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
MATHXL FOR SCHOOL – where to find it on line and where are all the assignments!
Algebra II Review
Annotated Notes
Chapter 2: Functions and Their Graphs
All assignments are due at the start of the next class period. The first assignments of this school year will be completed on paper:
Current assignments are currently not available on Mathxl, the precalculus online homework program. For full credit, use separate paper: please write your full name, class period, and identify the assignment with chapter.section number. Write out each problem, show all work and circle the answer.
Lesson 2.1 and Lesson 2.2 Functions and 2.2 The Graph of a Function
Mathxl Homework 2.1 and 2.2
Solutions 2.1 2.2
Mathxl -Textbook Homework 2.3 and 2.4
Solutions Textbook 2.3 and 2.4
Mathxl – Textbook Homework 2.5
Solutions 2.5
Annotated Notes
Video Lesson 2.1 and 2.2
Lesson 2.3 and Lesson 2.4 Properties of Functions, 2.4 Piecewise and Greatest Integer Functions
Annotated Notes 2.3 and 2.4
Video Lesson 2.3 and 2.4
Lesson 2.5 Graphing Techniques: Transformations
Annotated Notes 2.5
Video Lesson 2.5
In-class Transformation Practice
Annotated Transformation Practicemrssnowsmath.com/…/chapter2review.2023r.pdf
2.5 Homework Worksheet
Chapter 2 Review
Review Solutions
Chapter 4: Polynomial and Rational Functions
Lesson 4.1 Polynomial Functions and Model
Annotated Notes
Video Lesson 4.1
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
Video Lesson 4.2 and 4.3
Lesson 4.4 and Lesson 4.5 4.4 Properties of Rational Functions and.4.5 The Graphs of a Rational Function
Annotated Notes 4.4 and 4.5
Video Lesson 4.4 and 4.5
Lesson 4.6 Polynomial and Rational Inequalities
Annotated Notes 4.6
Video Lesson 4.6
Chapter 4 Spiral Ch 2 Review Updated 9/2023
Spiral Review Solutions
Chapter 6 Trigonometric Functions
Quizlet Links:
Sine, Cosine, and Tangent Radian Values Practice with radians from the unit circle; flashcards and more
Unit Circle practice page 2 unit circles for drill practice
Lesson 6.1 and 6.2 Part 1 Angles and Their Measure, The Unit Circle
Annotated Notes 6.1 And 6.2 Part 1
Video Lesson 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
Video Lesson 6.1 and 6.2 part 2
2 Unit Circles Practice Form
Lesson 6.3 Properties of the Trigonometric Functions
Annotated Notes
Video Lesson 6.3
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
Video Lesson 6.4
Worksheet6.4
Lesson 6.5 Graphs of Secant and Cosecant Functions
Annotated Notes 6.5 Part 1
Lesson 6.5 Graphs of Tangent and Cotangent Functions
Annotated Notes 6.5 Part 2
Worksheet 6.5 Worksheet for: secant, Cosecant, Tangent and Cotangent Functions
Video Lesson 6.5 this covers both part 1 and part 2: Secant, Cosecant, Tangent and Cotangent Functions
Lesson 6.6 Phase Shift
Annotated Notes 6.6
Video Lesson 6.6
Worksheet 6.6
Lesson 8.5 Simple Harmonic Motion
Annotated Notes 8.5
Video Lesson 8.5
“The Ferris Wheel Problem” Video showing Simple Harmonic Motion
Spiral Review 6.1-6.6, 8.5
Spiral Review Solutions
Chapter 5
Lesson 5.1 and Lesson 5.2 Composite Functions and One-to-One Functions, Inverse Functions
Annotated Notes 5.1 and 5.2
Video Lesson 5.1 and 5.2
Chapter 7
Lesson 7.1 and 7.2 The Inverse Sine, Cosine, and Tangent Functions and The Inverse Trigonometric Function, Continued 7.1 and 7.2
Annotated Notes
Video Lesson
7.1 Extra Examples
Lesson 7.3 Trigonometric Equations
Annotated Notes 7.3
Video Lesson 7.3
Review 5.1-5.2 and 7.1-7.3
Review 7.1-7.3 Solutions (revised 11/2/2019)
Unit Circle Sine, Cosine and Tangent values – Quizlet link to a quizlet that has flash cards
for our unit circle values. The “Learn” link will quiz you with the flash cards out of order.
Trigonometric Identities Reference Sheet
The first page will need to be memorized!
Lesson 7.4 Trigonometric Identities
Annotated Notes 7.4
Video Lesson 7.4
Worksheet Proofs Trig Identities fall 2022 we are only doing the odd problems. The even are available for additional practice
Lesson 7.5 Sum and Difference Formulas
Annotated Notes 7.5
Video Lesson 7.5
Lesson 7.6 Double-angle and Half-angle Formulas
Annotated Notes 7.6
Video Lesson 7.6
Review Spiral 5.1-2, 7.1-3 7.4-7.5
Review Answers Corrected!
Chapter 10
Lesson 10.1 and 10.2 Conics and the Parabola
Annotated Notes 10.1 and 10.2
Video Lesson 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
Fall Final Exam Review
Fall Final Exam solutions
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 Fall and Spring Semesters
SPRING SEMESTER
Chapter 8
Lesson 8.1 Right Triangle Trigonometry; Applications
Annotated Notes 8.1
Video 8.1
Trigonometry Applications Worksheet
Lesson 8.2 The Law of Sines
Lesson 8.2 The Ambiguous Case Example
Annotated Notes 8.2
Video 8.2
Lesson 8.3 The Law of Cosines
Lesson 8.4 Area of a Triangle
Annotated Notes 8.3 and 8.4
Video 8.3 and 8.4
Review Chapter 8
Review Chapter Solutions
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
Video Lesson 9.1
Lesson 9.2 Polar Equations and Graphs
Annotated Notes .9.2
Video Lesson 9.2
Limacon Examples
Polar Graph Paper
Lesson 9.4 Vectors
Video Lesson 9.4
Annotated Notes 9.4
9.4 Static Equilibrium Problem #19 example
Lesson 9.5 The Dot Product
Annotated Notes 9.5
Video Lesson 9.5
Spiral Ch 8 and 9 Review
Spiral Review Solutions
Chapter 5 and 11.5
Lesson5.3 Exponential Functions
Annotated Notes 5.3 and corrected
Video Lesson 5.3
Lesson 5.4 Logarithmic Functions and
Lesson 5.5 Properties of Logarithms
Annotated Notes 5.4 and 5.5
Video Lesson 5.4
Video Lesson 5.5
Lesson 5.6 Logarithmic and Exponential Equations
Annotated Notes 5.6
Video Lesson 5.6
Lesson 5.7 and Lesson 5.8 Financial Models and Exponential Growth and Decay Models
Annotated Notes 5.7 and 5.8
Video Lesson 5.7
Video Lesson 5.8
Chapter 5 Review
Review Solutions Chapter 5
Extra Lessons 11.5 and Rational Expressions
Addition and Subtraction of Rational Expressions
Annotated Notes
Video Lesson Addition and Subtraction of Rational Expressions
Multiplication and Division of Rational Expressions
Annotated Notes
Video Lesson Multiplication and Division of Rational Expressions
Lesson 11.5 Partial Fraction Decomposition
Annotated Notes 11.5
Video Lesson 11.5https://www.youtube.com/watch?v=8lSCAY15BdQ
Chapter 12
Lesson 12.1 Sequences
Annotated Notes 12.1
Video Lesson
Lesson 12.2 Arithmetic Sequences
Annotated Notes 12.2
Video Lesson
Lesson 12.3 Geometric Sequences
Lesson 12.3 Lecture Notes modified for voice over lecture
Annotated Notes 12.3
Video Lesson
Lesson 12.4 Mathematical Induction
Lesson 12.4 Lecture Notes modified for voice over lecture
Annotated Notes 12.4
Video Lesson
12.4 Homework Worksheet
Lesson 12.5 The Binomial Theorem
Lesson 12.5 Lecture Notes modified for voice over lecture
Annotated Notes 12.5
Video Lesson
Review Chapter 12
Solutions Review Ch 12 and 11.5 if you want credit for the review, make sure you show your work, copying these answers will result in a 0%
Chapter 14 – A Preview of Calculus
Lesson 14.1 Finding Limits Using Tables and Graphs
Annotated Notes 14.1
* Video Lecture 14.1
14.1 Worksheet
Lesson 14.2 Algebra Techniques for Finding Limits
* Video Lecture 14.2
Annotated Notes 14.2
14.2 Worksheet
Lesson 14.3 The Tangent Problem: The Derivative
Annotated Notes 14.3
* Video Lecture 14.3
14.3 Worksheet
Helpful videos for visualizing secant lines morphing into a tangent line:
The Tangent Line and the Derivative an 11 minute video, all is very good, the definition by derivative starts at 4 minutes.
Applet: Ordinary Derivative by Limit Definition as an interactive applet to let the student see as the distance between points goes to zero, the secant line becomes the tangent line.
Lesson 14.4 Limits at Infinity
Annotated Notes 14.4
14.4 Worksheet
* Video Lecture 14.4
Lesson 14.5 The Area Problem: The Integral
Annotated Notes 14.5
14.5 Worksheet
* Video Lecture 14.5
Solutions to Chapter 14 practice problems
14.3, problem #7: correct answer is f'(x)=-5
Spiral Review Chapter 14 and Chapter 12 -remember, no work no credit!!
Review Ch 12 and 14 Solutions
Note Card For Precalculus Final
All students, whether exempting the final exam or not, are required to complete the Final Exam Review. Work must be shown for credit.
Spring Final Exam Review
Spring Final Review Solutions
Other Notes
Intro to Calculus
Lesson on Derivatives and Integration
Annotated Notes Derivatives
Worksheet #1 – Product and Quotient Rules
Worksheet #2 – Chain Rule
Chain Rule Notes
Worksheet #3 – Integrals
Integral Notes
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 2020-2021 School Year