Multiplication as scaling (stretching and shrinking)

New Zealand Curriculum: Level 3

Learning Progression Frameworks: Multiplicative thinking, Signpost 4 to Signpost 5

Target students

These activities are intended for students who understand multiplication as the repeated addition of equals sets, and who know some basic multiplication facts.

The following diagnostic questions indicate students’ understanding of, and ability to apply, multiplication and division to situations that involve scaling. The questions are given in order of complexity. If the student answers a question confidently and with understanding proceed to the next question.  If not, use the supporting activities to build and strengthen their fluency and understanding. When presenting the questions, allow access to pencil and paper but not to a calculator unless stated. (show diagnostic questions)

Teaching activities