Math 120 - Precalculus - Dr. Loveless Review Materials

• Dr. Loveless Problem-Solving Routine
• Useful Formulas (Appendix A of Textbook)
  
• Precalculus Toolbox
  
• A Quadratic Skills Practice Sheet
  
• Fraction Bootcamp - A collection of five very short videos to check your skills:
  • Fraction Bootcamp (pt1): Rearranging Multiplication and Cancelling
  • Fraction Bootcamp (pt2): Distribution
  • Fraction Bootcamp (pt3): Stop your Flippin' Rules
  • Fraction Bootcamp (pt4): Number Sense and Factors
  • Fraction Bootcamp (pt5): Adding Fractions
• Algebra Bootcamp - A collection of four short videos to check your skills:
  • Algebra Bootcamp (pt1): Linear Equations
  • Algebra Bootcamp (pt2): Monkey Faces and Special Products
  • Algebra Bootcamp (pt3): Inverse Pairs and Roots
  • Algebra Bootcamp (pt4): Quadratic Solving - practical tips
  • Solving Essentials - Full Inverse Pairs Discussion

Lecture Materials:

• Ch. 1 - Rates and Unit Conversion - Lecture Outline: pdf | doc
  • Ch. 1 Intro
  • Rates/Conversion Lecture Snippet
  • "Given-and-Want" Method and Sarah Measures a Loop
  • "Labeling Unknowns" Method and Weird Pizza Slices
  • Arithmetic Note - Simplifying Fractions inside Fractions
• Ch. 2 - Imposing Coordinates and Distance - Lecture outline: pdf
  • Imposing Coordinates - Erik's Disabled Sailboat Animation
  • Bungee Animation | Desmos
  • Distance Between Moving Cars Animation
  • Labeling in terms of time
• Ch. 3 - Horizontal/Vertical Lines and Circles - Lecture outline: pdf | doc
• Ch. 4 - Linear Modeling - Lecture outline: pdf | doc
  • Do you really understand what the equation tell us?
  • Drawing Lines, Finding Intersections and Triangle Areas
  • Principle of Three Examples & Lines with Unknown Constants
  • What does it mean in a formula if I am 25 years older than you?
  • Speed, Labeling and Distance Skill Recap (more with Bungees)

Review Sheets:

• Ch 1 & 2 Review Sheet
• Ch 3 Review Sheet
• Ch 4 Review Sheet

Test Preps:

• Ch 1-2 Intro Test Prep - Video
• Algebra Test Prep - Video
• Ch 3 Test Prep

Lecture Notes:

• Ch. 5 - Functions and Notation - Lecture outline: pdf | doc
  • Difference Quotients & the Song "Hey Jude"
  • Algebra Skill: Conjugates and Radicals
• Ch. 6 - Graphs and Multipart Functions - Lecture outline: pdf | doc
  • The Absolute Value
• Ch. 7 part 1 - Quadratic Functions Mechanics - Lecture outline: pdf | doc
  • Hot Air Balloons | Desmos
  • Solving 3x3 Systems - Take it & Shove it
• Ch. 7 part 2 - Quadratic Optimization - Lecture outline: pdf | doc
  • Working with "pi" in an equation
  • Minimum Distance Example

Review Sheets:

• Ch 5 Review Sheet
• Ch 6 Review Sheet
• Ch 7 Quadratic Skills Practice
  
• Ch 7 Quadratic Optimization Review

Test Preps:

• Ch 5-6 Test Prep | doc
• Ch 6-7 Test Prep | doc

Lecture Notes:

• Exam 1 Review Lecture Outline: pdf | doc

Review Sheets:

• Suggested Problem-Solving Routine
• Exam 1 Review Sheet (Ch 1-7)
• Exam 1 Examples by Topic

Topic Review Videos:

• Topic 1: Linear Modeling Review
• Topic 2: Speed, Dist & Parametric Motion
• Topic 3: Circles, Lines & Intersections
• Topic 4: Functional Notation & Algebra
• Topic 5: Labeling Graphs & Multipart Functions
• Topic 6a: Quadratic Modeling - Mechanics
• Topic 6b: Quadratic Modeling - Optimization

Lecture Notes:

• Ch. 8 - Composition - Lecture outline: pdf | doc
  • Domain, Range, and Composition
  • Videos on Multipart composition:
    • Loveless Lines of Reasoning (part 1)
    • Loveless Lines of Reasoning (part 2)
• Ch. 9 - Inverse Functions - pdf | doc
  • Domain, Range, and Inverses
  • Analyzing a Water Trough | Desmos

Review Sheets:

• Ch 8 Review Sheet
• Ch 9 Review Sheet

Test Preps:

• Ch 8-9 Test Prep | doc

Lecture Notes:

• Ch. 10 - Exponential Models Intro - pdf | doc
  • Chuck Norris Teaching Exponential Modeling
• Ch. 11 - y = e^x and a modeling review - pdf | doc
  • History of the Symbol "e"
  • Hanging cable - general modeling skills
  • The Catenary
  • What are cosh(x) and sinh(x)
• Ch. 12 - Logarithms - pdf | doc
  • Solving Essentials - Full Recap of Inverse Pairs
  • Solving Examples (part 1)
  • Solving Examples (part 2)
  • Solving Challenge

Review Sheets:

• Ch 10-11 Review Sheet
• Ch 12 Review Sheet

Test Preps:

• Ch 10 Test Prep | doc
• Ch 10-12 Solving (pdf) | doc
• Ch 12 Test Prep (pdf) | doc

Lecture Notes:

• Ch. 13 - Shifting, Dilating, Reflecting - pdf | doc
  • Shifting, Dilating, Reflecting Homework Ideas Discussion
  • Shifting, Dilating, Reflecting More Examples | Desmos
  • Shifting, Dilating, Reflecting A Picture of my Cat | Desmos
  • Shifting in Desmos and Using it to Animate | Desmos
• Ch. 14 - Rational Functions - pdf | doc
  • Full Detailed Solving Example
  • Homework Ideas Discussion

Review Sheets:

• Ch 13 Review Sheet
• Ch 14 Review Sheet

Test Preps:

• Ch 14 Test Prep | doc

Lecture Notes:

• Ch. 15 - Measuring Angles - pdf | doc
  • Homework Ideas Discussion
  • Matilda's Wedge Park
  • Just for Fun and Background
  • Animation: What are radians? | Desmos
  • Animation: Why area is pi r^2? | Desmos
  • History of Pi
  • Compilation of Bad Approximations of Pi
  • Proof of Area of a Circle
  • Approximating Pi with a Stop Sign
• Ch. 16 - Measuring Circular Motion - pdf | doc

Review Sheets:

• Ch 15 Review Sheet
• Ch 16 Review Sheet

Test Preps: (coming soon)

Review Sheets

• Exam 2 Quick Review Sheet
• Exam 2 Detailed Review Sheet

Practice Exams Compiled by Dr. Loveless: For solutions see Exam Archive

• Practice Exam 1 (Loveless F09 and Ostroff Sp22)
• Practice Exam 2 (Ostroff Sp24 and Conroy Sp18)
• Practice Exam 3 (Ostroff W18 and Conroy W17)
• Practice Exam 4 (Ostroff F16 and Loveless F08)
• Practice Exam 5 (Loveless F08/09 and Conroy W10)
• Practice Exam 6: (Problems directly from homework)

Lecture Notes:

• Ch. 17 Circular Functions and Trig - pdf | doc

Review Sheets: (coming soon)

Test Preps: (coming soon)