Download Print Version
Font:

Patterns in Linear Equations

Strand: Patterns and Relations (Patterns)
Outcomes: 1 and 2

Curriculum Focus

The changes to the curriculum targeted by this sample include:

• The general outcome has an increased focus on connecting and contextualizing linear equations, whereas the previous mathematics curriculum focused on generalizing, designing and justifying mathematical procedures. 
• The specific outcomes focus on writing expressions and equations that represent a variety of patterns. Students are asked to solve equations and graph linear equations. Students then are asked to extrapolate information from the patterns that are represented.
• The previous curriculum focused on logic, divergent thinking and manipulation of rational algebraic expressions.

Patterns in Linear Equations addresses the following outcomes from the Program of Studies:

Strand:	Patterns and Relations (Patterns)
Specific Outcomes:	1. Generalize a pattern arising from a problem-solving context, using a linear equation, and verify by substitution. [C, CN, PS, R, V] 2. Graph a linear relation, analyze the graph, and interpolate or extrapolate to solve problems. [C, CN, PS, R, T, V] [ICT: C7–3.1, P2–3.3]

What is a Planning Guide?

Planning Guides are a tool for teachers to use in designing instruction and assessment that focuses on developing and deepening students' understanding of mathematical concepts. This tool is based on the process outlined in Understanding by Design, by Grant Wiggins and Jay McTighe.

The following steps will help you through the Planning Guide:

• Step 1: Identify Outcomes to Address
• Step 2: Determine Evidence of Student Learning
• Step 3: Plan for Instruction
• Step 4: Assess Student Learning
• Step 5: Follow-up on Assessment

See Bibliography for reference information.