Math: Middle School Plus – Algebra and Trigonometry

Middle School and High School students are able to do more independently. I use openstax.org because it is free. I could “copy” the material, but openstax is designed to be updated regularly. feel free to download or print the textbook for your student to read or have your child read it off the website.

https://openstax.org/details/books/algebra-and-trigonometry-2e

Math

Chapter 1

Prerequisites

Week 1:

Introduction to Prerequisites

1.1: Real Numbers: Algebra Essentials

Week 2:

1.2: Exponents and Scientific Notation

1.3: Radicals and Rational Exponents

Week 3:

1.4: Polynomials

Week 4:

1.5: Factoring Polynomials

Week 5:

1.6: Rational Expressions

Week 6:

Review

Week 7:

Review and Test

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Chapter 2

Equations and Inequalities

Week 1:

Introduction to Equations and Inequalities

2.1: The Rectangular Coordinate Systems and Graphs

Week 2:

2.2: Linear Equations in One Variable

2.3: Models and Applications

Week 3:

2.4: Complex Numbers

2.5: Quadratic Equations

Week 4:

2.6: Other Types of Equations

Week 5:

2.7: Linear Inequalities and Absolute Value Inequalities

Week 6:

Review

Week 7:

Review and Test

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Chapter 3

Functions

Week 1:

Introduction to Functions

3.1: Functions and Function Notations

Week 2:

3.2: Domain and Range

3.3: Rates of Change and Behavior of Graphs

Week 3:

3.4: Composition of Functions

3.5: Transformation of Functions

Week 4:

3.6: Absolute Value Functions

Week 5:

3.7: Inverse Functions

Week 6:

Review

Week 7:

Review and Test

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Chapter 4

Linear Functions

Week 1:

Introduction to Linear Functions

Week 2:

4.1: Linear Functions

Week 3:

4.2: Modeling with Linear Functions

Week 4:

4.3: Fitting Linear Models to Date

Week 5:

Review

Week 6:

Review

Week 7:

Review and Test

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Chapter 5

Polynomial and Rational Functions

Week 1:

Introduction to Polynomial and Rational Functions

5.1: Quadratic Functions

Week 2:

5.2: Power Functions and Polynomial Functions

5.3: Graphs of Polynomial Functions

Week 3:

5.4: Dividing Polynomials

5.5: Zeros of Polynomial Functions

Week 4:

5.6: Rational Functions

5.7: Inverses and Radical Functions

Week 5:

5.8: Modeling Using Variation

Week 6:

Review

Week 7:

Review and Test

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Chapter 6

Exponential and Logarithmic Functions

Week 1:

Introduction to Exponential and Logarithmic Functions

6.1: Exponential Functions

Week 2:

6.2: Graphs of Exponential Functions

6.3: Logarithmic Functions

Week 3:

6.4: Graphs of Logarithmic Functions

6.5: Logarithmic Properties

Week 4:

6.6: Exponential and Logarithmic Equations

6.7: Exponential and Logarithmic Models

Week 5:

6.8: Fitting Exponential Models to Data

Week 6:

Review

Week 7:

Review and Test

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Chapter 7

The Unit Circle: Sine and Cosine Functions

Week 1:

Introduction to the Unit Circle: Sine and Cosine Functions

Week 2:

7.1: Angles

Week 3:

7.2: Right Triangle Trigonometry

Week 4:

7.3: Unit Circle

Week 5:

7.4: The Other Trigonometric Functions

Week 6:

Review

Week 7:

Review and Test

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Chapter 8

Periodic Functions

Week 1:

Introduction to Periodic Functions

Week 2:

8.1: Graphs of the Sine and Cosine Functions

Week 3:

8.2: Graphs of the Other Trigonometric Functions

Week 4:

8.3: Inverse Trigonometric Functions

Week 5:

Review

Week 6:

Review

Week 7:

Review and Test

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Chapter 9

Trigonometric Identities and Equations

Week 1:

Introduction to Trigonometric Identities and Equations

9.1: Verifying Trigonometric Identities and Using Trigonometric Identities to Simplify Trigonometric Expressions

Week 2:

9.2: Sum and Difference Identities

Week 3:

9.3: Double-Angle, Half-Angle, and Reduction Formulas

Week 4:

9.4: Sum-to-Product and Product-to-Sum Formulas

Week 5:

9.5: Solving Trigonometric Equations

Week 6:

Review

Week 7:

Review and Test

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Chapter 10

Further Applications of Trigonometry

Week 1:

Introduction to Further Applications of Trigonometry

10.1: Non-right Triangles: Law of Sines

Week 2:

10.2: Non-right Triangles: Law of Cosines

10.3: Polar Coordinates

Week 3:

10.4: Polar Coordinates: Graphs

10.5: Polar Form of Complex Numbers

Week 4:

10.6: Parametric Equations

10.7: Parametric Equations: Graphs

Week 5:

10.8: Vectors

Week 6:

Review

Week 7:

Review and Test

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Chapter 11

Systems of Equations and Inequalities

Week 1:

Introduction to Systems of Equations and Inequalities

11.1: Systems of Linear Equations: Two Variables

Week 2:

11.2: Systems of Linear Equations: Three Variables

11.3: Systems of Nonlinear Equations and Inequalities: Two Variables

Week 3:

11.4: Partial Fractions

11.5: Matrices and Matrix Operations

Week 4:

11.6: Solving Systems with Gaussian Elimination

11.7: Solving Systems with Inverses

Week 5:

11.8: Solving Systems with Cramer’s Rule

Week 6:

Review

Week 7:

Review and Test

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Chapter 12

Analytic Geometry

Week 1:

Introduction to Analytic Geometry

12.1: The Ellipse

Week 2:

12.2: The Hyperbola

Week 3:

12.3: The Parabola

Week 4:

12.4: Rotation of Axes

Week 5:

12.5: Cronic Sections in Polar Coordinates

Week 6:

Review

Week 7:

Review and Test

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Chapter 13

Sequences, Probability, and Counting Theory

Week 1:

Introduction to Sequences, Probability, and Counting Theory

13.1: Sequences and Their Notations

Week 2:

13.2: Arithmetic Sequences

13.3: Geometric Sequences

Week 3:

13.4: Series and Their Notations

13.5: Counting Principles

Week 4:

13.6: Binomial Theorem

Week 5:

13.7: Probability

Week 6:

Review

Week 7:

Review and Test

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Chapter Review

Review

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