# Teaching for mastery in primary maths

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## Rates and scaling by fractions

• Year group: Year 5
• Term: Spring
• Topic: Ratio and proportion
• Duration: 1 weeks
• Keystage: KS2
• Age Range: 9 to 10 yrs
• Unit can be taught out of sequence: N
• Week Range: 9

In this chapter, pupils solve problems involving simple rates.

Bringing together learning from topics on multiplication, division and fractions, pupils prepare for subsequent work on solving problems involving ratio. For example, they may use inverse multiplication and division calculations to help them to multiply and divide by powers of 10 when interpreting scale drawings, or multiply and divide by powers of 1,000 in converting between units such as metres and kilometres.

## Resources for this topic

### White Rose Maths

#### Fractions

Direct link to our Y5 scheme.

#### Problem solving

Problem solving involving basic scales and fractions.

### Mathematics Mastery

#### Rates and scaling by fractions

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.
This activity explores the concept of rates and scaling by fractions.
• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

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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.

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### Resources shared by teachers

#### Fractions & Ratio Worksheet (Personalised)

A consolidating activity for KS3.

Two worksheets to choose from. Edit your chosen worksheet to input the first names of the children in your class.

The children can then work out the fraction and ratio of their names that fall into certain criteria.

Worksheet 1: Relies just on the first names of the children in the class, with no other knowledge required (e.g. number of vowels in the name)

Worksheet 2: Also requires research or prior knowledge of the others in the class before successfully completing the worksheet.

This worksheet can help children to discover the link between fractions and ratio.

#### Age of Giraffes - ratios and fractions

A have done a whole series of these. One of my pupils cannot get enough of them! She really enjoys calculating the age of all the animals. Everytime we do a new topic she requests an 'Age of Animals' sheet. This would be suitable for 11+ candidates.

#### Ratio and Proportions of Counters

Pupils tackle this worksheet after they have been given a grounding on what ratio and proportion are, how they a different, and how they are similar. They then follow the example to describe each tray of counters using proportions in the form of fractions, and ratios, both of which must be cancelled down or simplified where possible.