Fractions as operators

New Zealand Curriculum: Level 3

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

Target students

These activities are intended for students who have some previous experience with equal partitioning, such as finding lines of symmetry in shapes. It is preferable that they have knowledge of addition and multiplication facts though that is helpful but not essential.

The following diagnostic questions indicate students’ understanding of, and ability to apply fractions as multipliers operating on other numbers. At this level the multiplicand (second factor) is restricted to whole numbers. The questions are 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 and strengthen their fluency and understanding. Allow access to pencil and paper. (show diagnostic questions)

Teaching activities