Ratio
Term 2 starting in week 1 :: Estimated time: 2 weeks
- Using ratio language
- Ratio and fractions
- Introducing the ratio symbol
- Calculating ratio
- Using scale factors
- Calculating scale factors
- Ratio and proportion problems
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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.
Multitude Arrange the given digits to make three numbers such that the third is the product of the first and the second.
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.
Ratio Video Learn to work with ratios including dividing a quantity in a given ratio.
Ratios vs Fractions Relate the language of ratios and the associated calculations to the arithmetic of fractions.
Ratio Clues Arrange the ratio clues in the clouds in a logical order to work out the values of the twelve letters.
Scale Factors Video The scale factor, area factor and volume factor of similar shapes are quite different.
Similar Shapes Questions about the scale factors of lengths, areas and volumes of similar shapes.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- Enlargements When areas and volumes are enlarged the results are far from intuitive. Doubling the dimensions of a rectangle produces a similar shape with four times the area! Doubling the dimensions of a cuboid produces a similar shape with eight times the volume! The activities provided are intended to give pupils experiences of dealing with enlargements so that they better understand the concept and are able to produce diagrams, make models and answer questions on this subject. Once positive integer scale factors have been mastered the notion of fractional and negative scale factors await discovery!
- 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
What are they?
A starter about sums, products, differences, ratios, square and prime numbers.
3rd Lesson
Plant More Trees
If six girls can plant 90 trees in a day. How many trees can ten girls plant in a day? The unitary method.
4th Lesson
Aunt Sophie's Post Office
Work out the number of stamps needed to post a parcel.
5th Lesson
Bridge Crossing
The classic puzzle of finding a route which crosses each bridge once.
6th Lesson
Cars
Calculate the total cost of four cars from the information given.
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.
