Decimals and Fractions

Help your class extend their understanding of decimals and fractions with this great scheme of work for Year 5. Exploring how they can convert fractions and decimals to find equivalents, as well as how to solve addition, subtraction and multiplication problems involving fractions, children will be able to apply their understanding of proportion in new contexts and hone their skills through a variety of fun and challenging activities.

With lesson plans, whole-class slideshow presentations, differentiated activities and a range of printable worksheets, games and other resources, this KS2 ‘Decimals and Fractions’ scheme of work is completely ready to teach and enjoy in the classroom.

 

Matches and Equivalents

This scheme of work starts off by thinking of different ways of expressing the shaded proportion of a shape using fractions and decimals. Children will then go on to recap the value of each digit in numbers with three decimal places, and the difference between proper, improper and mixed number fractions. They are then challenged to find equivalents between decimals and fractions in a variety of forms, and how to convert from one to the other.

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Comparing and Ordering

This lesson starts recapping the difference between a numerator and a denominator before exploring how your class can compare and order fractions whose denominators are all multiples of the same number. Starting with comparing two fractions, they will then challenge themselves further once they are secure with this by ordering sets of fractions that all have different denominators.

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Adding and Subtracting

Now that your class can convert fractions so that they have a common denominator, they will explore how they can add and subtract fractions whose denominators are all multiples of the same number. They will also be challenged to convert any answers that are improper fractions into mixed number fractions.

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Multiplying by Whole Numbers

Moving on to multiplication, this lesson looks at how proper fractions can be multiplied by whole numbers. Your class will start by using diagrams to help them grasp the concept before moving on to converting the whole number to a fraction and multiplying the numerator by the numerator and the denominator by the denominator. They are also challenged to convert any answers that are improper fractions into mixed number fractions.

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Multiplying Mixed Numbers

In the final lesson of this series, children will recap how to multiply a proper fraction by a whole number before looking at how they can multiply a mixed number fraction by a whole number. They will do this by converting the mixed number into an improper fraction. With increasingly challenging calculations, children can apply this to real-life problems and recap their learning throughout the week in a fun game to round off the week’s learning.

View Lesson 5

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