# Any parallelogram can be decomposed and the parts rearranged to form a rectangular parallelogram

I can explain how any parallelogram can be decomposed and the parts rearranged to form a rectangular parallelogram.

# Any parallelogram can be decomposed and the parts rearranged to form a rectangular parallelogram

I can explain how any parallelogram can be decomposed and the parts rearranged to form a rectangular parallelogram.

## Lesson details

### Key learning points

- The area of a parallelogram is equal to the area of the rectangle created by rearranging the parts.
- A parallelogram can be decomposed into a rectangle and 2 identical triangles.
- Rearranging the parts of a parallelogram helps to calculate the area.

### Common misconception

Pupils who have learned about parallelograms often have a fixed idea of what they look like and do not realise that squares and other kinds of rectangles are also parallelograms.

The lesson defines parallelograms, giving three criteria, including parallel sides and equal pairs of opposite angles. Reinforce with pupils that these match the set criteria.

### Keywords

Parallelogram - A parallelogram is a quadrilateral with two pairs of parallel and equal sides.

### 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

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