Year 7 - Maths
Checking and securing understanding of multiplication and division
Arithmetic procedures with integers and decimals
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils develop their ability and efficacy with the four operations including more complicated and challenging calculations involving fractions, decimals and negative numbers. This leads into an exploration of the priority order of operations.
Lesson Summary
You will learn to use the mathematical structures that underpin multiplication and division of positive integers.
Key Notes
- Multiplication can be made easier by considering factors.
- Division can be made easier by considering equivalent calculations.
- It can help to think of a context when doing a calculation.
Vocabulary To Learn
- Partitioning: Partitioning is the act of splitting an object or value down into smaller parts.
- Dividend: The dividend is what we are dividing.
- Divisor: The divisor is what we are dividing by.
Common Mistakes To Avoid
- 20 × 50 = 100, they partition the 2 and 5 to give 10 but count the zero as one of the 2 zeroes.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplication can be made easier by considering factors. Division can be made easier by considering equivalent calculations.
2. Use this key word in a maths sentence and explain it clearly. 'Partitioning'
Partitioning is the act of splitting an object or value down into smaller parts. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: 20 × 50 = 100, they partition the 2 and 5 to give 10 but count the zero as one of the 2 zeroes. Correction: Make sure that partitions are written out fully. E.g. 20 × 50 = 2 × 5 × 10 × 10 = 10 × 100 = 1000.
More Lessons In This Unit
- Addition of positive and negative integers Study Guide
- Checking and securing understanding of negative numbers in context Study Guide
- Checking and securing understanding of written addition and subtraction strategies Study Guide
- Checking understanding of arithmetic procedures with integers and decimals Study Guide
- Dividing with decimals Study Guide
- Multiplication and division where only one value is negative Study Guide
- Multiplication and division where two or more values are negative Study Guide
- Multiplying with decimals Study Guide
- Priority of operations with positive and negative integers and decimals Study Guide
- Priority of operations with positive integers Study Guide
- Problem solving with integers and decimals Study Guide
- Securing understanding of arithmetic procedures with integers and decimals Study Guide
- Simplifying multiplication and division using multiples of 10 Study Guide
- Subtraction of positive and negative integers Study Guide
- Using the associative, commutative and distributive laws together Study Guide
- Using your calculator efficiently Study Guide
Browse all guides in the Year 7 Maths guide library.