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
