Multiply a proper fraction by a whole number
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Why this why now
This unit builds both on prior learning where pupils calculated the value of a part of a set using unit fractions as operators and on more recent learning calculating with mixed numbers. In this unit, pupils relate repeated addition of unit fractions to multiplication of fractions before multiplying proper fractions by whole numbers both within and greater than a whole. This will prepare them for multiplying improper fractions and mixed numbers by a whole number.
Prior knowledge requirements
- Recognise and represent proper fractions
- Understand multiplication as repeated addition
- Use visual models to show groups of fractions
Threads
Why this why now
This unit builds both on prior learning where pupils calculated the value of a part of a set using unit fractions as operators and on more recent learning calculating with mixed numbers. In this unit, pupils relate repeated addition of unit fractions to multiplication of fractions before multiplying proper fractions by whole numbers both within and greater than a whole. This will prepare them for multiplying improper fractions and mixed numbers by a whole number.
Prior knowledge requirements
- Recognise and represent proper fractions
- Understand multiplication as repeated addition
- Use visual models to show groups of fractions
Multiply a proper fraction by a whole number
In this unit pupils will explain the relationship between repeated addition of a proper fraction and multiplication of fractions with both unit and not-unit fractions. They will multiply a proper fraction by a whole number.
5 lessons in unit
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