Year 5 - Maths
Solve comparison and change problems in a range of contexts
Compare and describe measurements using knowledge of multiplication and division
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn to compare and describe measurements using multiplication and division, applying their understanding of scaling as a structure of multiplication.
Lesson Summary
You will learn to solve comparison and change problems in a range of contexts.
Key Notes
- Change can be described using multiplication or division. Division can be represented as multiplication by a fraction.
- The sentence 'The __________ is ___ times the size of the __________' supports us to describe a comparison or change.
- If units are different, we should convert so that they are the same - this supports us to calculate.
- To find a missing factor, we can divide the product by the known factor.
Vocabulary To Learn
- Bar model: A bar model is a pictorial representation of a problem where bars are used to represent the known and unknown quantities.
- Multiplicative: A multiplicative relationship is a comparison between numbers that relates to multiplication (and hence division). In a multiplicative relationship, the parts are equal.
- Times the __________: Times the __________ is a phrase that is used to compare measures multiplicatively. For example, one tree might be 'three times the height' of another tree - it is three times as tall.
Common Mistakes To Avoid
- Manipulating equations can result in errors.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Change can be described using multiplication or division. Division can be represented as multiplication by a fraction. The sentence 'The __________ is ___ times the size of the __________' supports us to describe a comparison or change.
2. Use this key word in a maths sentence and explain it clearly. 'Bar model'
A bar model is a pictorial representation of a problem where bars are used to represent the known and unknown quantities. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Manipulating equations can result in errors. Correction: To find a missing factor, we can use known facts where applicable, or we can divide the product by the known factor. Always encourage children to describe each part of the equation and what it represents.
More Lessons In This Unit
- Compare and describe lengths using knowledge of division Study Guide
- Compare and describe lengths using knowledge of multiplication Study Guide
- Compare and describe measurements involving mass and capacity Study Guide
- Compare and describe measurements involving time and money Study Guide
- Describe changes in measurement using knowledge of multiplication and division Study Guide
- Solve comparison and change problems using division Study Guide
- Solve comparison and change problems using multiplication Study Guide
- Solve problems involving comparison and change Study Guide
- Use knowledge of multiplication and division to solve comparison and change problems Study Guide
Browse all guides in the Year 5 Maths guide library.