Algebra and Trigonometry

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P: Prerequisites: Fundamental Concepts of Algebra I

P.1: Algebraic Expressions, Mathematical Models, and Real Numbers

Addition of Polynomials - Activity A

P.2: Exponents and Scientific Notation

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

P.3: Radicals and Rational Exponents

Operations with Radical Expressions
Simplifying Radicals - Activity A

P.5: Factoring Polynomials

Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c

1: Equations and Inequalities

1.2: Linear Equations and Rational Equations

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

1.3: Models and Applications

Solving Formulas for any Variable

1.5: Quadratic Equations

Roots of a Quadratic

1.6: Other Types of Equations

Polynomials and Linear Factors

1.7: Linear inequalities and Absolute-Value Inequalities

Compound Inequalities
Inequalities Involving Absolute Values
Solving Inequalities Using Multiplication and Division
Solving Linear Inequalities using Addition and Subtraction

2: Functions and Graphs

2.1: Basics of Functions and Their Graphs

Introduction to Functions
Using Tables, Rules and Graphs

2.3: Linear Functions and Slope

Distance-Time and Velocity-Time Graphs
Linear Functions
Slope - Activity A
Slope-Intercept Form of a Line - Activity A

2.5: Transformations of Functions

Translating and Scaling Functions

2.6: Combinations of Functions; Composite Functions

Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Reflections of a Linear Function

2.8: Distance and Midpoint Formulas; Circles

Distance Formula - Activity A

3: Polynomial and Rational Functions

3.1: Quadratic Functions

Quadratic Functions
Quadratics in Factored Form
Quadratics in Vertex Form - Activity A

3.2: Polynomial Functions and Their Graphs

Addition and Subtraction of Polynomials
Cubic Function Activity

3.3: Dividing Polynomials; Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

3.4: Zeros of Polynomial Functions

Polynomials and Linear Factors

3.5: Rational Functions and Their Graphs

General Form of a Rational Function
Rational Functions

4: Exponential and Logarithmic Functions

4.1: Exponential Functions

Exponential Functions - Activity A

4.2: Logarithmic Functions

Logarithmic Functions - Activity A

4.5: Exponential Grwoth and Decay; Modeling Data

Exponential Growth and Decay - Activity A

5: Trigonometric Functions

5.2: Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A
Tangent Ratio

5.4: Trigonometric Functions of Real Numbers; periodic Functions

Translating and Scaling Sine and Cosine Functions - Activity A

5.5: Graphs of Sine and Cosine Functions

Cosine Function
Sine Function

5.6: Graphs of Other Trigonometric Functions

Tangent Function

5.8: Applications of Trigonometric Functions

Sound Beats and Sine Waves

6: Analytic Trigonometry

6.1: Verifying Trigonometric Identities

Simplifying Trigonometric Expressions

6.2: Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

7: Additional Topics in Trigonometry

7.3: Polar coordinates

Points in Polar Coordinates

7.5: Complex Numbers in Polar Form; DeMoivre's Theorem

Complex Numbers in Polar Form

7.6: Vectors

Adding Vectors

7.7: The Dot Product


8: Systems of Equations and Inequalities

8.1: Systems of Linear Equations in Two Variables

Modeling Linear Systems - Activity A
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A

8.4: Systems of Nonlinear Equations in Two Variables

System of Two Quadratic Inequalities

8.5: Systems of inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

8.6: Linear Programming

Linear Programming - Activity A

10: Conic Sections and Analytic Geometry

10.1: The Ellipse

Ellipse - Activity A

10.2: The Hyperbola

Hyperbola - Activity A

10.3: The Parabola

Parabolas - Activity A

11: Sequences, induction, and Probability

11.2: Arithmetic Sequences

Arithmetic Sequences

11.3: Geometric Sequences and Series

Geometric Sequences

11.5: The Binomial Theorem

Binomial Probabilities

11.6: Counting Principles, Permutations, and Combinations

Permutations and Combinations

11.7: Probability

Compound Independent Events
Probability Simulations

Content correlation last revised: 12/7/2011