Linear relationships

Overview

This week students will explore linear relationships.

Students:

• will learn about linear vs non-linear graphs

• explore linear graphs

• will calculate gradients.

Outcomes:

• MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts

• MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context

• MA5.1-6NA determines the midpoint, gradient and length of an interval, and graphs linear relationships

• MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions

• MA5.2-3WM constructs arguments to prove and justify results

• MA5.2-9NA uses the gradient-intercept form to interpret and graph linear relationships

Students will be introduced to the concept of linear and non-linear graphs.

Outcomes:

• MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts

• MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context

• MA5.1-6NA determines the midpoint, gradient and length of an interval, and graphs linear relationships

• MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions

• MA5.2-3WM constructs arguments to prove and justify results

Students will explore how the different parts of a linear equation affect the graph, including a comparison of changes of less or more to both x and y.

Outcomes:

• MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts

• MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context

• MA5.1-6NA determines the midpoint, gradient and length of an interval, and graphs linear relationships

• MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions

• MA5.2-9NA uses the gradient-intercept form to interpret and graph linear relationships

Students will:

• gain an appreciation of slope

• learn how to calculate the gradient of a line using rise over run

• practice finding the gradient of straight lines

• explore how the equation, tables of values, graph, gradient, x and y intercepts are all related.

Outcomes:

• MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts

• MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context

• MA5.1-6NA determines the midpoint, gradient and length of an interval, and graphs linear relationships

• MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions

• MA5.2-3WM constructs arguments to prove and justify results

• MA5.2-9NA uses the gradient-intercept form to interpret and graph linear relationships