Embedded Files
Overview
Overview
Overshoot and return is another version of compensation. In compensation, both numbers are adjusted before the calculations are done.
With overshoot and return, a round number is added or subtracted, then an amount is removed or added back to compensate for the rounding.
Addition
When finding a sum, numbers can be adjusted by adding an amount to one addend at the start of the calculation, and subtracting the same amount afterwards.
5 + 9 = 5 + (10 – 1)
Subtraction
In subtraction, if we have subtracted too much, then we need to add back the same amount afterwards.
17 - 9 = 17 – (10 + 1)
25 + 28 = 25 + 30 – 2
64 – 29 = 64 – 30 + 1
25 + 28 = 25 + 30 – 2
Supporting Students with Overshoot and Return
Supporting Students with Overshoot and Return
A visual like the one on the right that models 25 + 38 using overshoot and return helps students remember that two needs to be removed at the end of the calculation.
A number line can also help students see how the strategy works.
25 + 38
= 25 + 40 - 2
= 65 - 2
= 63
Games to Promote Overshoot and return
Games to Promote Overshoot and return
Overshoot and keep the change
In this game, students choose a game card with an addition question on it. They need to solve that questions using the "Overshoot and Return" strategy. They then keep the number of points that they had to "return" to solve the problem. The player with the fewest point at the end of the game wins.
Overshoot and keep the change instructions, questions cards and recording sheet (print 1 copy of the recording sheet per player)
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