UCLA Department of Mathematics Math 1 General Course Outline (Pre-Calculus)
A.7 Describe and correct Algebra of Calculus
Errors and the Algebra of Calculus
Top Algebra Errors Made by Calculus Students
Chapter 1 Functions and Their Graphs
Find a data set that corresponds each type of basic function.
1.1 Coordinates
1.2 Graphs of Equations
1.3 Linear Equations in Two Variables
Computer Lab Class Period E 2018
Postseason Projection Standings
Write Equation of Line in Point-Slope Form
Write the Equation of a Line Given Two Points
Find the Equation of a Line Given 2 Points
Linear Regression and Best Fit Line
1.4 Functions
Function Machine (9/3/2019)
Representing Functions and Relations
1.5 Analyzing Graphs of Functions
Real Numbers, Relations, and Functions (9/3/2019)
1.6 A Library of Parent Functions
Intro to Function Symmetry Khan Academy
Graphs of 8 Basic Types of Functions
Graphing Absolute Value Functions
Graphing Absolute Value Functions
1.2 Introduction to Parent Functions
Equation Grapher PHET
1.7 Transformations of Functions
Function Transformation / Translations
Vertical and Horizontal Shifts of Quadratic Graphs
Shifting, Stretching and Reflecting Parent Functions
Function Notation: Even or Odd
Transformations of Sine and Cosine Graphs
Function/Graph Transformation Quiz Review
Working with Transformations and Functions
10/25 10/26 Pre-Calculus Class
1.8 Composite Functions
Composite Functions Powerpoint
1.9 Inverse Functions
Inverse Functions Powerpoint <--- Read the powerpoint. Take notes.
Inverse Functions <---Take notes on the section Writing The Inverse.
17Calculus Inverse Functions <--- Read. Complete 4 problems at bottom of page. Check your answers. Write down score.
Drill - Finding Inverse Functions <--- Complete any SIX problems. Check your answers. Write down score.
PreCalculus students, please follow instructions in red.
1.10 Mathematical Modeling and Variation
PreCalc 1.10 Mathematical Modeling and Variation Video
Chapter 2 Polynomials
2.1 Polynomial Functions
Real World Examples of Quadratic Equations
Solving and Using Quadratic Equations
2.2 Polynomial Functions
Cubic Equations In The Real World
Sketching Graphs The Cubic Graphs
Determining the Maximum and the Minimum Values of a Quadratic Function
Calculus 1 Notes - Tangent Lines
2.3 Dividing Polynomials
Synthetic Division (11/19)
Divide Two Polynomials Calculator
2.4 Complex Numbers
Imaginary (complex) Numbers (Everyone)
Complex or Imaginary Numbers (Everyone)
Application of Imaginary Numbers
Complex Conjugates (Everyone)
Imaginary Numbers are Real Part 1 (Seniors, Addy, Avery)
Imaginary Numbers are Real Part 2
Complex Numbers Operations Calculator
2.5 Zeros of Polynomial Functions
Zeros of Polynomial Functions Powerpoint (
The Fundamental Theorem of Algebra
What Is The Fundamental Theorem of Algebra
R Z T and Synthetic Division to Find All Zeros
Synthetic Division of Polynomials Polynomial Roots Calculator
PreCalculus 12 Polynomial Quiz K
2.6 Rational Functions
Horizontal and Vertical Asymptotes
How To Find Horizontal Asymptotes
Chapter 3 Logarithmic Equations
3.1 Exponential Functions and Their Graphs
Exponential Functions and their Graphs
An Introduction to Exponential Functions Video
3.2 Natural Logs
Logarithms: The Early History of a Familiar Function
Exploring Exponential Functions
Solving Exponential Functions Video
The Inverse of the Exponential Function: Logarithms
Logarithms...How? (take notes) 11/19
Exponential and Logarithmic Graphs
3.3 Properties of Logarithms
Calculus I: Notes Logarithms Functions
Exponential and Logarithmic Functions Powerpoint 1/24 1/25
3.4 Exponential and Logarithmic Equations
Exponential and Logarithmic Functions Powerpoint
3.5 Exponential and Logarithmic Models
Exponents and Logarithmic: Applications and Calculus
Chapter 3 Review
Exponential and Logarithmic Functions Quizzes
Second Semester
Chapter 4 - Trigonometry
4.1 Radian and Degree Measure
Converting a Negative Angle in Degrees to Radians Video
Latitude and Longitude Explained with DMS (Minute 21)
Converting Degrees, Radians and DMS
4.2 Trigonometric Functions: The Unit Circle
Special Right Triangles Worksheet
Trigonometric Functions: The Unit Circle Notes
How To Remember The Unit Circle Video
The Unit Circle Explained Video
Wyzant Resources The Unit Circle Explained and Quiz
Unit Circle Game (review practice)
Angles of the Unit Circle Quiz (review practice)
4.3 Right Triangle Trigonometry
Sine and Cosine of Complementary Angles Video
Right Triangle Trigonometry Presentation
1. How to find the six trigonometric functions given a right triangle Video
2. How to find the five trigonometric functions given one function Video
3. How to find trigonometric functions given function values & trigonometric identities Video
4. How to simplify and prove trigonometric equations Video
Trigonometry - Find The Height of a Mountain
Trigonometry - Finding the Height of a Building
4.4 Trigonometric Functions of Any Angle
Trigonometric Functions of Any Angle Presentation
4.5 Graphs of Sine and Cosine Functions
Trigonometric Functions History
How To Learn Trigonometry Intuitively
Intuitive Understanding of Sine Waves
Graphing Sine and Cosine With Phase Shifts Example 1
Graphing Sine and Cosine With Phase Shifts Example 2
Watch the Video on how to find the amplitude, period and shifts of a sine and cosine functions
The Transformations of the Sine and Cosine Graph (shown in class 2/18)
Analytical Trigonometry Quiz (review quiz)
4.6 Graphs of other Trigonometric Functions
Graphing Trigonometric Functions
4.7 Inverse Trigonometric Functions
Evaluate Inverse Trigonometric Functions
Pre Calculus A Class
4.8 Applications and Models
Applications of Sine and Cosine
Trigonometry - Find The Height of a Mountain
Chapter 4 Review
Trig Review Functions Game (shown in class 2/18)
Honors PreCalculus Trigonometry Test #2 Review K
Chapter 4 Test
Chapter 5 Analytical Trigonometry
5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
PreCalculus Trigonometry Prove Identity
Proving Trigonometric Identities
Fundamental Trigonometric Identities
5.3 Solving Trigonometric Equations
Solving Trigonometric Equations
5.3 instructions for Monday
5.3 Instructions for Wednesday after quiz
5.4 Sum and Difference Formulas
Sum and Difference Formulas Part 1
Sum and Difference Formulas Part 2
Sin, Cos and Tan of Sum and Difference of Two Angles
5.5 Multiple Angle and Product-to-Sum Formulas
Double Angle Formulas (check answers for 5.5 station) (3/30/20)
Multiple-Angle and Product-To-Sum Formulas Powerpoint
Half Angle Formulas (check answers for 5.5 station)
Power Reducing Formulas for Sine and Cosine
Chapter 6 Additional Topics in Trigonometry
6.1 Law of Sines
Symbolab Law of Sines Calculator
6.2 Law of Cosines
Law of Sines / Law of Cosines K
Law of Sines / Law of Cosines K2
Chapter 7 System of Equations and Inequalities
7.1 Systems of Equations and Inequalities
7.2 Two-Variable Linear Systems
Systems of Equations Jeopardy (write 10 problems)
Applied Practice with System of Linear Equations
System of Equations Word Problems
System of Equations Word Problems Kuta Software
stop
stop
stop
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Chapter 4 - Trigonometry
4.1 Radian and Degree Measure
Radian and Degree Measure Powerpoint
Converting a Negative Angle in Degrees to Radians Video
Calculating Distance with Latitude Video
Finding Distance Based On Latitude and Longitude Calculator
DD to DM, DMS to DD Explanation
DD to DMS, DMS to DD Calculator
Latitude and Longitude Explained with DMS (Minute 21)
Finding Distance Between Two Cities
Converting Degrees, Radians and DMS (review practice)
4.2 Trigonometric Functions: The Unit Circle
Special Right Triangles Worksheet
Trigonometric Functions: The Unit Circle Notes
Trigonometric Functions: The Unit Circle Presentation
How To Remember The Unit Circle Video
The Unit Circle Explained Video
Angles of the Unit Circle Race
Wyzant Resources The Unit Circle Explained and Quiz
Unit Circle Game (review practice)
Angles of the Unit Circle Quiz (review practice)
4.3 Right Triangle Trigonometry
Sine and Cosine of Complementary Angles Video
Right Triangle Trigonometry Presentation
1. How to find the six trigonometric functions given a right triangle Video (Juniors)
2. How to find the five trigonometric functions given one function Video (Juniors)
3. How to find trigonometric functions given function values & trigonometric identities Video (Juniors)
4. How to simplify and prove trigonometric equations Video (Juniors)
Trigonometry - Find The Height of a Mountain
Trigonometry - Finding the Height of a Building
4.4 Trigonometric Functions of Any Angle
Trigonometric Functions of Any Angle Presentation
4.5 Graphs of Sine and Cosine Functions
Trigonometric Functions History
Graphs of Sine and Cosine Functions Powerpoint
How To Learn Trigonometry Intuitively
Intuitive Understanding of Sine Waves
Graphing Sine and Cosine With Phase Shifts Example 1
Graphing Sine and Cosine With Phase Shifts Example 2
Watch the Video on how to find the amplitude, period and shifts of a sine and cosine functions
The Transformations of the Sine and Cosine Graph
4.6 Graphs of other Trigonometric Functions
Graphing Trigonometric Functions
4.7 Inverse Trigonometric Functions
Evaluate Inverse Trigonometric Functions
Pre Calculus A Class
4.8 Applications and Models
Applications of Sine and Cosine
Trigonometry - Find The Height of a Mountain
Chapter 4 Review
Honors PreCalculus Trigonometry Test #2 Review K
Chapter 5
5.1 Using Fundamental Identities
Analytical Trigonometry Quiz (STATION 5.1)
5.2 Verifying Trigonometric Identities
PreCalculus Trigonometry Prove Identity
Proving Trigonometric Identities
Fundamental Trigonometric Identities (check answers for 5.2 Station)
5.3 Solving Trigonometric Equations
Solving Trigonometric Equations
5.4 Sum and Difference Formulas
Sum and Difference Formulas Part 1
Sum and Difference Formulas Part 2
Sin, Cos and Tan of Sum and Difference of Two Angles (check answers for 5.4 station)
5.5 Multiple Angle and Product-to-Sum Formulas
Multiple-Angle and Product-To-Sum Formulas Powerpoint (Here Period A!)
Double Angle Formulas (check answers for 5.5 station)
Half Angle Formulas (check answers for 5.5 station)
Power Reducing Formulas for Sine and Cosine
Chapter 6 Additional Topics in Trigonometry
6.1 Law of Sines
Symbolab Law of Sines Calculator
6.2 Law of Cosines
Law of Sines / Law of Cosines K
Chapter 7 System of Equations and Inequalities
7.1 Systems of Equations and Inequalities
7.2 Two-Variable Linear Systems
Systems of Equations Jeopardy (write 10 problems)
Applied Practice with System of Linear Equations
System of Equations Word Problems
System of Equations Word Problems Kuta Software
missing class
chapter 8 missing class work substitute