Number: Percentages

Throughout these chapters, pupils see how their work with decimals and fractions connects with the concept of percentages.

Pupils will become increasingly aware of percentages through experience of them in their daily lives. They will appreciate that fractions, decimals and percentages are simply different ways of expressing proportions and make connections between all three of them. They will also see that percentages are most frequently used to express proportions.

Percentages: Teaching for mastery booklet

Brought to you by Tes in partnership with experts at Mathematics Mastery and the White Rose Maths Hub, this PDF provides teachers with the progression of learning for the topic, broken down into digestible chapters.

It is an ideal starting point for primary teachers looking to brush up on their subject knowledge, or adopt the mastery approach to maths in their classroom.

Check out the Teaching for mastery site, which contains schemes of work accompanied by quality-assured classroom resources.

Download resources to match this topic in the planning and lesson resources pages of the new primary maths section.

By TES Resource Team

Teacher's guide: Teaching for mastery booklet

Brought to you by Tes in partnership with experts at Mathematics Mastery and the White Rose Maths Hub, this PDF provides teachers with the progression of learning for the topic, broken down into digestible chapters.

It is an ideal starting point for primary teachers looking to brush up on their subject knowledge, or adopt the mastery approach to maths in their classroom.

Check out the Teaching for mastery site, which contains schemes of work accompanied by quality-assured classroom resources.

Download resources for all primary maths topics in the planning and lesson resources pages of the new primary maths section.

By TES Resource Team

Chapter 1: Introduction to percentages

In this chapter, pupils learn that the concept of per cent relates to the number of parts per hundred.

Pupils are formally introduced to the symbol for per cent (%) and understand that it refers to the number of parts per hundred. They make connections between percentages, fractions and decimals, and go on to write percentages as both a decimal and as a fraction with a denominator of 100.

Through the manipulation of objects and the drawing of diagrams, pupils learn that 100% represents a whole quantity. They know that 1% is1⁄100 , 50% is 50⁄100 and 25% is25⁄100 and relate this to finding fractions of amounts.

Pupils go on to solve problems using their knowledge of percentages and the decimal equivalents of 1⁄2, 1⁄4, 1⁄5, 2⁄5, 4⁄5. 

Chapter 2: Calculating with percentages

In this chapter, pupils use the equivalence between fractions, decimals and percentages.

As a result of their growing fluency in calculating with fractions and decimals, pupils recall and use equivalences between simple fractions, decimals and percentages.

By converting proportions expressed in percentages to either fractions or decimals, pupils solve a range of percentage problems in mathematical and real-life contexts.

Approved resources

Rainforest percentage and fraction word problems

A series of percentage and fraction real life questions based on the rainforest.
By AngelaJL

Related resources

Writing decimals as percentages- fluency, reasoning and problem solving

A worksheet split into three steps to deepen children's understanding through varied questions. Children have to answer questions about decimal and percentage equivalents in different ways to start to show they have mastered the concept. Children could cut out each section and stick into their books, answering underneath, to show their steps in learning clearly.
By bch89

Writing fractions as percentages

A worksheet split into three steps to deepen children's understanding through varied questions. Children have to answer questions about writing fractions as percentages in different ways to start to show they have mastered the concept. Children could cut out each section and stick into their books, answering underneath, to show their steps in learning clearly.
By bch89

Writing percentages as fractions and decimals

A worksheet split into three steps to deepen children's understanding through varied questions. Children have to answer questions about writing percentages as fractions and decimals in different ways to start to show they have mastered the concept. Children could cut out each section and stick into their books, answering underneath, to show their steps in learning clearly.
By bch89