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Equations with Letter Variables

Strand: Patterns and Relations (Variables and Equations)
Outcomes: 3 and 4

Strand: Shape and Space (Measurement)
Outcome: 3

Curriculum Focus

The changes to the curriculum targeted by this sample include:

• The general outcome in the Patterns and Relations (Variables and Equations) strand focuses on representing algebraic expressions in multiple ways, which is the same as the previous mathematics curriculum.
• The general outcome in the Shape and Space (Measurement) strand focuses on using direct and indirect measurement to solve problems, whereas the previous mathematics curriculum focused on describing and comparing everyday phenomena, using either direct or indirect measurement.
• The specific outcome in the Shape and Space (Measurement) strand focuses on developing and applying a formula for determining the perimeter of polygons, area of rectangles and volume of right rectangular prisms, which is the same as the previous math curriculum. The previous mathematics curriculum also included finding the surface area of right rectangular prisms with and without a formula.

Equations with Letter Variables addresses the following outcomes from the Program of Studies:

Strand:	Patterns and Relations (Variables and Equations)
Specific Outcomes:	3. Represent generalizations arising from number relationships, using equations with letter variables. [C, CN, PS, R, V] 4. Express a given problem as an equation in which a letter variable is used to represent an unknown number. [C, CN, PS, R]
Strand:	Shape and Space (Measurement)
Specific Outcomes:	3. Develop and apply a formula for determining the: perimeter of polygons area of rectangles volume of right rectangular prisms. [C, CN, PS, R, V]

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.