Starter quiz
- Two variables are in direct proportion if they have a constant ______ relationship.
- inverse
- additive
- multiplicative ✓
- summative
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- Which of these ratios represents this sentence? For every 1 dollar, you get 54 pence.
- £1 : $0.54
- 54 p : $1 ✓
- $1 : £54
- $1 : 54
- $1 : £0.54 ✓
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- Izzy says, "I changed £200 and got $244". What is this as a unit ratio in pounds?
- £200 : $244
- £1 : $1.22 ✓
- £0.82 : $1
- £100 : $122
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- Andeep says, "I changed £200 and got €250". What is this as a unit ratio in euros?
- £200 : €250
- £0.80 : €1 ✓
- €100 : £125
- £1 : €1.25
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- A tap fills at a rate of 15 litres per minute. How long will it take to fill a paddling pool with a capacity of 360 litres?
- '24 minutes' ✓
Calculate the cost of electricity.- '£204.98' ✓
Exit quiz
- Speed is the rate at which something is moving. It is measured as the distance travelled per unit of ______.
- 'time' ✓
- If a car travels 12 miles in 20 minutes what is its average speed? Make sure you include the unit with your answer.
- '36 mph' ✓
- Match each scenario with the correct speed.
- 120 km in 1 hour 30 minutes⇔80 km/h ✓
- 48 km in 45 minutes⇔64 km/h ✓
- 64 km in 1 hour 20 minutes⇔48 km/h ✓
- 137.5 km in 2 hours 45 minutes⇔50 km/h ✓
Calculate the speed during the first part of the journey. Remember to include the units of your answer.- '30 km/h' ✓
- The average speed of a helicopter is 160 mph. How far can it travel in 2 hour 45 minutes?
- '440 km' ✓
- The distance of a flight from London to Cape Town is approximately 6000 miles. If a plane travels at an average speed of 500 mph, how long will the journey take in hours?
- '12 hours' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Average speed can be calculated by dividing the distance travelled by the time taken.
- The units for time and distance determine the units for speed.
- By rearranging the formula, you can calculate either distance or time.
- Pace can be calculated by dividing time taken by distance travelled.
Common misconception
E.g 4.5 hours is 4 hours and 50 minutes
Encouraging pupils to use ratio tables to represent proportional relationships using minutes allows them to appreciate the multiplier of 60 when converting hours to minutes, or minutes to seconds.
Keywords
Speed - Speed is the rate at which something is moving. It is measured as the distance travelled per unit of time.
Pace - Pace is the rate of movement. It is measured as the time taken per unit of distance.
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