Fractions in ratios

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New Zealand Curriculum: Level 3-4

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

Target students

These activities are intended for students who have some previous experience with treating fractions as numbers. This should include a well-developed understanding of the meaning of the numerator and denominator. Students should also have well-developed knowledge of multiplication facts.

The following diagnostic questions indicate students’ understanding of, and ability to represent the part-whole relationships in one or more ratios as fractions. A connected cube model is used to gauge students’ ability to recognise the fractions created within ratios. 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. Allow access to pencil and paper. (show diagnostic questions)

Teaching activities