Adding 3 Digits With Regrouping - Grade 3
Regrouping has several names. We also call it trading or borrowing. Basically it means that an addition or subtraction computation cannot be completed without involving the adjacent numbers. See Full Product Description.
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Regrouping has several names. We also call it trading or borrowing. Basically it means that an addition or subtraction computation cannot be completed without involving the adjacent numbers. The root of regrouping is place value, so make sure you are teaching these two concepts at the same time. If you are teaching in the primary grades, do not despair if your students do not grasp this lesson. They will have it many times over, even in the intermediate grades. Please see below for a selection of Leveled Lessons for Below Level (basic), On Level (median), and Above Level (competent) readers.
Obtain some one-inch square graph paper and cut it into strips of ten squares. Give these to your students along with some counters such as pennies, Unifix® cubes or chips. Tell your students that each square can hold only one counter. Then do some hands-on addition problems that are easy, such as: get out 2 counters and put them on the strip. Now add 4 counters and put them on the strip too. Have students count to tell you how many you have in all. Write the problem on the board 2+4 = 6. Continue doing this, but make all of the answers be under 10; that way they will all fit on the strip.
Then do a trick problem such as 8 + 3. Suddenly there is no room for the extra counter. What can we do? We have to get a second strip. Continue to build on these skills until you need a third strip. Repeat this game for several days before expecting students to do the operation with abstract numbers and no counters.