Mrs. Snow's Math

McNeil High School

Pre Calculus

 

Notes are intended to compliment the current text in use at McNeil High School

 

Precalculus, Enhanced with Graphing Utilities , Texas Edition

By Michael Sullivan and Michael Sullivan, III

 

Fundamentals

Algebra II Review
Annotated Notes
 

 

 

Chapter 2:  Functions and Their Graphs

Lesson 2.1 and Lesson 2.2 Functions and 2.2 The Graph of a Function

Annotated Notes 2.1 and 2.2

 

Lesson 2.3 and Lesson 2.4 Properties of Functions and 2.4  Library of Functions; Piecewise-defined Functions

Annotated Notes 2.3 and 2.4

 

Lesson 2.5  Graphing Techniques:  Transformations

2.5 Annotated In-class Activity

Annotated Notes 2.5

2.5 Worksheet Homework

 

Chapter 2 Review

Chapter 2 Review Solutions corrected!

 

Chapter 4:  Polynomial and Rational Functions

Lesson 4.1 Polynomial Functions and Models

Annotated Notes

 

Lesson 4.2 The Real Zeros of a Polynomial Function

Annotated Notes (includes 4.2 and 4.3) 

Lesson 4.3 Complex Zeros; Fundamental Theorem of Algebra

 

Lesson 4.4 Properties of Rational Functions

Annotated Notes 4.4 and 4.5 Corrected!

Lesson 4.5 The Graphs of a Rational Function

 

Lesson 4.6 Polynomial and Rational Inequalities

Annotated Notes

Chapter 4 Review 2015

Solutions 2015

 

Chapter 5

Lesson 5.1 Composite Functions

Lesson 5.2 One-to-One Functions, Inverse Functions

Annotated Notes 5.1 and 5.2

 

Chapter 6 Trigonometric Functions

Lesson 6.1 Angles and Their Measure

Annotated Notes

Lesson 6.2 Trigonometric Functions: Unit Circle Approach

Annotated Notes

2 Unit Circles  Practice Form

Lesson 6.3 Properties of the Trigonometric Functions

Annotated Notes

Test 6.1-6.3 Review

6.1-6.3 Review Solutions

 

Lesson 6.4 Graphs of the Sine and Cosine Functions

Annotated Notes

Worksheet 6.4 

Lesson 6.5 Graphs of the Tangent, Cotangent, Cosecant and Secant Functions (corrected)

Annotated Notes

Worksheet 6.5 

Lesson 6.6 Phase Shift

Annotated Notes

Worksheet 6.6 (revised) 

Test 6.1-6.6 Spiral Review

Solutions Chapter 6 Spiral Test Review

 

Chapter 7

Unit Circle Chart In Order

Lesson 7.1  The Inverse Sine, Cosine, and Tangent Functions

Annotated Notes

7.1 Extra Examples

Lesson 7.2 The Inverse Trigonometric Function, Continued

Annotated Notes

Lesson 7.3 Trigonometric Equations

Annotated Notes

Review 7.1-7.3

Solutions Review 7.1-7.3

 

Trigonometric Identities Reference Sheet 

Lesson 7.4 Trigonometric Identities

Annotated Notes

Worksheet Proofs Trig Identities

Lesson 7.5 Sum and Difference Formulas

Annotated Notes 

Lesson 7.6 Double-angle and Half-angle Formulas

Annotated Notes 

Chapter 7 Spiral Review

Solutions Spiral Review

 

Fall 2015 Final Exam Review

Solutions answers have not been checked for accuracy, if you have a conflict, remember you may be correct!

FINAL EXAM NOTE CARD GUIDELINE

 

 

SPRING SEMESTER  

 
Chapter 8
Lesson 8.1 Right Triangle Trigonometry; Applications
Annotated Notes
Lesson 8.2 The Law of Sines
Annotated Notes
Lesson 8.3 The Law of Cosines
Annotated Notes
Lesson 8.4 Area of a Triangle
Annotated Notes
Lesson 8.5 Simple Harmonic Motion
Annotated Notes
Chapter 8 Review
Chapter Review Solutions

Chapter 9
Lesson 9.1 Polar Coordinates
Annotated Notes
Lesson 9.2 Polar Equations and Graphs
Annotated Notes with extra limaçon examples
Polar Graph Paper
Lesson 9.4 Vectors
Annotated Notes
Lesson 9.5 The Dot Product
Annotated Notes
Chapter 8 and 9 Spiral Review
Review Solutions

Chapter 10
Lesson 1.5 Circles
Annotated Notes
Lesson 10.1 and 10.2 Conics and The Parabola
Annotated Notes
Lesson 10.3 The Ellipse
Annotated Notes
Lesson 10.4 The Hyperbola
Annotated Notes
Lesson 10.7 Plane Curves and Parametric Equations
Annotated Notes
Chapter 10 Review
Review Solutions

Chapter 5 and 11.5
Lesson5.3 Exponential Functions
Annotated Notes
Lesson 5.4 Logarithmic Functions
Annotated Notes
Lesson 5.5 Properties of Logarithms
Annotated Notes corrected!!
Lesson 5.6 Logarithmic and Exponential Equations
Annotated Notes
Lesson 5.7 Financial Models
Annotated Notes
Lesson 5.8 Exponential Growth and Decay Models
Annotated Notes
Lesson 11.5
Annotated Notes
Spiral Review Chapter 5.3-5.8, 11.5 and Chapter 10
Review Solutions

Chapter 12
Lesson 12.1 Sequences
Annotated Notes
Lesson 12.2 Arithmetic Sequences
Annotated Notes
Lesson 12.3 Geometric Sequences
Annotated Notes
Lesson12.4 Mathematical Induction
Annotated Notes
12.4 Homework Worksheet
Lesson 12.5 The Binomial Theorem
Annotated Notes
Review Chapter 12
Review Solutions

Chapter 14
Lesson 14.1 Finding Limits Using Tables and Graphs
Annotated Notes
14.1 Worksheet
Lesson 14.2 Algebra Techniques for Finding Limits
Annotated Notes
14.2 Worksheet
Lesson 14.3 The Tangent Problem:  The Derivative
Annotated Notes
14.3 Worksheet corrected
Lesson 14.4  Limits at Infinity
Annotated Notes
14.4 Worksheet
Lesson 14.5 The Area Problem:  The Integral
Annotated Notes
14.5 Worksheet
Spiral Review Chapter 14 and Chapter 12
Review Solutions

Intro to Calculus
Lesson on Derivatives
Lesson Notes on Derivatives
Product and Quotient Rules Worksheet
Chain Rule Worksheet
Lesson Notes on Chain Rule
Integrals Worksheet
Lesson Notes on Integrals

Spring Final Exam Review 2016
Review Solutions