Dividing a quantity into a given ratio
I can divide one quantity into a given ratio.
Dividing a quantity into a given ratio
I can divide one quantity into a given ratio.
Lesson details
Key learning points
- Context can make it easier to divide a quantity into a given ratio.
- Bar models can help to represent a situation.
- It is important that the parts are equal, otherwise the ratio is not represented correctly.
Common misconception
Always dividing the amount by the sum of the 'parts' of the ratio to get one 'part'.
Offer opportunities to match problems to bar models, ensure the same numbers are used to highlight the differences.
Keywords
Proportion - Variables are in proportion if they have a constant multiplicative relationship.
Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
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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Starter quiz
6 Questions
9 × $$\square$$ = 4 -
$$4\over9$$
$$\square$$ × 9 = $$3\over2$$ -
$$1\over6$$
9 × $$\square$$ = 12 -
$$4\over3$$
9 × $$\square$$ = 22.5 -
2.5
$$\square$$ × 9 = $$1\over3$$ -
$$1\over27$$
130 is $$\square$$ of 104 -
$$5\over4$$
$$\square$$ of 228 is 304 -
$$4\over3$$
412 is $$\square$$ of 515 -
$$4\over5$$
$$\square$$ of 964 is 723 -
$$3\over4$$
1209 is $$\square$$ of 2015 -
$$3\over5$$