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Build up array/build down 1

This is a short 7 slide presentation demonstrating the use of an array card for inverse relationship between multiplication and division. It has been designed for Grade 2.

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Build up array/build down 1

  1. 1. BUILD-UP/BUILD DOWN Array card for Inverse relationship between Multiplication and Division Designed for Grade 2 EDX1280 S3 2014 Student no: 0031010900
  2. 2. A Language Model for Mathematics Jamieson-Proctor, R. & Larkin, K. (2014). Student LanguageFamiliar objects Materials LanguageSubstituted objects Mathematical Language Multiply, divide, equal, inverse Photographs Symbolic Language VerbalConcrete/visual Symbolic
  3. 3. Division is ‘inverse’ multiplication Mathematics Language How many fish are there altogether? (15) How many groups of 3? How do we work it out? Build- up by 3, 3 add 3 equals 6, add 3 equals 9, add 3 equals 12, add 3 equals 15. We know there are 5 groups of 3, so we can say 5 multiply by 3 equals 15. Multiply - Build-up Inverse – Opposite Divide – Build-down  Multiplication is repeated addition of equal groups or sets  Example 5 by 3 involves build-up  Division is separating groups into equal parts  Example 15 divide by 3 involves build-down  We call this the ‘inverse relationship’
  4. 4. Step 1 – Build-up  ‘Mathematics’ Language  We know 3 by 5 equals 15  How do we know? Build-up, 3 add 3 (6) add 3 (9) add 3 (12) add 3 (15)  3 multiply by 5 equals 15
  5. 5. Step 2 – Division 15 divide by 3 equals 5 ‘Mathematics Language’ How many fish are there altogether? (15) 15 divide by 3? Think multiplication We know 5 by 3 equals 15 so 15 divide by 3 must be 5
  6. 6. Step 3 – Build-down ‘Mathematics’ Language Build-down  Division is the inverse (opposite) of multiplication  So 15 divide by 3 must be 5  How do we know? Build- down, 15 minus or take-away 3 (12) minus 3 (9) minus 3 (6) minus 3 (3)
  7. 7. CONCLUSION 3 groups of 5 equals 15 INVERSE 15 divide by 3 must be 5

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