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Algebraic thinking

Algebraic thinking. When one number is near a Hundred. 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

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Algebraic thinking

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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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