# Problem solving with transformations

I can use my knowledge of transformations to solve problems.

# Problem solving with transformations

I can use my knowledge of transformations to solve problems.

## Lesson details

### Key learning points

- By understanding what changes and what is invariant, you can determine whether a transformation has occurred.
- Sometimes you might need to persevere in order to find the right transformation.
- You may be able to check your deductions by carrying out the transformation.

### Common misconception

When completing an inverse translation, students may believe they need to flip the vector.

Ask students to say in words how you would return to the starting point, to highlight the direction needed and then link to the vector.

### Keywords

Transformation - A transformation is a process that may change the size, orientation or position of a shape.

Object - The object is the starting figure, before a transformation has been applied.

Image - The image is the resulting figure, after a transformation has been applied.

### 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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## Starter quiz

### 6 Questions

$$+$$ -

$$-$$

$$\times$$ -

$$\div$$

$$-$$ -

$$+$$

$$\div$$ -

$$\times$$

A rotation -

by $${90^{\circ}}$$ clockwise about (3,4)

A reflection -

in the y-axis.

A translation -

by $${-1 \choose 5}$$

An enlargement -

by scale factor 0.25 from (0, 0)