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Ratios, Rates & Smart Shopping

Idea 3of 22Builds onPart to part

Part to whole

How do you compare one part with the whole set?

Today you'll discover

  • what the whole is
  • how part to whole is also a fraction
  • how it differs from part to part

Think first3 orange and 5 blue on one tray

What is the ratio of orange counters to all the counters?

Decide first, then press Next. Add the two colours to find the whole.

3 orange circles and 5 blue squares on a tray. Under it, the lines orange to all equals 3 to 8 and blue to all equals 5 to 8. Then 5 orange and 2 blue, orange to all 5 to 7; then 6 orange and 9 blue, orange to all 6 to 15. The last step shows 3 orange and 12 blue.

See the whole ideathe big idea and the key word, in one place

The big idea

A part-to-whole ratio compares one part with the whole set, like a fraction.

A fraction is part to wholeOrange to all, 3 : 8, says 3 out of 8 counters are orange. As a fraction, that is 3/8 of the tray.

Compare themPart to part: 3 : 5, orange to blue. Part to whole: 3 : 8, orange to every counter. Same tray, different question.

Key word

part-to-whole ratio
a ratio that compares one part of a set with the whole set, like orange counters to all the counters

Ready to use it?

  • Write a part-to-whole ratio.
  • Write a part-to-whole ratio as a fraction.
Practise this idea