Equivalent multiplicative relationships
I can appreciate that there are an infinite number of pairs of numbers for any given multiplicative relationship.
Equivalent multiplicative relationships
I can appreciate that there are an infinite number of pairs of numbers for any given multiplicative relationship.
Lesson details
Key learning points
- There is a multiplicative relationship between the ratio parts, and other equivalent ratios.
- Ratios can be expressed as fractions.
- There are infinitely many equivalent fractions.
- There are infinitely many equivalent ratios.
Common misconception
Using multiplication as repeated addition leads to incorrect additive strategies of ratios.
Focus on the multiplicative relationships between parts to whole or whole to parts. Ratio tables can help see this more easily.
Keywords
Proportionality - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$\frac{2}{3}$$ -
$$\frac{6}{9}$$
$$\frac{3}{5}$$ -
$$\frac{9}{15}$$
$$\frac{5}{7}$$ -
$$\frac{15}{21}$$
$$\frac{1}{2}$$ -
$$\frac{3}{6}$$