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Level 4a

Number and Algebra

Chapter 3 - FRACTIONS





Overview of the chapter


Rich tasks

  • These are problem solving open-ended questions that require students to investigate the history of fractions, teach how to share when the answer is a fraction and to investigate equivalent fractions. These tasks can be given at the start of a topic and done as the students gain enough knowledge to complete them, inserted into a topic at an appropriate place, or given as homework or extension.
  1. Sharing
  2. History of Fractions
  3. Tangram fractions

> More on "Rich tasks for this Chapter"...



Fractions greater than 1

  • Convert between improper fractions and mixed fractions.

> More on "Fractions greater than 1"...



Equivalent fractions

  • Understand, identify and create equivalent fractions.
  • Simplify fractions to their simplest form.

> More on "Equivalent fractions"...



Adding and subtracting fractions

  • Draw diagrams to show addition of fractions with the same denominator.
  • Add and subtract fractions with the same denominator, giving answers as fractions and mixed fractions in their simplest from.

> More on "Adding and subtracting fractions"...



Comparing and ordering fractions using number lines and benchmarks

  • Using estimation and comparison with 1/2.
  • Estimating using number knowledge and deciding if fractions are greater or less than 1/2 and whether they are closer to 0, 1/2 or 1.
  • Using a number line.
  • By creating equivalent fractions (related denominators).

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Finding fraction of

  • Finding a fraction of a whole by finding a unit fraction first.

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Other Chapters in the NUMBER AND ALGEBRA strand:




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