Rates – using multiplication and division

New Zealand Curriculum: Levels 4

Learning Progression Frameworks: Multiplicative Thinking, Signpost 6 to Signpost 8

Target students

These activities are intended for students who use a range of strategies for addition, subtraction, and multiplication of whole numbers. They should have knowledge of many basic facts for addition, subtraction, and multiplication.

The following diagnostic questions indicate students’ understanding of rates and how to find unknown values in a rate problem. Students must come to understand that both ‘between’ and ‘within’ measure strategies are valid and should develop their capacity for finding the multiplicative operator that connects measures. Allow access to pencil and paper. A calculator can be used to check answers if needed. (show diagnostic questions)

Teaching activities