Math 3 (Khan v.11.4.2016) Student___________________________________________

Unit 1: Manipulating Functions

Unit 2: Polynomial Expressions, Equations, and Functions

Unit 3: Radical Equations and Functions

Unit 4: Rational Expressions, Equations, and Functions

Unit 5: Exponential and Logarithmic Functions

Unit 6: Trigonometric Functions

Unit 7: Advanced Equations and Functions

Unit 8: Series

Unit 9: Study Design

Unit 10: Normal Distributions

1 2 3 4 5 6 7 8 9 10 11 12

1 2 3 4 5 6 7 8 9 10

1 2 3 4

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1 2 3 4 5 6 7 8 9 10 11

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

1 2 3 4 5

1 2 3 4

1 2 3

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Math 3 (Khan v.11.4.2016) Student___________________________________________

1: Manipulating FunctionsEvaluate composite functions Evaluate composite

functions: graphs and tablesFind composite Functions Shift Functions Transforming Functions

Model with function combination

Model with composite functions

Evaluate inverse functions Find inverses functions Verify inverse functions

Determine if a function is invertible

Restrict domains of functions to make them invertible

2: Polynomial Expressions, equations, and functionsExpand binomials Prove polynomial identities Factor polynomials: complex

numbersSolve quadratic equations: complex solutions

Find zeros of polynomials

Zeros of polynomials & their graphs

Positive and negative intervals of polynomials

End behavior of polynomials Even & odd functions Even & odd polynomials

3: Radical Equations and functionsSolve square-root equations (basic)

Solve square-root equations Extraneous solutions of radical equations

Radical functions & their graph

4: Rational Expressions, equations, and functionsSimplify rational expressions: common monomial factors

Simplify rational expressions: common binomial factors

Simplify rational expressions (advanced)

Multiply and divide rational expressions (basic)

Multiply and divide rational expressions

Multiply and divide rational expressions (advanced)

Add and subtract rational expressions: like denominators

Add and subtract rational expressions: unlike denominators

Least common multiple Add and subtract rational expressions: factored denominators

Add and subtract rational expressions

Nested Fractions Equations with one rational expression

Equations with one rational expression (advanced)

Equations with two rational expressions

Recognized direct and inverse variation

End behavior of rational functions

Rational function points of discontinuity

Analyze vertical asymptotes of rational functions

Graphs of rational functions

5: Exponential and Logarithmic FunctionsEvaluate logarithms Evaluate logarithms

(advanced)Relationship between exponentials and logarithms

Use the properties of logarithms

Evaluate logarithms: change of base rule

Use the logarithm change of base rule

Solve exponential equations using logarithms (base-10 and base-e)

Solve exponential equations using logarithms (base-2 and other bases)

Exponential model word problems

Graphs of exponential functions

Graphs of logarithmic functions

6: Trigonometric Functions

Math 3 (Khan v.11.4.2016) Student___________________________________________Solve triangles using the law of sines

Solve triangles using the law of cosines

General triangle word problems

Radians & degrees Trig values of special angles

Use the Pythagorean identity Midline of sinusoidal functions from graph

Amplitude of sinusoidal functions from graph

Midline of a sinusoidal function from equation

Amplitude of a sinusoidal function from equation

Period of sinusoidal functions from graph

Period of sinusoidal functions from equation

Graph sinusoidal functions Construct sinusoidal functions

Modeling with sinusoidal functions

7: Advanced Equations and FunctionsInterpret equations graphically

Solve equations graphically End behavior of algebraic models

Periodicity of algebraic models

Compare features of functions

8: SeriesSigma notation Arithmetic series Finite geometric series Finite geometric series word

problems

9: Study DesignValid Claims Making inferences from

random samplesTypes of statistical studies

10: Normal DistributionsEmpirical Rule