Year 7 - Maths
Checking and securing understanding of negative numbers in context
Arithmetic procedures with integers and decimals
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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 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 interpret negative numbers in context and can think about negative numbers without context.
Key Notes
- Negative numbers are present in everyday life.
- Negative numbers exist as they represent values below an agreed zero.
- It can help to think of a context when doing a calculation.
Vocabulary To Learn
- Integer: An integer is any positive or negative whole number or zero. E.g. -2, 0, 153 are all examples of integers.
Common Mistakes To Avoid
- That the difference between 3 & -9 is 6 and not 12.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Negative numbers are present in everyday life. Negative numbers exist as they represent values below an agreed zero.
2. Use this key word in a maths sentence and explain it clearly. 'Integer'
An integer is any positive or negative whole number or zero. E.g. -2, 0, 153 are all examples of integers. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That the difference between 3 & -9 is 6 and not 12. Correction: In the early stages of the negative numbers work the use of number lines to highlight misconceptions can be very powerful.
More Lessons In This Unit
- Addition of positive and negative integers Study Guide
- Checking and securing understanding of multiplication and division 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.