Pre-Calculus-Version 2.1
Note: This page is outdated and not kept up, but there may be some useful stuff here.
Click here for the latest version of my Pre-Calculus course

Sem. 1: Algebra of Functions
Sem. 2: Trigonometry Functions & Equations
Jump to unit: 1 -2 -3 -4 -5 -6
Jump to Unit: 7 - 8 - 9 - 10

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Review Topics

Distance Formula -handout 1

Midpoint Formula -handout 1

Unit 1: Intro. to Functions & Graphs

Lesson

Handouts

Support Resources
Video files will play with the Quicktime plug-in.

1A: Number Sets

1B: Identifying Functions

Review 1: 1A-1C

1C: Increasing/ Decreasing Intervals

1D: Average Rate of Change

1E: Difference Quotient

Review 2: 1D/1E  

Unit 2: Linear and Quadratic Functions and Equations

Lesson

Handouts

Support Resources

2A: Combining and Modeling with Transformations

2B: Completing the Square and the Vertex Formula

2C: Quadratic Equations with Complex Solutions

 

Review 2A-2C

 

2D: Piecewise-Defined Functions

2E: Linear and Quadratic Regression and models  

Review 2D-2E

 

Unit 3: Nonlinear Functions & Equations (Learning Targets)

Lesson

Handouts

Support Resources

3A: Power Functions with models

 

3B: Graphing Polynomial Functions and modeling

3C: Polynomial Equations And the Fundamental Theorem of Algebra

3D: Rational Functions and Asymptotes

Unit 3 Review
 

Midterm Review: Units 1-3

Unit 4: Exponential, Logistic, and Logarithmic Functions (Learning Targets)

Lesson

Handouts

Support Resources

4A: Graphing Exponential and Logarithmic Functions

4B: Solving problems with Exponential & Logistic Functions

4C: Solving problems with Logarithmic Function

Unit 4 Review
 
Unit 5: Systems of Equations & Inequalities

Lesson

Handouts

Support Resources

5A: Systems of Equations in Two Variables

5B: Systems of Linear Equations in Three Variables

5C: Systems of Non-Linear Inequalities in Two Variables

Unit 5 Review
 
Unit 6: Conic Sections

Lesson

Handouts

Support Resources

6A: Conic Sections  

1st Semester Final Review: Units 1-6

Unit 7: Trigonometric Functions (Learning Targets)

Lesson

Handouts

Support Resources

7A: Angles and Radian Measure
7B: Trigonometry Functions and Angles
7C: The Unit Circle and the Circular Functions
7D: Law of Sines and Cosines
Unit 7 Review
 
Unit 8: Graphs of Trigonometric Functions (Learning Targets) - GPHS Class Lecture Videos Here

Lesson

Handouts

Support Resources

8A: Graphs of Sinusoids
8B: Graphs of the other Trigonometric Functions
8C: Composite Graphs of Trigonometric Functions  
8D: Graphing Inverse Trigonometric Functions.  
Unit 9: Analytic Trigonometry (Learning Targets)

Lesson

Handouts

Support Resources

9A: Fundamental Trigonometric Identities
9B: Proving Trigonometric Identities
9C: Angle Sum and Difference identities
9D: Multiple Angle Identities  
Unit 10: Vector, Parametric, and Polar Graphs

Lesson

Handouts

Support Resources

10A: Vectors in the Plane -Resultant Problem Example Video
(pg 512-#49)
10B: Dot Products of Vectors
10C: Parametric Equations and Motion
 
10D: Polar Coordinates and Graphs

2nd Semester Final Review: Units 7-10

Review Videos (Student and Teacher Videos)
(Videos require Quicktime Plugin)

 

 

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