Overshoot and Return: What is it?
Overshoot and return is an example of a number-line related strategy. This strategy can be used for addition and subtraction.
Overview
When using the strategy overshoot and return, students jump forward or backward to the nearest decade number, then take jumps of 10; or jump forwards or backwards by 10's from where they are. For example, to add 34 + 18 a child might think 34, 44, 54 (take mental jumps of 10) and land on 54 and subtract 2 to compensate for the 2 they added when making their initial jump of 20.
Supporting Students using 'Overshoot and Return'
Using number lines will support students using the overshoot and return strategy. As well, providing a context in which students can understand the problem and ‘act it out’ will make this strategy more accessible to students. For example: 64 people were on a bus. 30 got off at a popular spot. How many are left on the bus? The same question could then be posed for 64 - 29 and discuss how overshoot and return could be an efficient strategy for this problem.
As well, providing a sequence of questions can lead students to the overshoot and return strategy. For example, use 64-30 before 64-29.
Where to Next?
If students are proficient using 'overshoot and return', they can be encouraged to use 'constant difference' or efficient strategic methods.
Games & Activities to Support 'Overshoot and Return'
While playing this simple card game, students can be encouraged to use 'overshoot and return' to total the sum. This needs to be explicitly stated.
Choosing number strings that intentionally encourage 'overshoot and return' will help students to work with this strategy. Explicit conversation around this idea must occur for students to see the relationship.
Looking to learn more? Check out the recorded session!