The Math Content Team has released new multiple choice, select all that apply, and fill-in questions that are aligned to the Common Core for the 7th grade. The questions in this content release refer to the domain “Ratios and Proportional Relationships.” The following standards are included in the new content release:
- 7.RP.2 – Recognize and represent proportional relationships between quantities.
- 7.RP.2A – Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
- 7.RP.2B – Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- 7.RP.2C – Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
- 7.RP.2D – Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Sample tasks that students are asked to complete:
- Determine which graph represents a proportional relationship.
- Determine which situations represent a proportional relationship.
- Find the constant of proportionality from a graph.
- Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.
Sample Questions and Reasons
