## Pre-Calculus Math 11

Pre-Calculus Math 11 is intended to help students continue on the path to potential STEM-based post secondary studies. Specifically, the course is an exploration of advanced functions and equations including polynomials, quadratics, rationals, trigonometry and more, as well as an applied look at finances. Broadly speaking, Pre-Calculus 11 is focused on the continued development of algebraic and critical thinking, problem solving and the application of mathematics in real-life situations.

StudyForge Pre-Calculus Math 11 is intentionally designed for student success, featuring elements such as:

- Video, Audio and Hands-on instruction through videos and interactives
- Practice questions with detailed solutions for self-assessment
- A student notebook that accompanies the instruction, to enhance engagement with course material
- Summative assessments for each module – randomized to allow retests for mastery
- A customized dashboard to let you know which students are most needing your help
- A variety of Inquiry-based projects
- Solution Files & Answer Keys
- And more.

Pre-Calculus 11 requires that students have completed the prerequisite course: Foundations of Math and Pre-Calculus 10.

## Table of Contents

*Each lesson is designed to take 60 – 90 minutes to complete with the exception of major projects and assignments.

Lesson 1: Review of Area Models and Basic Factoring

Lesson 2: Factoring Trinomials When a is 1

Lesson 3: Factoring Trinomials When a is Not 1

Lesson 4: Advanced Factoring

Lesson 2: Factoring Trinomials When a is 1

Lesson 3: Factoring Trinomials When a is Not 1

Lesson 4: Advanced Factoring

Lesson 1: Graphing Quadratics Introduction

Lesson 2: Graphing Quadratics Continued

Lesson 3: Completing the Square

Lesson 4: Maximum and Minimum Problems

Lesson 5: Extra Practice

Lesson 2: Graphing Quadratics Continued

Lesson 3: Completing the Square

Lesson 4: Maximum and Minimum Problems

Lesson 5: Extra Practice

Lesson 1: Solving Quadratics by Graphing

Lesson 2: Solving Quadratics by Factoring

Lesson 3: Solving Quadratics by Completing the Square

Lesson 4: The Quadratic Formula

Lesson 5: The Discriminant

Lesson 6: Linear Inequalities

Lesson 7: Quadratic Inequalities

Lesson 8: Extra Practice

Lesson 2: Solving Quadratics by Factoring

Lesson 3: Solving Quadratics by Completing the Square

Lesson 4: The Quadratic Formula

Lesson 5: The Discriminant

Lesson 6: Linear Inequalities

Lesson 7: Quadratic Inequalities

Lesson 8: Extra Practice

Lesson 1: Introduction to Rational Expressions

Lesson 2: Adding and Subtracting Rational Expressions

Lesson 3: Multiplying and Dividing Rational Expressions

Lesson 4: Solving Rational Equations

Lesson 5: Applications of Rational Expressions

Lesson 2: Adding and Subtracting Rational Expressions

Lesson 3: Multiplying and Dividing Rational Expressions

Lesson 4: Solving Rational Equations

Lesson 5: Applications of Rational Expressions

Lesson 1: The Number System

Lesson 2: Exponents and Radicals

Lesson 3: Adding and Subtracting Radicals

Lesson 4: Multiplying and Dividing Radicals

Lesson 5: Simplifying Radicals Part 1

Lesson 6: Simplifying Radicals Part 2 (Rationalizing The Denominator)

Lesson 7: Solving Radical Equations

Lesson 2: Exponents and Radicals

Lesson 3: Adding and Subtracting Radicals

Lesson 4: Multiplying and Dividing Radicals

Lesson 5: Simplifying Radicals Part 1

Lesson 6: Simplifying Radicals Part 2 (Rationalizing The Denominator)

Lesson 7: Solving Radical Equations

Lesson 1: Trigonometry Review

Lesson 2: Sine Law

Lesson 3: Sine Law – The Ambiguous Case

Lesson 4: Cosine Law

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 2: Sine Law

Lesson 3: Sine Law – The Ambiguous Case

Lesson 4: Cosine Law

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 1: Compound Interest

Lesson 2: Introduction to Investments

Lesson 3: Introduction to Loans (Mortgages and Credit Cards)

Lesson 4: Buying vs. Leasing

Lesson 2: Introduction to Investments

Lesson 3: Introduction to Loans (Mortgages and Credit Cards)

Lesson 4: Buying vs. Leasing

## Experience a lesson as your students would

## Don’t Take Our Word for It!

## See What Others Have to Say:

StudyForge has been an effective instructional program for students who are learning math. There are many visual representations as well as audio explanations on all the topics. Most of the practice questions provide both an answer and a solution to help students understand the procedures. From the teacher’s perspective, the course instruction can be easily rearranged for students who need a review of concepts from a previous grade.

## SONYA

## Online Teacher at EBUS Academy

I have been using the StudyForge math videos for a year now. The benefits were immediate as I was able to free up the time spent with my students to better track their progress and construct personalized learning goals. My students love the ease of use of the system and most of all, the increase in their test scores! I can’t ever imagine going back to a traditional classroom!

## Scott

## Blended Teacher at Brampton Christian School

I think the videos are excellent. Unlike lectures, I can actually rewind back and forth as much as I want. In class, students kind of miss important information because they are busy writing notes.

## Alice P

## StudyForge Student

I love the reporting tool. In my distributed learning context, seeing student’s work habits in a helpful format has become invaluable to me. I wouldn’t ever want to give one on one help to students again without the course overview report handy!

## Ryan J.

## Online Teacher

## Course Features

- Interactive applets which help foster a conceptual and intuitive understanding of fundamental topics
- Built-in DESMOS Graphing Calculator with practice questions
- Interesting and engaging projects, such as:
- Design an adequate zoo enclosure
- Construct a reasonable financial plan to own your own house
- Design an ideal agricultural farm for profitability