## Pre-Calculus

## Pre-Calculus

Are your students intimidated about the prospect of having to take the “dreaded” Calculus course at some point in their future? Are you searching for a Pre-Calculus curriculum that will help your students master its topics and not only survive Calculus but even thrive? And all the while still enjoying the course? Your search is over.

StudyForge proudly presents: Pre-Calculus.

Pre-Calculus is the culmination of a students’ high school mathematical journey, as they learn the fundamentals of advanced functions, trigonometry, logarithms and more. The course thoroughly prepares students for the oncoming rigor of Calculus, yet does so in a manner that is compelling and rewarding, and fosters an appreciation for the real-life applications of each topic explored, as well as for math itself.

With auditory, visual, and hands-on components throughout, this is truly a course that suits all learning styles. The lessons are engaging, interactive and student-friendly, with interactive videos that allow students to pause and rewind at any point and go at their own speed, as well as fun, interactive applets and dynamic graphs scattered throughout that enhance student understanding.

Each video is accompanied by a student-friendly note package that allows students to take notes to whatever level of detail they like. There are also an abundance of practice questions for students to internalize the material, with full, detailed solutions for each, as well as a comprehensive review assignment and practice test. Furthermore, with randomized question banks, students can redo every quiz and test in the course to help them master the material and perform their very best.

This course is a prerequisite for students who might take Calculus (or AP Calculus) in the future.

Are your students intimidated about the prospect of having to take the “dreaded” Calculus course at some point in their future? Are you searching for a Pre-Calculus curriculum that will help your students master its topics and not only survive Calculus but even thrive? And all the while still enjoying the course? Your search is over.

StudyForge proudly presents: Pre-Calculus.

Pre-Calculus is the culmination of a students’ high school mathematical journey, as they learn the fundamentals of advanced functions, trigonometry, logarithms and more. The course thoroughly prepares students for the oncoming rigor of Calculus, yet does so in a manner that is compelling and rewarding, and fosters an appreciation for the real-life applications of each topic explored, as well as for math itself.

With auditory, visual, and hands-on components throughout, this is truly a course that suits all learning styles. The lessons are engaging, interactive and student-friendly, with interactive videos that allow students to pause and rewind at any point and go at their own speed, as well as fun, interactive applets and dynamic graphs scattered throughout that enhance student understanding.

Each video is accompanied by a student-friendly note package that allows students to take notes to whatever level of detail they like. There are also an abundance of practice questions for students to internalize the material, with full, detailed solutions for each, as well as a comprehensive review assignment and practice test. Furthermore, with randomized question banks, students can redo every quiz and test in the course to help them master the material and perform their very best.

This course is a prerequisite for students who might take Calculus (or AP Calculus) in the future.

## Table of Contents

Lesson 2: Domain and Range

Lesson 3: Functions

Lesson 4: Applications of Functions

Lesson 2: Common Functions

Lesson 3: Key Features of Functions

Lesson 4: Transformations of Functions Part I: Stretches and Reflections

Lesson 5: Transformations of Functions Part II: Translations

Lesson 6: Combinations of Transformations

Lesson 7: Inverse Functions

Lesson 8: (Enrichment) Modelling Situations Using Regression

Lesson 2: Graphing Quadratics Continued

Lesson 3: Completing the Square

Lesson 4: Maximum and Minimum Problems

Lesson 5: (Enrichment) The Quadratic Formula

Lesson 2: Transforming Exponential Functions

Lesson 3: Graphing Exponential Functions

Lesson 4: Continuous Exponential Growth

Lesson 5: Introduction to Logarithms

Lesson 6: Solving Equations Using Logarithms

Lesson 7: Product and Quotient Laws

Lesson 8: Graphing Logarithmic Functions

Lesson 2: Arithmetic Series

Lesson 3: Geometric Sequences

Lesson 4: Finite Geometric Series

Lesson 5: Infinite Geometric Series

Lesson 6: (Enrichment) Sigma Notation

Lesson 7: (Enrichment) Pascal’s Triangle (The Binomial Theorem)

Lesson 2: Sine Law & Area of Any Triangle

Lesson 3: Cosine Law

Lesson 4: New Angular Measure – Radians

Lesson 5: Angles and the Coordinate Plane

Lesson 6: Trigonometric Ratios of Any Angle

Lesson 7: Special Angles and Triangles

Lesson 8: Solving Trigonometric Equations

Lesson 9: (Enrichment) Sine Law: The Ambiguous Case

Lesson 2: Graphing Tangent Functions

Lesson 3: Graphing Inverse Trigonometric Functions

Lesson 4: Applications of Trigonometric Functions

Lesson 5: Trigonometric Identities – An Introduction

Lesson 6: Sum, Difference and Double Angle Identities

Lesson 7: Solving Advanced Trig Equations

Lesson 8: (Enrichment) Using Technology to Solve More Complex Equations

Lesson 2: Circles

Lesson 3: Ellipses

Lesson 4: Hyperbolas

Lesson 5: Parametric Curves

Lesson 6: Polar Curves

Lesson 2: Vectors With Trigonometry

Lesson 3: Vector Operations

Lesson 4: Solving Systems of Equations

Lesson 5: Introduction to Matrices and Matrix Operations

Lesson 6: Matrix Multiplication, Inverses and Determinants

Lesson 7: Applications of Matrices

Lesson 2: Properties of Limits

Lesson 3: Limits Involving Infinity

Lesson 4: Continuity and The Sandwich Theorem

Lesson 5: Applications of Limits

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## Course Features

- Desmos Graphing Calculator
- Desmos Activities [coming soon]
- Geogebra Interactives