Fractions as numbers

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 locate fractions in relation to whole numbers and other simple fractions. A number line is used to find out students’ understanding about the size of fractions in relation to other 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