Knight Math

Pre-Calculus (v2.1)

Teachers: Full previous versions of this course available here

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

Quick Links: Pre-Calculus Textook online - Odd Answers - MyOpenMath - GP Learning Targets - TI-93/84 help

A few Review Topics
Equation Sorting - Equation Review - Solutions	Distance Formula -handout	Midpoint Formula -handout

Unit 1: Intro. to Functions & Graphs
Lesson	Handouts Click here for all completed notes	Support Resources Click link for Quicktime , Or click on to stream on YouTube Class videos: Click Here
1A: Identifying Functions	1A - Notes: Identifying Functions Click here for Completed notes Assignment 1A - Assignment Help Video - 1A Solutions	Assignment Help Video
1B: Domain, Range, and Number Sets	1B Notes - Completed notes Assignment 1B - 1B Solutions	Domain and Range from an equation video Set Builder Video Interval Video Discontinuity video
1C: Piecewise Defined Functions	1C Notes: Piecewise functions - Completed Notes Assignment 1C - 1C Solutions	Piecewise Video
1D: Rates of Change and Graph Behavior	1D Notes: Rate of Change - Completed Notes Assignment 1D - 1D Solutions Function Skechpad	Average Rate of Change video - (video source 2-mp4) Using your TI-83/84 to find Minimums & Maximums (5:23)
Review	Review Handout Review Solutions

Unit 2: Linear and Quadratic Functions and Equations
Lesson	Handouts Click here for completed notes	Support Resources Click link to download, or for YouTube
2A: Combining and Modeling with Transformations	2A Notes handout Written Assignment 2A - Solutions	TI-Nspire Activity 2A Video Assignment (16 min. Watch and take notes on key concepts & examples)
2B: Linear and Quadratic Regression and models	2B Notes handout - Regression Written Assignment 2B - Solutions Quadratic Applications Written Assignment 2B-2 - Solutions	2B Video Assignment: Watch, and try on your TI-83/84 Kicking Parabolas
2C: Power Functions with models	2C Power Function Notes Assignment 2C -Solutions	2C Video Assignment: Handout and Video:
2D: Completing the Square and the Vertex Formula	2D Notes: Completing the Square & Vertex Form Assignment 2D - Solutions (Using Method 1) - Solutions (Using Method 2)	Angry Bird Parabolas activity - GSP 2D Lesson Video: Part1 - Vertex Form defined Part 2 - Completing the Square Part 3 - Converting into Vertex Form Vertex Form Example video (This is an alternate method) Axis of Symmetry from Standard Form.
Unit 2 Review	Review Handout Review Solutions

Unit 3: Nonlinear Functions & Equations (Learning Targets)

Lesson

Handouts
Click here for completed notes & class videos

Support Resources
Click link to download, or
for YouTube

3A: Quadratic Equations with Complex Solutions

3A- Quadratic Equations (with assignment on last page)
Assignment 3A Solutions

3A Activity Page
- Reviewing Quad. Equations

3B: Graphing Polynomial Functions and modeling

3B-Graphing Polynomials Handout with Assignment
3B Assignment
- 3B Assignment Solutions
3B.2- Applying Polynomials handout
- 3B.2 Assignment Solutions

Video Notes Assignment:

Other examples

3C: Polynomial Equations And the Fundamental Theorem of Algebra

Video Notes Assignment:

3C Handout
3C Video:
(handout companion video)

Fundamental theorem of Algebra Example Video

3D: Rational Functions and Asymptotes

3D Handout
-3D Solutions

Video Notes Assignment:

3D Handout (Read through pg. 1, then watch video and fill in pg. 2. You don't need to do the last 3 pages, we'll do them in class.)
3D video: Graphing Rational Function video

Unit 3Review

Unit 4: Exponential and Logarithmic Functions (Learning Targets)

Lesson

Handouts
Click here for completed notes

Support Resources
Click link to download, or
for YouTube

4A: Graphing Exponential Functions

4A Handout
4A Assignment
- Solutions (an older version, but the answers are there.)
Exploring Exponentials with TI-Nspire

4A Videos (handout companion)
- Part 1: Exponential Functions (16:12)
- Part 2: Exponential Equations (12:05)
Graphing Exponential Functions video
(handout companion video)

4B: Graphing Logarithmic Functions

4 B Video Notes Assignment:

4C: Solving Exponential Equations

4C Handout
- Solutions

4 C Video Notes Assignment:

4C Handout (video corresponds to pages 3-5)
Solving Exponential Equations with Log Properties video

4D: Solving Logarithmic Equations

4-D Handout
4-D Assignment
- Solutions
- Herei s a video of Problems 13-15 worked out

4 D Video Notes Assignment:

Unit 4 Review

Unit 5: Systems of Equations & Inequalities

Lesson

Handouts
Click here for completed notes

Support Resources
Click link to download, or
for YouTube

5A: Systems of Equations in Two Variables

5A-1: Solving Systems with 2 variables
5A-1 Assignment
- Solutions
5A-2: Solving Systems of linear equations with Matrices
- Solutions
- Completed Class Notes

5A-1 Video Notes Assignment:

5A1 Handout
Video Stream:
of download: Solving Systems Video

5A-2 Video:

5A-2 Solving Systems with Matrices Video:
(Matrix method starts at 8:35)
- local (72.5Mb)

5B: Systems of Linear Equations in Three Variables

5B: 3-variable Systems of Equations Handout
- Solutions

5B Video Notes Assignment:

5B Handout
Video Stream:
of download:3-Variable Systems Video

TI Nspire - Intersecting Planes
TI-Nspire - 3 planes

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

5C: 2-variable Systems of Inequalities Handout
- Solutions

5C-2: Linear Programming

Unit 5 Review

Unit 6: Conic Sections
Lesson	Handouts Click here for completed notes	Support Resources
6A: Conic Sections	Handout 1: Stretching Circles - Solutions Handout 2: More Ellipses - Solutions Handout 3: Hyperbolas	Graphing Ellipses: Class Example - Graphing Ellipses

1st Semester Final Review: Units 1-6