Comprehensive Pre-Calculus 1 Curriculum: Lessons and Activities for Mastery

Take your Pre-Calculus instruction to the next level with this meticulously designed curriculum, created by a veteran teacher and experienced seller on Teachers Pay Teachers. This all-in-one resource covers all essential Pre-Calculus topics with detailed lessons, engaging activities, and assessments to help students build a strong mathematical foundation.

Topics Covered:

Chapter 1: Inequalities and Absolute Value

- 1.5 Solving Inequalities

- 1.6 Equations and Inequalities Involving Absolute Value

Chapter 2: Analytical Geometry Basics

- 2.1 The Distance and Midpoint Formulas

- 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

- 2.3 Lines

Chapter 3: Functions and Graphs

- 3.1 Functions

- 3.2 The Graph of a Function

- 3.3 Properties of Functions

- 3.4 Library of Functions; Piecewise-defined Functions

- 3.5 Graphing Techniques: Transformations

Chapter 4: Linear and Quadratic Functions

- 4.1 Linear Functions and Their Properties

- 4.3 Quadratic Functions and Their Properties

- 4.5 Inequalities Involving Quadratic Functions

Chapter 5: Polynomial and Rational Functions

- 5.1 Polynomial Functions and Models

- 5.2 Properties of Rational Functions

- 5.3 The Graph of a Rational Function

- 5.4 Polynomial and Rational Inequalities

- 5.5 The Real Zeros of a Polynomial Function

Chapter 6: Exponential and Logarithmic Functions

- 6.1 Composite Functions

- 6.2 One-to-One Functions; Inverse Functions

- 6.3 Exponential Functions

- 6.4 Logarithmic Functions

- 6.5 Properties of Logarithms

- 6.6 Logarithmic and Exponential Equations

Chapter 7: Introduction to Trigonometry

- 7.1 Angles and Their Measure

- 7.2 Right Triangle Trigonometry

- 7.3 Computing the Values of Trigonometric Functions of Acute Angles

- 7.4 Trigonometric Functions of Any Angle

- 7.5 Unit Circle Approach; Properties of the Trigonometric Functions

- 7.6 Graphs of the Sine and Cosine Functions

- 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

Chapter 8: Advanced Trigonometry

- 8.1 The Inverse Sine, Cosine, and Tangent Functions

- 8.2 The Inverse Trigonometric Functions (Continued)

- 8.3 Trigonometric Equations

- 8.4 Trigonometric Identities

- 8.5 Sum and Difference Formulas

- 8.6 Double-angle and Half-angle Formulas

- 8.7 Product-to-Sum and Sum-to-Product Formulas

Chapter 9: Applications of Trigonometry

- 9.1 Applications Involving Right Triangles

- 9.2 The Law of Sines

- 9.3 The Law of Cosines

- 9.4 Area of a Triangle

Chapter 10: Polar and Complex Numbers

- 10.1 Polar Coordinates

- 10.3 The Complex Plane; De Moivre’s Theorem

Chapter 12: Systems of Equations and Inequalities

- 12.1 Systems of Linear Equations: Substitution and Elimination

- 12.2 Systems of Linear Equations: Matrices

- 12.7 Systems of Inequalities

Key Features:

- Fully aligned with Common Core and other state standards.

- Ideal for high school Pre-Calculus courses or advanced middle school programs.

- Perfect for in-person, hybrid, or virtual classrooms.

Save time while providing your students with high-quality, interactive resources that ensure success in Pre-Calculus. Download now and start transforming your lessons today!