Math: Middle School Plus – Precalculus

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/precalculus-2e

Math

Chapter 1

Functions

Week 1:

Introduction to Functions

1.1: Functions and Function Notation

Week 2:

1.2: Domain and Rage

1.3: Rates of Change and Behavior and Graphs

Week 3:

1.4: Composition of Functions

1.5: Transformation of Functions

Week 4:

1.6: Absolute Value Functions

Week 5:

1.7: Inverse Functions

Week 6:

Review

Week 7:

Review and Test

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Chapter 2

Linear Functions

Week 1:

Introduction to Linear Functions

Week 2:

2.1: Linear Functions

Week 3:

2.2: Graphs of Linear Functions

Week 4:

2.3: Modeling with Linear Functions

Week 5:

2.4: Fitting Linear Models to Data

Week 6:

Review

Week 7:

Review and Test

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Chapter 3

Polynomial and Rational Functions

Week 1:

Introduction to Polynomial and Rational Functions

3.1: Complex Numbers

Week 2:

3.2: Quadratic Functions

3.3: Power Functions and Polynomial Functions

Week 3:

3.4: Graphs of Polynomial Functions

3.5: Dividing Polynomials

Week 4:

3.6: Zeros of Polynomial Functions

3.7: Rational Functions

Week 5:

3.8: Inverses and Radical Functions

3.9: Modeling Using Variation

Week 6:

Review

Week 7:

Review and Test

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Chapter 4

Exponential and Logarithmic Functions

Week 1:

Introduction to Exponential and Logarithmic Functions

4.1: Exponential Functions

Week 2:

4.2: Graphs of Exponential Functions

4.3: Logarithmic Functions

Week 3:

4.4: Graphs of Logarithmic Functions

4.5: Logarithmic Properties

Week 4:

4.6: Exponential and Logarithmic Equations

4.7: Exponential and Logarithmic Models

Week 5:

4.8: Fitting Exponential Models to Data

Week 6:

Review

Week 7:

Review and Test

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Chapter 5

Trigonometric Functions

Week 1:

Introduction to Trigonometric Functions

Week 2:

5.1: Angles

Week 3:

5.2: Unit Circle: Sine and Cosine Functions

Week 4:

5.3: The Other Trigonometric Functions

Week 5:

5.4: Right Triangle Trigonometry

Week 6:

Review

Week 7:

Review and Test

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Chapter 6

Periodic Functions

Week 1:

Introduction to Periodic Functions

Week 2:

6.1: Graphs of the Sine and Cosine Functions

Week 3:

6.2: Graphs of the Other Trigonometric Functions

Week 4:

6.3: Inverse Trigonometric Functions

Week 5:

Review

Week 6:

Review

Week 7:

Review and Test

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Chapter 7

Trigonometric Identities and Equations

Week 1:

Introduction to Trigonometric Identities and Equations

7.1: Solving Trigonometric Equations with Identities

Week 2:

7.2: Sum and Difference Identities

7.3: Double-Angle, Half-Angel, and Reduction Formulas

Week 3:

7.4: Sum-to-Product and Product-to-Sum Formulas

Week 4:

7.5: Solving Trigonometric Equations

Week 5:

7.6: Modeling with Trigonometric Functions

Week 6:

Review

Week 7:

Review and Test

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Chapter 8

Further Applications of Trigonometry

Week 1:

Introduction to Further Applications of Trigonometry

8.1: Non-right Triangles: Law of Sines

Week 2:

8.2: Non-right Triangles: Law of Cosines

8.3: Polar Coordinates

Week 3:

8.4: Polar Coordinates: Graphs

8.5: Polar Form of Complex Numbers

Week 4:

8.6: Parametric Equations

8.7: Parametric Equations: Graphs

Week 5:

8.8: Vectors

Week 6:

Review

Week 7:

Review and Test

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Chapter 9

Systems of Equations and Inequalities

Week 1:

Introduction to Systems of Equations and Inequalities

9.1: Systems of Linear Equations: Two Variables

Week 2:

9.2: Systems of Linear Equations: Three Variables

9.3: Systems of Nonlinear Equations and Inequalities: Two Variables

Week 3:

9.4: Partial Fractions

9.5: Matrices and Matrix Operations

Week 4:

9.6: Solving Systems with Gaussian Elimination

9.7: Solving Systems with Inverses

Week 5:

9.8: Solving Systems with Cramer’s Rule

Week 6:

Review

Week 7:

Review and Test

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Chapter 10

Analytic Geometry

Week 1:

Introduction to Analytic Geometry

10.1: The Ellipse

Week 2:

10.2: The Hyperbola

Week 3:

10.3: The Parabola

Week 4:

10.4: Rotation of Axes

Week 5:

10.5: Conic Sections in Polar Coordinates

Week 6:

Review

Week 7:

Review and Test

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Chapter 11

Sequences, Probability, and Counting Theory

Week 1:

Introduction to Sequences, Probability and Counting Theory n

11.1: Sequences and Their Notations

Week 2:

11.2: Arithmetic Sequences

11.3: Geometric Sequences

Week 3:

11.4: Series and Their Notations

11.5: Counting Principles

Week 4:

11.6: Binomial Theorem

Week 5:

11.7: Probability

Week 6:

Review

Week 7:

Review and Test

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Chapter 12

Introduction to Calculus

Week 1:

Introduction to Calculus

Week 2:

12.1: Finding Limits: Numerical and Graphical Approaches

Week 3:

12.2: Finding Limits: Properties of Limits

Week 4:

12.3: Continuity

Week 5:

12.4: Derivatives

Week 6:

Review

Week 7:

Review and Test

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Pre-Calculus Review

Review

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