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Mathematics: Number
Level indicator: Level 1 - Identify half or quarter of a region Level 2 - Assign unit fraction symbols to regions Level 3i - Order unit fractions and fractions with like denominators Level 3ii - Order fractions with unlike numerators and denominators Level 4 - Convert fractions, decimals, and percentages Level 5

Fractions

Order unit fractions and fractions with like denominators

Fractions progression
About the Exemplars
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What the work shows

The task

The teacher gave the students two sets of fractions and asked them to put each set in order from smallest to largest. One set was a set of unit fractions (1 ÷ 10, 1 ÷ 8, 1 ÷ 4, 1 ÷ 3, 1 ÷ 2), and the other was a set of fractions with a common denominator (1 ÷ 4, 2 ÷ 4, 4 ÷ 4, 5 ÷ 4, 6 ÷ 4).

Images of student problem solving process

Mike's work shows that he is able to:

  • rank unit fractions from smallest to largest
  • rank fractions with common denominators from smallest to largest
  • state an understanding of rules for ranking both kinds of fractions.

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