Year 7 - Maths
Converting fractions with technology
Comparing and ordering fractions and decimals (positive and negative)
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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
This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.
Lesson Summary
You will learn to convert from fractions to decimals and back again using the converter key on a calculator.
Key Notes
- A calculator can be used to simplify fractions.
- A calculator can be used to convert fractions to decimals by dividing.
- A calculator can be used to convert fractions to decimals by using the appropriate key.
- A calculator can be used to convert a decimal to a fraction by using the appropriate key.
Vocabulary To Learn
- Proper fraction: A proper fraction is a fraction where the numerator is less than the denominator.
- Improper fraction: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
- Mixed number: A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.
Common Mistakes To Avoid
- The calculator rounds recurring/non-terminating decimals to 10 d.p. and it is not terminating.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A calculator can be used to simplify fractions. A calculator can be used to convert fractions to decimals by dividing.
2. Use this key word in a maths sentence and explain it clearly. 'Proper fraction'
A proper fraction is a fraction where the numerator is less than the denominator. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The calculator rounds recurring/non-terminating decimals to 10 d.p. and it is not terminating. Correction: The fractional form will give a clearer idea if the decimal equivalent is terminating or not.
More Lessons In This Unit
- Between numbers Study Guide
- Checking and securing converting improper fractions to mixed numbers Study Guide
- Checking and securing converting mixed numbers to improper fractions Study Guide
- Checking and securing understanding of fractions Study Guide
- Converting fractions to recurring decimals Study Guide
- Converting fractions to terminating decimals Study Guide
- Converting terminating decimals to fractions Study Guide
- Limitations of technology in calculations Study Guide
- Ordering decimals Study Guide
- Ordering fractions by converting Study Guide
- Ordering fractions by way of a common denominator Study Guide
- Ordering fractions in different ways Study Guide
- Ordering negative integers Study Guide
- Ordering positive and negative fractions and decimals Study Guide
- Problem solving with fractions and decimals Study Guide
- Simplifying fractions Study Guide
- The identity property of multiplication and division Study Guide
Browse all guides in the Year 7 Maths guide library.