# Algebra II

Curriculum > High > Clark > Mathematics
• Syllabus
• Sample Lesson Plan
Course Description
Students who have successfully completed Algebra 1 and Geometry should plan to take Algebra 2. Algebra 2 starts with a continuation of concepts studied in Algebra 1. It is a high school mathematics course designed for students successfully acquired and mastered basic Algebraic skills. In this course, we will consider the properties of real numbers, linear and quadratic equations (and their graphs), functions, systems of equations, polynomials, rational expressions and basic data analysis. This is relatively the same as Algebra 1, but at a slightly different level. We will go on to discuss such topics as exponential and logarithmic relations, sequences and series, and then finish with basic trigonometric functions. Students will be challenged by new concepts that require graphing skill, function analysis, solving higher order equations, investigating complex number systems, and working with matrices, conic sections, logarithms, data analysis and probability. This course is a prerequisite for Math Analysis/Trigonometry and College Algebra.
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 rules) 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”, “greater 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
Weekly Course Plan
First Quarter
• Week 1: The real number system, definition of function, vertical line test, and determining functions.
• Week 2: Properties of equality, introduction to linear equation, standard form of a linear equation, parts of a linear equation and its graph.
• Week 3: Equations of a line – Two‐point form, slope‐intercept form, and point‐slope form.
• Week 4–5: Systems of equations – Consistent and independent, consistent and dependent, and inconsistent, and parallel and perpendicular lines.
• Week 6: Solving systems of equations by graphing and by elimination methods.
• Week 7: Solving systems of equations by substitution, and solving determinants.
• Week 8: Solving systems of equations by Cramer’s Rule.
• Week 9: Review and Midterm exams.
Second Quarter
• Week 10‐11: Introduction to polynomials, base, exponent, coefficients, terms, and degree of polynomials, addition and subtraction of polynomials.
• Week 12–13: FOIL Method, and special products and factoring – Perfect square trinomials, sum and difference of two terms, general trinomial, GCF, Sum and difference of two cubes and grouping, etc.
• Week 16: Rational exponents and simplifying rational exponents, and solving radical equations.
• Week 17: Complex numbers ‐ definition and operations.
• Week 18: Review and Midterm exams.
Third Quarter
• Week 1: Solving quadratic equations by graphing and factoring.
• Week 2: Solving quadratic equations by completing the square and by quadratic formula, and discriminant.
• Week 3: Sum and Product of roots and vertex form of quadratic equation.
• Week 5: Distance and midpoint formula and parabolas.
• Week 6–7: Equations of circles, ellipse and hyperbola.
• Week 8: Polynomial functions.
• Week 9: Review and Midterm exams.
Fourth Quarter
• Week 10: Remainder and Factor theorems, and their application.
• Week 11: Roots and Zeros – complex conjugates theorem, and Des Cartes’ Rule of signs.
• Week 12: Rational Zero theorem and definition of quadratic form.
• Week 13: Composition of functions, and inverse functions and relations.
• Week 14: Rational expressions and rational equations.
• Week 15–17: Exponential and Logarithmic functions.
• 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.

 Quizzes 25% Seatwork 20% Homework 10% Class Standing 15% Examination 30% 100%

 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
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...)
The different types of numbers and how to solve inequalities and equalities.
Weekly Procedural Knowledge Overview - (Students will be able to...)
How to solve mathematical equations and inequalities.
Identify mathematical properties
Identify the many types of numbers.
Monday
Tuesday
Wednesday
Thursday
Friday
***FIRST DAY OF CLASS***
Main Activity/Lesson
Today is the introduction to the course. Distribute syllabus, calculators, text books. Discuss at length the syllabus of the class and the class expectations at length the syllabus of the class.
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson
We will quickly go through Chapter 1 materials. Equations and Inequalities on page 3, and then Lesson 1‐1, which is Expressions and Formulas.
Evaluation:
Vocabulary:
variables, algebraic expressions, order of operations, formula
Homework:
Section 1‐1. #1‐47 ODDS
Main Activity/Lesson
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson
Study the properties of real numbers section 1‐2. Study the types of numbers in the course to be discussed.
Evaluation:
Seat work
Vocabulary:
real numbers, rational numbers, irrational numbers, integers, whole numbers, natural numbers.
Homework:
Section 1‐2, # 1‐41 ODDS
Main Activity/Lesson
QUIZ DAY.
Move on to section 1‐3, which is about Solving Equations. How to solve inequalities is similar.
Evaluation:
Vocabulary:
open sentence, equation, solution, reflexive, symmetric, transitive, substitution
Homework:
Study material of this week.
Materials / Resources (including technology)
Mini boards , markers, Textbooks, Place value charts
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
What absolute value is;
The properties of inequalities;
The difference between a simple relation from a function.
Weekly Procedural Knowledge Overview - (Students will be able to...)
solve absolute value equations;
Differentiate relation and function;
Solve inequalities.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson
Solving Absolute Value Equations
Evaluation:
First 6
Vocabulary:
absolute value, empty set
Homework:
#s 6 – 34, p. 30
Main Activity/Lesson
Solving inequalities‐ properties of inequalities
Evaluation:
First 6, seatwork ‐ #s 10 – 21, p. 37
Vocabulary:
Homework:
#s 23 – 36, p. 37
Main Activity/Lesson
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson
Relations and functions, and graphs of functions
Evaluation:
seatwork ‐ #s 1 – 8, p. 64
Vocabulary:
domain, range, vertical line test, discrete, continues, dependent, and independent variable
Homework:
Main Activity/Lesson
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
Graph linear functions;
The slope of a line;
The standard form of a linear equation.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Find the slope of a line;
Write the equation to standard form;
Differentiate the slope of perpendicular and parallel lines;
Write linear equation in different forms.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson
Linear Relations and Functions Ax + By = C
Evaluation:
seatwork ‐ #s 1‐11, p. 71
Vocabulary:
Coefficient, variable, linear
Homework:
#s 16‐34, p. 7
Main Activity/Lesson
Rate of Change and Slope
Evaluation:
First 7, seatwork
Vocabulary:
slope, rate, denominator, numerator
Homework:
Workbook ‐ #s 1‐15, p. 17
Main Activity/Lesson
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson
Writing Linear Equations – Slope‐ Intercept Form
Evaluation:
seatwork ‐ #s 8‐15, p. 87
Vocabulary:
intercept, perpendicular, parallel
Homework:
Study for the quiz on Friday
Main Activity/Lesson
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
The derivation of the four equations of a line;
The difference between the slopes of parallel lines and the slopes of perpendicular lines;
When to use point‐slope and
Weekly Procedural Knowledge Overview - (Students will be able to...)
Find the equation of a line that using the different forms of linear equation;
Identify the slope of parallel and perpendicular lines;
Solve problems involving slope of linear equation.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson
Writing Linear Equations – Slope‐ Intercept formand Point‐Slope Form
Evaluation:
#s 1‐15, p. 86‐87
Vocabulary:
Homework:
#s 8‐15, p. 87
Main Activity/Lesson
Point – Slope Form of Linear Equation ‐ Day 2 Parallel and Perpendicular Lines
Evaluation:
Seatwork ‐ #s 23‐26, p. 87
Vocabulary:
Parallel and perpendicular lines
Homework:
#s 27‐29 – Problem solving, p. 87
Main Activity/Lesson
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson
Parallel and perpendicular lines (Day 2)
Evaluation:
Seatwork ‐ #s
Vocabulary:
Homework:
Main Activity/Lesson
QUIZ # 4
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
The difference between causation and correlation
The proper labeling for scatter plots
The significance of a line of best fit
Weekly Procedural Knowledge Overview - (Students will be able to...)
How to computer the line of best fit
How to draw a scatter plot
Identify families of functions
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson
Scatter Plots and Lines of Regression on page 92.
Evaluation:
Vocabulary:
Prediction equation, line of fit, scatter plot, dot plot, bivariate data
Homework:
Section 2‐5: 1‐15
Main Activity/Lesson
Special Functions and Piecewise functions. How to identify the domain and range in a function.
Evaluation:
Vocabulary:
Piecewise function, step function, absolute value function, greatest integer function
Homework:
Sec. 2‐6: 1‐29 ODDS
Main Activity/Lesson
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson
Move on to Section 2‐7: Parent Functions and Transformations.
Evaluation:
Vocabulary:
Family of graphs, parent graph, identify function, dilation, transformation
Homework:
Sec 2‐7: 1‐45 ODDS
Main Activity/Lesson
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
…how to write the standard form of quadratic equations;
…the parts of parabola;
…the domain and the range of a given quadratic function.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…rewrite a quadratic equation to standard form;
…find the vertex of quadratic equation;
…identify the parts of quadratic function;
…find the minimum and maximum values of quadratic functions.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity/Lesson
Evaluation:
seatwork – p. 224
Vocabulary:
axis of symmetry, parabola, quadratic, vertex
Homework:
Main Activity/Lesson
PARTS OF PARABOLA
Evaluation:
seatwork
Vocabulary:
Minimum and maximum point
Homework:
Main Activity/Lesson
Evaluation:
Vocabulary:
Homework:
Main Activity/Lesson
Minimum and maximum values, and Domain and Range of quadratic functions
Evaluation:
First 7, seatwork
Vocabulary:
Homework:
Review for the quiz
Main Activity/Lesson
SCHOOL TRIP
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
Weekly Informational Knowledge Overview - (Students will know...)
…how to solve the roots of quadratic equations by factoring;
…recall the process of factoring and special products;
…how to find the greatest common factor of a set of numbers. Weds
Weekly Procedural Knowledge Overview - (Students will be able to...)
…determine the greatest common factor of two numbers;
…define and differentiate roots from zeros.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ DAY
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Seatwork, first 6
Vocabulary:
solution, roots, zeros
Homework:
Main Activity:
Solving Quadratic Equations – Factoring (Day 2)
Evaluation:
– Factoring (Day 2)
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to write an equation using its roots;
…how to evaluate complex numbers;
…the value of i, i2, i3 and i4;
…the roots of quadratic equation with complex numbers.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…solve quadratic equations with complex numbers;
…evaluate complex numbers and imaginary numbers;
…differentiate complex number and pure imaginary number.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Writing Quadratic Equation using its roots
Evaluation:
Seatwork, first 7
Vocabulary:
Homework:
Answer #s 1‐3 and 17‐19, p. 242
Main Activity:
Pure Imaginary Numbers and Complex Numbers
Evaluation:
Seatwork
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
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
View PDF
Weekly Informational Knowledge Overview - (Students will know...)
…the lessons covered by the exams.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
***REVIEW FOR MIDTERM***
Main Activity:
Evaluation:
Vocabulary:
Homework:
***MIDTERM EXAMINATIONS***
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
***PREPARATION FOR NUMBO***
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 the completing the square is done;
…how to describe the roots of quadratic equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…apply these methods in solving real‐world problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Solving Quadratic Equation by COMPLETING THE SQUARE METHOD (where a = 1)
Evaluation:
Drills
Vocabulary:
Homework:
Main Activity:
Solving Quadratic Equation by COMPLETING THE SQUARE METHOD (where a > 1)
Evaluation:
Drills and seatwork
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
First 7, Drills and seatwork
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...)
…the nature of roots of quadratic equations through their discriminant;
…how to apply the different methods in solving word problems involving quadratic equations;
…the discriminant of one quadratic equation.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…solve word problems involving quadratic equation;
…determine the discriminant of quadratic equation;
…describe the roots of quadratic equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Discriminant (b2 ‐4ac)
‐it describes the nature of roots of a quadratic function.
Evaluation:
seatwork, drills
Vocabulary:
discriminant
Homework:
Main Activity:
Solving word problems involving quadratic functions
Evaluation:
seatwork
Vocabulary:
Homework:
Answer the given word problems on the board.
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Group work ‐ Review for the quiz
Evaluation:
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 steps in dividing polynomials;
…the rules in dividing polynomials;
…how to use synthetic division as an alternative way of dividing polynomials.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…divide polynomials using the long division and synthetic division;
…apply the long division and synthetic division in solving word problems.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Dividing Polynomials
The Long Division, where the leading coefficient is equal to 1.
Evaluation:
Vocabulary:
Homework:
Exercises from the book
Main Activity:
Long Division – (continuation)
And Synthetic Division
Evaluation:
Drills, Seatwork
Vocabulary:
Dividend, divisor
Homework:
Worksheet
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Application of Dividing Polynomials, solving world problems, Exercises and Review
Evaluation:
Vocabulary:
Homework:
Main Activity:
QUIZ # 2
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the definition of polynomial functions;
…the end behavior of polynomial functions;
…even and odd degree.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…find the end behavior of polynomial functions;
…determine whether the polynomial is even or odd;
…determine the number of curves of polynomial functions.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
POLYNOMIAL FUNCTIONS
Definition of Polynomial Function in One variable
Evaluation:
Exercises page 326
Vocabulary:
Leading coefficient, degree, end behavior, cubic, quartic, quintic
Homework:
Exercises page 326‐327
Main Activity:
End Behavior of Polynomial Functions
Zeros of Even‐and‐Odd Degree Functions
Evaluation:
Drills, Seatwork
Vocabulary:
Even, odd, end behavior
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
DAY 2 – End behavior
Number of Curves of Polynomial Functions
Evaluation:
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...)
…the different ways to factor polynomials;
…how to determine whether each polynomial is factorable or prime polynomial.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…factor polynomials using different techniques;
…determine whether each polynomial is factorable or prime polynomial.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
‐ Evaluating Polynomial Functions – Finding (f ∘ g)(x) of any polynomial functions
Evaluation:
Exercises from the book
Vocabulary:
Homework:
Exercises from the book
Main Activity:
‐ Solving Polynomial Equations – Factor Polynomials with two terms
‐ Sum and Difference of Cubes
Evaluation:
Drill and Seatwork
Vocabulary:
Perfect cubes
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
FACTORING – Grouping ax + bx + ay + by = (a + b)(x + y)
Evaluation:
Exercises from the book
Vocabulary:
Homework:
Review for the quiz tomorrow
Main Activity:
QUIZ # 4
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to apply the remainder theorem in real‐world problems;
…that the remainder can be known by evaluating f(x) using r.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…state the remainder theorem;
…apply the remainder theorem in solving problems;
…find enjoyment in playing NUMBO Christmas Edition.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
QUIZ # 4 – Please see Lesson plan dated Dec. 13, 2013 – the quiz was moved due to extended discussion of the previous lesson.
Evaluation:
Vocabulary:
Homework:
Main Activity:
The Remainder Theorem It states that if a polynomial f(x) is divided by a binomial x‐r, then the remainder is a constant f(r).
Evaluation:
Seatwork, Drills
Vocabulary:
Homework:
Exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
NUMBO – Christmas Edition
Evaluation:
Vocabulary:
Homework:
Main Activity:
MERRY CHRISTMAS and A HAPPY NEW YEAR!!!
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to use complex numbers to describe solutions of quadratic equations;
…how to determine the number and type of roots for a polynomial equations.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…find the zeros of a polynomial function;
…determine the number and type of roots for a polynomial equation.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Short review of the Remainder Theorem
Introduction of the Factor Theorem
Evaluation:
Exercises, drill
Vocabulary:
factor
Homework:
exercises in the book
Main Activity:
Roots and Zeros – Synthetic types of roots
Evaluation:
exercises in the book
Vocabulary:
Homework:
exercises left in the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Des Cartes’ Rule of Sign
Evaluation:
seatwork and drill
Vocabulary:
Homework:
Review for the quiz
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 find the roots of a polynomial function using Rational Zero Theorem;
…that for every polynomial function with two imaginary roots, the roots are with opposite signs.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…find the zero of a polynomial function using the Rational Zero Theorem;
…write all possible zeros of a polynomial using �p/q;
…write a polynomial function using the given roots.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
COMPLEX CONJUGATES THEOREM
If a+bi is a zero of polynomial Function, then a‐bi is also a zero.
Evaluation:
seatwork, drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
(continuation of COMPLEX CONJUGATES THEOREM)
Evaluation:
seatwork, group work
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
RATIONAL ZERO THEOREM
For any polynomial function, p/q is a zero of a polynomial where p is a factor of a0 and q is factor of an.
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...)
…final examination
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
RATIONAL ZERO THEOREM –Introduction and Definition
Illustrative examples
Evaluation:
First 7, seatwork, drill
Vocabulary:
Zero – value of x
Homework:
Review for the FINAL EXAMS
Main Activity:
Review for the FINAL EXAMINATION
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...)
…students shall be able to change expression from radical form to exponential and vice versa;
…students shall be able to perform operations with rational exponents.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
***Interactive Discussion***
Main Activity:
RATIONAL EXPONENTS – Introduction and Definition
‐ Illustrative examples
Evaluation:
Vocabulary:
Homework:
Exercises from the book
Main Activity:
Rewriting exponential form to radical form and radical form to exponential form
Simplifying Rational exponents
Evaluation:
seatwork, drill, first 7
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Simplifying Rational Exponents, e.g.
and/or
Evaluation:
seatwork, drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
Multiplication and Division of Expressions with Rational Exponents
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…students shall be able to perform the operations on radical expressions;
…students shall be able to rationalize the denominator of radical expressions.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
RADICAL EXPRESSIONS – Introduction and discussion
Illustrative examples
Evaluation:
seatwork and drill
Vocabulary:
Homework:
exercises from the book/ review for the quiz
Main Activity:
QUIZ # 1
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Illustrative examples
Evaluation:
Seatwork. drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
Multiplication and Division
Illustrative examples
Evaluation:
seatwork, worksheet
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…students shall be able to solve radical equations;
…students shall be able to define radical equations and give examples of it;
…students shall be able to pass the quiz.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…recall the laws of rational and radical expressions;
…pass the quiz.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Evaluating Rational Exponents – More illustrative examples
(a continuation from last week’s lesson)
Evaluation:
activity (Board work)
Vocabulary:
Homework:
Main Activity:
RADICAL EQUATION – An introduction and Definition
Evaluation:
Seatwork, drill
Vocabulary:
Homework:
exercises from the book
Evaluation:
Vocabulary:
Homework:
Main Activity:
An application of rational exponents and radical expressions
Evaluation:
seatwork, first 7
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...)
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Graphing the solution
Evaluation:
seatwork, drill and first 7
Vocabulary:
Homework:
exercises from the book
Main Activity:
RATIONAL EXPRESSION ‐ Definition
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...)
…how to multiply rational expression;
…how to find the LCD of two or more Rational expressions;
…how to determine whether the value of x is an exemption.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to multiply rational expressions;
…to find the LCD of two or more rational expressions;
…to determine the exempted value/s of x for each given rational expression.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
NO CLASSES
Evaluation:
Vocabulary:
Homework:
Main Activity:
HOLIDAY – EDSA People Power
Evaluation:
Vocabulary:
Homework:
Main Activity:
Multiplying Rational Expressions
Evaluation:
seatwork, drills
Vocabulary:
Homework:
Exercises from the book
Main Activity:
Continuation of Multiplying Rational Expressions
Evaluation:
drills, seatwork
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 solve rational equation;
…how to determine whether the value of a variable is a solution or extraneous;
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to solve rational equation algebraically;
…to apply the rational equation in solving word problems;
…to determine whether the value is extraneous or not.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
SOLVING RATIONAL EQUATIONS ‐
Discussion and illustrative examples
Evaluation:
drill
Vocabulary:
rational equation
Homework:
exercises from the book
Main Activity:
(…continuation of Rational equation)
Evaluation:
seatwork, group work
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
(…continuation of solving word Problems involving rational equation)
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 parts of parabola;
…how to write the standard/vertex form of quadratic equation;
…differentiate the equations of vertical and horizontal parabola.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to graph equations of parabola;
…to name the parts of parabola;
…to write the equation of parabola to vertex form.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
INTRODUCTION TO CONIC SECTIONS ‐
PARABOLA – Definition and parts VERTICAL PARABOLA Evaluation: seatwork, drills
Evaluation:
Vocabulary:
vertex, latus rectum, directrix, axis of symmetry, focus
Homework:
exercises from the book
Main Activity:
INTRODUCTION TO CONIC SECTIONS –
PARABOLA – Definition and parts VERTICAL PARABOLA
Evaluation:
seatwork, drills
Vocabulary:
vertex, latus rectum, directrix, axis of symmetry, focus
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
INTRODUCTION TO CONIC SECTIONS ‐
PARABOLA – Definition and parts HORIZONTAL PARABOLA
Evaluation:
seatwork, drills
Vocabulary:
vertex, latus rectum, directrix, axis of symmetry, focus
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...)
…the graph of parabola and hyperbola;
…how parabola differ from hyperbola;
…the different parts of hyperbola.
Weekly Procedural Knowledge Overview - (Students will be able to...)
…to write the equation of parabola in center form;
…to graph and name the parts of a hyperbola.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
GRAPH OF HORIZONTAL PARABOLA
Evaluation:
seatwork, drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
QUIZ # 5
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
HYPERBOLA – Graphs and its parts
Horizontal Hyperbola and centered at the origin
Evaluation:
drill
Vocabulary:
asymptote
Homework:
exercises from the book
Main Activity:
HYPERBOLA – Graph and its parts
Vertical Hyperbola and centered at the origin
Evaluation:
seatwork
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…the standard form or center‐vertex form of equation of hyperbola;
…the parts of hyperbola once again;
…the graph of vertical and horizontal hyperbola centered at (h, k).
Weekly Procedural Knowledge Overview - (Students will be able to...)
…graph vertical and horizontal hyperbola centered at (h, k);
…find the foci, transverse axis and conjugate axis, and vertices of hyperbola.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
VERTICAL AND HORIZONTAL HYPERBOLA CENTERED AT (h, k)
Horizontal:and
Vertical:
Evaluation:
Seatwork, drills
Vocabulary:
Homework:
exercises from the book
Main Activity:
WRITING THE EQUATION OF HYPERBOLA TO STANDARD FORM
Evaluation:
seatwork, drills
Vocabulary:
Homework:
review for the quiz
Main Activity:
Evaluation:
Vocabulary:
Homework:
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:
REVIEW FOR THE MIDTERM EXAMS
Evaluation:
Vocabulary:
Homework:
Main Activity:
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...)
…the equations of circle;
…how to find the radius of circle;
…how to write the center form of equation of circle;
…apply the formula to solve word problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
CIRCLE – Equations and Parts
Evaluation:
drills
Vocabulary:
Homework:
exercises from the book
Main Activity:
Finding the center and the length of the Radius of circle.
Evaluation:
seatwork, and drills
Vocabulary:
Homework:
exercise from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
seatwork
Vocabulary:
Homework:
exercises from the book
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 circle;
…apply the formula of circle to solve word problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Graph of Circles and Word problems
Evaluation:
seatwork
Vocabulary:
Homework:
exercises from the book
Main Activity:
QUIZ # 1
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
HOLIDAY – Labor Day
Evaluation:
Vocabulary:
Homework:
Main Activity:
INTRODUCTION TO ELLIPSE
Evaluation:
Vocabulary:
exercises from the book
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to write an equation of ellipse to center form;
…how to apply the formula for ellipse in realworld problems.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
Writing equation of ELLIPSE of the form
Evaluation:
seatwork, drills
Vocabulary:
Homework:
exercises from the book
Main Activity:
Applying ELLIPSE in Real‐World Problems
Evaluation:
seatwork
Vocabulary:
Homework:
exercises from the book
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
More word problems on Ellipse
Evaluation:
review for the quiz
Vocabulary:
Homework:
Main Activity:
QUIZ # 2
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how the conic sections differ from one another;
…the relationship of logarithm and exponential functions;
…how to change logarithmic form to exponential form.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
ACTIVITY – Conic Sections
Parabola, Ellipse, Hyperbola and Circle
Evaluation:
Vocabulary:
Homework:
Main Activity:
ACTIVITY – Conic Sections
Parabola, Ellipse, Hyperbola and Circle
Evaluation:
Vocabulary:
Homework:
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
Introduction to Logarithmic and Exponential Functions
Evaluation:
Vocabulary:
Logarithm, exponential functions
Homework:
exercises from the book
Main Activity:
(…continuation of) the previous lesson
Evaluation:
seatwork. drills
Vocabulary:
Homework:
exercises from the book
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
…how to evaluate logarithmic functions.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
EXPONENTIAL EQUATION
Evaluation:
SEATWORK, DRILLS
Vocabulary:
Homework:
EXERCISES FROM THE BOOK
Main Activity:
QUIZ # 3
Evaluation:
Vocabulary:
Homework:
EXERCISES FROM THE BOOK
Main Activity:
Evaluation:
Vocabulary:
Homework:
Main Activity:
LOGARITHMIC FUNCTIONS ‐ PROPERTIES OF LOG. FUNCTION
Evaluation:
SEATWORK, DRILLS
Vocabulary:
Homework:
EXERCISES FROM THE BOOK
Main Activity:
LOGARITHMIC EXPRESSIONS
Evaluation:
SEATWORK, DRILLS
Vocabulary:
Homework:
EXERCISES FROM THE BOOK
Materials / Resources (including technology)
State of Minnesota Standards Covered
Weekly Informational Knowledge Overview - (Students will know...)
...simplify and evaluate logarithmic expression using its properties.
Weekly Procedural Knowledge Overview - (Students will be able to...)
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
PROPERTIES OF LOGARITHM ‐ Product, Quotient and Power
Evaluation:
seatwork, drill
Vocabulary:
Homework:
exercises from the book
Main Activity:
(continuation of the previous lesson)
PROPERTIES OF LOGARITHM
Evaluation:
seatwork, drill
Vocabulary:
Homework:
Main Activity:
Evaluation:
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...)
…exponential functions and logarithmic functions
Weekly Procedural Knowledge Overview - (Students will be able to...)
….how to graphy and solve exponential and logarithmic equations.
Monday
Tuesday
Wednesday
Thursday
Friday
Main Activity:
7‐1 Graphing Exponential Functions
Evaluation:
Vocabulary:
Exponential function, asymptote, exponential growth.
Homework:
Main Activity:
7‐2: Solving Exponential Equations and inequalities
Evaluation:
Vocabulary:
Homework:
Sec. 7‐2: 1‐41 ODDS
Main Activity:
NO CLASS – BLOCK SCHEDULE
Evaluation:
Vocabulary:
Homework:
Main Activity:
Sec 7‐6 Common logarithms
Evaluation:
Vocabulary:
Homework:
SEC 7‐6 1‐41 ODDS
Main Activity:
Evaluation:
Vocabulary:
Homework:
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
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAM
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAM
Evaluation:
Vocabulary:
Homework:
Main Activity:
FINAL EXAM
Evaluation:
Vocabulary:
Homework:
Materials / Resources (including technology)
State of Minnesota Standards Covered