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## Course information

To allow for as much flexibility as possible, this Courseware has been developed as separate strands, each containing the material for these grades. The following units are covered in each strand of this course:

• Exponents
• Manipulating Algebraic Expressions
• Prime Factorization

• Linear Equations
• Characteristics of Linear Relations
• Connecting Various Representations of Linear Relations
• Properties of Slope
• Equations of Linear Relations and Problem Solving
• Solving Linear Systems of Equations
• Properties of Line Segments and Using Analytic Geometry to Verify Geometric Properties
• Data Management and Statistics

• The Pythagorean Theorem, Measurement, and Optimization
• Geometric Relationships
• Trigonometry
• Angles in Standard Position and Trigonometric Identities

• Basic Properties of Quadratic Relations
• Algebraic Representations of Quadratic Relations
• Algebraic Skills
• Solving Problems Involving Quadratic Relations

• Representing Functions
• Transforming and Graphing Functions
• Inverses of Functions
• Inequalities, Absolute Values, and Reciprocals

• Representing Sequences
• Arithmetic and Geometric Sequences and Series and Financial Applications

• Exponential Functions
• Sinusoidal Functions

A list with all lessons in each unit has been created which can be used by educators to decide which unit to begin with.

Explore lessons in each unit

## Typical lesson structure

Each Courseware lesson normally corresponds to between one and three classroom lessons and consists of the following sections.

In this section, the information is presented using narrated slideshows and text. Key features throughout include the following interactive elements and learning aids:

• Try This: Motivating questions at the beginning of a lesson with solutions provided later under Try This Revisited.
• Explore This: Guided exploration to create or manipulate mathematical objects with an Explore This Summary to consolidate observations.
• Check Your Understanding: Practice questions for students to answer online. Feedback is provided, and students can keep trying variations of the same question until they have mastered the concept.
• Take It With You: Questions to motivate future learning without a provided answer or solution.
• Alternative Format: This page is a text version of the video instruction and interactive elements.

Some of the questions and interactive explorations from the Watch section are reproduced here for quick access and to help reinforce the lesson goals.

This final section includes a set of extra problems for students to solve on paper, including full solutions. All the exercises, answers, and solutions in a unit are reproduced as the second-last item in the list of lessons for each unit.

A set of more challenging problems that extend the material, connect different lessons, and explore additional applications is provided as the last item in the list of lessons for each unit.

### Interactive library

Visit the interactive library to find all of the interactive mathematics applications within the Grade 9/10/11 courseware. These include both Check Your Understanding and Explore This elements. You can perform a keyword search or filter by theme, unit, and/or lesson.