Percentages as change (% can be more than 100)

New Zealand Curriculum: Level 4

Learning Progression Frameworks: Additive thinking, Signpost 8 to Signpost 9

Target students

These activities are intended for students who understand simple fractions, know most basic multiplication and division facts, and who apply multiplicative thinking to whole numbers. By the end of Level 3 of the New Zealand Curriculum, and Step 6 of the Learning Progression Framework, students are expected to apply multiplication and division to different contexts across all strands of the mathematics and statistics learning area.

The following diagnostic questions indicate students’ understanding of, and ability to use, percentages as a representation of comparison between two quantities, including in situations involving changing quantities. 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, then use the supporting activities to build or strengthen fluency and understanding. Allow access to pencil and paper but not to a calculator unless it is stated in the question. (show diagnostic questions)

Teaching activities