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Annotated Number Representations

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Annotated Number Representations

Read each question carefully. For questions that say “select all”, more than one answer is correct. Use labels to explain what numbers and parts of a representation mean.

Understand and Interpret Representations

1.Which number sentence describes an array with 7 rows and 4 counters in each row?
  • 7 × 4 = 28
  • 7 + 4 = 11
  • 28 − 4 = 24
  • 4 ÷ 7 = 28
2.Select all the labels that correctly explain the number sentence 6 × 8 = 48.
  • 6 groups of 8 make 48
  • There are 6 rows with 8 in each row
  • The total is 48
  • 6 and 8 have a difference of 48
3.What makes an annotation useful when explaining a mathematical representation?
  • It clearly names what the parts or numbers stand for
  • It uses many colours instead of words
  • It gives only the final answer
  • It adds extra numbers that are not part of the problem
4.A shop packs 32 biscuits into equal rows. Select all the number sentences that could describe a whole-number array of 32 biscuits.
  • 4 × 8 = 32
  • 2 × 16 = 32
  • 5 × 6 = 32
  • 1 × 32 = 32

Add and Create Annotations

5.The grid shows an array. Write a multiplication sentence for it, then label the rows, the number in each row and the total.

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6.There are 6 equal groups of 7 toy cars. Complete the number sentence and annotate what each factor and the product represent.
7.A gardener plants 9 equal rows with 8 seedlings in each row. Write two different multiplication sentences that describe the same total, and annotate what the factors mean.
8.Use the number 36. Show it in two different ways—for example, as an addition sentence and as a multiplication sentence or array. Add a label explaining what each part means.

Explain Your Thinking

9.A classmate writes “3 × 12 = 36” but gives no explanation. Add a short annotation that would help someone understand what the numbers and answer could represent.
10.Give one reason a label such as “4 rows of 6” helps someone understand the number sentence 4 × 6 = 24.

4 printable pages

  • Annotated Number Representations, page 1 of 4: Understand and Interpret Representations

    Page 1

  • Annotated Number Representations, page 2 of 4: Add and Create Annotations

    Page 2

  • Annotated Number Representations, page 3 of 4: Explain Your Thinking

    Page 3

  • Annotated Number Representations, page 4 of 4: 10. Give one reason a label such as “4 rows of 6” helps someone understand the

    Page 4

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