## Pre-Calculus 12

## Pre-Calculus 12

This course aligns with the learning outcomes for: BRITISH COLUMBIA

Are you searching for a Pre-Calculus 12 curriculum that will help your students master its topics so that if and when they hit Calculus they can not only survive but even thrive? And all the while still enjoying the course itself? Your search is over.

StudyForge proudly presents: Pre-Calculus 12.

Pre-Calculus 12 is the culmination of a students’ high school mathematical journey, as they learn the fundamentals of advanced functions, logarithms, trigonometric identities 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 in the future, whether in high school (Calculus 12 or AP Calculus) or in post-secondary.*

Are you searching for a Pre-Calculus 12 curriculum that will help your students master its topics so that if and when they hit Calculus they can not only survive but even thrive? And all the while still enjoying the course itself? Your search is over.

StudyForge proudly presents: Pre-Calculus 12.

Pre-Calculus 12 is the culmination of a students’ high school mathematical journey, as they learn the fundamentals of advanced functions, logarithms, trigonometric identities 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 in the future, whether in high school (Calculus 12 or AP Calculus) or in post-secondary.*

## Table of Contents

Lesson 2: Vertical and Horizontal Translations

Lesson 3: Reflections

Lesson 4: Vertical and Horizontal Compressions and Stretches

Lesson 5: Combinations of Transformations

Lesson 6: Transformation of Radical Functions and More

Lesson 2: Composition of Functions

Lesson 3: Inverse Functions

Lesson 4: Inverse Reflections

Lesson 5: Parabolas and Circles

Lesson 6: Ellipses and Hyperbolas

Lesson 2: Transforming Exponential Equations

Lesson 3: Introduction to Logarithms

Lesson 4: Solving Equations Using Logarithms

Lesson 5: Product and Quotient Laws

Lesson 6: Graphing Exponential Functions

Lesson 7: Graphing Logarithmic Functions

Lesson 2: Sum of a Finite Geometric Series

Lesson 3: Infinite Geometric Series

Lesson 4: Sigma Notation

Lesson 2: The Remainder Theorem

Lesson 3: Factor Theorem

Lesson 4: Solve Polynomials by Factoring

Lesson 5: Sketching Polynomials by Finding Zeros

Lesson 6: Graphing Rational Functions

Lesson 2: Angular Measure – Radians

Lesson 3: Trigonometric Ratios of Any Angle

Lesson 4: Discovering Parameters of Sine and Cosine

Lesson 5: Graphing Sine and Cosine

Lesson 6: Graphing Tangent

Lesson 7: Graphing Inverse Trigonometric Functions

Lesson 8: Applications of Trigonometric Functions

Lesson 2: Solving Trigonometric Equations Algebraically

Lesson 3: Using Technology to Solve More Complex Equations

Lesson 4: Trigonometric Identities – An Introduction

Lesson 5: Sum, Difference and Double Angle Identities

Lesson 2: Radical Operations

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## Course Features

- Interactive applets which help foster a conceptual and intuitive understanding of fundamental topics.
- Digital DESMOS Graphing Calculator within the course
- Inquiry-Based Projects such as:
- Comparing how acidic (or basic) household products are using logarithms
- Analyzing financial investments using sequences and series.
- Exploring Conic Sections
- Modeling real-life data using trigonometric functions