Mathematics, Grade 10, Applied

In this unit, you will be looking at patterns and relationships and the multiple ways of representing the relationships. You will focus on the characteristics of linear and non-linear relations including identifying the key characteristics and features of these relations and using these characteristics and features to connect different representations of the same relation.

You will also learn to identify, select and use the mathematical processes.

In this unit, you will extend your understanding of linear and non-linear relations. You will focus on vocabulary, various representations for the relation and the connections between relations. You will:

- describe linear relations using graphs, equations and precise vocabulary and connect the slope to other topics;
- describe quadratic relations using graphs and new vocabulary;
- describe ratios of side lengths in triangles using new definitions;
- determine surface area of a pyramid You will continue to identify and use the mathematical processes.

Activity 2: Quadratic Patterns and Vocabulary

Activity 3: Discovering Ratios in Similar Triangles

Activity 4: Applying Trigonometric Ratios

Activity 5: Graphing Linear Relations using Key Features

Activity 6: Writing Equations Using Key Features of other Representations

Activity 7: Slope and conversions

Activity 8: Similarity and Slope

In this unit, you will learn different ways to write algebraic expressions, and how to change from one form of expression to another. You will be able to show relationships using graphs, algebra and words. You will learn to recognize which form of expression is best in different situations, and this will help you to solve problems. You will develop these skills working with different types of algebraic expressions, including those relating to linear relations, quadratic relations and relations with triangles.

Activity 2: Solving Systems of Linear Equations Graphically and Algebraically - 1

Activity 3: Solving Systems of Linear Equations Graphically and Algebraically - 2

Activity 4: Comparing Equations for Quadratic Relations

Activity 5: Algebraic Manipulation of Quadratic Expressions - 1

Activity 6: Algebraic Manipulation of Quadratic Expressions - 2

Activity 7: Solving Triangles - 1

Activity 8: Solving Triangles - 2

Activity 9: Building and Filling Structures

In this unit, you will have the opportunity to use linear relations, quadratic relations, trigonometric relations and the relations of 2D and 3D shapes and figures to solve a variety of problems. After reading the problem and determining the given information and the information required, you will create a plan that you will use to solve the problem. Once the problem is solved, you will reflect on your solution and consider other ways that you could solve similar problems in the future.