Year 7 - Maths
Checking and securing understanding of written addition and subtraction strategies
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 generalise and fluently use written addition and subtraction strategies, including columnar formats, with decimals.
Key Notes
- Addition and subtraction strategies can make calculations easier.
- The decimal point can help ensure that digits with the same place value are combined.
- The decimal point will not help if the values are not measured in the same units.
Vocabulary To Learn
- Metric: Metric units are based around the standard units of metre, gram and litre.
- Additive inverse: The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
- Absolute value: The absolute value of a number is its distance from zero. E.g. 5 and (-5) are both 5 away from zero and so both have an absolute value of 5.
Common Mistakes To Avoid
- When subtracting you always write the bigger number above the smaller number.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Addition and subtraction strategies can make calculations easier. The decimal point can help ensure that digits with the same place value are combined.
2. Use this key word in a maths sentence and explain it clearly. 'Metric'
Metric units are based around the standard units of metre, gram and litre. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When subtracting you always write the bigger number above the smaller number. Correction: The context of spending money should help with this, as they will end up with a positive balance which is not possible .
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 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.