# Problem solving with algebraic ratios

I can use my knowledge of ratio to solve problems.

# Problem solving with algebraic ratios

I can use my knowledge of ratio to solve problems.

## Lesson details

### Key learning points

- It is important to preserve the relationship between the parts of a ratio.
- There is a functional relationship between the quantities in a ratio.
- This relationship can be represented algebraically.

### Common misconception

Procedural understanding of sharing in a ratio where pupils add the parts, divide the amount by this and then multiply by each part without considering the information in the question.

In the lesson encourage pupils to look for keywords in the question which indicate if the amount given is the total, one part or the difference. The use of a bar model to display the information can also be used to help pupils.

### Keywords

Ratio - A ratio shows the relative sizes of two or more values and allows you to compare a part with another part in a whole.

Coordinates - Coordinates are a set of values that show an exact position.

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

Probability - The probability that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.

### 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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