# Teaching for mastery in primary maths

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## Calculating with percentages

• Year group: Year 6
• Term: Spring
• Topic: Percentages
• Duration: 2 weeks
• Keystage: KS2
• Age Range: 10 to 11 yrs
• Unit can be taught out of sequence: N
• Week Range: 3 - 4

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.

## Resources for this topic

### White Rose Maths

#### Reasoning - Problem Solving - Number (KS1) & Fractions and Percentages (KS2) - March 15th

There are two problems for KS1 and three for KS2.

In KS1 children have to work out what prizes can be claimed for a certain number of tokens. They then have to use reasoning to work out the value of a particular object.

At KS2 children solve problems using fractions and percentages. Q3 requires a little more thought and children may benefit from using a bar model or other diagram to help them solve it.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.

#### Percentage of an amount

Fluency, reasoning and problem solving on percentages of an amount.

### Mathematics Mastery

#### Calculating with percentages

Deepening pupils’ understanding of key mathematical ideas is a core element of the Mathematics Mastery programme.

Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.

Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slower-graspers and depth tasks to challenge higher-attaining pupils.

• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Calculating with percentages

Deepening pupils’ understanding of key mathematical ideas is a core element of the Mathematics Mastery programme.

Our Key Constructs highlight the essential mathematical concepts all pupils are expected to grasp within each year group, with accompanying guidance for assessing pupil progress.

Our Key Constructs are closely aligned to the National Curriculum’s objectives. We know these can be tricky to evidence, so we’ve included an example task for each concept, as well as ideas to support slower-graspers and depth tasks to challenge higher-attaining pupils.

• Pupils should work through the tasks independently
• Teachers should incorporate the CPA approach to support pupils’ learning
• Opportunities for depth and scaffolding are built into each task

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Calculating with percentages

Developing pupils’ problem solving skills is a key element of the Mathematics Mastery programme.

This task sheet focuses on calculating with percentages and can be used in two ways. 1. To support parents with their child(ren)’s learning at home, helping them to develop their mathematical understanding beyond the classroom environment. 2. For teachers to use this resource as a basis for a classroom activity, helping pupils to practise and consolidate their understanding.

• Each task is accompanied by guidance to support parents with concepts and methods they may be less familiar with
• For the classroom, you can introduce this as an independent task or in mixed attainment pairs to encourage mathematical discussion

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

### Resources shared by teachers

#### Year 6 - Percentages - Spring week 3- equivalent FDP and finding a percentage of an amount

Year 6 – Percentages – Week 3 – fractions to percentages, equivalent FDP and finding a percentage of an amount

This pack of resources covers Year 6 percentages for week 3 of the spring term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) and bar modelling is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 3 includes worksheets and activities on:
- Fractions to percentages
- Equivalent FDP
-Finding a percentage of an amount

I hope you find the resources useful. Feedback is very welcome.

#### Year 6 - Percentages - Spring week 4 – missing values, percentage increase and decrease, order FDP

Year 6 – Percentages – Spring week 4 – missing values, percentage increase and decrease, ordering FDP

This pack of resources covers Year 6 percentages for week 4 of the spring term. The resources support a mastery approach to teaching mathematics. CPA (Concrete-Pictorial-Abstract) and bar modelling is promoted throughout therefore ensuring you have appropriate concrete resources in your classroom is recommended to make full use of the packs.

Week 4 includes worksheets and activities on:
- Finding missing values
- Percentage increase and decrease
- Ordering FDP

I hope you find the resources useful. Feedback is very welcome.

#### Simple Percentages

Level 4-5 Percentage Activities

#### Maths: Percentages without a calculator worksheets

Need to spice up this rather dry topic. For this dot to dot have students join question number to answer, e.g. Q1 find 10% of 80 so join 1 to 8. You must say to them to then do Q8 rather than 2 for two reasons: 1. it's quicker as you know where dot 8 is and don&'t need to waste time searching for dot 2. 2. The questions gradually get harder around the shape.

#### Percentages without a Calculator

A comprehensive lesson for a range of abilities on percents without a calculator. Some aspects have been taken from other members on here and modified to suit my lesson. Have a look and let me know what you think.

#### Smuggle

Based on the card game, pupils use their percentage and fibbing skills to win.

#### Percentage Game

This game is designed to help students work out percentages in a fun way. They should first be taught strategies for working out percentages, and a table is included to help with calculations. All 6 items are part of this game.

#### Treasure hunt - Percentage Increase and Decrease

Ideal for KS3 and GCSE students. Treasure hunt for pupils to practise calculating percentage increases and decreases (including working in reverse to find quantity before increase/decrease). This is ideal revision.

#### Percentages to Decimals Matching Pairs Game

A fun competitive interactive whiteboard game in which two teams take it in turns to match percentages, decimals and fractions. The game keeps score and has a built in timer in the event of a draw. This game won a Microsoft innovation award.

A creator version is available to buy to make your own games

#### Fractions, Decimals, Percentages

Tarsia for conversions of fractions, decimals, percentages

#### Reasoning - Problem Solving - Number (KS1) & Fractions and Percentages (KS2) - March 15th

There are two problems for KS1 and three for KS2.

In KS1 children have to work out what prizes can be claimed for a certain number of tokens. They then have to use reasoning to work out the value of a particular object.

At KS2 children solve problems using fractions and percentages. Q3 requires a little more thought and children may benefit from using a bar model or other diagram to help them solve it.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.