# Mathematics

Curriculum > Middle > 8th Grade
• Curriculum Overview
• Syllabus
• Sample Lesson Plan
Curriculum Overview
Mathematics 5 th 2 semesters
Course Description
This course is designed for students in the fifth grade. They will learn about decimals, multiplying and dividing whole numbers, fractions and decimals, two- and three-dimensional shapes, and variables. They will learn these topics through bookwork, hands-on activities, and practice problems, the goal being to be ready for the next math level while being able to apply math skills to their daily lives.

## Unit 1: Place Value (and “Get to Know You” Activities)

Informational Knowledge Objectives
1. Students will get to know their classmates, and become familiar with classroom expectations.
2. Students will know the definitions of the vocabulary words, and use them in their math answers.
3. Students will know how to write a number in standard form, word form, and expanded form.
Procedural Knowledge Objectives
1. Students will be able to demonstrate appropriate classroom behavior.
2. Students will be able to define vocabulary words, and use them in their math answers.
3. Students will be able to write a number in standard form, word form, and expanded form.

## Unit 2: Numeration

Informational Knowledge Objectives
1. Students will know the base ten-numeration system and will know the name the place value of a given digit within a certain number.
2. Students will know how to compare whole and decimal numbers.
Suggestion:
Have students make a place value game (templates and instructions on line). Call out digits; students choose where to put that digit in order to create the largest possible number—or the smallest. (Many variations.)
Have students create cards, each with a digit. When a large number is called out, the students rearrange themselves, holding the cards where they can be seen, to create the called number (again, many variations)
Procedural Knowledge Objectives
1. Students will be able to explain the base ten-numeration system and name the place value of a digit within a certain number.
2. Students will be able to compare whole and decimal numbers.

## Unit 3: Adding and Subtracting Whole Numbers and Decimals

Informational Knowledge Objectives
1. Students will know how to use mental math.
2. Students will know how to round numbers.
3. Students will know how to estimate sums to solve different problems.
Procedural Knowledge Objectives
1. Students will be able to use mental math.
2. Students will be able to round numbers.
3. Students will be able estimate sums to solve different problems.

## Unit 4: Multiplying Whole Numbers

Informational Knowledge Objectives
Unit 4A:
1. Students will know how to use mental math to solve multiplication problems.
2. Students will know how to estimate products.
Unit 4B:
1. Students will know how to multiply with 1-digit numbers.
2. Students will know how to solve standard multiplication problems that involve a 1-digit number.
3. Students will know how to solve standard multiplication problems that involve two 2-digit numbers.
4. Students will know how to solve standard multiplication problems that involve 3-digit or larger numbers.
Unit 4C:
1. Students will know how to solve problems using exponential notation.
2. Students will know how to solve problems using diagrams and writing equations.
Procedural Knowledge Objectives
Unit 4A:
1. Students will be able to use mental math to solve multiplication problems.
2. Students will be able to estimate products.
Unit 4B:
1. Students will be able to multiply with 1-digit numbers.
2. Students will be able to solve standard multiplication problems that involve a 1-digit number.
3. Students will be able to solve standard multiplication problems that involve two 2-digit numbers.
4. Students will be able to solve standard multiplication problems that involve 3 digit or larger numbers.
Unit 4C:
1. Students will be able to solve problems using exponential notation.
2. Students will be able to solve problems using diagrams and writing equations.

## Unit 5. Division

Informational Knowledge Objectives
Unit 5A:
1. Students will know how to divide numbers by a 1-digit number, using different strategies.
2. Students will know different strategies to help them solve division problems with two-digit divisors.
3. Students will know the strategy for finding one-digit quotients when the divisor is a two digit number.
4. Students will know the strategy for dividing a three digit number by a two digit number to find a two digit quotient.
5. Students will know the strategy for solving division problems of 4 to 5 digit numbers by two digit divisors by using an estimate or by using a calculator where exact answers are needed.
Unit 5B:
1. Students will know how to determine the difference between useful information, missing information, and extra information.
Procedural Knowledge Objectives
Unit 5A:
1. Students will be able to divide numbers by a 1-digit number, using different strategies.
2. Students will be able to use appropriate strategies to help them solve division problems with two-digit divisors.
3. Students will be able to use the appropriate strategy for finding one-digit quotients when the divisor is a two digit number.
4. Students will be able to use the appropriate strategy for dividing a three digit number by a two digit number to find a two digit quotient.
5. Students will be able to use the appropriate strategy for solving division problems of 4 to 5 digit numbers by two digit divisors, using an estimate or by using a calculator where exact answers are needed.
Unit 5B:
1. Students will be able to determine the difference between useful information, missing information, and extra information.

## Unit 6. Variables and Expressions

Informational Knowledge Objectives
1. Students will know different words that describe algebraic expressions.
2. Students will know how to translate word phrases into algebraic expressions.
3. Students will know the difference between an algebraic expression and equation.
4. Students will know the use of patterns to show connections and solve algebraic problems.
5. Students will know the strategy for finding patterns and relationships to evaluate algebraic expressions.
6. Students will know the strategy for writing and solving algebraic expressions using addition, subtraction, and multiplication.
7. Students will know the distributive property and how to apply it to expressions and equations.
8. Students will know the order of operations to follow when solving equations.
9. Students will know how to use given information in problems to solve them.
10. Students will know the strategy for solving a problem by acting it out.
11. Students will know how to use different patterns to solve algebraic expressions.
Procedural Knowledge Objectives
1. Students will be able to use different words to describe algebraic expressions.
2. Students will be able to translate word phrases into algebraic expressions
3. Students will be able to state the difference between an algebraic expression and an equation.
4. Students will be able to use patterns to show connections and solve algebraic problems.
5. SWBAT use the strategy for finding patterns and relationships to evaluate algebraic expressions.
6. SWBAT use the strategy for writing and solving algebraic expressions using addition, subtraction, and multiplication
7. SWBAT use the distributive property and how to apply it to expressions and equations
8. SWBAT use the order of operations to follow when solving equations.
9. SWBAT use given information in problems to solve them
10. SWBAT use the strategy for solving a problem by acting it out.
11. SWBAT to use different patterns to solve algebraic expressions.

## Unit 7. Reviewing Basic Facts

Informational Knowledge Objectives
1. Students will know how to activate their prior knowledge to review multiplication facts.
2. Students will know review strategies for remembering vocabulary word definitions.
Procedural Knowledge Objectives
1. Students will be able to use their knowledge from previous topics to review multiplication and division facts.
2. Students will be able to recall previous vocabulary words.

## Unit 8. Multiplying and Dividing Decimals

Informational Knowledge Objectives
Multiplication:
1. Students will know the “short cut” strategy for multiplying decimals by 10, 100 and 1000.
2. Students will know how to multiply decimals by a whole number using the standard algorithm
3. Students will know how to estimate numbers using rounding and compatible numbers.
4. Students will know how to multiply two decimals using a standard algorithm.
Division:
1. Students will know the strategy for dividing decimals by 10, 100, and 1000.
2. Students will know how to divide a decimal by a whole number using the standard algorithm.
3. Students will know how to estimate quotients
4. using compatible numbers and rounding.
5. Students will know how to divide a decimal by a decimal using the standard algorithm.
6. Students will know the strategy to solve multiple-step problems.
Procedural Knowledge Objectives
Multiplication:
1. Students will be able to multiply decimals by 10, 100, and 1000 using a “short cut” strategy.
2. Students will be able to multiply decimals by a whole number using the standard algorithm.
3. Students will be able to round decimals to estimate a product.
4. Students will be able to multiply two decimals using the standard algorithm.
Division:
1. Students will be able to divide decimals by 10, 100, and 1000.
2. Students will be able to divide a decimal by a whole number using the standard algorithm.
3. Students will be able to estimate quotients using compatible numbers and rounding.
4. Students will be able to divide a decimal by a decimal using the standard algorithm.
5. Students will be able to solve word problems that involve more than one step.

## Unit 9. Shapes

Informational Knowledge Objectives
Lines and Angles
1. Students will know the geometric terms for lines and their derivatives.
2. Students will know how to identify angles.
3. Students will know how to measure angles correctly.
4. Students will know how to draw different angles using a given degree measurement.
5. Students will know how to classify different angles based on their characteristics.
6. Students will the definitions of different polygons based on their characteristics.
1. Students will know the definition of triangle, using the number of degrees in, and sides of, a polygon.
2. Students will know the different types of triangles.
3. Students will be able to find the missing angle of a triangle based on the angles given.
4. Students will know how to identify a quadrilateral
5. Students will know how many degrees are in quadrilaterals.
6. Students will know how to identify the different types of quadrilaterals.
7. Students will be able to identify the missing angle of a quadrilateral based on the angles given.
8. Students will know how to test generalizations of a pattern.
Procedural Knowledge Objectives
Lines and Angles
1. Students will be able to identify and name lines, planes, line segments, points, parallel lines, intersecting lines, and perpendicular lines.
2. Students will be able to define “angle”.
3. Students will be able to measure angles correctly.
4. 8-2: Students will be able to draw different angles using a given degree measurement.
5. 8-2: Students will be able to classify different angles based on their characteristics.
6. 8-3: Students will be able to identify and classify the different polygons based on their characteristics.
1. Students will be able to identify a triangle based on its characteristics.
2. Students will be able to identify the different types of triangles.
3. Students will be able to find the missing angle of a triangle based on the angles given
4. Students will be able to define “quadrilateral”.
5. Students will be able to tell the number of degrees in quadrilaterals.
6. Students will be able to name the different types of quadrilaterals.
7. Students will be able to identify a missing angle of a quadrilaterals based on the angles given.
8. Students will be able to make and test generalizations of a pattern to see if they are true.

## Unit 10. Fractions and Decimals

Informational Knowledge Objectives
1. Students will know the names of the parts of a fraction.
2. Students will be able to illustrate a fraction via a picture.
3. Students will know that fractions are division problems, and can be related to dividing a whole into different parts.
4. Students will be able to find and place fractions on a number line.
5. Students will know that fractions greater than 1 will be represented as a mixed number or improper fraction.
6. Students will know how to identify equivalent fractions.
7. Students will know how to compare and order fractions.
8. Students will know the definition of “common factor”.
9. Students will know how to find the greatest common factor of given numbers.
10. Students will know how to recognize a fraction in simplest form.
11. Students will know how fractions with tens and 100s as a denominator translate to decimals.
12. Students will know how fractions with one thousand as a denominator translate into decimals.
13. Students will know how to label a point on a number line using a fraction
14. Students will know how to explain estimated fractional amounts of an object.
Procedural Knowledge Objectives
1. Students will be able to identify the different parts of the fraction.
2. Students will be able to illustrate a fraction via a picture.
3. Students will be able to identify fractions as division problems, and describe the process of dividing a whole into equal parts.
4. Students will be able to use a number line to find and place fractions.
5. Students will be able to write fractions that are greater than one as a mixed number or an improper fraction.
6. Students will be able to use computational procedures to find equivalent fractions.
7. Students will be able to compare and order fractions.
8. Students will be able to define “common factor”.
9. Students will be able to find the greatest common factor of given numbers.
10. Students will be able to identify fractions that are in the simplest form and find the simplest form of a fraction
11. Students will be able to represent decimals as fractions and fractions (with denominators of 100 and 10) as decimals.
12. Students will be able to represent decimals (thousandths) as fractions and fractions with denominators of 1000 as decimals.
13. Students will be able to write a fraction and a decimal for a point on a number line.
14. Students will be able to explain how they estimated fractional amounts of an object.

## Unit 11. Adding and Subtracting Fractions and Mixed Numbers

Informational Knowledge Objectives
1. Students will know the computational procedures of adding and subtracting fractions with like denominators.
2. Students will know how to find the common multiple of two numbers.
3. Students will know the computational procedures of adding fractions with unlike denominators.
4. Students will know how to use models and computational procedures to subtract fractions with unlike denominators.
5. Students will know how to use models and computational procedures to add mixed numbers.
6. Students will know how to use models and computational procedures to subtract mixed numbers.
7. Students will know how to use the “try, check, and revise” strategy.
Procedural Knowledge Objectives
1. Students will be able to use models and computational procedures to add and subtract fractions with like denominators.
2. Students will be able to determine common multiples of numbers.
3. Students will be able to use models and computational procedures to add fractions with unlike denominators.
4. Students will be able to subtract fractions with unlike denominators.
5. Students will be able to add mixed numbers.
6. Students will be able to subtract mixed numbers.
7. Students will be able to use the “three steps- try, check, and revise”- strategy to solve problems.

## Unit 12. Multiplying and Dividing Fractions and Mixed Numbers

Informational Knowledge Objectives
1. Students will know the process of multiplying a fraction by a whole number.
2. Students will know the process of multiplying two fractions.
3. Students will know the process of multiplying mixed numbers.
4. Students will know the process of dividing whole numbers by fractions.
Students will know how to use diagrams and written equations to solve problems.
1. Students will know how to choose the most appropriate units of length and measure to the nearest inch, half-inch, quarter-inch or eight-inch.
2. Students will know how to choose the most appropriate metric unit of length and measure to the nearest centimeter and millimeter.
3. Students will know the process of finding perimeter in a polygon.
4. Students will know the formula for finding the area of rectangles and squares.
5. Students will know the formula for finding the area of parallelograms.
6. Students will know how to find the length of one side of a parallelogram when the area and one side is given.
Procedural Knowledge Objectives
1. Students will be able to multiply a fraction by a whole number.
2. Students will be able to find the product of two fractions.
3. Students will be able to multiply mixed numbers.
4. Students will be able to divide whole numbers by fractions.
Students will be able to use diagrams and write equations to solve problems.
1. Students will be able to choose the most appropriate units of length and measure to the nearest inch, half-inch, quarter-inch or eight-inch.
2. Students will be able to choose the most appropriate metric unit of length and measure to the nearest centimeter and millimeter.
3. Students will be able to find the perimeter of a polygon.
4. Students will be able to find the areas of squares and rectangles using a formula.
5. Students will be able to find the area of a parallelogram using a formula.
6. Students will be able to find the length of one side of a parallelogram when the area and one side is given.
Course Description
This course is made for students in the 5th Grade. This math course will build on the material they learned in fourth grade. They will learn about decimals, multiplying and dividing whole numbers, fractions and decimals, fractions, shapes and much more. They will learn these topics through different bookwork, activities and practice problems.
Course Learning Objectives
1. Divide multi-digit numbers; solve real-world and mathematical problems using arithmetic.
2. Read, write, represent and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real-world and mathematical situations.
3. Add and subtract fractions, mixed numbers and decimals to solve real-world and mathematical problems.
4. Recognize and represent patterns of change; use patterns, tables, graphs and rules to solve real-world and mathematical problems.
5. Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving whole numbers
6. Understand and interpret equations and inequalities involving variables and whole numbers, and use them to represent and solve real-world and mathematical problems.
7. Describe, classify, and draw representations of three-dimensional figures.
8. Determine the area of triangles and quadrilaterals; determine the surface area and volume of rectangular prisms in various contexts.
9. Display and interpret data; determine mean, median and range.
Resources
Envisions Mathematics
Units, Themes, and Course Organization
Topic 1: Numeration
Topic 2: Adding and Subtracting Whole Numbers and Decimals
Topic 3: Multiplying Whole Numbers
Topic 4: Dividing by 1-digit Divisors
Topic 5: Dividing by 2-digit- Divisors
Topic 6: Variables and Expressions
Topic 7: Multiplying and dividing decimals
Topic 8: Shapes
Topic 10: Adding and Subtracting Fractions and Mixed Numbers
Topic 11: Multiplying Fractions and Mixed numbers
Topic 12: Perimeter and Area
Topic 13: Solids
Topic 14: Measurement units, time and temperature
Topic 15: Solving and Writing Equations and inequalities
Topic 16: Ratio and Percent
Topic 17: Equations and Graphs
Topic 18: Graphs and Data
Topic 19: Transformations, Congruence, and Symmetry
Topic 20: Probability
Learning Activities and Methods
Class Discussions
Projects
Practice Problems
Tests/Quizzes
Assessment

#### Evaluation:

 Tests/Quizzes 35% Projects 25% Homework 15% Class-work 15% Participation 10%

 A+ 97 - 100 4 A 94 - 96.99 4 A- 90 - 93.99 3.7 B+ 87 - 89.99 3.3 B 84 - 86.99 3 B- 80 - 83.99 2.7 C+ 77 - 79.99 2.3 C 74 - 76.99 2 C- 70 - 73.99 1.7 D+ 67 - 69.99 1.3 D 64 - 66.99 1 D- 60 - 63.99 0.7 F 0 - 59.99 0
Classroom Policies/Rules
1. All students are expected to treat themselves, their classmates, their teachers, and the classroom materials with respect.
2. All students are expected to try their best at all times
3. There is 0 tolerance for bullying and will be handled on a case-to-case basis.
4. If a student shows academic dishonesty on any test/quiz/class-work/homework, they will receive a 0 on the assignment and a letter will be sent home to the parents.
Supplies
Notebook, Pencils
Questions
Parents, guardians, and host parents: If you have any questions, comments, or concerns, please feel free to contact me. E-mail is the best way to reach me. I am happy to answer questions via e-mail, meet with you in person, or have a phone conversation.
If you have questions, are struggling with the course material, are concerned about your grade, or have any other concerns, please come talk to me sooner rather than later. I am happy to find a time to meet with you before school, after school, or during lunch.

#### Important Note:

This Syllabus is intended to be a guideline. The description, requirement, and schedule are subject to revision and refinement by the teacher.

Weekly Informational Knowledge Overview - (Students will know...)
Students will get to know their classmates.
Students will know the different definitions of the vocabulary words, and use them in their math answers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to write a number in standard form, word form, and expanded form.
Monday
Tuesday
Wednesday
Thursday
Friday
***FIRST DAY OF CLASS***
Learning Objective:
Students will get to know their classmates.
Language Objective:
Students will use their speaking skills to practice speaking in front of the class.
Main Activity:
Get to know you activities
Evaluation:
Vocabulary:
Homework:
Learning Objective:
Students will learn the test taking rules in the 5th grade classroom.
Language Objective:
Students will get to know their classmates.
Main Activity:
Students will take a placement test, so I can see what each student remembers from last year. They will also take timed fact test to practice their facts.
Evaluation:
Placement test, timed test.
Vocabulary:
Homework:
Learning Objective:
Students will be able to write the standard, expanded, and word forms of whole numbers in the billions, and identify the value of digits in whole number.
Language Objective:
Students will be able to write a number in standard form, word form, and expanded form.
Main Activity:
Discussion on place value, students will make their own place value chart for reference. We will then review page 4 and page 5. We will do practice problems from these pages.
Evaluation:
practice problems.
Vocabulary:
digits, value, standard form, expanded form, word form
Homework:
Learning Objective:
Students will be able to write the standard, expanded, and word forms of whole numbers in the billions, and identify the value of digits in whole number.
Language Objective:
Students will be able to write a number in standard form, word form, and expanded form.
Main Activity:
Quick Check pg. 22
Human Place Value Activity.
Evaluation:
pg. 22
Vocabulary:
Homework:
math worksheets.
Learning Objective:
Students will be able to write the standard, expanded, and word forms of whole numbers in the billions, and identify the value of digits in whole number.
Language Objective:
Students will be able to write a number in standard form, word form, and expanded form.
Main Activity:
Start topic two, have students take notes on the topic. Practice problems pg. 7 #1-18
Evaluation:
Evaluation: pg. 7
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Textbook
Math Placement test
Place Value Game Kits
State of Minnesota Standards Covered
5.1.2.1 Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know the base ten-numeration system and be able to name the place value in which a digit is in in a certain number.
Students will know how to compare whole and decimal numbers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use the base ten-numeration system and be able to name the place value in which a digit is in in a certain number.
Students will be able to compare whole and decimal numbers.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Review concepts learned in 1-1
Language Objective:
Students will be able to use the base ten-numeration system and be able to name the place value in which a digit is in in a certain number.
Main Activity:
Place Value Board Activity, Practice worksheets.
Evaluation:
worksheets
Vocabulary:
Homework:
Practice 1-1, Reteaching 1-1
Learning Objective:
Students will compare and order whole numbers through billions.
Language Objective:
Students will be able to name a place value of any given number through the billions.
Main Activity:
Comparing and Ordering Whole numbers 1-2, Reviewing how and practice problems.
Evaluation:
Quick Check 1-2
Vocabulary:
Homework:
Practice 1-2, Reteaching 1-2 worksheet.
Learning Objective:
Students will write decimals in standard form, word form, and expanded from through millionths.
Language Objective:
Students will be able to name a place value of any given number through the millionths.
Main Activity:
Decimal Place Value 1-3, reviewing and practice problems.
Evaluation:
Quick check 1-3
Vocabulary:
Homework:
Practice 1-3, Reteaching 1-3.
Learning Objective:
Students will compare and order decimals through thousandths.
Language Objective:
Students will be able to name a place value of any given number through the millionths.
Main Activity:
Comparing and Ordering Decimals; Guided practice and practice problems.
Evaluation:
Quick Check 1-4.
Vocabulary:
Homework:
Reteaching 1-4, Practice 1-4.
Learning Objective:
Students will look for patterns with decimal –number sets in order to solve a problem.
Language Objective:
Students will know how to compare whole and decimal numbers.
Main Activity:
Problem Solving: looking for a pattern, practice problems.
Evaluation:
Quick Check 1-5
Vocabulary:
Homework:
Review for Math Test Tuesdays.
Materials / Resources (including technology)
Envisions textbook.
Envision worksheets copied.
State of Minnesota Standards Covered
5.1.2.1 Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.
5.1.2.2 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.
5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know the base ten-numeration system and be able to name the place value in which a digit is in in a certain number.
Students will know how to compare whole and decimal numbers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use the base ten-numeration system and be able to name the place value in which a digit is in in a certain number.
Students will be able to compare whole and decimal numbers.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will be able to recall the previous knowledge they learned from the previous lessons to review for their test.
Language Objective:
Students will be able to use the base ten-numeration system and be able to name the place value in which a digit is in in a certain number.
Main Activity:
Review Game/worksheets for Topic 1 test.
Evaluation:
worksheets
Vocabulary:
Homework:
Study for Math Test.
Learning Objective:
Students will be able to show what they know in a form of a test.
Language Objective:
Students will be able to use the base ten-numeration system and be able to name the place value in which a digit is in in a certain number.
Main Activity:
Math Test
Evaluation:
Math Test
Vocabulary:
Homework:
Learning Objective:
Students will review basic math concepts with adding and subtracting numbers.
Language Objective:
Students will be able to compare whole and decimal numbers.
Main Activity:
Introduction to topic 2, Adding and Subtracting numbers. Pg. 22+23.
Evaluation:
problems 1-14 on pg. 23.
Vocabulary:
commutative property, associative property, compensation, compatible numbers, rounding.
Homework:
Learning Objective:
Students compute sums and differences mentally using the commutative and associative properties of addition compatible numbers and compensation.
Language Objective:
Students will be able to compare whole and decimal numbers.
Main Activity:
Topic 2-1 Mental Math: Review mental math process, practice problems 9-34, Quick check 2-1.
Evaluation:
Quick check 2-1.
Vocabulary:
Homework:
reteaching 2-1, practice 2-1.
Learning Objective:
Students will round whole numbers, through millions and decimals through thousandths.
Language Objective:
Students will be able to compare whole and decimal numbers.
Main Activity:
Topic 2-2: Rounding Whole Numbers and Decimals, Practice problems 9-29 Quick check.
Evaluation:
Quick Check 2-2.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions math book
Envisions Worksheets
State of Minnesota Standards Covered
5.1.2.1 Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.
5.1.2.2 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.
5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to use mental math, rounding numbers, and estimating sums to solve different problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will recall the definitions of Associative Property of Addition, Commutative Property of Addition, difference, and sum. Students will compute sums and differences mentally using the Commutative and Associative Properties of Addition, compatible numbers, and compensation. Language Objective: Students will be able to use math vocabulary words to discuss math problems.
Language Objective:
Students will be able to use math vocabulary words to discuss math problems.
Main Activity:
Introduction to Topic 2. Reviewing of vocabulary and basic timed math facts. Start topic 2-1: Mental Math.
Evaluation:
Math facts, Quick Check 2-1.
Vocabulary:
commutative property, associative property, compensation, compatible numbers, rounding
Homework:
Reteaching 2-1, Practice 2-1, Enrichment 2-1.
Learning Objective:
Students will round whole numbers through millions and decimals through thousandths.
Language Objective:
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Main Activity:
Topic 2-2: Rounding numbers. Review what rounding is, practice problems.
Evaluation:
Quick Check 2-2
Vocabulary:
Rounding
Homework:
Reteaching 2-2, Practice 2-2, Enrichment 2-2
Learning Objective:
Students use rounding and compatible numbers to estimate sums and differences of whole numbers and decimals.
Language Objective:
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Main Activity:
Topic 2-3: Estimating Sums and Differences, review rounding and sums and differences. Practice Problems.
Evaluation:
Quick Check 2-3.
Vocabulary:
Homework:
Reteaching 2-3, Practice 2-3, Enrichment 2-3.
Learning Objective:
Students will use pictures and write equations to help them solve problems
Language Objective:
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Main Activity:
2-4: Problem solving: Draw a picture and write an equation. Review problem solving and how to draw a picture practice problem as a class. Independent practice problems.
Evaluation:
Quick Check 2-4.
Vocabulary:
Homework:
Reteaching 2-4, Practice 2-4, Enrichment 2-4.
Learning Objective:
Students will compute sums and differences of two large whole numbers.
Language Objective:
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Main Activity:
Topic 2-5: Review adding and subtracting; do practice problems as a group. Independent practice problems.
Evaluation:
Quick 2-5.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math Book
State of Minnesota Standards Covered
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.2.1 Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.
5.1.2.2 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.
5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to use mental math, rounding numbers, and estimating sums to solve different problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know how to use mental math, rounding numbers, and estimating sums to solve different problems.
Language Objective:
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Main Activity:
Teacher led examples of adding decimals, practice problems.
Evaluation:
Quick check 2-6.
Vocabulary:
Homework:
Reteaching 2-6, Practice 2-6, Enrichment 2-6.
Learning Objective:
Students will know how to use mental math, rounding numbers, and estimating sums to solve different problems.
Language Objective:
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Main Activity:
Teacher led examples of adding decimals, practice problems.
Evaluation:
Quick check 2-7.
Vocabulary:
Homework:
Reteaching 2-7, Practice 2-7, Enrichment 2-7.
Learning Objective:
Students will use multiple steps to solve a variety of problems.
Language Objective:
Students will be able to read the word problems and understand the meaning of them.
Main Activity:
Teacher led examples of adding decimals, practice problems.
Evaluation:
Quick check 2-8.
Vocabulary:
Homework:
Reteaching 2-8, Practice 2-8, Enrichment 2-8.
Learning Objective:
Students will know how to use mental math, rounding numbers, and estimating sums to solve different problems.
Language Objective:
Students will be able to use mental math, rounding numbers, and estimating sums to solve different problems.
Main Activity:
Review Game.
Evaluation:
Review Game.
Vocabulary:
Homework:
Study for test, Complete pg. 50 and 51.
Learning Objective:
Students will use the knowledge they have learn from topic 2 to take their topic 2 test.
Language Objective:
Review.
Main Activity:
Topic 2 Test
Evaluation:
Test
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math textbook
Envisions Worksheets topic 2-6 to 2-8
Review Game
State of Minnesota Standards Covered
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
5.1.2.1 Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.
5.1.2.2 Find 0.1 more than a number and 0.1 less than a number. Find 0.01 more than a number and 0.01 less than a number. Find 0.001 more than a number and 0.001 less than a number.
5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
Weekly Informational Knowledge Overview - (Students will know...)
Students will be able to use mental math to solve multiplication problems.
Students will know how to estimate products.
Students will know how to multiply by 1-digit numbers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use mental math to solve multiplication problems.
Students will be able to estimate products.
Students will be able to multiply by 1-digit numbers.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Learning Objective:
Students will be able to define the vocabulary words for topic 3.
Language Objective:
Students will be able to use mental math to solve multiplication problems.
Main Activity:
Introduction to Topic 3; review vocabulary words; review, basic fact time test.
Evaluation:
Time test
Vocabulary:
commutative property of multiplication, zero property of multiplication, partial product, base, factors, associative property of multiplication, identity property of multiplication, product, multiple, overestimate, underestimate, exponent, exponential notation, expanded form, standard form, squared, cubed.
Homework:
None
Learning Objective:
Students will identify and apply the Commutative Associative Identity, and Zero Properties of Multiplication.
Language Objective:
Students will be able to use mental math to solve multiplication problems.
Main Activity:
We will review the vocabulary words, class problem-based learning activity, introduce 3-1: Multiplication Properties, practice problems 9-31 Odds, Quick check 3-1.
Evaluation:
Quick check 3-1.
Vocabulary:
Commutative Property of Multiplication, Associative Property of Multiplication, Identity Property of Multiplication, Zero Property of Multiple.
Homework:
Reteaching 3-1, Practice 3-1, Enrichment 3-1.
Learning Objective:
Students will be able to mentally compute products of whole numbers using place value patterns and the properties of multiplication.
Language Objective:
Students will be able to use mental math to solve multiplication problems.
Main Activity:
Review lesson 3-1, review vocabulary words, 3-2 class problems, Practice problems 11-29 Odd, Quick Check 3-2.
Evaluation:
Quick Check 3-2.
Vocabulary:
Factor, product, multiple
Homework:
Reteaching 3-2, Practice 3-2, Enrichment 3-2.
Learning Objective:
Students will be able to use rounding or compatible numbers to estimate products of whole numbers.
Language Objective:
Students will be able to estimate products.
Main Activity:
Review lesson 3-2, review vocabulary words, 3-3 class problems, Practice problems 11-29 Odd, Quick Check 3-3, Reteaching 3-3, Practice 3-3 or Enrichment 3-3.
Evaluation:
Reteaching 3-3, Practice 3-3 or Enrichment 3-3.
Vocabulary:
underestimate, overestimate
Homework:
None
Materials / Resources (including technology)
Envisions Math book,
3-1 worksheets
3-2 worksheets
State of Minnesota Standards Covered
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to solve standard multiplication problems that involve a 1-digit number.
Students will know how to solve standard multiplication problems that involve two 2-digit numbers.
Students will know how to solve standard multiplication problems that involve 3 digit or larger numbers.
Students will know how to solve problems using exponential notation.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to solve standard multiplication problems that involve a 1-digit number.
Students will be able to solve standard multiplication problems that involve two 2-digit numbers.
Students will be able to solve standard multiplication problems that involve 3 digit or larger numbers.
Students will be able to solve problems using exponential notation.
Monday
Tuesday
Wednesday
Thursday
Friday
***NO CLASS – LA NAVAL CELEBRATION***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Learning Objective:
Students will use partial products or the traditional algorithm to multiply multi-digit numbers by a one-digit number.
Language Objective:
Students will be able to solve standard multiplication problems that involve a 1-digit number.
Main Activity:
Introduction to 3-4, Problem based learning 3-4, Practice Problems 3-4, Quick check 3-4.
Evaluation:
Quick check 3-4.
Vocabulary:
None
Homework:
Reteaching 3-4, Practice 3-4, or Enrichment 3-4.
Learning Objective:
Students will multiply two digit numbers by two digit numbers.
Language Objective:
Students will be able to solve standard multiplication problems that involve two 2-digit numbers.
Main Activity:
Introduction to 3-5, Review Partial Products, Problem based learning 3-5, Practice Problems 3-5, Quick check 3-5.
Evaluation:
Quick Check 3-5.
Vocabulary:
partial products.
Homework:
Reteaching 3-5, Practice 3-5, or Enrichment 3-5.
Learning Objective:
Students will multiply two-digit numbers by factors with more than two digits.
Language Objective:
Students will be able to solve standard multiplication problems that involve two 2-digit numbers.
Main Activity:
Introduction to 3-6, Review Partial Products, Problem based learning 3-6, Practice Problems 3-6, Quick check 3-6.
Evaluation:
Quick check 3-6.
Vocabulary:
None
Homework:
Reteaching 3-6, Practice 3-6, or Enrichment 3-6.
Learning Objective:
Students will learn exponential notation.
Language Objective:
Students will be able to solve problems using exponential notation.
Main Activity:
Introduction to 3-7, Review Partial Products, Problem based learning 3-7, Practice Problems 3-7, Quick check 3-7.
Evaluation:
Quick Check 3-7.
Vocabulary:
exponential notation, exponent, base, standard form, expanded form, squared, cubed
Homework:
Materials / Resources (including technology)
Envisions Math Text book
Graph Paper
3-4 to 3-7 worksheets
State of Minnesota Standards Covered
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to solve problems using exponential notation.
Students will know how to solve problems using diagrams and writing equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to solve problems using exponential notation.
Students will be able to solve problems using diagrams and writing equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will to solve problems using exponential notation.
Language Objective:
Students will be able to solve problems using exponential notation.
Main Activity:
3-7 review, Introduce exponential notation, problem-based learning activity, practice problems 3-7, Quick check 3-7.
Evaluation:
Quick check 3-7.
Vocabulary:
None
Homework:
Reteaching 3-7, Practice 3-7 or Enrichment 3-7.
Learning Objective:
Students will use diagrams and write equations to solve problems.
Language Objective:
Students will be able to solve problems using diagrams and writing equations.
Main Activity:
3-8 review, Introduce problem solving using equations and pictures, practice problems 3-8, Quick check 3-8.
Evaluation:
Quick Check 3-8.
Vocabulary:
Homework:
Reteaching 3-8, Practice 3-8 or Enrichment 3-8.
Learning Objective:
Students will be able to practice the skills they learned in Topic 3 to study for test.
Language Objective:
Students will be able to solve problems using diagrams and writing equations.
Main Activity:
Center Activities.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Review Packet.
Learning Objective:
Students will be able to practice the skills they learned in Topic 3 to study for test.
Language Objective:
Review
Main Activity:
Review Packet
Evaluation:
none
Vocabulary:
None
Homework:
None
***NO CLASS, FEAST OF THE HOLY SEPULCHRE***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Review Packet
Center Activities
Envisions Book
State of Minnesota Standards Covered
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
5.2.1.1 Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to solve problems using exponential notation.
Students will know how to solve problems using diagrams and writing equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to solve problems using exponential notation.
Students will be able to solve problems using diagrams and writing equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will use diagrams and write equations to solve problems.
Language Objective:
Students will be able to solve problems using diagrams and writing equations.
Main Activity:
3-8 review, Introduce problem solving using equations and pictures, practice problems 3-8, Quick check 3-8.
Evaluation:
Quick Check 3-8.
Vocabulary:
Homework:
Reteaching 3-8, Practice 3-8 or Enrichment 3-8.
Learning Objective:
Students will be able to practice the skills they learned in Topic 3 to study for test.
Language Objective:
Students will be able to solve problems using diagrams and writing equations.
Main Activity:
Center Activities.
Evaluation:
Teacher watches and moitors.
Vocabulary:
Homework:
Review Packet.
Learning Objective:
Students will be able to practice the skills they learned in Topic 3 to study for test.
Language Objective:
Students will be able to solve problems using diagrams and writing equations.
Main Activity:
Review Game.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Study for Test pg. 78-79 #1-14
Learning Objective:
Students will use what they learned in Topic 3 to take their test.
Language Objective:
Review.
Main Activity:
Topic 3 Test.
Evaluation:
Topic 3 Test.
Vocabulary:
None
Homework:
None
***HALLOWEEN PARTY***
Learning Objective:
Language Objective:
Main Activity:
Halloween Party
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Textbook
Topic 3 Test
Review Game
Center Activities
State of Minnesota Standards Covered
5.2.1.1 Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to divide different numbers by a 1-digit number, using different strategies.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will learn the different vocabulary needed to understand this topic
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Reviewing of previous topics, review vocabulary, introduction new topic.
Evaluation:
None
Vocabulary:
dividend, divisor, quotient, remainder, factor pair, divisible, prime number, composite number, prime factorization, factor tree
Homework:
Learning Objective:
Students find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Introduce 4-1, Do example problems as a class, have independent practice. Quick check 4-1.
Evaluation:
Quick Check 4-1.
Vocabulary:
Homework:
reteaching 4-1, practice 4-1, enrichment 4-1.
***END OF GRADING PERIOD 1 ***
Learning Objective:
Students use rounding and compatible numbers to estimate quotients of whole numbers.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Introduce 4-2, Do example problems as a class, have independent practice. Quick check 4-2.
Evaluation:
Quick Check 4-2.
Vocabulary:
Homework:
reteaching 4-2, practice 4-2, enrichment 4-2.
***START OF GRADING PERIOD 2 ***
Learning Objective:
Students use rounding and compatible numbers to estimate quotients of whole numbers.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Review Rounding and estimating. Practice problems.
Evaluation:
Practice worksheets.
Vocabulary:
Homework:
Rounding Review Packet.
Learning Objective:
students check problems for reasonableness by using various methods, including estimation and checking their answers.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Introduce 4-3, Do example problems as a class, have independent practice. Quick check 4-2.
Evaluation:
Quick Check 4-3.
Vocabulary:
Homework:
Reteaching 4-3, practice 4-3, enrichment 4-3.
Materials / Resources (including technology)
Envisions Math book
Worksheets
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to divide different numbers by a 1-digit number, using different strategies.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know how to check problems for reasonableness by various methods, including estimation and checking their final answer.
Language Objective:
Students will be able to check problems for reasonableness by various methods, including estimation and checking their final answer.
Main Activity:
Introduce 4-4, Do example problems as a class, have independent practice. Quick check 4-4.
Evaluation:
Quick Check 4-4.
Vocabulary:
Homework:
Reteaching 4-4, practice 4-4, enrichment 4-4.
Learning Objective:
Students divide three-digit whole numbers by one digit divisors.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Introduce 4-5, Do example problems as a class, have independent practice. Quick check 4-5.
Evaluation:
Quick Check 4-5.
Vocabulary:
Homework:
Reteaching 4-5, practice 4-5, enrichment 4-5.
Learning Objective:
Students divide with zeros in the quotient.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Introduce 4-6, Do example problems as a class, have independent practice. Quick check 4-6.
Evaluation:
Quick Check 4-6.
Vocabulary:
Homework:
Reteaching 4-6, practice 4-6, enrichment 4-6.
Learning Objective:
Students use divisibility rules to determine if a number is divisible by another and to find factor pairs of a given number.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Introduce 4-7, Do example problems as a class, have independent practice. Quick check 4-7.
Evaluation:
Quick Check 4-7.
Vocabulary:
Homework:
Reteaching 4-7, practice 4-7 enrichment 4-4.
Learning Objective:
Students identify number as prime or composite and find the prime factorization of a number.
Language Objective:
Students will be able to divide different numbers by a 1-digit number, using different strategies.
Main Activity:
Introduce 4-8, Do example problems as a class, have independent practice. Quick check 4-8.
Evaluation:
Quick Check 4-8.
Vocabulary:
Homework:
Reteaching 4-8, practice 4-8, enrichment 4-8.
Materials / Resources (including technology)
Envisions Math book
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know different strategies for dividing by 1-digit numbers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use different strategies for dividing by 1-digit numbers.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will divide with zeros in the quotient.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Review and finish bookwork from Friday. Quick check 4-6.
Evaluation:
Quick check 4-6.
Vocabulary:
Homework:
reteaching 4-6, practice 4-6, or enrichment 4-6.
Learning Objective:
Students will use divisibility rules to determine if a number is divisible by another given factor pairs of a given number.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Introduce lesson 4-7, factors. Examples. Practice problems. Quick check 4-7.
Evaluation:
Quick check 4-7.
Vocabulary:
Homework:
reteaching 4-7, practice 4-7, or enrichment 4-7.
Learning Objective:
Students will identify numbers as prime or composite numbers and find the prime factorization of a number.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Introduce lesson 4-8, factors. Examples. Practice problems. Quick check 4-8.
Evaluation:
Quick check 4-8.
Vocabulary:
Homework:
reteaching 4-8, practice 4-8, or enrichment 4-8.
Learning Objective:
Students will use pictures and equations to help them represent remainders in a problem.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Introduce lesson 4-9, factors. Examples. Practice problems. Quick check 4-9.
Evaluation:
Quick check 4-9.
Vocabulary:
Homework:
reteaching 4-9, practice 4-9, or enrichment 4-9.
Learning Objective:
Students will review what they learn by doing different math centers.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Math Centers.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math
Math Centers
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know different strategies for dividing by 1-digit numbers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use different strategies for dividing by 1-digit numbers
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will identify numbers as prime or composite and find the prime factorization number.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Review bookwork from 4-8. Practice prime factorization. Group work on prime factorization.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
4-8 reteaching, practice or enrichment.
Learning Objective:
Students use pictures and equations to help them represent remainders in a problem.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Introduce 4-9problem solving and picture drawing, give examples, practice problems. Quick check4-9.
Evaluation:
Quick check4-9.
Vocabulary:
Homework:
4-8 reteaching, practice or enrichment.
Learning Objective:
Students will review different strategies to help them solve division problems.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Topic 4 Center Activities.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
***AMERICAN THANKSGIVING***
Learning Objective:
Students will review different strategies to help them solve division problems.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Math Review Game.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Study for Math test
Learning Objective:
Students will review different strategies to help them solve division problems.
Language Objective:
Students will be able to use different strategies for dividing by 1-digit numbers.
Main Activity:
Topic 4 Math Test.
Evaluation:
Test
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math
Center Activities
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know the strategies and procedures to solve math problems from the previous 4 topics.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to recall strategies and procedures to solve math problems from the previous 4 topics.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will be able to recall how to solve different division problems as a review for their Topic 4 test.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
Topic 4 review packet.
Evaluation:
Review packet.
Vocabulary:
Homework:
pg. 114-115 in math textbook #1-13.
Learning Objective:
Students will be able to recall how to solve different division problems for their Topic 4 test.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
Topic 4 test.
Evaluation:
Review packet.
Vocabulary:
Homework:
Learning Objective:
Students will review previous topics and be able to solve different types of addition, subtraction, multiplication, division, and place value problems.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
Topic 1-4 review of Place value.
Evaluation:
Review packet.
Vocabulary:
Homework:
Topic 4 review packet
Learning Objective:
Students will review previous topics and be able to solve different types of addition, subtraction, multiplication, division, and place value problems.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
Topic 4 review of addition and subtraction.
Evaluation:
Review packet.
Vocabulary:
Homework:
Topic 4 review packet.
Learning Objective:
Students will review previous topics and be able to solve different types of addition, subtraction, multiplication, division, and place value problems.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
topic 4 review of multiplication and division.
Evaluation:
Review packet.
Vocabulary:
Homework:
Topic 4 review packet.
Materials / Resources (including technology)
Topic 1-4 review materials
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will be able to recall how to solve different division problems as a review for their Topic 4 test.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Monday
Tuesday
Wednesday
Thursday
Friday
***NO CLASS, FOUNDATION DAY***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
***NO CLASS***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Learning Objective:
Students will be able to recall how to solve different division problems as a review for their Topic 4 test.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
Review activities of Topic 1-4
Evaluation:
Review packet
Vocabulary:
Homework:
Math Packet
Learning Objective:
Students will be able to recall how to solve different division problems as a review for their Topic 4 test.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
Review activities of Topic 1-4
Evaluation:
Review packet
Vocabulary:
Homework:
Reteaching 1-3 Set Bookwork
Learning Objective:
Students will be able to recall how to solve different division problems as a review for their Topic 4 test.
Language Objective:
Students will be able to use strategies and procedures to solve math problems from the previous 4 topics.
Main Activity:
Topic 1-4 Math Test
Evaluation:
TEST
Vocabulary:
Homework:
None
Materials / Resources (including technology)
Review materials
Topic 1-4 Test
State of Minnesota Standards Covered
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know different strategies to help them solve division problems with two-digit divisors
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to solve math problems involving two digit divisors.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will review concepts from previous Topics. Students will learn the vocabulary words for this Topic.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Review on pg. 120-121, Review Vocabulary, Practice Multiplication facts.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Divisor, Quotient, Dividend, Remainder
Homework:
None
Learning Objective:
Students will find the quotients of division problems whose dividends and divisors are multiples of 10. Where the division involves a basic fact.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Introduce Topic 5-1, Review lesson, Practice problems.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Practice 5-1 or Enrichment 5-1.
Learning Objective:
Students will be able to use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Introduce Lesson 5-2, Review lesson, Practice Problems, Quick check 5-2.
Evaluation:
Quick check 5-2.
Vocabulary:
Homework:
Reteaching 5-2, Practice 5-2 and/or Enrichment 5-2.
Learning Objective:
Students will find hidden question or questions to solve multiple step problems.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Introduce Lesson 5-3, Review lesson, Practice Problems, Quick check 5-3.
Evaluation:
Quick Check 5-3.
Vocabulary:
Homework:
Reteaching 5-3, Practice 5-3 and/or Enrichment 5-3.
Learning Objective:
Students will participate in different holiday activities.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Holiday Activities.
Evaluation:
None
Vocabulary:
Homework:
None
Materials / Resources (including technology)
Envisions Math Book
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know different strategies to help them solve division problems with two-digit divisors
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to solve math problems involving two digit divisors.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will review the concepts from lesson 5-1 and 5-2.
Language Objective:
Review
Main Activity:
Review Lesson 5-1.
Evaluation:
Reteaching 5-1.
Vocabulary:
Homework:
Learning Objective:
Students will review the concepts from lesson 5-1 and 5-2.
Language Objective:
Review
Main Activity:
Review Lesson 5-2.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Learning Objective:
Students find the hidden question or questions to solve multiple step problems.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Introduce 5-3, example problems 5-3, practice problems 5-3, Quick check 5-3.
Evaluation:
Quick check 5-3.
Vocabulary:
Homework:
Practice 5-3 and Reteaching 5-3 or Enrichment 5-3.
Learning Objective:
Students find quotients with a two-digit divisor that is a multiple of ten.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Introduce 5-4, example problems 5-4, practice problems 5-4, Quick check 5-4.
Evaluation:
Quick check 5-4.
Vocabulary:
Homework:
Practice 5-4 and Reteaching 5-4 or Enrichment 5-4.
Learning Objective:
Students will find one-digit quotients where the divisor is a two-digit number.
Language Objective:
Students will be able to solve math problems involving two digit divisors.
Main Activity:
Introduce 5-5, example problems 5-5, practice problems 5-5, Quick check 5-5, Practice 5-5 and Reteaching 5-5 or Enrichment 5-5.
Evaluation:
Enrichment 5-5.
Vocabulary:
Homework:
None
Materials / Resources (including technology)
Envisions Math book
5-3 to 5-5 worksheets
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know the strategy for finding one-digit quotients when the divisor is a two digit number.
Students will know the strategy for dividing a three digit number by a two digit number to find a two digit quotient.
Students will know the strategy for solving division problems of 4 to 5 digit numbers by two digit divisors by using an estimate or by using a calculator where exact answers are needed.
Students will know how to determine the difference between useful information, missing information, and extra information.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to find one-digit quotients when the divisor is a two digit number.
Students will be able to divide a three digit number by a two digit number to find a two digit quotient.
Students will be able to solve division problems of 4 to 5 digit numbers by two digit divisors by using an estimate or by using a calculator where exact answers are needed.
Students will be able to determine the difference between useful information, missing information, and extra information.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know the strategy for finding one-digit quotients when the divisor is a two-digit number.
Language Objective:
Students will be able to find one-digit quotients when the divisor is a two-digit number.
Main Activity:
Review of lesson 5-5, practice problems, review problems.
Evaluation:
Review problems.
Vocabulary:
5-5 review
Homework:
Learning Objective:
Students will know the strategy for dividing a three-digit number by a two-digit number to find a two-digit quotient.
Language Objective:
Students will be able to divide a three-digit number by a two-digit number to find a two-digit quotient.
Main Activity:
Introduce lesson 5-6, example problems, practice problems, quick check 5-6.
Evaluation:
quick check 5-6.
Vocabulary:
Homework:
Practice 5-6 and reteaching 5-6 or enrichment 5-6.
Learning Objective:
Students will know the strategy for solving division problems of 4 to 5 digit numbers by two digit divisors by using an estimate or by using a calculator where exact answers are needed.
Language Objective:
Students will be able to solve division problems of 4 to 5 digit numbers by two digit divisors by using an estimate or by using a calculator where exact answers are needed.
Main Activity:
Introduce lesson 5-7, example problems, practice problems, enrichment 5-6.
Evaluation:
enrichment 5-6.
Vocabulary:
Homework:
Practice 5-7 and reteaching 5-7 or enrichment 5-7.
Learning Objective:
Students will know how to determine the difference between useful information, missing information, and extra information.
Language Objective:
Students will be able to determine the difference between useful information, missing information, and extra information.
Main Activity:
Introduce lesson 5-8, example problems, practice problems, quick check 5-8.
Evaluation:
quick check 5-8.
Vocabulary:
Homework:
Finish Classwork.
Learning Objective:
Students will know how to determine the difference between useful information, missing information, and extra information.
Language Objective:
Students will be able to determine the difference between useful information, missing information, and extra information.
Main Activity:
Review 5-8, Practice 5-6 and reteaching 5-6 or enrichment 5-6.
Evaluation:
enrichment 5-6.
Vocabulary:
Homework:
None
Materials / Resources (including technology)
Envisions Math Book
Practice Worksheets
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know different words that describe algebraic expressions.
Students will know how to translate word phrases into algebraic expressions.
Students will know the difference between an algebraic expression and equations.
Students will know the use of patterns to show connections and solve algebraic.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use different words to describe algebraic expressions.
Students will be able to translate word phrases into algebraic expressions.
Students will be able to state the difference between an algebraic expression and equations.
Students will be able to use patterns to show connections and solve algebraic.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will be able to use their knowledge for a review game for Topic 5.
Language Objective:
Review.
Main Activity:
Topic 5 Review Game.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
None
Learning Objective:
Students will be able to use their knowledge from Topic 5 to answer test questions.
Language Objective:
Review- test.
Main Activity:
Topic 5 Test.
Evaluation:
Test.
Vocabulary:
Homework:
None
Learning Objective:
Students will learn the vocabulary for Topic 6, and review concepts from the previous year.
Language Objective:
Students will be able to understand the vocabulary.
Main Activity:
Pg. 144 and 145, vocabulary and review questions.
Evaluation:
Review questions.
Vocabulary:
variable, algebraic expression, distributive property, order of operations.
Homework:
none
Learning Objective:
Students will know different words that describe algebraic expressions.
Language Objective:
Students will be able to use different words to describe algebraic expressions.
Main Activity:
Introduce 5-1, example problems, practice problems.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Quick check 5-1.
***SEMESTER 1 EXAMS, END OF 1ST SEMESTER***
Learning Objective:
Students will know how to translate word phrases into algebraic expressions.
Language Objective:
Students will be able to translate word phrases into algebraic expressions.
Main Activity:
Finish Practice Problems, reteaching 5-1, practice 5-1 and/or enrichment 5-1.
Evaluation:
practice 5-1.
Vocabulary:
Homework:
None
Materials / Resources (including technology)
Envisions
Practice Worksheets
State of Minnesota Standards Covered
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know the strategy for finding patterns and relationships to evaluate algebraic expressions.
Students will know the strategy to write and solve algebraic expressions using addition, subtraction, and multiplication.
Students will know the distributive property and how to apply them to expressions and equations.
Students will know the order of operations to follow when solving equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to find patterns and relationships to evaluate algebraic expressions.
Students will be able to write and solve algebraic expressions using addition, subtraction, and multiplication.
Students will be able to use the distributive property to solve equations.
Students will be able to use order of operations to solve equations.
Monday
Tuesday
Wednesday
Thursday
Friday
***START OF 2nd SEMESTER***
Learning Objective:
Students will know the strategy for finding patterns and relationships to evaluate algebraic expressions.
Language Objective:
Students will be able to find patterns and relationships to evaluate algebraic expressions.
Main Activity:
Introduce 6-2, example problems, practice problems.
Evaluation:
Practice problems.
Vocabulary:
Homework:
Reteaching 6-2, Practice 6-2, Enrichment 6-2.
Learning Objective:
Students will know the strategy to write and solve algebraic expressions using addition, subtraction, and multiplication.
Language Objective:
Students will be able to write and solve algebraic expressions using addition, subtraction, and multiplication.
Main Activity:
Introduce 6-3, example problems, practice problems.
Evaluation:
Practice problems.
Vocabulary:
Homework:
Reteaching 6-3, Practice 6-3, Enrichment 6-3.
Learning Objective:
Students will know the distributive property and how to apply them to expressions and equations.
Language Objective:
Students will be able to use the distributive property to solve equations.
Main Activity:
Introduce 6-4, Practice Problems 6-4.
Evaluation:
practice problems 6-4.
Vocabulary:
Homework:
Finish Classwork.
Learning Objective:
Students will know the distributive property and how to apply them to expressions and equations.
Language Objective:
Students will be able to use the distributive property to solve equations.
Main Activity:
Reteaching 6-4, Enrichment 6-4.
Evaluation:
Enrichment 6-4.
Vocabulary:
Homework:
Enrichment 6-4.
Learning Objective:
Students will know the order of operations to follow when solving equations
Language Objective:
Students will be able to use order of operations to solve equations.
Main Activity:
Practice 6-4, Introduce 6-5 Order of operations.
Evaluation:
Practice problems.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math book
Envisions worksheets
State of Minnesota Standards Covered
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
5.1.1.4 Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multidigit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know the order of operations to follow when solving equations.
Students will know how to use information in problems to solve them.
Students will know the strategy for solving a problem by acting them out.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use order of operations to solve equations.
Students will be able to use information in a problem to solve them.
Students will be able to use the strategy of acting out to solve the problem.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know the order of operations to follow when solving equations.
Language Objective:
Students will be able to use order of operations to solve equations.
Main Activity:
Review Order of Operations, Example problems, Practice problems 6-5, quick check 6-5.
Evaluation:
quick check 6-5.
Vocabulary:
Homework:
enrichment 6-5 or reteaching 6-5, and practice 6-5.
Learning Objective:
Students will know how to use information in problems to solve them.
Language Objective:
Students will be able to use information in a problem to solve them.
Main Activity:
Introduce 6-6 Example problems, Practice problem, quick check 6-6.
Evaluation:
quick check 6-6.
Vocabulary:
Homework:
Study for quiz, enrichment 6-6 or reteaching 6-6, and practice 6-6.
Learning Objective:
Students will know the strategy for solving a problem by acting them out.
Language Objective:
Students will be able to use the strategy of acting out to solve the problem.
Main Activity:
6-1 to 6-3 quiz, review Topics 6-1 to 6-6.
Evaluation:
Quiz
Vocabulary:
Homework:
Study for quiz 6-4 to 6-6, Reteaching.
Learning Objective:
Students will be able to use their information to answer review questions.
Language Objective:
Review
Main Activity:
Review game.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Study for test
Learning Objective:
Students will be able to use their knowledge from the Topic to answer test
Language Objective:
Review- test.
Main Activity:
Topic 6 Test.
Evaluation:
Test
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math book
Envisions Worksheets
State of Minnesota Standards Covered
5.2.2.1 Apply the commutative, associative and distributive properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole numbers.
5.2.3.1 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.
5.2.3.2 Represent real-world situations using equations and inequalities involving variables. Create real-world situations corresponding to equations and inequalities.
5.2.3.3 Evaluate expressions and solve equations involving variables when values for the variables are given.
Weekly Informational Knowledge Overview - (Students will know...)
6-2: students will know how to use different patterns to solve algebraic expressions.
6-4: Students will know the distributive property and be able to solve problems using it.
6-4: Students will know the Oder of operations and be able to evaluate problems using it.
Weekly Procedural Knowledge Overview - (Students will be able to...)
6-1: Students will be able to translate words into algebraic expressions and translate algebraic expressions into words.
6-3: Students will be able to write and solve expressions that involve addition, subtraction and multiplication.
6-6: Students will be able to solve problems using the information given.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
students will review topic 6 to practice for the test.
Language Objective:
Review
Main Activity:
topic 6 review games.
Evaluation:
teacher watches and monitors.
Vocabulary:
Homework:
study for the test.
Learning Objective:
students will review topic 6 to practice for the test.
Language Objective:
Review
Main Activity:
topic 6 test.
Evaluation:
Test
Vocabulary:
Homework:
none
Learning Objective:
Language Objective:
Main Activity:
field trip
Evaluation:
Vocabulary:
Homework:
***NO CLASS, CHINESE NEW YEAR***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
***NO CLASS, CHINESE NEW YEAR***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Envision Math
State of Minnesota Standards Covered
5.2.2.1 Apply the commutative, associative and distributive properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole numbers.
5.2.3.1 Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.
5.2.3.2 Represent real-world situations using equations and inequalities involving variables. Create real-world situations corresponding to equations and inequalities.
5.2.3.3 Evaluate expressions and solve equations involving variables when values for the variables are given.
Weekly Informational Knowledge Overview - (Students will know...)
Students will know how to activate their prior knowledge to review multiplication facts.
Students will know how to activate their prior knowledge to review division.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Students will be able to use their knowledge to review skills from previous topics.
Students will be able to recall previous vocabulary words.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will review vocabulary words and review practice problems.
Language Objective:
Students will review vocabulary words and review practice problems.
Main Activity:
pg. 168 and 169, review vocabulary words, answer problems 1-12,
Evaluation:
Vocabulary
Vocabulary:
factors, products
Homework:
none
Learning Objective:
Students will know how to activate their prior knowledge to review multiplication facts.
Language Objective:
students will be able to recall multiplication facts.
Main Activity:
multiplication fact review, playing around the world.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
none
***NO CLASS, EDSA REVOLUTION ANNIVERSARY***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Learning Objective:
Students will know how to activate their prior knowledge to review multiplication facts.
Language Objective:
Students will be able to recall division facts and practicing solving one digit by three digit numbers.
Main Activity:
division review.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
***SPAS SPORTS DAY***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Envision Math
State of Minnesota Standards Covered
5.1.1.1 Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.
5.1.1.2 Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.
5.1.1.3 Estimate solutions to arithmetic problems in order to assess the reasonableness of results.
Weekly Informational Knowledge Overview - (Students will know...)
7-1: Students will know the strategy to multiply decimals by 10, 100 and 1000.
7-3: Students will know how to estimate numbers using rounding and compatible numbers.
7-2, 7-4: Students will know how to multiply using a standard algorithm.
7-5: Students will know the strategy for dividing decimals by 10, 100, and 1000.
Weekly Procedural Knowledge Overview - (Students will be able to...)
7-1: Students will be able to multiply decimals by 10, 100, and 1000.
7-2: Students will be able to multiply decimals by a whole number using the standard algorithm.
7-3: Students will be able to round decimals to estimate a product.
7-4: Students will be able to multiply two decimals using the standard algorithm.
7-5: Students will be able to divide decimals by 10, 100, and 1000.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know the strategy to multiply decimals by 10, 100 and 1000.
Language Objective:
Students will be able to multiply decimals by 10, 100, and 1000.
Main Activity:
Introduce 7-1 skill, examples, practice problems, Quick Check 7-1.
Evaluation:
Quick Check 7-1.
Vocabulary:
Homework:
Practice 7-1 and Reteaching 7-1 or Enrichment 7-1.
Learning Objective:
Students will know how to multiply using a standard algorithm.
Language Objective:
Students will be able to multiply decimals by a whole number using the standard algorithm.
Main Activity:
Introduce 7-2 skill, examples, practice problems, Quick Check 7-2.
Evaluation:
Quick Check 7-2.
Vocabulary:
Homework:
Practice 7-2 and Reteaching 7-2 or Enrichment 7-2.
Learning Objective:
Students will know how to estimate numbers using rounding and compatible numbers.
Language Objective:
Students will be able to round decimals to estimate a product.
Main Activity:
Introduce 7-3 skill, examples, practice problems, Quick Check 7-3.
Evaluation:
Quick Check 7-3.
Vocabulary:
Homework:
Practice 7-3 and Reteaching 7-3 or Enrichment 7-3.
Learning Objective:
Students will know how to multiply using a standard algorithm.
Language Objective:
Students will be able to multiply two decimals using the standard algorithm.
Main Activity:
Introduce 7-4 skill, examples, practice problems, Quick Check 7-4.
Evaluation:
Quick Check 7-4.
Vocabulary:
Homework:
Practice 7-4 and Reteaching 7-4 or Enrichment 7-4.
Learning Objective:
Students will be able to divide decimals by 10, 100, and 1000.
Language Objective:
Students will be able to divide decimals by 10, 100, and 1000.
Main Activity:
Introduce 7-5 skill, examples, practice problems, Quick Check 7-5.
Evaluation:
Quick Check 7-5.
Vocabulary:
Homework:
Practice 7-5 and Reteaching 7-5 or Enrichment 7-5.
Materials / Resources (including technology)
Envision Math
State of Minnesota Standards Covered
5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results.
5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.
Weekly Informational Knowledge Overview - (Students will know...)
7-6, 7-8: Students will know how to divide using the standard algorithm.
7-6: Students will know how to estimate using compatible numbers and rounding.
7-9: Students will know the strategy to solve multiple-step problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
7-6: Students will be able to divide a decimal by a whole number using the standard algorithm.
7-7: Students will be able to estimate quotients.
7-8: Students will be able to divide a decimal by a decimal using the standard algorithm.
7-9: Students will be able to solve word problems that have more then one step.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know how to divide using the standard algorithm.
Language Objective:
Students will be able to divide a decimal by a whole number using the standard algorithm.
Main Activity:
Introduce 7-6 skill, examples, practice problems, Quick Check 7-6.
Evaluation:
Quick Check 7-6.
Vocabulary:
Homework:
Practice 7-6 and Reteaching 7-6 or Enrichment 7-6.
Learning Objective:
Students will know how to estimate using compatible numbers and rounding.
Language Objective:
Students will be able to estimate quotients.
Main Activity:
Introduce 7-7 skill, examples, practice problems, Quick Check 7-7.
Evaluation:
Quick Check 7-7.
Vocabulary:
Homework:
Practice 7-7 and Reteaching 7-7 or Enrichment 7-7.
Learning Objective:
Students will know how to divide using the standard algorithm.
Language Objective:
Students will be able to divide a decimal by a decimal using the standard algorithm.
Main Activity:
Introduce 7-8 skill, examples, practice problems, Quick Check 7-8.
Evaluation:
Quick Check 7-8.
Vocabulary:
Homework:
Practice 7-8 and Reteaching 7-8 or Enrichment 7-8.
Learning Objective:
Students will know the strategy to solve multiple-step problems.
Language Objective:
Students will be able to solve word problems that have more then one step.
Main Activity:
Introduce 7-9 skill, examples, practice problems, Quick Check 7-9.
Evaluation:
Quick Check 7-9.
Vocabulary:
Homework:
Practice 7-9 and Reteaching 7-9 or Enrichment 7-9.
Learning Objective:
Review
Language Objective:
Review
Main Activity:
Review Game.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math book
State of Minnesota Standards Covered
5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results.
5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.
Weekly Informational Knowledge Overview - (Students will know...)
8-1: Students will know and understand the different geometric terms to tell about the location or parts of space.
8-2: Students will know the different types of angles.
8-3: Students will know the different polygons.
Weekly Procedural Knowledge Overview - (Students will be able to...)
8-1: Students will be able to identify and name different lines, planes, line segments, points, parallel lines, intersecting lines, and perpendicular lines.
8-2: Students will be able to measure angles correctly.
8-2: Students will be able to draw different angles.
8-2: Students will be able to classify different angles based on their characteristics.
8-3: Students will be able to identify and classify the different polygons based on their characteristics.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know skills and concepts from topic 7.
Language Objective:
Students will review skills and concepts from topic 7.
Main Activity:
Math Review Topic 7.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Learning Objective:
Students will know skills and concepts from topic 7.
Language Objective:
Students will use skills and concepts from topic 7.
Main Activity:
Topic 7 Test.
Evaluation:
Test
Vocabulary:
Homework:
Learning Objective:
Students will know and understand the different geometric terms to tell about the location or parts of space.
Language Objective:
Students will be able to identify points, lines, rays and planes.
Main Activity:
Introduce 8-1. Review Vocabulary; give example problems, practice problems.
Evaluation:
practice problems.
Vocabulary:
Homework:
WS 8-1
Learning Objective:
Students will know the different types of angles.
Language Objective:
Students will be able to draw, classify and measure different angles.
Main Activity:
Introduce 8-2 Review Vocabulary; give example problems, practice problems.
Evaluation:
Practice problems
Vocabulary:
Homework:
WS 8-2
Learning Objective:
Students will know the different polygons.
Language Objective:
Students will be able to identify and classify the different polygons based on their characteristics.
Main Activity:
Introduce 8-3. Review Vocabulary; give example problems, practice problems.
Evaluation:
Practice problems.
Vocabulary:
Homework:
WS 8-3
Materials / Resources (including technology)
Envisions Textbook
State of Minnesota Standards Covered
5.3.1.1 Describe and classify three-dimensional figures including cubes, prisms and pyramids by the number of edges, faces or vertices as well as the types of faces.
5.3.1.2 Recognize and draw a net for a three-dimensional figure.
Weekly Informational Knowledge Overview - (Students will know...)
8-4: Students will know how many degrees are in a triangle.
8-4: Students will know the different types of triangles.
8-5: Students will know how many degrees are in quadrilaterals.
8-5: Students will know the different types of quadrilaterals.
8-6: Students will know how to test generalizations of a pattern.
Weekly Procedural Knowledge Overview - (Students will be able to...)
8-4: Students will be able to identify a triangle based off their characteristics.
8-4: Students will be able to name the different types of triangles.
8-4: Students will be able to identify a missing angle of a triangle based on the angles given.
8-5: Students will be able to name the different types of quadrilaterals.
8-5: Students will be able to identify different types of quadrilaterals.
8-5: Students will be able to identify a missing angle of a quadrilaterals based on the angles given.
8-6: Students will be able to make generalizations of a pattern and test them to see if they are true.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know how many degrees are in a triangle.
Language Objective:
Students will be able to identify a triangle based off their characteristics.
Main Activity:
Introduce 8-4. Talk about the different types of triangles, give examples. Practice Problems. Quick check 8-4.
Evaluation:
Quick check 8-4.
Vocabulary:
Homework:
practice 8-4.
Learning Objective:
Language Objective:
Students will be able to name the different types of quadrilaterals. Students will be able to identify different types of quadrilaterals.
Main Activity:
Introduce 8-5. Talk about the different types of quadrilaterals, give examples. Practice Problems. Quick check 8-5.
Evaluation:
Quick check 8-5.
Vocabulary:
Homework:
practice 8-5.
Learning Objective:
Students will learn how to problem solve using generalizations and test.
Language Objective:
Students will be able to make generalizations of a pattern and test them to see if they are true.
Main Activity:
Introduce 8-6, Make and Test Generalizations. Example problems. Practice Problems.
Evaluation:
Practice Problems.
Vocabulary:
Homework:
Practice 8-6.
Learning Objective:
Students will review what they learned throughout the Topic.
Language Objective:
Review
Main Activity:
Topic 8 Review.
Evaluation:
teacher watches and monitors.
Vocabulary:
Homework:
Study for Math Test.
Learning Objective:
Students will show what they learned throughout the Topic.
Language Objective:
Students will show what they learned throughout the Topic.
Main Activity:
Topic 8 Test.
Evaluation:
Test
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math book
Math Practice Worksheets
State of Minnesota Standards Covered
5.3.1.1 Describe and classify three-dimensional figures including cubes, prisms and pyramids by the number of edges, faces or vertices as well as the types of faces.
5.3.1.2 Recognize and draw a net for a three-dimensional figure.
5.3.2.1 Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles.
5.3.2.2 Use various tools and strategies to measure the volume and surface area of objects that are shaped like rectangular prisms.
Weekly Informational Knowledge Overview - (Students will know...)
9-1: Students will know the different parts of a fraction.
9-2: Students will know how division can be related to dividing a whole into different parts.
Weekly Procedural Knowledge Overview - (Students will be able to...)
9-1: Students will be able to identify the different parts of the fraction.
9-1: Students will be able to show a fraction in a picture.
9-2: Students will be able to divide a whole into equal parts using a fraction.
9-2: Students will be able to use a number line to represent a fraction.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will learn the vocabulary words for Topic 9.
Language Objective:
Students will learn the vocabulary words for Topic 9.
Main Activity:
Introduce Topic 9, Vocabulary words. Review Fractions and Decimals from 4th grade.
Evaluation:
Vocabulary.
Vocabulary:
Homework:
Learning Objective:
Students will know the different parts of a fraction.
Language Objective:
Students will be able to identify the different parts of the fraction.
Main Activity:
Introduce 9-1. Talk about factions and the different parts of fractions. Example problems. Practice Problems. Quick Check 9-1.
Evaluation:
Quick Check 9-1.
Vocabulary:
Homework:
Practice 9-1
Learning Objective:
Students will learn about fractions and division and how they are related.
Language Objective:
Students will be able to divide a whole into equal parts using a fraction.
Main Activity:
Introduce 9-2. Talk about factions and division. Example problems. Practice Problems. Quick Check 9-2.
Evaluation:
Quick Check 9-2.
Vocabulary:
Homework:
9-2
***NO CLASS, DAY OF VALOR***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
***NO CLASS, DAY OF VALOR***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Book
Math Practice Worksheets
State of Minnesota Standards Covered
5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
5.1.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.
5.1.2.5 Round numbers to the nearest 0.1, 0.01 and 0.001.
5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations.
Weekly Informational Knowledge Overview - (Students will know...)
9-3: Students will know that fractions greater than 1 will be represented as a mixed number or improper fraction.
9-4: Students will know how to identify equivalent fractions.
9-5: Students will know how to determine which of the two fractions is greater or less in order to compare and order fractions.
9-6: Students will know how to determine common factors and the greatest common factors of numbers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
9-3: Students will be able to write fractions that are greater than one as a mixed number or an improper fraction.
9-4: Students will be able to use computational procedures to find equivalent fractions.
9-5: Students will be able to identify which fraction is greater or less in order to compare and order fractions.
9-6: Students will be able to determine the common factors and the greatest common factors of numbers.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know that fractions greater than 1 will be represented as a mixed number or improper fraction.
Language Objective:
Students will be able to write fractions that are greater than one as a mixed number or an improper fraction.
Main Activity:
Introduce 9-3 to the class. Example problems 9-3. Practice problems in book. Quick check 9-3.
Evaluation:
Quick check 9-3.
Vocabulary:
Homework:
reteaching, practice or enrichment 9-3.
Learning Objective:
Students will know how to identify equivalent fractions.
Language Objective:
Students will be able to use computational procedures to find equivalent fractions.
Main Activity:
Introduce 9-4 to the class. Example problems 9-4. Practice problems in book. Quick check 9-4.
Evaluation:
Quick check 9-4.
Vocabulary:
Homework:
reteaching, practice or enrichment 9-4.
Learning Objective:
Students will know how to determine which of the two fractions is greater or less in order to compare and order fractions.
Language Objective:
Students will be able to identify which fraction is greater or less in order to compare and order fractions.
Main Activity:
Introduce 9-5 to the class. Example problems 9-5. Practice problems in book. Quick check 9-5.
Evaluation:
Quick check 9-5.
Vocabulary:
Homework:
reteaching, practice or enrichment 9-5.
Learning Objective:
Review concepts from this week.
Language Objective:
Review
Main Activity:
9-5 Review activity, Post it note search.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Mixed numbers review.
Learning Objective:
Students will know how to determine common factors and the greatest common factors of numbers.
Language Objective:
Students will be able to determine the common factors and the greatest common factors of numbers.
Main Activity:
Introduce 9-6 to the class. Example problems 9-6. Practice problems in book. Quick check 9-6.
Evaluation:
Quick check 9-6.
Vocabulary:
Homework:
reteaching, practice or enrichment 9-6.
Materials / Resources (including technology)
Envisions Math
Post it Note activity
State of Minnesota Standards Covered
5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
5.1.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.
5.1.2.5 Round numbers to the nearest 0.1, 0.01 and 0.001.
5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations.
Weekly Informational Knowledge Overview - (Students will know...)
9-7: Students will know how to recognize a fraction in simplest form.
9-8: Students will know how fractions with tens and 100s as a denominator translate to decimals.
9-9: Students will know how fractions with a thousand as a denominator translate to decimals.
9-10: Students will know how to label a point on a number line using a fraction and a decimal.
Weekly Procedural Knowledge Overview - (Students will be able to...)
9-7: Students will be able to identify fractions that are in the simplest form and find the simplest form of a fraction.
9-8: Students will be able to represent decimals as fractions and fractions (with denominators of 100 and 10) as decimals.
9-9: Students will be able to represent decimals (thousandths) as fractions and fractions with denominators of 1000 as decimals.
9-10: Students will be able to write a fraction and a decimal for a point on a number line.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know how to recognize a fraction in simplest form.
Language Objective:
Students will be able to identify fractions that are in the simplest form and find the simplest form of a fraction.
Main Activity:
Introduce Lesson 9-7, Provide examples, practice problems from book, quick check
Evaluation:
quick check 9-7.
Vocabulary:
Homework:
reteaching, practice, enrichment 9-7.
Learning Objective:
Students will know how fractions with tens and 100s as a denominator translate to decimals.
Language Objective:
Students will be able to represent decimals as fractions and fractions (with denominators of 100 and 10) as decimals.
Main Activity:
Introduce Lesson 9-8, Provide examples, practice problems from book, quick check 9-8.
Evaluation:
quick check 9-8.
Vocabulary:
Homework:
reteaching, practice, enrichment 9-8.
Learning Objective:
Students will know how fractions with a thousand as a denominator translate to decimals.
Language Objective:
Students will be able to represent decimals (thousandths) as fractions and fractions with denominators of 1000 as decimals.
Main Activity:
Introduce Lesson 9-9, Provide examples, practice problems from book, quick check 9-9.
Evaluation:
quick check 9-9.
Vocabulary:
Homework:
reteaching, practice, enrichment 9-9.
Learning Objective:
Students will know how to label a point on a number line using a fraction and a decimal.
Language Objective:
Students will be able to write a fraction and a decimal for a point on a number line.
Main Activity:
Introduce Lesson 9-10, Provide examples, practice problems from book, quick check 9-10.
Evaluation:
quick check 9-10.
Vocabulary:
Homework:
reteaching, practice, enrichment 9-10.
Learning Objective:
Review
Language Objective:
Review
Main Activity:
9-10 number line review. activity including a large number line.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math book
Large Number Line
State of Minnesota Standards Covered
5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
5.1.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.
5.1.2.5 Round numbers to the nearest 0.1, 0.01 and 0.001.
5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations.
Weekly Informational Knowledge Overview - (Students will know...)
9-11: Students will know how to explain estimated fractional amounts of an object.
Weekly Procedural Knowledge Overview - (Students will be able to...)
9-11: Students will be able to explain how they estimated fractional amounts of an object.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know how to explain estimated fractional amounts of an object.
Language Objective:
Students will be able to to explain estimated fractional amounts of an object.
Main Activity:
Introduce Topic 9-11, Example problems, independent practice problems.
Evaluation:
practice problems.
Vocabulary:
Homework:
reteaching 9-11, practice 9-11, enrichment 9-11.
Learning Objective:
Students will be able to review what they learned in topic 9.
Language Objective:
Review
Main Activity:
Reteaching pg. 250-253. Complete set A-K, review as a class.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
review worksheet
Learning Objective:
Students will be able to review what they learned in topic 9.
Language Objective:
Review
Main Activity:
Bazinga Review Game.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
practice test pg.246-249 # 1-14.
Learning Objective:
Students will know how to explain estimated fractional amounts of an object.
Language Objective:
Students will know how to explain estimated fractional amounts of an object.
Main Activity:
Topic 9 Test
Evaluation:
Test
Vocabulary:
Homework:
***NO CLASS, LABOR DAY***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Envision Math
State of Minnesota Standards Covered
5.1.2.3 Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.
5.1.2.4 Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.
5.1.2.5 Round numbers to the nearest 0.1, 0.01 and 0.001.
5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations.
5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results.
5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.
Weekly Informational Knowledge Overview - (Students will know...)
10-1: Students will know the computational procedures to add and subtract fractions with like denominators.
10-2: Students will know how to find the common multiple of two numbers.
10-3: Students will know the computational procedures to add fractions with unlike denominators.
Weekly Procedural Knowledge Overview - (Students will be able to...)
10-1: Students will be able to use models and computational procedures to add and subtract fractions with like denominators.
10-2: Students will be able to determine common multiples of numbers.
10-3: Students will be able to use models and computational procedures to add fractions with unlike denominators.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know the computational procedures to add and subtract fractions with like denominators.
Language Objective:
Students will be able to use models and computational procedures to add and subtract fractions with like denominators.
Main Activity:
Introduce Topic 10, Introduce 10-1, Give example problems, Practice Problems, Quick check 10-1.
Evaluation:
Quick check 10-1.
Vocabulary:
Homework:
reteaching, practice, enrichment 10-1.
Learning Objective:
Students will know how to find the common multiple of two numbers.
Language Objective:
Students will be able to determine common multiples of numbers
Main Activity:
Introduce 10-2, Give example problems, Practice Problems, Quick check 10-2.
Evaluation:
Quick check 10-2.
Vocabulary:
Homework:
reteaching, practice, enrichment 10-2.
Learning Objective:
Students will know the computational procedures to add fractions with unlike denominators.
Language Objective:
Students will be able to use models and computational procedures to add fractions with unlike denominators.
Main Activity:
Introduce 10-3, Give example problems, Practice Problems, Quick check 10-3.
Evaluation:
Quick check 10-3.
Vocabulary:
Homework:
reteaching, practice, enrichment 10-3.
***NO CLASS, JOSE ABAD SANTOS DAY***
Learning Objective:
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Learning Objective:
Review
Language Objective:
Review
Main Activity:
10-3 Review
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envision Math Book
State of Minnesota Standards Covered
5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results.
5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.
Weekly Informational Knowledge Overview - (Students will know...)
10-4: Students will know the use of models and computational procedures to subtract fractions with unlike denominators.
10-5: Students will know the use of models and computational procedures to add mixed numbers.
10-6: Students will know the use of models and computational procedures to subtract mixed numbers.
10-7: Students will know the try, check, and revise strategy.
Weekly Procedural Knowledge Overview - (Students will be able to...)
10-4: Students will be able to subtraction fractions with unlike denominators.
10-5: Students will be able to add mixed numbers.
10-6: Students will be able to subtract mixed numbers.
10-7: Students will be able to use three steps- try, check, and revise- in order to solve problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know the use of models and computational procedures to subtract fractions with unlike denominators.
Language Objective:
Students will be able to subtraction fractions with unlike denominators.
Main Activity:
Introduce 10-4. Give example problems as a class. Practice problems as a class. Quick check.
Evaluation:
Quick check 10-4.
Vocabulary:
Homework:
Learning Objective:
Students will know the use of models and computational procedures to add mixed numbers.
Language Objective:
Students will be able to add mixed numbers.
Main Activity:
Introduce 10-5. Give example problems as a class. Practice problems as a class. Quick check.
Evaluation:
Quick check 10-5.
Vocabulary:
Homework:
Learning Objective:
Students will know the use of models and computational procedures to subtract mixed numbers.
Language Objective:
Students will be able to subtract mixed numbers.
Main Activity:
Introduce 10-6. Give example problems as a class. Practice problems as a class. Quick check.
Evaluation:
Quick check 10-6.
Vocabulary:
Homework:
Learning Objective:
Students will know the try, check, and revise strategy.
Language Objective:
Students will be able to use three steps- try, check, and revise- in order to solve problems.
Main Activity:
Introduce 10-7. Give example problems as a class. Practice problems as a class. Quick check.
Evaluation:
Quick check 10-7.
Vocabulary:
Homework:
Learning Objective:
Review
Language Objective:
Review
Main Activity:
Review Topic 10, Math Packet.
Evaluation:
Review packet.
Vocabulary:
Homework:
Materials / Resources (including technology)
Envisions Math Book
State of Minnesota Standards Covered
5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations.
5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results.
5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.
Weekly Informational Knowledge Overview - (Students will know...)
11-1: Students will know the process of multiplying a fraction by a whole number.
11-2: Students will know the process of multiplying two fractions.
11-3: Students will know the process of multiplying mixed numbers.
11-4: Students will know the process of dividing whole numbers by fractions.
11-5: Students will know the process of using diagrams and writing equations to solve problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
11-1: Students will be able to multiply a fraction by a whole number.
11-2: Students will be able to give the product of two fractions.
11-3: Students will be able to multiply mixed numbers.
11-4: Students will be able to divide whole numbers by fractions.
11-5: Students will be able to use diagrams and write equations to solve problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know the process of multiplying a fraction by a whole number.
Language Objective:
Students will be able to multiply a fraction by a whole number.
Main Activity:
Introduce 11-1. Present an example problem as a class. Provide practice problems from the book for independent work. Review as a class. Quick check 11-1.
Evaluation:
Quick check 11-1.
Vocabulary:
Homework:
Practice and reteaching or enrichment 11-1.
Learning Objective:
Students will know the process of multiplying two fractions.
Language Objective:
Students will be able to give the product of two fractions.
Main Activity:
Introduce 11-2. Present an example problem as a class. Provide practice problems from the book for independent work. Review as a class. Quick check 11-2.
Evaluation:
Quick check 11-2.
Vocabulary:
Homework:
Practice and reteaching or enrichment 11-2.
Learning Objective:
Students will know the process of multiplying mixed numbers.
Language Objective:
Students will be able to multiply mixed numbers.
Main Activity:
Introduce 11-3. Present an example problem as a class. Provide practice problems from the book for independent work. Review as a class. Quick check 11-3.
Evaluation:
Quick check 11-3.
Vocabulary:
Homework:
Practice and reteaching or enrichment 11-3.
Learning Objective:
Students will know the process of dividing whole numbers by fractions.
Language Objective:
Students will be able to divide whole numbers by fractions.
Main Activity:
Introduce 11-4. Present an example problem as a class. Provide practice problems from the book for independent work. Review as a class. Quick check 11-4.
Evaluation:
Quick check 11-4.
Vocabulary:
Homework:
Practice and reteaching or enrichment 11-4.
Learning Objective:
Students will know the process of using diagrams and writing equations to solve problems.
Language Objective:
Students will be able to use diagrams and write equations to solve problems.
Main Activity:
Introduce 11-5. Present an example problem as a class. Provide practice problems from the book for independent work. Review as a class. Quick check 11-5.
Evaluation:
Quick check 11-5.
Vocabulary:
Homework:
Practice and reteaching or enrichment 11-5.
Materials / Resources (including technology)
Envisions Math book
State of Minnesota Standards Covered
5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.
5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations.
5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results.
5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.
5.2.1.1 Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.
Weekly Informational Knowledge Overview - (Students will know...)
11-5: Students will know the process of using diagrams and writing equations to solve problems.
11-6: Students will know how to use models and computational procedures to subtract mixed numbers.
11-7: Students will know how to use the “try, check, and revise” strategy.
Weekly Procedural Knowledge Overview - (Students will be able to...)
11-5: Students will be able to use diagrams and write equations to solve problems.
11-6: Students will be able to subtract mixed numbers.
11-7: Students will be able to use the “three steps- try, check, and revise”- strategy to solve problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know the process of using diagrams and writing equations to solve problems.
Language Objective:
Students will be able to use diagrams and write equations to solve problems.
Main Activity:
Review as a class lesson 11-5. Reteaching 11-5, Enrichment 11-5.
Evaluation:
Enrichment 11-5.
Vocabulary:
Homework:
none
Learning Objective:
Students will know how to use models and computational procedures to subtract mixed numbers.
Language Objective:
Students will be able to subtract mixed numbers.
Main Activity:
Introduce 11-.6 Present an example problem as a class. Provide practice problems from the book for independent work. Review as a class. Quick check 11-6.
Evaluation:
Quick check 11-6.
Vocabulary:
Homework:
Practice and reteaching or enrichment 11-6.
Learning Objective:
Students will know how to use the “try, check, and revise” strategy.
Language Objective:
Students will be able to use the “three steps- try, check, and revise”- strategy to solve problems.
Main Activity:
Introduce 11-7. Present an example problem as a class. Provide practice problems from the book for independent work. Review as a class. Quick check 11-7.
Evaluation:
Quick check 11-7.
Vocabulary:
Homework:
Practice and reteaching or enrichment 11-7.
Learning Objective:
Students will review the information and strategies from topic 11.
Language Objective:
Students will review topic 11.
Main Activity:
Review game.
Evaluation:
Teacher watches and monitors.
Vocabulary:
Homework:
Study for test.
Learning Objective:
Review and test topic 11.
Language Objective:
Review.
Main Activity:
Topic 11 test.
Evaluation:
Test
Vocabulary:
Homework:
None
Materials / Resources (including technology)
Envisions Math book
State of Minnesota Standards Covered
5.1.3.1 Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms. 5.1.3.2 Model addition and subtraction of fractions and decimals using a variety of representations. 5.1.3.3 Estimate sums and differences of decimals and fractions to assess the reasonableness of results. 5.1.3.4 Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data. 5.2.1.1 Create and use rules, tables, spreadsheets and graphs to describe patterns of change and solve problems.
Weekly Informational Knowledge Overview - (Students will know...)
12-1: Students will know how to choose the most appropriate units of length and measure to the nearest inch, half-inch, quarter-inch or eight-inch.
12-2: Students will know how to choose the most appropriate metric unit of length and measure to the nearest centimeter and millimeter.
12-3: Students will know the process of finding perimeter in a polygon.
12-4: Students will know the formula for finding the area of rectangles and squares.
12-5: Students will know the formula for finding the area of parallelograms.
Weekly Procedural Knowledge Overview - (Students will be able to...)
12-1: Students will be able to choose the most appropriate units of length and measure to the nearest inch, half-inch, quarter-inch or eight-inch.
12-2: Students will be able to choose the most appropriate metric unit of length and measure to the nearest centimeter and millimeter.
12-3: Students will be able to find the perimeter of a polygon.
12-4: Students will be able to find the areas of squares and rectangles by using formulas.
12-5: Students will be able to find the areas of a parallelogram using the formula.
12-5: Students will be able to find the length of one side of a parallelogram when the area and one side is given.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
Students will know how to choose the most appropriate units of length and measure to the nearest inch, half-inch, quarter-inch or eight-inch.
Language Objective:
Students will be able to choose the most appropriate units of length and measure to the nearest inch, half-inch, quarter-inch or eight-inch.
Main Activity:
Introduce 12-1. Provide example problems for 12-1, complete as a class. Have the students complete practice problems in book. Quick Check 12-1.
Evaluation:
Quick Check 12-1.
Vocabulary:
Homework:
Practice and reteaching or enrichment 12-1.
Learning Objective:
Students will know how to choose the most appropriate metric unit of length and measure to the nearest centimeter and millimeter.
Language Objective:
Students will be able to choose the most appropriate metric unit of length and measure to the nearest centimeter and millimeter.
Main Activity:
Introduce 12-2. Provide example problems for 12-2, complete as a class. Have the students complete practice problems in book. Quick Check 12-2.
Evaluation:
Quick Check 12-2.
Vocabulary:
Homework:
Practice and reteaching or enrichment 12-2.
Learning Objective:
Students will know the process of finding perimeter in a polygon.
Language Objective:
Students will be able to find the perimeter of a polygon.
Main Activity:
Introduce 12-3. Provide example problems for 12-3, complete as a class. Have the students complete practice problems in book. Quick Check 12-3.
Evaluation:
Quick Check 12-3.
Vocabulary:
Homework:
Practice and reteaching or enrichment 12-3.
Learning Objective:
Students will know the formula for finding the area of rectangles and squares.
Language Objective:
Students will be able to find the areas of squares and rectangles by using formulas.
Main Activity:
Introduce 12-4. Provide example problems for 12-4, complete as a class. Have the students complete practice problems in book. Quick Check 12-4.
Evaluation:
Quick Check 12-4.
Vocabulary:
Homework:
Practice and reteaching or enrichment 12-4.
Learning Objective:
Students will know the formula for finding the area of parallelograms.
Language Objective:
Students will be able to find the length of one side of a parallelogram when the area and one side are given.
Main Activity:
Introduce 12-5. Provide example problems for 12-5, complete as a class. Have the students complete practice problems in book. Quick Check 12-5.
Evaluation:
Quick Check 12-5.
Vocabulary:
Homework:
Practice and reteaching or enrichment 12-5.
Materials / Resources (including technology)
Envisions Math book
State of Minnesota Standards Covered
5.3.2.1 Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles.
5.3.2.2 Use various tools and strategies to measure the volume and surface area of objects that are shaped like rectangular prisms.
5.3.2.3 Understand that the volume of a three-dimensional figure can be found by counting the total number of same-sized cubic units that fill a shape without gaps or overlaps. Use cubic units to label volume measurements.