Subject
Grade
Big Idea
Proportional reasoning is used to make sense of multiplicative relationships.
Elaboration
- reasoning about comparisons of relative size or scale instead of numerical difference
- the multiplicative relationship between two numbers or measures is a relationship of scale rather than an additive difference (e.g., “12 is three times the size of 4” is a multiplicative relationship; “12 is 8 more than 4” is an additive relationship)
- Sample questions to support inquiry with students:
- How are proportions used to describe changes in size?
- How are proportions used to solve problems in different contexts?
- How can proportions be used to represent and analyze rates of change?
- As the proportions of a shape change, what happens to the angles?
keywords
Proportional reasoning
multiplicative