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What is a Variable? - Grades 6-8
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This toolkit will address a conceptual understanding of variables. Because of the multiple ways that mathematicians use variables, many students have several misconceptions about variables that hinder their algebraic thinking. The goal of this toolkit is for students to be able to understand variables as unknown quantities that can change.
Goals and Standards
Colorado Academic Standards:
- 6.EE.A. Expressions & Equations: Apply and extend previous understandings of arithmetic to algebraic expressions.
- 6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers.
Mathematical Practice Standards:
- MP2: Reason abstractly and quantitatively
- MP3: Construct viable arguments and critique the reasoning of others
- MP6: Attend to precision
Learning Goal:
- Students will extend their understanding of arithmetic to expressions involving unknown quantities.
- Students will conceptualize variables as known quantities that c______________________________________________________________________
Materials List
- Pencils and paper
- Pre-assessment
- Task 1
- Discussion Questions
- Variables: Sometimes, Always, Never Notecatcher (and key)
- Colored Pencils
- Green, Yellow, and Red pieces of paper (optional)
- Task 2
- Variable cards
- Task 2 exit ticket (and key)
- Large representation of a number line (can be rope, a line on a whiteboard)
- Scratch paper and calculators
- Task 3
- Post-assessment
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