Starter quiz
- Which of the following show this ratio or an equivalent ratio?
- For every 1 star, there are 3 hearts. ✓
- are stars ✓
- For every 3 star, there are 9 hearts. ✓
- For every 3 stars, there is 1 heart.
- are stars
-
- A __________ shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
- ratio ✓
- additive inverse
- postive integer
- multiplier
-
- Identify the equivalent ratios.
- a) and b)
- a) and c)
- a), b) and c)
- All are equivalent.
- a), b) and d) ✓
-
- The table shows the proportion of red to green. Which of these also correctly describe this proportion?
- For every 2 reds, there are 5 greens. ✓
- For every 5 reds, there are 2 greens.
- Red(s) Green(s) ✓
- Red(s) Green(s)
-
- For every 2 As there are 5 Bs. If there are 35 letters in total, how many Bs are there?
- '25' ✓
- For every 12 As there are 4 Bs. If there are 4 letters in total, how many Bs are there?
- '1' ✓
Exit quiz
- Which shows the ratio "For every 2 rabbits (R), there is 1 carrot(C)" ?
- a)
- b)
- c) ✓
- None of them
-
- Select the correct statement for drawing double number lines.
- Each line should be parallel. ✓
- Chosen interval should be equally spaced. ✓
- Each number on each interval increases by 1.
- Numbers can be placed anywhere on the line.
-
- Using the double number line, identify the correct ratio.
- For every £1, there are 315₹
- For every £315, there is 1₹
- For every £2, there are 315₹
- For every £3, there are 315₹ ✓
-
- Here is a double number line. Which of the following are equivalent to this double number line?
- For every 20 As there are 16 Bs. ✓
- For every 10 As there are 8 Bs. ✓
- For every 16 As there are 20 Bs.
- For every 8 As there are 10 Bs.
- For every 5 As there are 4 Bs. ✓
-
- Match the graph with the proportion it represents.
- a)⇔For every , there is 1 ✓
- b)⇔For every 6 s, there are 21 s ✓
- c)⇔For every 6 s, there are 42 s ✓
- d)⇔For every 6 s, there are 9 s ✓
- Which of the double number lines are equivalent to the graph?
- a)
- b)
- c)
- d)
- None of the double number lines ✓
-
Worksheet
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Presentation
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Lesson Details
Key learning points
- A bar model is a representation of a multiplicative relationship.
- A double number line is a representation of a multiplicative relationship.
- A straight line graph is a representation of a multiplicative relationship.
Common misconception
Both lines of a double number line must start at zero and these zeros must be aligned.
When drawing double number lines, ensure to align the zeros and the known equivalents. Showing how a graph is formed from a DNL can help.
Keywords
Proportionality - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.
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.
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