## Pre-Calculus Math 11

## 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.

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

Lesson 2: Factoring Trinomials When a is 1

Lesson 3: Factoring Trinomials When a is Not 1

Lesson 4: Advanced Factoring

Lesson 2: Graphing Quadratics Continued

Lesson 3: Completing the Square

Lesson 4: Maximum and Minimum Problems

Lesson 5: 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 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: 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: 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: Introduction to Investments

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

Lesson 4: Buying vs. Leasing

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## 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