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 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 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 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 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 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 1: Compound Interest
Lesson 2: Introduction to Investments
Lesson 3: Introduction to Loans (Mortgages and Credit Cards)
Lesson 4: Buying vs. Leasing

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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.


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!


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

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