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Lesson Plan

14. Use number puzzles to compare arithmetic and algebraic approaches to solving problems (A)

teaches Common Core State Standards CCSS.Math.Content.7.EE.B.4a
teaches Common Core State Standards CCSS.Math.Practice.MP2
teaches Common Core State Standards CCSS.Math.Practice.MP7
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Lesson objective: Compare algebraic and arithmetic approaches to problem solving using number puzzles.

This lesson provides an opportunity for students to apply their knowledge and understanding of problem solving to a mathematical situation. Students are asked to solve a number puzzle using an arithmetic approach and an algebraic approach. They will simplify the algebraic expression to show how the puzzle works.

Key Concept students will use: 

  • Arithmetic and algebraic approaches to problem solving are related. They share the same operations and solutions.

Skills students will use:

  • Simplifying algebraic expressions
  • Solving problems arithmetically
  • Translating words into algebraic expressions

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they compare the two approaches. They will use the same operations while they solve the puzzle using a single number or simplify the expression to demonstrate the mathematics behind the solution.

Key vocabulary: 

  • algebraic approach
  • arithmetic approach
  • expression
  • variable


Related content

Appears in

Solving equations

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