# Use equivalence and compensation strategies to solve problems

You can use equivalence and compensation strategies to solve problems.

# Use equivalence and compensation strategies to solve problems

You can use equivalence and compensation strategies to solve problems.

## Lesson details

### Key learning points

- The part-whole structure can be used to represent additive problems.
- A bar model can be used to represent additive problems.
- A balance beam can be used to represent equivalence and compensation.

### Common misconception

Pupils might find it hard to understand that they needn't recalculate the parts after adjustment if the question wants the new whole.

Show jottings and workings for two examples side-by-side. In the 1st example, calculate all the parts after adjustment as well as the new whole. In the 2nd, calculate only the new whole. Discuss with the pupils which is the most efficient and why.

### Keywords

Equivalence - Equivalence is when two or more things have the same value.

Compensation - Compensation is a mental strategy which involves adjusting parts of an equation while maintaining equivalence.

Unknown - An unknown is a quantity that has a set value but it is represented by a symbol or letter.

Expression - An expression contains one or more values, where each value is separated by an operator.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

Loading...