Year 7 - Maths
Problem solving with integers and decimals
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 your knowledge of calculating with integers and decimals to solve problems.
Key Notes
- Integers and decimals appear in many real-world contexts.
- Calculating with money is an example of decimals.
- Many measurements require decimal values for good accuracy.
Vocabulary To Learn
- Integer: An integer is any positive or negative whole number or zero.
- Additive inverse: The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
Common Mistakes To Avoid
- Students are unsure where to start on problem solving questions.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Integers and decimals appear in many real-world contexts. Calculating with money is an example of decimals.
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. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Students are unsure where to start on problem solving questions. Correction: Starting with one sentence at a time and isolating what the strategy is first before doing any calculation is important.
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 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
- 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.