Curriculum placement
Grade 7. This describes the skill, not a learner estimate.
Representing a proportional relationship
Identify and represent proportional relationships
Problem types
- Proportional cost
- Direct and inverse variation
- Sort relationships as proportional or not
- Read a proportional graph
- Find a proportional rule
- Choose the graph of a rate
Builds on
- Dependent and independent variables
- Equivalent ratios
- Two patterns on one graph · Earlier idea
Two patterns whose terms always have the same ratio form a proportional relationship.
- Dividing by a two-digit number · Useful idea
A unit price is a quotient: dividing the total price by the number of items gives the constant of proportionality.
- Additive and multiplicative comparison · Earlier idea
Saying one amount is n times another is a constant of proportionality: all pairs of amounts keep the same ratio.
Leads to
Related skills
- Linear growth against exponential growth · Related idea
A proportional relationship adds the same amount per unit, while exponential growth multiplies by the same factor, so growth-comparison contrasts them.
- What makes a relation a function · Shared foundations
- Percent of a number · Shared foundations
Open the interactive map to explore lessons and skill connections.