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1. Function Basics

A. Parent Functions & Characteristics

B. Piecewise Functions & Continuity

C. Simplifying & Operations of Functions

D. Compositions of Functions

E. Function Intercepts, Extrema, Domain and Range

F. Functions/Relations & Domain/RangE

G. Function Characteristics

H. Inverse & Composition of Functions

I. Evaluate Piecewise Functions and Discontinuity

2. Function Translations

A. Characterstics of function

B. Function Transformations (H,K)

C. Function Transformations (A)

D. Function Transformations Exam

E. Function Characteristics Partner Practice

F. Function Families

G. Function Characteristics exam

H. Function Composition

I. Function Inverses

3. Absolute Value

A. Graphing Absolute Value Functions

B. Graphing Absolute Value Inequalities

C. Solving Absolute Value Equations

D. Solving Absolute Value Inequalities

E. Absolute Value Functions

F. Inequalities & Absolute Value

G. Absolute Value Graphs with Transformations

H. Graphing & Solving Absolute Value Functions & Inequalities

I. Graphing Absolute Value Inequalities on the Coordinate Plane

4. Solve Quadratics

A. Quadratic by Standard Form

B. Quadratic Functions (Vertex and Intercept Forms)

C. Quadratic Equations By Factoring

D. Quadratic Equations By Completing the Square

E. Linear-Quadratic and Quadratic-Quadratic

F. Complex Numbers and Quadratic Formula

G. Square Root, Completing the Square, and Inequalities

H. Quadratic Modeling

5. Graph Quadratics and Systems

A. Graphing in Standard form

B. Graphing in intercept form

C. Graphing in vertex form

D. Graphing quadratic systems

E. Graphing piecewise functions

F. Solving Quadratic Systems by Graphing

6. Polynomial Characteristics

A. Polynomial Characteristics

B. Polynomial Graphing

C. Identifying Polynomial Characteristics

D. Polynomial Theorems

E. Polynomial Graphing in Factored Form

F. 3.2 Evaluate and Graph Polynomials

G. Factoring - Special Cases

H. Writing Polynomial Functions and Quiz Review

I. Finding All Zeros or Factors of a Polynomial Function

7. Polynomial Division and Solving

A. Polynomial Solutions and Types

B. Polynomial Factoring / Division

C. Polynomial Roots

D. Dividing Polynomials and Synthetic Division

E. Graphing Polynomial Functions

F. Add, Subtract, Multiply Polynomials

8. Variation; Add / Subtract / Multiply / Divide Rationals

A. Variation & Simplifying Rationals

B. Direct, Inverse and Joint Variation

C. Model Inverse and Joint Variation

D. Fractions & Variation

E. Simplify Rational Expressions

F. Exponent Rules

G. Add and Subtract Rationals

H. Adding/Subtraction and Complex Rationals

I. Multiply and Divide Rational Expressions

J. Solve Rational Equations

K. Simplify Complex Rationals

9. Solve and Graph Rationals

A. Graph Rational Functions in H-K form

B. Graph Rational Functions P/Q

C. Graphing Rational Functions

D. Graph Square Root and Cube Root Functions

10. Function Composition. Inverse; Rational to Radical; Rational Denominators

A. Simplifying Radical Expressions

B. Nth Roots and Rational Exponents

C. Radicals and Rational Exponents

D. Inverse Functions

E. Function Operations

F. Operations and Functions

G. Solving Radical Equations

H. Graphing Square Root and Cube Root Functions

11. Solve Radicals

A. Radical Functions

B. Simplifying Radicals

C. Adding and Subtracting Radical Expressions

D. Multiplying and Dividing Radical Expressions

E. Simplifying Expressions with Rational Exponents

F. Graphing Square Roots and Cube Roots

G. Graphing Radicals

12. Exponents and Logs

A. Graph Exponential Growth Functions

B. Exponential Growth Functions

C. Use Functions Involving e

D. Logarithm and Exponential Equations

E. Evaluating, Estimating, and Changing Forms w/Logs

F. Fixed, Compound & Continuous Interest

G. Exponential Decay Functions

H. Base e and Solving Exponential Equations with Like Bases

I. Graphic Organizer for Logarithmic Functions

J. Logarithmic Functions: Inverses and Properties of Logs

K. Solving Exponential & Logarithmic Equations

L. Exponential and Logarithmic Expressions

13. Piecewise-

A. Piecewise Functions

B. Quadratic Inequalities and Piecewise Functions

C. Evaluate Piecewise Functions and Discontinuity

D. Graphing Piecewise Functions

E. Domain and Range

F. Types of Piecewise Functions

14. Combinatorics-

A. Permutations and combinations

B. Fundamental Counting Principle, Permutations & Combinations

C. central tendency

D. Statistics and Modeling

E. Normal Distribution, Standard Deviation, and Z-Score Notes

F. Standard Deviation, Normal Distribution & Z-scores

G. Percentage under a Bell Curve & Finding values.

15. Data-

A. Correlation and Functions

B. Vocabulary Exploration

C. Using Data to Explore Function Shapes

D. Domain, Range, Intercepts, and Intervals

E. Parent Functions Activity

F. Parent FunctionsDisplay Page

16. Angles, Arc Length, Sector Area, Rt Triangle Trig-

A. Right triangle trig: Evaluating ratios

B. Right triangle trig: Missing sides/angles

C. Angles and angle measure

D. Co-terminal angles and reference angles

E. Arc length and sector area

F. Trig ratios of general angles

G. Exact trig ratios of important angles

H. The Law of Sines

I. The Law of Cosines

J. Graphing trig functions

K. Translating trig functions

L. Angle Sum/Difference Identities

M. Double-/Half-Angle Identities

17. Unit Circle and Periodicity-

A. Angles and the Unit Circle

B. Exploring Periodic Data

C. Define General Angles and Use Radian Measure

D. Radian Measure

E. The Sine Function

F. Coordinates on the Unit Circle

G. Pythagorean Identity

H. Periodicity of Tangent

I. Periodicity of Sine and Cosine

18. Graph Six Trig Functions-

A. Graphing Trig Functions

B. Practice with the Six Trig Functions

C. Radian Measure

D. Inverse Trigonometric Functions

E. Evaluate Trigonometric Functions of Any Angle

F. Evaluate Inverse Trigonometric Functions

G. Special Right Triangles

H. Practice with Cofunctions

I. Practice with Pythagorean Identities

J. Practice with Sum and Difference of Angles

19. Inverse Sine, Cosine, Tangent Graph-

A. Inverse Trigonometric Functions and Their Graphs

B. Inverse Sine Function

C. Inverse Cosine Function

D. Inverse Tangent Function

20. Inverse Trig Compositions-

A. Inverse Trigonometric Functions

B. Inverse Cosine and Inverse Tangent

C. Evaluate Trigonometric Functions of Any Angle

21. Inverse Sec, Csc, Cot-

A. Inverse Secant Function

B. Inverse Cosecant Function

C. Inverse Cotangent Function

22. Fundamental Trig Proofs-

A. Quotient Identities

B. Reciprocal Identities

C. Pythagorean Identities

D. Even-Odd Identities (Symmetry Rules)

E. Cofunction Identities

F. Basic Trig Proof Example

23. Double/Half/Sum/Difference Proofs-

A. Sum and Difference Identities

B. Double-Angle Identities

C. Half-Angle Identities

24. Solve Trig Equations-

A. Basic Trig Equations

B. Equations with Multiple Angles

C. Equations that Require Factoring

D. Using Identities to Solve

E. Solving in Radians

25. Laws of Sines and Cosines-

A. Law of Sines

B. Law of Cosines

C. The Ambiguous Case (SSA)

D. Solving Triangles Completely

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