Starter quiz
- Which of the below are ratios?
- ✓
- ✓
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- ✓
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- Match each ratio to an equivalent ratio.
- 1 : 2⇔12 : 24 ✓
- 2 : 1⇔12 : 6 ✓
- 1 : 3⇔8 : 24 ✓
- 2 : 3⇔12 : 18 ✓
- 3 : 2⇔18 : 12 ✓
- Two Oak pupils share 30 sweets in the ratio of 1 : 1. What proportion of the sweets does the second pupil receive?
- One whole
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- ✓
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- £280 is divided in the ratio of 1 : 4. Which calculation can be used to find the larger share?
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- ✓
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- ✓
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- 8640 grams is divided in the ratio of 3 : 5. How much is in the smaller share?
- 1080 g
- 1728 g
- 3240 g ✓
- 5400 g
- 5184 g
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- What number is exactly in the middle of -17 and 60?
- 21
- 21.5 ✓
- 23
- 23.5
- 38.5
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Exit quiz
- Halfway between the two end points of a line segment is the ...
- half point
- median
- midpoint ✓
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- Three points A, B and P are plotted. If AP : PB is in the ratio of 1 : 1 then P is the ______ of AB.
- 'midpoint' ✓
What is the midpoint of line segment AB?- (7, 3)
- (8, 5) ✓
- (8.5, 6)
- (9, 7)
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- Find the coordinates of the point P when AP : PB is in the ratio 3 : 1.
- (7, 3)
- (8, 5)
- (8.5, 6)
- (9, 7) ✓
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Find the coordinates of the point P when AP : PB is in the ratio 1 : 4.- (-3, 0) ✓
- (-1, -1)
- (0, -1.5)
- (1, -2)
- (3, -3)
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- Find the coordinates of the point P when AP : PB is in the ratio 3 : 2.
- (-3, 0)
- (-1, -1)
- (0, -1.5)
- (1, -2) ✓
- (3, -3)
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Your knowledge of ratios can be applied here.
- The ratio can be applied to both the x and y distances.
- Your knowledge of similar triangles explains why this works for diagonal lines.
Common misconception
P is a point such that AP : PB is in the ratio of 1 : 3 means that point P is a third of the distance of AB from A.
There are 4 equal parts in total, meaning that point P is a quarter of the distance of AB from A.
Keywords
Midpoint - The midpoint of a line segment is halfway between the two end points.
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