Lesson · Grade 6 · Mathematics
What a ratio is: part to part and part to whole
- Grade 6
- Mathematics
- 1 min 5 s
- British Columbia
- BC6-MA-14
A box of 3 yellow and 5 pink marbles shows a part to part ratio: yellow to pink is 3:5, and swapping the order gives 5:3. The video then counts the whole, 3 + 5 = 8, to show the part to whole ratio 3:8, the same as the fraction 3/8, and ends on the recap that a ratio compares part to part or part to whole.
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In one sentence
The question this lesson answers
What is a ratio, and what can it compare?
A box holds 3 yellow marbles and 5 pink marbles.
Transcript
What the lesson says
What is a ratio, and what can it compare?
A box holds 3 yellow marbles and 5 pink marbles.
A ratio compares two amounts, and there are two kinds.
Part to part compares one group with the other group.
Yellow to pink is 3 to 5.
We write it with a colon, and read it as 3 to 5.
Order matters, so pink to yellow is 5 to 3.
The whole is all the marbles, and 3 plus 5 makes 8.
Part to whole compares one group with the whole.
Yellow to all the marbles is 3 to 8.
Part to whole works like a fraction, so three eighths of the marbles are yellow.
The same marbles give two different ratios, so always say what you are comparing.
A ratio compares a part with a part, or a part with the whole.
Curriculum
Where this fits
- British Columbia, Grade 6
Mathematics, Number: introduction to ratiosBC6-MA-14
Previous: Comparing fractions on a number lineNext: Equivalent ratios: multiply or divide both numbers by the same number
- British Columbia, Grade 7
Mathematics, Number: relationships between decimals, fractions, ratios, and percentsBC7-MA-33
Previous: Ordering fractions, decimals and percents together
This lesson is also listed in Grade 7.
The outcomes and strands follow the British Columbia curriculum.
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