Starter quiz
- Two variables are in proportion if they have a __________.
- constant additive relationship
- changing multiplicative relationship
- different relationship
- changing additive relationship
- constant multiplicative relationship ✓
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- 5 miles = 8 kilometres. So 12 miles is ______ kilometres.
- '19.2' ✓
- Convert 1 m³ into cm³.
- 1000 cm³
- 10 000 cm³
- 100 000 cm³
- 1 000 000 cm³ ✓
- 1 000 000 cm³ ✓
-
- The cost of a box of pens is £4.80. Five boxes of pens cost £______.
- '24' ✓
- If $20 = £15.20, which of the following are true?
- $100 = £95.20
- $10 = £5.20
- $50 = £38 ✓
- $5 = £3.80 ✓
- 4.56 ✓
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- A recipe needs 180 ml of milk to make 15 scones. You can make ______ scones using 15 litres of milk.
- '1250' ✓
Exit quiz
- Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the __________ of the other variable.
- different
- division
- opposite
- reciprocal ✓
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- Which of the following is a graph representing inverse proportion?
- Which of the following situations illustrate an inversely proportional relationship?
- The number of scones made and the amount of milk needed.
- The time taken to read a book and the number of pages.
- The time taken to complete a lap of a track and the speed. ✓
- The number of pieces a plank of wood is cut into and the length of the pieces. ✓
- The height of a wall and the number of bricks used.
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A and B are inversely proportional. The missing value is ______.- '15' ✓
A and B are inversely proportional. The missing value is ______.- '4' ✓
- It takes 3 people 4 days to build a wall. It should take 5 people ______ days to build the same wall.
- '2.4' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Inverse proportion can be represented on a graph.
- Key features can be used to recognise inverse proportion on a graph.
- Inverse proportion can be used in a number of contexts.
Common misconception
The graph representing a inversely proportional relationship is of the form x + y = a and will eventually meet the axes.
The dimensions of the rectangle are ideal for highlighting this, particularly the latter part as a you cannot have a rectangle with a length of 0 cm.
Keywords
Inverse proportion - Two variables are inversely proportional if there is a constant multiplicative relationship between one variable and the reciprocal of the other.
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