Ratio and scale

Term 1 starting in week 1 :: Estimated time: 2 weeks

Understand the meaning and representation of ratio
Understand and use ratio notation
Solve problems involving ratios of the form 1:n (or n:1)
Solve proportional problems involving the ratio m:n
Divide a value into a given ratio
Express ratios in ther simplest integer form
Express ratios in the form 1:n
Compare ratios and related fractions
Understand IT as the ratio between diameter and circumference
Understand gradient of a line as a ratio

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Activities for pupils

Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

Gradient of a Line Practise the skill of finding the gradients of straight lines by counting squares and dividing rise by run.

Ratio A self marking exercise on using ratio notation, reducing a ratio to its simplest form and dividing a given quantity into a number of parts in proportion to a given ratio.

Double, Double, Halve and Treble Questions about scaling up the ingredients in the correct proportion for the witch's brew at Hallowe'en.

Ratio Video Learn to work with ratios including dividing a quantity in a given ratio.

Dividing in a Ratio A slide presentation showing how to divide a quantity in a given ratio

Ratios vs Fractions Relate the language of ratios and the associated calculations to the arithmetic of fractions.

Recipe Ratios Learn the mathematics required to adapt recipes to serve a different number of people.

Circles Practise using pi to calculate various circle measurements. There are six levels of difficulty.

Ratio Clues Arrange the ratio clues in the clouds in a logical order to work out the values of the twelve letters.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Ratio A ratio is a relationship between two numbers of the same kind. In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. This topic presents a number if different ways pupils can represent ratios and apply their meaning to problem solving situations.

Lesson Starters

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

1st Lesson

Aunty Dotty

A real life situation requiring the division an amount of money according to a given ratio.

2nd Lesson

Big Bieber

If the dimensions of an object double, its volume increases by a factor of eight.

3rd Lesson

Family Buses

Fit families onto eleven seater buses without splitting up the families.

4th Lesson

Four Problems

For mathematical questions to get everyone thinking at the beginning of the lesson.

5th Lesson

Mystery Numbers

Can you recognise the mystery numbers from the clues?

6th Lesson

Add 'em

Add up a sequence of consecutive numbers. Can you find a quick way to do it?

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.

White Rose Resources

End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered.