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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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**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**Algebraic thinking**• 98 + 48 = (98 + ) + (48 _____ If I do this… What do I do here?**Algebraic thinking**• 98 + 48 = (98 + ) + (48 - )**Algebraic Thinking**• 98 + 47 = • Here = means get the answer**Algebraic Thinking**• 97 + 96 = 98 + 95 • Is this true? • Here = means balance**Algebraic Thinking**• 98 + 84 = 95 + 87 • Wrong structure • Must be up and down**Algebraic Thinking**• 84 + 39 = 81 + 41 • And be the same amount**Algebraic Thinking**• 61 + 58 = 59 + • 64 + = 61 + 38**Algebraic Thinking**• 6 + = 9 + • Insert a pair of numbers that make this true**Algebraic Thinking**• 6 + = 9 + • Write a statement to link these that is always true**Algebraic Thinking**• 7 + = 11 + • Make a general statement**Algebraic Thinking**• 10 + = 6 + • Make a general statement**Algebraic Thinking**• 41 + n = 43 + _______ • Don’t simplify, use the structure**Algebraic Thinking**• 41 + n = 43 + (n - 2) • Because 41 goes up 2, n must go down 2

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