# Algebra I

Curriculum > High > Clark > Mathematics
• Syllabus
• Sample Lesson Plan
Course Description
of linear and quadratic functions and graphing on the xy‐coordinate system. By the end of this course, students will have all the knowledge necessary to solve and graph equations and inequalities. They will also be able to apply this knowledge to other areas of math, such as word problems, ratios and proportions.
The course starts off with a quick review of ba sic algebraic concepts, such as variables, order of operations, exponents and problem solving skills. They will gain a thorough introduction to functions, the basis of all of algebra and higher mathematics, such as calculus. Students will learn how to solve linear equations, including multistep equations, equations with multiple variables and equations involving decimals, as well as write a linear equation based on the graph of a line. The Algebra 1 course also gives the students a thorough introduction of functions and quadratic equations. They will learn all the operations associated with the two, such as factoring and graphing. The end of the course takes the students’ knowledge of algebra 1 one step further by introducing them to some basic concepts of geometry.
Course Standard
Students will:
1. Understand basic function concepts – functions as relations, operations with functions and composition of functions.
2. Understand the concepts of function transformations and their relationships to the graphical representation of functions, reinforcing the idea of mathematics as a descriptive language rather than mere symbol manipulation.
3. Solve quadratic equations and inequalities by appropriate means including factoring, graphing, and the quadratic formula and completing the square.
4. Solve systems of linear equations and inequalities in two variables.
5. Know the characteristics of a normal distribution (68 – 95 – 99 rule) and use these characteristics to estimate population percentages.
6. Select and apply appropriate counting procedures to determine the size of a sample space and to calculate probabilities.
7. Solve problems by distinguishing relevant from irrelevant information and determining whether or not relevant information is missing from a problem, thus reinforcing critical thinking skills.
8. Explore the graphical representations of functions through the use of a calculator – determine the meaning of “intersection”, “root”, “grater than”, or“less than” in terms of a graphical representation, demonstrating that mathematics is a language descriptive of aspects of the real world.
9. Use a graphing calculator to generate z‐scores to explore the characteristics of a normal distribution.
10. Use exponential and logarithmic functions to solve mathematical and real‐world problems. The solution of real world problems by mathematics demonstrates the relation between mathematics and other disciplines.
Textbook and Supplies
Course Outline
First Quarter
• Week 1: Introduction to Algebra 1, and the Real number system.
• Week 2‐3: Translating verbal to mathematical phrase/statement, properties of equality and solving equations involving properties of equality.
• Week 4: Ratio and proportions with problem solving.
• Week 5 – 6: Solving Inequalities and graphs of inequalities.
• Week 7 – 8: Laws of exponents.
• Week 9: Review and Midterm Exams.
Second Quarter
• Week 10: Definition and operations on polynomials.
• Week 11: Multiplying monomials and binomials using distributive property the FOIL Method.
• Week 12 – 13: Factoring – GCF, sum and difference of two terms.
• Week 13 – 14: Square of binomial and general trinomial.
• Week 15: Factoring x2 + bx + c and ax2 + bx + c.
• Week 16: Factoring by Grouping and general strategy.
• Week 17: Solving Equations by Factoring.
• Week 18: Review and Final exams.
• Third Quarter
• Week 1: Graphs and Linear Equations – graphing ordered pairs and equations.
• Week 2: Linear equation and their graphs and Slope.
• Week 3: Equations and slope, finding an equation of a line.
• Week 4: Parallel and perpendicular lines.
• Week 5: Systems of equations – Solving systems of equations by graphing, and Substitution Method.
• Week 6: Solving systems of equations by elimination and comparison.
• Week 7 – 8: Word problems involving systems of equation: Number, coin, age and digit problems.
• Week 9: Review and Midterm exams.
• Fourth Quarter
• Week 10: Inequalities and Absolute Values – Sets, intersections and unions.
• Week 11: Definition of rational expression and simplifying rational expressions.
• Week 12: Operations on rational expressions – Multiplication and division.
• Week 13: Addition and subtraction of rational expressions.
• Week 14: Solving rational equations, complex rational expressions.
• Week 15: Radical expressions and Equations – Square root of a number and simplifying radical expressions.
• Week 16 – 17: Operations on radical expressions.
• Week 18: Review and Final Exams.
• Evaluation
• Homework Quiz – usually graded on a four point scale.
• By Inspection During Class – Teacher will ask to see the work.
• When Handed In – some homework assignments are to be turned in for grading.
• Late work is discounted 10% first class period, 25% the next class period, and receives a zero if later than two class periods
• A blank notebook receives an F for the homework and participation portions of the class.
• Tests are 100 points each (sometimes extra credit is given on the test, so a score over 100 is possible).
• Partial credit is given, wherever possible, for correct work, you must SHOW YOUR WORK to receive partial credit.
• An incorrect answer with no work shown is fully discounted.
Course Requirement
• Be prepared for class with pencil, notebook, and book.
• Be on task at the appropriate times.
• Work with others in an appropriate manner.
• Your contribution to class discussions is expected and appreciated.
‐ Notebook
You need a notebook that is dedicated to math. DO NOT PURCHASE A ‘FIVE SUBJECT’ NOTEBOOK. You will be handing in the notebook occasionally for the teacher to check homework, so it will not be available to you Notebooks should be handed in during every test. The teacher is looking for:
1. Organization
2. Homework (not just the answers but the WORK)
The notebook is graded on a 5 point scale.
5 points: organized, all sections clearly delineated, all homework attempted.
0 points: no work or notebook missing on the day requested or obviously copied.
‐ Homework
Like any new language, you have to practice math or you will not learn it. You can expect a homework assignment every day. Take notes, participate in class, the homework will be a breeze.
Homework is your chance to test out, solidify, or ‘come to grip[s’ with what we’ve talked about in class that day. It is graded when the teacher assess your notebook and in homework quizzes.
2. Write each separate assignment on a new sheet in your notebook.
3. MAKE HOMEWORK CORRECTIONS. Write them next to the original work, in the margin, wherever. Try to underline your mistakes, so when you review for a test, you’ll know what kind of thinking to avoid.
4. You will generally have between 10 – 30 problems (or more) for homework.
‐ Homework quizzes
You will have many homework quizzes. This test is closed book. You will be expected to use your notebook. Problems are identified by page number, section number, and problem number. Copy the work from your notebook onto the quiz sheet. Occasionally there will be free response questions on these quizzes as well. On these quizzes, just writing down the answer (unless appropriate) is insufficient and will be counted as an incorrect response.
‐ Tests
1. Occur every two to three weeks.
2. Test will cover ANY MATERIAL WE HAVE DISCUSSE#D IN CLASS. Don’t just assume the test will only cover the ‘new’ material. Anything we’ve had thus far is fair game to be included. Unless otherwise indicated, tests are closed book.
4. Always round to two decimal places.(9.21; NOT 9.2)
5. Always show your work – if the answer is wrong you may still receive partial credit for the correct procedure.
6. No work shown usually results in a poorer grade
7. YOU MAY USE ELECTRONIC TRANSLATORS FOR A TEST. IF YOU HAVE TROUBLE WITH VOCABULARY ASK THE TEACHER FOR HELP
8. CHEATING ON A TEST (OR HOMEWORK) RESULTS IN A GRADE OF ZERO FOR THAT ASSIGNMENT FOR BOTH PARTIES.
‐ Calculators
1. You are expected to have a calculator. A TI‐83+ (or better) graphing calculator is used throughout the course. You should at the least have a scientific calculator to use on homework.
2. School calculators do not leave the classroom. UNLESS THEY ARE ASSIGNED OR RENTED TO YOU
3. If assigned, they are to be returned the NEXT DAY.
4. If the calculator is lost or broken while in your possession, you are responsible for replacing the calculator (cost \$100).
5. If you need a calculator for the year, see the office staff to arrange a possible rental.
Weekly Informational Knowledge Overview - (Students will know...)
important vocabulary for expressing math terms verbally in English.
Order of operations
Weekly Procedural Knowledge Overview - (Students will be able to...)
process equations using the order of operations
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson:
Today is the introduction to the course. Distribute syllabus, calculators, textbooks. Discuss at length the syllabus of the class and the class expectations.
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
Continue discussion of the syllabus. Discuss overview of the course. What is Algebra? Do section 1‐1 in the textbook. Students need to understand the way of expressing things verbally in the class.
Evaluation:
Vocabulary:
Algebra, algebraic expression, variable, term, factor, product, power, exponent, base.
Homework:
Sect. 1‐1, #1‐55 ODDS
Main Activity/Lesson:
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
Discuss the previous night’s homework, especially the difficult questions therein.
Evaluation:
Small quiz of the vocabulary. Begin Ch 1‐2, which is about the order of operations. Emphasize PEMDAS.
Vocabulary:
evaluate, order of operations
Homework:
Sect. 1‐2 #1‐55 ODDS, study for Quiz on Sections 1‐2 and 1‐3.
Main Activity/Lesson:
tudy and discuss lesson 1‐3, which is about the properties of numbers. Do all the examples in the textbook.
Evaluation:
QUIZ today on Sections 1‐1 and 1‐2.
Vocabulary:
Reflexive Property, symmetric property, transitive property, substitution property.
Homework:
Do section 1‐3 #1‐55 ODDS
Materials / Resources (including technology)
Usage of the textbook.
Weekly Informational Knowledge Overview - (Students will know...)
the properties of numbers applied for each step in solving equations;
what a relation is;
that each domain of a function is unique in any set;
Weekly Procedural Knowledge Overview - (Students will be able to...)
to graph functions;
use vertical line test to determine a function;
recall the parts of coordinate system.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson:
EQUATIONS – solving equations in one variable with applications of different properties of numbers.
Evaluation:
First 6, seatwork ‐ #s 1 – 18, p. 36
Vocabulary:
solution, equation, element, solution set, replacement set
Homework:
#s 19 – 32, p. 36
Main Activity/Lesson:
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
RELATIONS and the Coordinate System
Evaluation:
First 6, seatwork ‐ #s 1 – 8, p. 43
Vocabulary:
relation, dependent and independent variable, domain, range
Homework:
#s 9 – 14, p. 43
Main Activity/Lesson:
Functions and Graphs of functions
Evaluation:
seatwork ‐ #s 1 – 9, p. 51
Vocabulary:
discrete an continuous functions
Homework:
Main Activity/Lesson:
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
how to interpret graphs of functions;
the meaning of different terms in understanding graphs of function;
the importance of interpreting graphs of functions.
Weekly Procedural Knowledge Overview - (Students will be able to...)
interpret graphs of functions;
identify the maximum and minimum points of graphs of functions;
describe the end behavior of each graph of function;
solve absolute value equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson:
Interpreting Graphs of Functions
Evaluation:
Vocabulary:
Maximum, minimum, extrema, end behavior
Homework:
Guided Practice 3
Main Activity/Lesson:
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
Interpreting the Graphs of Function – DAY 2.
Evaluation:
Seatwork ‐ #s 4‐9, p. 59
Vocabulary:
Homework:
# 10, p. 60
Main Activity/Lesson:
olving Equations Involving Absolute Value
Evaluation:
First 6
Vocabulary:
absolute value
Homework:
Main Activity/Lesson:
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Weekly Informational Knowledge Overview - (Students will know...)
the definition of ratio and proportion;
how to deal with rate and prices;
the real world application of the lessons.
Weekly Procedural Knowledge Overview - (Students will be able to...)
solve proportion;
find the percent of a given;
find the discounted price of a given item;
state whether the percent of change is increase or decrease.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson:
The teacher explains each answer in the previous quiz (Remedial)
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
RATIO AND PROPORTION
Evaluation:
Seatwork ‐ #s 1‐14, p. 114‐115
Vocabulary:
Ratio, proportion, means, extremes
Homework:
Main Activity/Lesson:
Percent of Change
Evaluation:
seatwork ‐ #s 14‐38, p. 122
Vocabulary:
percent
Homework:
Main Activity/Lesson:
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
how to apply percent of change in real world problems;
the standard form of linear equations;
the different forms of linear equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
graph linear equations
find the x and y‐intercepts of linear equations;
identify the values of A, B and C of standard form of linear equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson:
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
Problems involving percent of change
Evaluation:
Vocabulary:
Homework:
Problem solving #s 36‐42, p. 122
Main Activity/Lesson:
Graphing Linear Equations and Standard form of Linear Equations
Evaluation:
#s 1‐11, p. 159
Vocabulary:
Homework:
Main Activity/Lesson:
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
…how to write the standard form of linear equations;
…that the graph of any linear equation is a straight line;
…how to graph linear equations using its x and y‐intercept.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…write the linear equation to its standard form;
…graph linear equations using x and yintercepts;
…solve linear equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson:
Graphing Linear Equations
Definition of Linear equation
Parts of Linear Equations
Evaluation:
Writing the standard form of Linear Equations
Vocabulary:
Linear Equation, intercept, constant
Homework:
Main Activity/Lesson:
No class
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson:
Graphing Linear Equations using its x and y‐intercepts
Evaluation:
Seatwork – answer #s 1‐11, p. 159
Vocabulary:
Homework:
Main Activity/Lesson:
Solving Linear Equations by Graphing
Evaluation:
Seatwork from the workbook
Vocabulary:
Homework:
Main Activity/Lesson:
SCHOOL TRIP
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Weekly Informational Knowledge Overview - (Students will know...)
…how to determine whether a function is linear or not;
…the formula of slope;
…what a slope is.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…find the slope of a line;
…determine a linear function;
…calculate the rate of change of functions;
…apply this lesson to solve real‐world problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Learning Objective:
No class
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Learning Objective:
No class
Language Objective:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Main Activity:
Solving Linear Equations by graphing
Evaluation:
Seatwork
Vocabulary:
Parent function, root, zeros
Homework:
Main Activity:
Rate of Change and Slope
Rate of change =
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the slope‐intercept form of a line;
…how to graph an equation using the slope and y‐intercept of a line;
…the slope and y‐intercept of an equation.
Weekly Procedural Knowledge Overview - (Students will be able to...)
...graph linear equations using the slope and the y‐intercept of a line;
…write equations to slope‐intercept form;
…find enjoyment in graphing linear equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Graphing Equations in Slope‐Intercept form (y = mx + b)
Evaluation:
Seatwork,
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Slope‐Intercept Form of a Line (Day 2)
Evaluation:
Seatwork/Group work
Vocabulary:
Homework:
Main Activity:
Writing Equations in Slope‐Intercept form
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
Please see Lesson Plan dated October 21‐25
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…lessons covered in the midterm exams.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
***REVIEW FOR MIDTERM***
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
***MIDTERM EXAMINATION***
Main Activity:
Evaluation:
Vocabulary:
Homework:
***PREPARATION FOR NUMBO GAME***
Main Activity:
Evaluation:
Vocabulary:
Homework:
***NUMBO GAME***
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to write linear equation in point‐slope form;
…the process of writing linear equation to point‐slope form.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…write linear equation to point‐slope form;
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Writing Linear Equation to
POINT‐SLOPE FORM y‐y1 = m(x‐x1)
Evaluation:
DRILL, Seatwork
Vocabulary:
Homework:
Main Activity:
Evaluation:
Seatwork
Vocabulary:
Homework:
Main Activity:
Writing Linear Equation
POINT‐SLOPE FORM (Day 2)
(…continuation)
Evaluation:
Seatwork
Vocabulary:
Homework:
Main Activity:
TWO‐POINT FORM of Linear Equation
Evaluation:
Seatwork, First 6 activity
Vocabulary:
Homework:
Main Activity:
SCHOOL TRIP to Manila
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how the slopes of perpendicular and parallel lines differ from one another;
…how to find the inverse of one linear function;
…how to determine whether a graph is graph of inverse function.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to graph perpendicular and parallel lines;
…to differentiate the slopes of two perpendicular and two parallel lines;
…to find the inverse of a linear function;
…to graph inverse function.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Continuation of PARALLEL LINES and PERPECDICULAR LINES.
Evaluation:
Seatwork
Vocabulary:
negative reciprocal
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
INVERSE LINEAR FUNCTION
Evaluation:
First 6, seatwork, drill
Vocabulary:
inverse, domain, range
Homework:
Main Activity:
Graph of Inverse Linear Function
Evaluation:
Graphing Linear Function
Vocabulary:
Homework:
Main Activity:
QUIZ #1
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the graph of systems of linear equations and their types;
…how to solve systems of linear equations by graphing and substitution;
...how to find the solutions of systems of linear equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…find the solutions of systems of linear equations;
…follow the steps in solving systems of linear equations by substitution;
…graph systems of linear equations.
…classify systems of linear equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
SYSTEMS OF LINEAR EQUATIONS
Definition and their graphs
DISCUSSION
The value of x in equations 1 is equal to the value of x in
equation 2. The same thing goes to the values of y.
Evaluation:
Vocabulary:
Homework:
Study the first method ‐ SUBSTITUTION
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Solving systems of linear equations by SUBSTITUTION
Evaluation:
Seatwork
Vocabulary:
Isolate
Homework:
Exercises from the book
Main Activity:
Solving systems of linear equations by GRAPHING
Evaluation:
Drills, Seatwork
Vocabulary:
Homework:
Review for the quiz
Main Activity:
QUIZ # 2
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…Solve system of linear equation by substitution and eliminations;
Weekly Procedural Knowledge Overview - (Students will be able to...)
…solve system of linear equation by substitution and eliminbations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Solving System of Linear Equations
By SUBSTITUTION
Day 2
Evaluation:
Seatwork, drills
Vocabulary:
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Solving Systems of Linear Equations
By ELIMINATION
(Multiplication and Division)
Evaluation:
Seatwork
Vocabulary:
coefficient
Homework:
Main Activity:
Elimination – DAY 2
Evaluation:
Vocabulary:
Homework:
Review for the quiz
Main Activity:
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to apply systems of linear equations in solving problems like number problems and age problems;
…how to translate verbal statement to mathematical statements.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…translate verbal statements to mathematical statements;
…use the most suitable method to solve systems of linear equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Solving problems involving system of linear equation. NUMBER PROBLEM
Evaluation:
Drill
Vocabulary:
consecutive, even and odd number
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
WORD PROBLEMS – Number Problem And Age Problems
Evaluation:
Seatwork, Drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
More examples and exercises about age problems (Systems of linear equation)
Evaluation:
seatwork
Vocabulary:
Homework:
Review for the quiz
Main Activity:
QUIZ # 4
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the different laws of exponents;
…how to apply the laws of exponents in simplifying monomials;
…determine the correct law to be used in simplifying monomials.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…simplify monomials by following the different laws of exponents;
…differentiate each law of exponents.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Multiplication Properties of Exponents
Product of Powers
Power of a Power
Evaluation:
Exercises, Seatwork
Vocabulary:
Monomial, exponent, base, constant
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Continuation of Monday’s lesson and
discussion of new lesson – Power of a Product,
Quotient of Powers and
Power of Quotient
Evaluation:
Seatwork and Drill
Vocabulary:
Homework:
Main Activity:
NUMBO – Christmas Edition
Evaluation:
Seatwork, First 6
Vocabulary:
Quotient,
Homework:
Main Activity:
MERRY CHRISTMAS and HAPPY NEW YEAR!!!
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the different laws of exponents;
…how to apply the laws of exponents in
simplifying monomials;
…determine the correct law to be used in
simplifying monomials.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…simplify monomials by following the different laws of exponents;
…differentiate each law of exponents.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Multiplication Properties of Exponents
Product of Powers
Power of a Power
Evaluation:
Exercises, Seatwork
Vocabulary:
Monomial, exponent, base, constant
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Continuation of Monday’s lesson and
discussion of new lesson – Power of a Product,
Quotient of Powers and
Power of Quotient
Evaluation:
Seatwork and Drill
Vocabulary:
Homework:
Main Activity:
Exercises – The First 3 Laws of Exponent
Evaluation:
Seatwork, First 6
Vocabulary:
Quotient,
Homework:
Main Activity:
QUIZ # 5
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to divide two or more monomials;
…how to express negative exponent and zero exponent.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…express negative exponent as positive;
...show that monomials with zero exponent are each equal to 1.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
(continuation) Law of Exponents
QUOTIENT OF POWERS
Evaluation:
drill, exercises
Vocabulary:
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
NEGATIVE EXPONENT LAW

ZERO EXPONENT LAW
Evaluation:
Seatwork, group work
Vocabulary:
Homework:
exercises from the book
Main Activity:
POWER OF QUOTIENT
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ # 6
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the students shall be able to recall all the lessons covered by the final examinations;
…the students shall be able to apply the laws of exponents;
…the students shall be able to pass the final exams.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…explain the remaining laws of exponents, negative exponent and zero exponent laws;
…after giving some illustrative examples, call some students to apply the laws.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
LAWS OF EXPONENT – Negative
Exponent Law and Zero Exponent Law
Evaluation:
Drill and seatwork
Vocabulary:
Homework:
Review for the Final Exams
Main Activity:
MONDAY SCHEDULE – Review for the Final Exams
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAMINATION – FIRST DAY
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAMINATION – SECOND DAY
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAMINATION – THIRD DAY
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to rewrite exponential form to radical form and vice versa;
…introduction to simplifying rational exponents.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…introduction to simplifying rational exponents with some illustrative examples;
…rewriting radical form to exponential form and vice versa.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
RATIONAL EXPONENTS – Simplifying And Rewriting radical form to exponential form and vice versa
Evaluation:
Drills, seatwork, first 6
Vocabulary:
exponent. Base and index
Homework:
worksheet
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ # 1
Evaluation:
Vocabulary:
Homework:
Main Activity:
SCIENTIFIC NOTATION – Rewriting Scientific notation to expanded form and vice versa
Evaluation:
seatwork, drills
Vocabulary:
scientific notation
Homework:
exercises from the book
Main Activity:
OPERATIONS ON SCIENTIFIC NOTATION
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the students shall be able to write exponential form to radical form of expressions, and vice versa;
…the students shall be able to express huge number and/or small number to scientific notation.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…definition of scientific notation and giving some illustrative examples to students;
…rewriting scientific notation to standard form and vice versa;
…performing operations on scientific notation.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
…continuation – Simplifying Rational Exponents and some exercises
***Discussion and exercises***
Evaluation:
Seatwork
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Introduction to SCIENTIFIC NOTATION
Rewriting Scientific Notation to
Standard Form
Evaluation:
Drill, seatwork
Vocabulary:
scientific notation
Homework:
exercises from the book
Main Activity:
Operations on Scientific Notation
MULTIPLICATION and DIVISION
Evaluation:
first 7 and seatwork
Vocabulary:
Homework:
Main Activity:
…continuation Operations on Scientific Notation ‐ MULTIPLICATION and DIVISION
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…students shall be able to divide numbers in scientific notation;
…students shall be able to recall the meaning of polynomial and its types;
…students shall be able to determine or identify the degree, and the leading coefficient of each polynomial;
…students shall be able to add and/or subtract polynomials.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…definition of quadratic, linear, quartic, cubic and quantic polynomial;
…giving illustrative examples of each type of polynomial;
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
DIVIDING NUMBERS IN SCIENTIFIC NOTATION – Application of the Laws of Exponents (Quotient of Power)
Evaluation:
seatwork, drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
CHAPTER 8 – Quadratic Expressions and Equations; Short review about the types of Polynomial and identifying leading coefficient and degree of Polynomial
Evaluation:
Seatwork, drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
Adding and Subtracting Polynomial Polynomials can only be added or subtracted if and only if they have the same set of literal coefficient that bears the same degree.
Evaluation:
seatwork, drill
Vocabulary:
similar polynomial
Homework:
exercises from the book
Main Activity:
QUIZ # 2
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to add, subtract and multiply polynomials;
…how to apply all the operations in realworld problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to add, subtract and multiply polynomials;
…to apply the FOIL method and distributive property of real numbers in multiplying polynomials.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
ADDING/SUBTRACTING POLYNOMIALS Definition and illustrative examples Of Similar/Like terms
Evaluation:
seatwork from the boo
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
WORD PROBLEMS – Adding/ Subtracting Polynomials and Determining whether each expression is Quantic, Quartic, Cubic, Quadratic, or Linear according to the degree
Evaluation:
Seatwork
Vocabulary:
Homework:
Exercises from the book
Main Activity:
MULTIPLYING POLYNOMIALS ‐ By distributive property and FOIL Method
Evaluation:
seatwork, drill and first 7
Vocabulary:
Homework:
Main Activity:
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…to multiply and divide polynomials;
…to solve real‐world problems involving polynomials.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to apply lessons in real world problems;
…to add, subtract, multiply and divide polynomials;
…to apply area and other lessons in Geometry.
Monday
Tuesday
Wednesday
Thursday
Friday
*** NO CLASSES***
Main Activity:
Evaluation:
Vocabulary:
Homework:
*** HOLIDAY – EDSA People Power***
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Multiplying Polynomials and Word Problems
Evaluation:
Seatwork, drills
Exercises from the book
Vocabulary:
Homework:
Exercises from the book
Main Activity:
Division of Polynomials and Word Problems
Evaluation:
seatwork, first 6
Vocabulary:
Homework:
Exercises from the book
Main Activity:
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…to find the product of two binomials;
…to easily multiply two or more binomials or polynomials;
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to multiply binomials having the same two terms;
…to solve word problems involving special products.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
SPECIAL PRODUCTS – Sum and Difference of Binomials Discussion
Evaluation:
drills
Vocabulary:
products
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
(…continuation of sum and difference) PRODUCT OF A SUM AND DIFFERENCE Discussion:
Evaluation:
Seatwork, group work
Vocabulary:
Homework:
exercises from the book
Main Activity:
APPLICATION / WORD PROBLEMS
Involving special products of
Polynomials
Evaluation:
Vocabulary:
Homework:
review for the quiz
Main Activity:
QUIZ # 4
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the different types of factoring;
…how to factor polynomials with four or more terms using grouping;
…the essence of Pi Day.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
FACTORING – Distributive Property GCF and Grouping
Evaluation:
seatwork, drills
Vocabulary:
GCF and Grouping
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
FACTORING – Distributive Property GCF and Grouping
Evaluation:
seatwork and drills
Vocabulary:
Homework:
exercises from the book
Main Activity:
GROUP WORK –application / word problems involving FACTORING
Evaluation:
Vocabulary:
Homework:
Main Activity:
PI DAY CELEBRATION
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to apply systems of linear equations in solving problems like number problems and age problems;
…how to translate verbal statement to mathematical statements.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…translate verbal statements to mathematical statements;
…use the most suitable method to solve systems of linear equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Solving problems involving system of linear equation. NUMBER PROBLEM
Evaluation:
Drill
Vocabulary:
consecutive, even and odd number
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
WORD PROBLEMS – Number Problem And Age Problems
Evaluation:
Seatwork, Drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
More examples and exercises about age problems (Systems of linear equation)
Evaluation:
seatwork
Vocabulary:
Homework:
Review for the quiz
Main Activity:
QUIZ # 4
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the way to factor a quadratic expression of the form
…how the    differ from one another;
Weekly Procedural Knowledge Overview - (Students will be able to...)
…factor quadratic expressions of the form     and
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Solving
DISCUSSION and ACTIVITY
Evaluation:
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Soving
FACTORING and Solving equations
Evaluation:
seatwork, drills
Vocabulary:
Homework:
exercises from the book
Main Activity:
QUIZ # 6
Evaluation:
Vocabulary:
Homework:
Main Activity:
SPAS OLYMPICS
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…MIDTERM EXAMS.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
ACTIVITY ‐ NUMBO
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
REVIEW FOR THE MIDTERM EXAMS
Evaluation:
Vocabulary:
Homework:
Main Activity:
MIDTERM EXAMS
Evaluation:
Vocabulary:
Homework:
Main Activity:
MIDTERM EXAMS
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to determine the vertex of parabola;
…the standard form of quadratic function;
…how to determine the minimum and maximum point of parabola.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Quadratic Function – Definition and Methods in solving its roots
Evaluation:
seatwork and drills
Vocabulary:
vertex, axis of symmetry
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Graph of Quadratic Function, domain and Range
Evaluation:
seatwork an drills
Vocabulary:
domain and range
Homework:
exercises from the book
Main Activity:
Maximum and Minimum point Quadratic Function
Evaluation:
first 7 and seatwork
Vocabulary:
Homework:
Main Activity:
QUIZ # 1
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Evaluation:
seatwork
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ # 1
Evaluation:
Vocabulary:
Homework:
Main Activity:
HOLIDAY – Labor Day
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to solve quadratic equation by graphing;
…determine the vertex of a parabola to graph quadratic equation.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Evaluation:
Seatwork, drills
Vocabulary:
solution
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Seatwork, drills, first 8
Vocabulary:
factor
Homework:
exercises from the book
Main Activity:
(continuation of the previous lesson)
+ WORD PROBLEM
Evaluation:
group work
Vocabulary:
Homework:
Review for the quiz
Main Activity:
QUIZ # 2
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the derivation of the quadratic formula;
…describe the roots of quadratic equations by using the discriminant.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Evaluation:
seatwork
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
(continuation…)
Evaluation:
seatwork, drills
Vocabulary:
Homework:
Main Activity:
DISCRIMINANT
Evaluation:
seatwork, drills
Vocabulary:
Homework:
Main Activity:
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
DISCRIMINANT
Evaluation:
seatwork, drills
Vocabulary:
discriminant
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
SEATWORK, DRILLS
Vocabulary:
Homework:
Main Activity:
Evaluation:
SEATWORK, DRILLS
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to find the area of Geometrical figures involving radical expressions.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:

Evaluation:
seatwork, drills
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
(continuation of the previous lesson)
Evaluation:
seatwork, drill
Vocabulary:
Homework:
Main Activity:
SCHOOL TRIP 2014
Evaluation:
Vocabulary:
Homework:
Main Activity:
SCHOOL TRIP 2014
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
….important vocabulary and the importance of rational equations and how evaluating them is different from other types of equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
….how to solve rational equations and evaluate them case by case.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
We will study Mixed Expressions and Complex Fractions on page 720
Evaluation:
We will have a short quiz today.
Vocabulary:
mixed fraction, complex fraction
Homework:
Do 11‐7 #s 1‐41 ODDS
Main Activity:
Review section 11‐7, discuss 11‐8, which is about Rational equations, do the examples therein.
Evaluation:
Seatwork today
Vocabulary:
rational equation, extraneous solution, work problem, rate problem
Homework:
11‐8 #s 1‐41 ODDS
Main Activity:
NO CLASS BLOCK SCHEDULE
Evaluation:
Vocabulary:
Homework:
Main Activity:
Review 11‐8 material, review for the quiz we have tomorrow.
Evaluation:
Seat work
Vocabulary:
Homework:
Study for the quiz
Main Activity:
QUIZ TODAY.
Evaluation:
QUIZ
Vocabulary:
N/A
Homework:
Do review material for the exam next week.
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
….Review for exam.
Weekly Procedural Knowledge Overview - (Students will be able to...)
….Review for exam.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
BEGIN REVIEW FOR THE CHAPTER TEST
Evaluation:
Vocabulary:
Homework:
Main Activity:
GIVE CHAPTER TEST
Evaluation:
Vocabulary:
Homework:
Main Activity:
NO CLASS BLOCK SCHEDULE
Evaluation:
Vocabulary:
Homework:
Main Activity:
REVIEW FOR THE FINAL CUMULATIVE EXAM.
Evaluation:
Vocabulary:
Homework:
Main Activity:
REVIEW FOR THE FINAL CUMULATIVE EXAM.
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
FINAL REVIEW SESSION BEFORE THE EXAMS.
THIS IS EXAM WEEK, SO NO FURTHER INSTRUCTION
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAM WEEK
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAM WEEK
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAM WEEK
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered