Lesson · Grade 6 · Mathematics
Equivalent ratios: multiply or divide both numbers by the same number
- Grade 6
- Mathematics
- 1 min 11 s
- British Columbia
- BC6-MA-15
A tile pattern with 2 pink tiles for every 3 blue tiles gives the ratio 2:3, and repeating it to make 3 rows gives 6:9, with arrows showing that both numbers were multiplied by 3 (2 × 3 = 6, 3 × 3 = 9). Every row still holds 2 pink and 3 blue tiles, so the two ratios are equivalent, and dividing both numbers by 3 (6 ÷ 3 = 2, 9 ÷ 3 = 3) takes 6:9 back to 2:3 before the video ends on the rule: multiply or divide both numbers by the same number, not 0.
Concept: Equivalent ratios
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In one sentence
The question this lesson answers
What are equivalent ratios, and how do we make them?
A tile pattern has 2 pink tiles for every 3 blue tiles.
Transcript
What the lesson says
What are equivalent ratios, and how do we make them?
A tile pattern has 2 pink tiles for every 3 blue tiles.
So the ratio of pink to blue is 2 to 3.
Now repeat the pattern to make 3 rows.
Now there are 6 pink tiles and 9 blue tiles.
So the ratio of pink to blue is now 6 to 9.
Both numbers were multiplied by 3.
2 times 3 is 6, and 3 times 3 is 9.
Each row still has 2 pink tiles and 3 blue tiles.
So 2 to 3 and 6 to 9 are equivalent ratios.
We can also divide both numbers by 3 to go back.
6 divided by 3 is 2, and 9 divided by 3 is 3.
So 6 to 9 goes back to 2 to 3.
To make an equivalent ratio, multiply or divide both numbers by the same number, but not zero.
Curriculum
Where this fits
- British Columbia, Grade 6
Mathematics, Number: introduction to ratiosBC6-MA-15
Previous: What a ratio is: part to part and part to wholeNext: What a Percent Is: Parts of a Hundred
The outcomes and strands follow the British Columbia curriculum.
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