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Mastering Subtraction: Strategies for Efficient Removal of Subtrahend in Parts

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This resource provides effective strategies for teaching subtraction, focusing on the removal of the subtrahend in manageable parts. Highlighting techniques from Number Talks, it encourages breaking down both the minuend and the subtrahend into equivalent value chunks, facilitating mental math without regrouping. The examples included demonstrate practical applications, enabling learners to perform subtraction in a structured manner while deepening their understanding of place value. Perfect for educators looking to enhance subtraction instruction.

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Mastering Subtraction: Strategies for Efficient Removal of Subtrahend in Parts

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  1. Subtraction: Removal

  2. Category 1 Encourages removing the subtrahend (part) in parts that are the same as the digit in the minuend (whole). Please see page 150 in Number Talks for an explanation of using this strategy efficiently. Example: 21 – 9 = Decompose 9 to 1 + 8 so 21 – 1 = 20 and 20 – 8 = 12

  3. 12 – 2 12 – 5 15 – 5 15 – 6

  4. 13 – 3 13 – 5 13 – 6 13 – 8

  5. 20 – 5 20 – 6 20 – 7 20 – 8

  6. 21 – 1 21 – 6 23 – 3 23 – 6

  7. 24 – 4 24 – 5 24 – 8 24 – 9

  8. 22 – 2 22 – 4 22 – 5 22 – 8

  9. 35 – 5 35 – 6 35 – 8 35 – 9

  10. 41 – 1 41 – 4 41 – 6 41 – 8

  11. 52 – 2 52 – 7 53 – 3 53 – 8

  12. Category 2 Encourages removal in place value chunks without regrouping.

  13. 20 – 10 20 – 16 30 – 10 30 – 12

  14. 26 – 10 26 – 13 28 – 10 28 – 15

  15. 35 – 10 35 – 13 35 – 20 35 – 24

  16. 47 – 10 47 – 16 47– 20 47– 24

  17. 39 – 10 39 – 13 39– 20 39– 22

  18. 56 – 10 56 – 12 56– 30 56– 35

  19. 78 – 20 78 – 23 78– 50 78– 54

  20. 69 – 30 69 – 35 69– 50 69– 52

  21. 87 – 40 87 – 44 87– 50 87– 53

  22. Category 3 Encourages removal in place value chunks and decomposing a single-digit number to remove it in parts

  23. 25 – 10 25 – 16 35 – 10 35 – 16

  24. 32 – 10 32 – 13 32 – 20 32 – 13

  25. 37 – 20 37 – 28 42 – 20 42 – 23

  26. 23 – 10 23 – 15 36 – 10 36 – 19

  27. 41 – 20 41 – 23 45 – 20 45 – 28

  28. 52 – 20 52 – 25 38 – 10 38 – 19

  29. 54 – 10 54 – 18 52 – 30 52 – 34

  30. 58 – 20 58 – 29 51 – 30 51 – 35

  31. 63 – 40 63 – 44 66 – 30 66 – 38

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