2-2 Mental Math:
 Using Compatible
#s and Compensation
       Math Notes
 Mathematical Reasoning 1.0
Compatible Numbers
  Compatible numbers are numbers that
     are easy to compute mentally.




19 + 25 + 11 = 30 + 25
   ...
Compensation Numbers
Compensation involves deciding which number to
  adjust to make it easier to add or subtract.
  Compe...
Compensation Numbers
Compensation involves deciding which number to
  adjust to make it easier to add or subtract.
  Compe...
Guided Practice
  9 + 1 + 25 =
              Any numbers you

9 + 1 = 10     can easily add
             FIRST to make thi...
Guided Practice
9 + 1 + 25 =
Guided Practice
9 + 1 + 25 =
           Any numbers you
            can easily add
          FIRST to make this
          ...
Guided Practice
  9 + 1 + 25 =
              Any numbers you

9 + 1 = 10     can easily add
             FIRST to make thi...
Guided Practice
  9 + 1 + 25 =
              Any numbers you

9 + 1 = 10     can easily add
             FIRST to make thi...
Guided Practice
  9 + 1 + 25 =
              Any numbers you

9 + 1 = 10     can easily add
             FIRST to make thi...
Guided Practice
7 + 13 + 19 =
Guided Practice
7 + 13 + 19 =
           Any numbers you
            can easily add
          FIRST to make this
         ...
Guided Practice
   7 + 13 + 19 =
               Any numbers you

7 + 13 = 20     can easily add
              FIRST to mak...
Guided Practice
   7 + 13 + 19 =
               Any numbers you

7 + 13 = 20     can easily add
              FIRST to mak...
Guided Practice
   7 + 13 + 19 =
               Any numbers you

7 + 13 = 20     can easily add
              FIRST to mak...
Guided Practice

29 + 37 =
Guided Practice
             Remember, this is

29 + 37 =    COMPENSATION
             with adding. ADD
             somet...
Guided Practice
+1             Remember, this is

29 + 37 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+1      -1     Remember, this is

29 + 37 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+1      -1     Remember, this is

29 + 37 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+1      -1     Remember, this is

29 + 37 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+1      -1     Remember, this is

29 + 37 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+1      -1     Remember, this is

29 + 37 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice

67 + 14 =
Guided Practice
             Remember, this is

67 + 14 =    COMPENSATION
             with adding. ADD
             somet...
Guided Practice
+3             Remember, this is

67 + 14 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+3      -3     Remember, this is

67 + 14 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+3      -3     Remember, this is

67 + 14 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+3      -3     Remember, this is

67 + 14 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+3      -3     Remember, this is

67 + 14 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice
+3      -3     Remember, this is

67 + 14 =      COMPENSATION
               with adding. ADD
            ...
Guided Practice

38 - 19 =
Guided Practice
             Remember, this is

38 - 19 =    COMPENSATION
             with subtracting.
             ADD ...
Guided Practice
+2             Remember, this is

38 - 19 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
+2      +2     Remember, this is

38 - 19 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
+2      +2     Remember, this is

38 - 19 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
+2      +2     Remember, this is

38 - 19 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
+2      +2     Remember, this is

38 - 19 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
+2      +2     Remember, this is

38 - 19 =      COMPENSATION
               with subtracting.
           ...
Guided Practice

89 - 37 =
Guided Practice
             Remember, this is

89 - 37 =    COMPENSATION
             with subtracting.
             ADD ...
Guided Practice
-4             Remember, this is

89 - 37 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
-4      -4     Remember, this is

89 - 37 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
-4      -4     Remember, this is

89 - 37 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
-4      -4     Remember, this is

89 - 37 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
-4      -4     Remember, this is

89 - 37 =      COMPENSATION
               with subtracting.
           ...
Guided Practice
-4      -4     Remember, this is

89 - 37 =      COMPENSATION
               with subtracting.
           ...
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
2-2 Mental Math: Using Compatible Numbers and Compensation
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2-2 Mental Math: Using Compatible Numbers and Compensation

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  • 2-2 Mental Math: Using Compatible Numbers and Compensation

    1. 1. 2-2 Mental Math: Using Compatible #s and Compensation Math Notes Mathematical Reasoning 1.0
    2. 2. Compatible Numbers Compatible numbers are numbers that are easy to compute mentally. 19 + 25 + 11 = 30 + 25 = 55
    3. 3. Compensation Numbers Compensation involves deciding which number to adjust to make it easier to add or subtract. Compensate by changing the other number. 47 + 16 Add 3 Subtract 3 to adjust 50 + 13 = 63
    4. 4. Compensation Numbers Compensation involves deciding which number to adjust to make it easier to add or subtract. Compensate by changing the other number. 73 - 38 Add 2 Add 2 to adjust 75 - 40 = 35
    5. 5. Guided Practice 9 + 1 + 25 = Any numbers you 9 + 1 = 10 can easily add FIRST to make this easier? 10 + 25 = __
    6. 6. Guided Practice 9 + 1 + 25 =
    7. 7. Guided Practice 9 + 1 + 25 = Any numbers you can easily add FIRST to make this easier?
    8. 8. Guided Practice 9 + 1 + 25 = Any numbers you 9 + 1 = 10 can easily add FIRST to make this easier?
    9. 9. Guided Practice 9 + 1 + 25 = Any numbers you 9 + 1 = 10 can easily add FIRST to make this easier? 10 + 25 = __
    10. 10. Guided Practice 9 + 1 + 25 = Any numbers you 9 + 1 = 10 can easily add FIRST to make this easier? 35 10 + 25 = __
    11. 11. Guided Practice 7 + 13 + 19 =
    12. 12. Guided Practice 7 + 13 + 19 = Any numbers you can easily add FIRST to make this easier?
    13. 13. Guided Practice 7 + 13 + 19 = Any numbers you 7 + 13 = 20 can easily add FIRST to make this easier?
    14. 14. Guided Practice 7 + 13 + 19 = Any numbers you 7 + 13 = 20 can easily add FIRST to make this easier? 20 + 19 = __
    15. 15. Guided Practice 7 + 13 + 19 = Any numbers you 7 + 13 = 20 can easily add FIRST to make this easier? 39 20 + 19 = __
    16. 16. Guided Practice 29 + 37 =
    17. 17. Guided Practice Remember, this is 29 + 37 = COMPENSATION with adding. ADD something, TAKE something away.
    18. 18. Guided Practice +1 Remember, this is 29 + 37 = COMPENSATION with adding. ADD something, TAKE something away.
    19. 19. Guided Practice +1 -1 Remember, this is 29 + 37 = COMPENSATION with adding. ADD something, TAKE something away.
    20. 20. Guided Practice +1 -1 Remember, this is 29 + 37 = COMPENSATION with adding. ADD something, TAKE something away. 30
    21. 21. Guided Practice +1 -1 Remember, this is 29 + 37 = COMPENSATION with adding. ADD something, TAKE something away. 30 36
    22. 22. Guided Practice +1 -1 Remember, this is 29 + 37 = COMPENSATION with adding. ADD something, TAKE something away. 30 36 30 + 36 = __
    23. 23. Guided Practice +1 -1 Remember, this is 29 + 37 = COMPENSATION with adding. ADD something, TAKE something away. 30 36 30 + 36 = 66 __
    24. 24. Guided Practice 67 + 14 =
    25. 25. Guided Practice Remember, this is 67 + 14 = COMPENSATION with adding. ADD something, TAKE something away.
    26. 26. Guided Practice +3 Remember, this is 67 + 14 = COMPENSATION with adding. ADD something, TAKE something away.
    27. 27. Guided Practice +3 -3 Remember, this is 67 + 14 = COMPENSATION with adding. ADD something, TAKE something away.
    28. 28. Guided Practice +3 -3 Remember, this is 67 + 14 = COMPENSATION with adding. ADD something, TAKE something away. 70
    29. 29. Guided Practice +3 -3 Remember, this is 67 + 14 = COMPENSATION with adding. ADD something, TAKE something away. 70 11
    30. 30. Guided Practice +3 -3 Remember, this is 67 + 14 = COMPENSATION with adding. ADD something, TAKE something away. 70 11 70 + 11 = __
    31. 31. Guided Practice +3 -3 Remember, this is 67 + 14 = COMPENSATION with adding. ADD something, TAKE something away. 70 11 81 70 + 11 = __
    32. 32. Guided Practice 38 - 19 =
    33. 33. Guided Practice Remember, this is 38 - 19 = COMPENSATION with subtracting. ADD something to BOTH numbers.
    34. 34. Guided Practice +2 Remember, this is 38 - 19 = COMPENSATION with subtracting. ADD something to BOTH numbers.
    35. 35. Guided Practice +2 +2 Remember, this is 38 - 19 = COMPENSATION with subtracting. ADD something to BOTH numbers.
    36. 36. Guided Practice +2 +2 Remember, this is 38 - 19 = COMPENSATION with subtracting. ADD something to BOTH numbers. 40
    37. 37. Guided Practice +2 +2 Remember, this is 38 - 19 = COMPENSATION with subtracting. ADD something to BOTH numbers. 40 21
    38. 38. Guided Practice +2 +2 Remember, this is 38 - 19 = COMPENSATION with subtracting. ADD something to BOTH numbers. 40 21 40 - 21 = __
    39. 39. Guided Practice +2 +2 Remember, this is 38 - 19 = COMPENSATION with subtracting. ADD something to BOTH numbers. 40 21 19 40 - 21 = __
    40. 40. Guided Practice 89 - 37 =
    41. 41. Guided Practice Remember, this is 89 - 37 = COMPENSATION with subtracting. ADD something to BOTH numbers.
    42. 42. Guided Practice -4 Remember, this is 89 - 37 = COMPENSATION with subtracting. ADD something to BOTH numbers.
    43. 43. Guided Practice -4 -4 Remember, this is 89 - 37 = COMPENSATION with subtracting. ADD something to BOTH numbers.
    44. 44. Guided Practice -4 -4 Remember, this is 89 - 37 = COMPENSATION with subtracting. ADD something to BOTH numbers. 85
    45. 45. Guided Practice -4 -4 Remember, this is 89 - 37 = COMPENSATION with subtracting. ADD something to BOTH numbers. 85 33
    46. 46. Guided Practice -4 -4 Remember, this is 89 - 37 = COMPENSATION with subtracting. ADD something to BOTH numbers. 85 33 85 - 33 = __
    47. 47. Guided Practice -4 -4 Remember, this is 89 - 37 = COMPENSATION with subtracting. ADD something to BOTH numbers. 85 33 85 - 33 = 52 __

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