Precalculus

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

FALL SEMESTER

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
Lesson 2.3 and Lesson 2.4 Properties of Functions,   2.4  Piecewise and Greatest Integer Functions
Annotated Notes 2.3 and 2.4
Lesson 2.5  Graphing Techniques:  Transformations
Annotated Notes 2.5
In-class Transformation Practice
Annotated Transformation Practice
2.5 Homework Worksheet
Chapter 2 Review
Review Solutions (corrected 9/2017)


Chapter 4:  Polynomial and Rational Functions

Lesson 4.1 Polynomial Functions and Model
Annotated Notes
Lesson 4.2 The Real Zeros of a Polynomial Function
Lesson 4.3 Complex Zeros; Fundamental Theorem of Algebra
Annotated Notes 4.2 and 4.3
Lesson 4.4 Properties of Rational Functions
Lesson 4.5 The Graphs of a Rational Function
Annotated Notes 4.4 and 4.5
Lesson 4.6 Polynomial and Rational Inequalities
Annotated Notes 4.6
Chapter 4 Spiral Review
Spiral Review Solutions   corrected 9/21/2017 


Chapter 6 Trigonometric Functions

Lesson 6.1 and 6.2 Part 1 Angles and Their Measure, The Unit Circle
Annotated Notes 6.1 And 6.2 Part 1
Lesson 6.1 and 6.2 Part 2 Trigonometric Functions: Unit Circle Approach
Annotated Notes 6.1 and 6-2 Part2
2 Unit Circles  Practice Form
Lesson 6.3 Properties of the Trigonometric Functions
Annotated Notes
Review 6.1-6.3
Chapter 6.1-6.3 Review Solutions  

Unit Circle Chart – In Order
Lesson 6.4 Graphs of the Sine and Cosine Functions
Annotated Notes 6.4
Worksheet6.4
Lesson6.5 Graphs of the Tangent, Cotangent, Cosecant and Secant Functions
Annotated Notes 6.5

Worksheet 6.5
Lesson 6.6 Phase Shift
Annotated Notes 6.6
Worksheet 6.6
Lesson 8.5 Simple Harmonic Motion
Annotated Notes 8.5
Spiral Review 6.1-6.6, 8.5  
Spiral Review Solutions


Chapter 5

Lesson 5.1 Composite Functions
Lesson 5.2 One-to-One Functions, Inverse Functions
Annotated Notes 5.1 and 5.2


Chapter 7

Lesson 7.1  The Inverse Sine, Cosine, and Tangent Functions
7.1 Extra Examples
Lesson 7.2 The Inverse Trigonometric Function, Continued
Annotated Notes 7.1 and 7.2
Lesson 7.3 Trigonometric Equations
Annotated Notes 7.3
Review 7.1-7.3
Review 7.1-7.3 Solutions

Trigonometric Identities Reference Sheet
The first page will need to be memorized!
Lesson 7.4 Trigonometric Identities
Annotated Notes 7.4
Worksheet Proofs Trig Identities
Lesson 7.5 Sum and Difference Formulas
Annotated Notes 7.5
Lesson 7.6 Double-angle and Half-angle Formulas
Annotated Notes 7.6
Spiral Review Chapter 7
Spiral Review Solutions 

Fall 2016 Final Exam Review
Fall 2016 Final Exam solutions

FINAL EXAM NOTE CARD GUIDELINE


SPRING SEMESTER 

This link will take you to an excel spreadsheet that will allow you to take your averages for either fall or spring semester and see what you need for the grading period or final to pass class.  This is designed for the grading cycles at McNeil High School.
“WHAT IF…”GRADE CHECK for 2016-2017 School Year

Chapter 8
Lesson 8.1 Right Triangle Trigonometry; Applications
AnnotatedNotes8.1
Lesson 8.2 The Law of Sines
Lesson8.2 The Ambiguous Case Example
Annotated Notes 8.2

Lesson 8.3 The Law of Cosines
Lesson 8.4 Area of a Triangle
Law Of Sines and Cosines Worksheet
Annotated Notes 8.3 and 8.4
Review Chapter 8
 (2017)
Review Chapter 8 Solutions  (2017)

Lesson 8.5 Simple Harmonic Motion (presented in the fall with Chapter 6)
Annotated Notes8.5


Chapter 9
Lesson 9.1 Polar Coordinates
Annotated Notes 9.1

Lesson 9.2 Polar Equations and Graphs
Annotated Notes .9.2

Polar Graph Paper
Lesson 9.4 Vectors
Annotated Notes 9.4

Lesson 9.5 The Dot Product
Spiral Ch 8 and 9 Review 2017
Spiral Review Solutions


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

Review Chapter 10 (2017)
Review Chapter 10 Solutions (2017)


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


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

Solutions Review Ch 12


Chapter 14
Lesson 14.1 Finding Limits Using Tables and Graphs
Annotated Notes 14.1
14.1 Worksheet
Lesson 14.2 Algebra Techniques for Finding Limits
Annotated Notes 14.2
14.2 Worksheet
Lesson 14.3 The Tangent Problem:  The Derivative
Annotated Notes 14.3
14.3 Worksheet
Lesson 14.4  Limits at Infinity
Annotated Notes 14.4
14.4 Worksheet
Lesson 14.5 The Area Problem:  The Integral
Annotated Notes 14.5
14.5 Worksheet
Spiral Review Chapter 14 and Chapter 12 – 2017
Review Ch 12 and 14 Solutions


Intro to Calculus
Lesson on Derivatives
Annotated Notes Derivatives
Chain Rule Notes
Integral Notes

Product and Quotient Rules Worksheet
Chain Rule Worksheet
Integrals Worksheet

Note Card For Precalculus Final

Spring Final Exam Review
Spring Final Review Solutions