Multiplying and dividing fractions

Term 1 starting in week 5 :: Estimated time: 2 weeks

Represent multiplication of fractions
Multiply a fraction by an integer
Find the product of a pair of unit fractions
Find the product of a pair of any fractions
Divide an integer by a fraction
Divide a fraction by a unit fraction
Understand and use the reciprocal
Divide any pair of fractions
Multiply and divide improper and mixed fractions
Multiply and divide algebraic fractions

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Activities for pupils

Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

Fractions Video So many people can't remember how to add, subtract, multiply and divide fractions so here is a reminder.

Fractions by Wholes An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers.

Fractions A series of self-marking exercises on adding, subtracting, multiplying and dividing fractions.

Fractionagons Calculate the missing fractions in these partly completed arithmagon puzzles.

Fraction of ... Practise your ability to find a fraction of a given amount with this self marking exercise.

Improper Fractions A self-marking online exercise on converting improper fractions to mixed numbers and vice versa.

Polygon Areas Investigate which polygons have an area of 4 square units on this interactive dotty grid.

Algebraic Fractions A mixture of algebraic fraction calculations and simplifications.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Fractions A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value. Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa. Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.

Lesson Starters

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

1st Lesson

Memor Sea

Twelve numbers in a seascape need to be memorised in order to answer the five questions.

2nd Lesson

Small Satisfaction

Arrange the digits one to nine in the grid so that they obey the row and column headings.

3rd Lesson

Lemon Law

Change the numbers on the apples so that the number on the lemon is the given total.

4th Lesson

Letters in a Number

Questions about the number of letters in numbers.

5th Lesson

Consecy Brothers

Which three consecutive numbers multiplied together give the given answer.

6th Lesson

Eleven Plus Two

Rearrange the letters in the expression 'Eleven Plus Two' to make another expression with the same value.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.

White Rose Resources

End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered.