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Ratios, Rates & Smart Shopping

Idea 2of 22Builds onA ratio compares two amounts

Part to part

How do you compare one part of a set with another part?

Today you'll discover

  • what a part of a set is
  • which number goes first
  • how to compare the two parts either way

Think first3 orange and 5 blue on one tray

What is the ratio of orange counters to blue counters?

Decide first, then press Next. Read which colour the question names first.

3 orange circles and 5 blue squares on a tray, with the line orange to blue equals 3 to 5; then the line blue to orange equals 5 to 3 under it. Then a tray of 6 orange and 9 blue. The last step shows 5 orange and 2 blue.

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

The big idea

A part-to-part ratio compares one part of a set with another part.

In a class12 girls and 10 boys: girls to boys is 12 : 10. Both numbers are parts of the class.

Easy to get wrongA part-to-part ratio never uses the total. With 3 orange and 5 blue, orange to blue is 3 : 5, not 3 : 8.

Key word

part-to-part ratio
a ratio that compares one part of a set with another part, like orange counters to blue counters

Ready to use it?

  • Write a part-to-part ratio for two colours.
  • Write the same two parts in the other order.
Practise this idea