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

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**

**Angular and Linear Velocity Worksheet**

**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 5.1-5.2 and 7.1-7.3
Review 7.1-7.3 Solutions **

*corrected 11/13/2017*😉

**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 5.1-2 and 7
Spiral Review Solutions
**

**Fall 2016 Final Exam Review
Fall 2016 Final Exam solutions
**

*FINAL EXAM NOTE CARD GUIDELINE
*

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 2017-2018 School Year**

**SPRING SEMESTER **

**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

Annotated Notes 8.2

**Lesson 8.3**The Law of Cosines

**Lesson 8.4**Area of a Triangle

**Trigonometry Applications Worksheet**

**Annotated Notes 8.3 and 8.4**

Review Chapter 8

Review Chapter 8

**Review Chapter 8 Solutions**(2018)

** Lesson 8.5 Simple Harmonic** Motion (presented in the fall with Chapter 6)

**Annotated Notes 8.5 are located with Chapter 6**

**Chapter 9
**

**Lesson 9.1 Polar Coordinates**

Annotated Notes 9.1

Annotated Notes 9.1

**Lesson 9.2 Polar Equations and Graphs**

Annotated Notes .9.2

Limacon Examples

Annotated Notes .9.2

Limacon Examples

**Polar Graph Paper**

**Lesson 9.4 Vectors**

Annotated Notes 9.4

9.4 Static Equilibrium Problem #19 example

Annotated Notes 9.4

9.4 Static Equilibrium Problem #19 example

**Lesson 9.5 The Dot Product**

Annotated Notes 9.5

Annotated Notes 9.5

**Spiral Ch 8 and 9 Review**

**Spiral Review Solutions**

*Chapter 10*

** Lesson 1.5** Circles

**Lesson 10.1 and 10.2 ** Conics and The Parabola

**Annotated Notes for 1.5, 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

**Annotated Notes 10.7**

**Review Chapter 10 **

**Review Chapter 10 Solutions **

*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 **

*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

Note Card For Precalculus Final

**Spring Final Exam Review**

Spring Final Review Solutions

Spring Final Review Solutions