Common Core · Grade 7
7.RP.A.2
Grade 7 — Recognise and represent proportional relationships, and find the constant of proportionality.
Grade 7 — Recognise and represent proportional relationships between quantities: test for proportionality, identify the constant of proportionality, and interpret the points (0, 0) and (1, r).
The 2 skills that cover it
- Ratios & ProportionsCompare quantities with ratios, find unit rates, and solve proportions that scale a relationship up or down.Read the lesson →
- Proportional RelationshipsRecognise when two quantities grow in lockstep, find the constant of proportionality from a table, a graph or an equation, and compare unit rates across representations.Read the lesson →
What a student should be able to do
- Write and simplify a ratio, and find an equivalent ratio.
- Compute a unit rate and use it to compare deals.
- Solve a proportion for an unknown value.
- Use proportional reasoning for scaling, recipes and maps.
- Decide whether a table, a graph or an equation shows a proportional relationship.
- Find the constant of proportionality k and write the equation y = kx.
- Read the unit rate off a graph as the y-value at x = 1 and interpret the point (1, k).
- Compare two proportional relationships given in different forms.