Year 7 - Maths
Multiplicative relationships in context
Understanding multiplicative relationships: fractions and ratio
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit introduces the concept of multiplicative relationsihps, and connects fractions to the idea of ratios. Ratios are then explored in depth and used to solve contextual problems such as those involving exchange rates and general conversions.
Lesson Summary
You will learn to appreciate that any two numbers can be connected via a multiplicative relationship.
Key Notes
- A multiplicative relationship is a proportional relationship.
- Real-life contexts include converting money.
- This multiplier can be thought of as a scaling factor.
Vocabulary To Learn
- Ratio: A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
Common Mistakes To Avoid
- Only seeing multiplication as repeated addition leads to incorrect additive strategies for ratios.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A multiplicative relationship is a proportional relationship. Real-life contexts include converting money.
2. Use this key word in a maths sentence and explain it clearly. 'Ratio'
A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Only seeing multiplication as repeated addition leads to incorrect additive strategies for ratios. Correction: Focus on the multiplicative relationships between parts to whole or whole to parts. Ratios allow the multiplicative relationship to be seen.
More Lessons In This Unit
- Checking and securing finding a fraction of a given amount Study Guide
- Checking understanding of multiplicative relationships Study Guide
- Deepening understanding with fractions of a given amount Study Guide
- Describing exchange rates with ratio Study Guide
- Describing more conversions with ratio Study Guide
- Determining the part Study Guide
- Determining the whole Study Guide
- Dividing a quantity into a given ratio Study Guide
- Equivalent multiplicative relationships Study Guide
- Expressing multiplicative relationships as ratios and fractions Study Guide
- Expressing one number as a fraction of another Study Guide
- Multiplicative relationships Study Guide
- Problem solving with fractions and ratios Study Guide
- Ratio language and notation Study Guide
- Representing a multiplicative relationship Study Guide
- Securing understanding of ratio as a multiplicative relationship Study Guide
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