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McGregor Grouping and Ungrouping Lesson
   Stack numbers
        Match up numbers on right
   Add numbers in each column
        Answer below “equals line”
   Add from right  left
   Does not matter which number on top/bottom



   KEEP THINGS NEAT!!!
McGregor Grouping and Ungrouping Lesson
1283 + 532 =



                 1283
               +532
               ------------
Cube = 1,000 units




      Square (flat) = 100 units




Long rectangle (long) = 10 units


            Small square (unit) = 1 unit
+
10 longs = 1 flat
After grouping…
1283
                       1
+ 532
                     1283
----------
                    + 532
       5
                    ----------
                         15
          1
        1283
       + 532
       ----------
        1815
+




374 + 258 = 632
11
                    374
                  +258
                  --------
                    632



374 + 258 = 632
Stack numbers
     Make sure larger number is on top
     Match up numbers on right
Subtract numbers in each column
Subtract from right  left




KEEP   THINGS NEAT!!!
1524
             - 853
             -----------
                      1


***Notice 5 cannot be subtracted from 2***
-



1524 – 853 = 671
Subtract 3 units(ones)




1524 – 853 = 671
Not enough longs (tens)
          to subtract from so…




1524 – 853 = 671
Break flat (hundred) into
                         longs (tens)

                         “UNGROUP”




1524 – 853 = 671
Now you can take the 5
                        tens away




1524 – 853 = 671
8 hundreds cannot be
   subtracted from only 4 so…

          UNGROUP!!!




1524 – 853 = 671
Break cube into its
     10 flats




   1524 – 853 = 671
Subtract 8 of the flats




     1524 – 853 = 671
Now just count what is left…




                     Flats (100) = 6
                     Longs (10) = 7
                     Units (1) = 1


                     600 + 70 + 1 = 671




         1524 – 853 = 671
1524
             - 853
             -----------
                      1


***Notice 5 cannot be subtracted from 2***
4 12
              1524
             - 853
             ---------
                  71

Break apart one of the hundreds (flats) and add
      the resulting tens (longs) to the two.
14
          0 4 12
          1524
         - 853
         ---------
            671

Break a thousand (cube) and add the
  hundreds to the existing hundreds.
McGregor Grouping and Ungrouping Lesson

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McGregor Grouping and Ungrouping Lesson

  • 2. Stack numbers  Match up numbers on right  Add numbers in each column  Answer below “equals line”  Add from right  left  Does not matter which number on top/bottom  KEEP THINGS NEAT!!!
  • 4. 1283 + 532 = 1283 +532 ------------
  • 5. Cube = 1,000 units Square (flat) = 100 units Long rectangle (long) = 10 units Small square (unit) = 1 unit
  • 6. +
  • 7. 10 longs = 1 flat
  • 9. 1283 1 + 532 1283 ---------- + 532 5 ---------- 15 1 1283 + 532 ---------- 1815
  • 10. + 374 + 258 = 632
  • 11. 11 374 +258 -------- 632 374 + 258 = 632
  • 12. Stack numbers  Make sure larger number is on top  Match up numbers on right Subtract numbers in each column Subtract from right  left KEEP THINGS NEAT!!!
  • 13. 1524 - 853 ----------- 1 ***Notice 5 cannot be subtracted from 2***
  • 14. - 1524 – 853 = 671
  • 16. Not enough longs (tens) to subtract from so… 1524 – 853 = 671
  • 17. Break flat (hundred) into longs (tens) “UNGROUP” 1524 – 853 = 671
  • 18. Now you can take the 5 tens away 1524 – 853 = 671
  • 19. 8 hundreds cannot be subtracted from only 4 so… UNGROUP!!! 1524 – 853 = 671
  • 20. Break cube into its 10 flats 1524 – 853 = 671
  • 21. Subtract 8 of the flats 1524 – 853 = 671
  • 22. Now just count what is left… Flats (100) = 6 Longs (10) = 7 Units (1) = 1 600 + 70 + 1 = 671 1524 – 853 = 671
  • 23. 1524 - 853 ----------- 1 ***Notice 5 cannot be subtracted from 2***
  • 24. 4 12 1524 - 853 --------- 71 Break apart one of the hundreds (flats) and add the resulting tens (longs) to the two.
  • 25. 14 0 4 12 1524 - 853 --------- 671 Break a thousand (cube) and add the hundreds to the existing hundreds.

Editor's Notes

  • #19: Notice the flat broken apart has now disappeared