Using percentages to represent part-whole relationships

New Zealand Curriculum: Level 4

Learning Progression Frameworks: Multiplicative thinking, Signpost 6 to Signpost 7

Target students

These activities are intended for students who understand simple fractions, know most basic multiplication and division facts, and can apply multiplicative thinking to whole numbers. By the end of Level 3 students are expected to be applying multiplication and division to different contexts across all strands of mathematics and statistics.

The following diagnostic questions indicate students’ understanding of, and ability to use, percentages as a representation of part whole relationships. 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 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