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Mastering Algebraic Thinking: Strategies for Adding Near a Hundred

This resource focuses on developing algebraic thinking skills through the exploration of addition problems involving numbers near a hundred. It emphasizes strategies such as adding and subtracting small numbers to simplify calculations and maintain balance in equations. Through various examples, learners are guided on how to generalize patterns and validate mathematical statements, laying a foundation for deeper understanding of algebraic concepts. Engaging with these methods fosters a robust mathematical mindset that is essential for problem-solving.

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Mastering Algebraic Thinking: Strategies for Adding Near a Hundred

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  1. Algebraic thinking

  2. When one number is near a Hundred

  3. When One Number Is Near a Hundred • 98 + 48 • Add on 2 - to make a tidy number • 97 + 38 • Similar but add on three • 96 + 87 • Generalisation is what always works • Number added on changed, but reason for didn’t • Know that what you add on, you must subtract

  4. Algebraic thinking • 98 + 48 = (98 + ) + (48 _____ If I do this… What do I do here?

  5. Algebraic thinking • 98 + 48 = (98 + ) + (48 - )

  6. Algebraic Thinking • 98 + 47 = • Here = means get the answer

  7. Algebraic Thinking • 97 + 96 = 98 + 95 • Is this true? • Here = means balance

  8. Algebraic Thinking • 98 + 84 = 95 + 87 • Wrong structure • Must be up and down

  9. Algebraic Thinking • 84 + 39 = 81 + 41 • And be the same amount

  10. Algebraic Thinking • 61 + 58 = 59 +  • 64 +  = 61 + 38

  11. Algebraic Thinking • 6 +  = 9 +  • Insert a pair of numbers that make this true

  12. Algebraic Thinking • 6 +  = 9 +  • Write a statement to link these that is always true

  13. Algebraic Thinking • 7 +  = 11 +  • Make a general statement

  14. Algebraic Thinking • 10 +  = 6 +  • Make a general statement

  15. Algebraic Thinking • 41 + n = 43 + _______ • Don’t simplify, use the structure

  16. Algebraic Thinking • 41 + n = 43 + (n - 2) • Because 41 goes up 2, n must go down 2

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