Forming Fractions

Write a fraction (numerator over denominator) to represent a "part out of whole" description or a shaded diagram, including forming the complementary fraction for what remains, without needing to simplify (simplifying is a separate downstream LO).

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Introduction to Fractions, Ex 7.01, pg 103
  • Alpha textbook: Forming Fractions, Ex 7.02, pg 105
  • CorbettMaths on expressing fractionsQuestions PDF · Answers

Terminology

  • Fraction
  • Whole
  • Numerator
  • Denominator

Task goals

  • Identify the numerator and denominator from a shaded bar, circle, or hundred-square grid, and write the fraction they represent.
  • Form a fraction directly from a real-world "part out of whole" word description (e.g. slices eaten, students who are girls, sweets that are red).
  • Form the complementary fraction for what remains, given the stated part (e.g. spaces empty when spaces full are known).
  • Correctly total a whole across several categories before forming a fraction for just one category.
  • Compare two separately-formed fractions from different contexts to judge which represents a higher proportion.
  • Explain, using an example, what the numerator and denominator of a fraction each represent.

Key skills

  • Form fractions
  • Numerator
  • Denominator

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included