Curriculum placement
Grade 6. This describes the skill, not a learner estimate.
Understanding ratios
Represent a ratio and explain the quantities being compared
Problem types
- Equivalent ratios
- Select the true ratio statements
- Write, simplify and use ratios
- Set up a unit conversion proportion
- Select the groups that keep a ratio
- A part and the whole from a ratio
Builds on
- A fraction as division
- Two patterns on one graph · Earlier idea
In a multiplicative rule every pair of values has the same ratio of $y$ to $x$. That constant ratio is what equivalent ratios share.
- Generating equivalent fractions · Earlier idea
Equivalent fractions and equivalent ratios both come from multiplying the two parts by one number. Checking whether a group keeps a ratio uses the same scaling that checks a fraction.
- Additive and multiplicative comparison · Earlier idea
Saying one amount is a number of times another compares two quantities by multiplication, which is a ratio.
Leads to
Related skills
- Comparing fractions · Related idea
Comparing fractions with the same denominator or numerator is the same reasoning as comparing ratios of equal parts.
- Fractions shown by a model · Related idea
A part-to-whole ratio is a fraction of the whole, while a ratio can also compare two parts.
- Telling rationals from irrationals · Shared foundations
- Dividing with unit fractions · Shared foundations
Open the interactive map to explore lessons and skill connections.