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# Number and Algebra

## Overview of the chapter

• 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

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#### Fractions greater than 1

• Convert between improper fractions and mixed fractions.

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#### Equivalent fractions

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

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• 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.

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#### 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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