New
New
Year 11
Foundation

Compound measures for speed

I can use compound measures for speed.

New
New
Year 11
Foundation

Compound measures for speed

I can use compound measures for speed.

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Lesson details

Key learning points

  1. Average speed can be calculated by dividing the distance travelled by the time taken.
  2. The units for time and distance determine the units for speed.
  3. By rearranging the formula, you can calculate either distance or time.
  4. Pace can be calculated by dividing time taken by distance travelled.

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.

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.

Encouraging pupils to work in minutes rather than hours will help to overcome the misconception.
Teacher tip

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).

Lesson video

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6 Questions

Q1.
Two variables are in direct proportion if they have a constant relationship.
inverse
additive
Correct answer: multiplicative
summative
Q2.
Which of these ratios represents this sentence? For every 1 dollar, you get 54 pence.
£1 : $0.54
Correct answer: 54 p : $1
$1 : £54
$1 : 54
Correct answer: $1 : £0.54
Q3.
Izzy says, "I changed £200 and got $244". What is this as a unit ratio in pounds?
£200 : $244
Correct answer: £1 : $1.22
£0.82 : $1
£100 : $122
Q4.
Andeep says, "I changed £200 and got €250". What is this as a unit ratio in euros?
£200 : €250
Correct answer: £0.80 : €1
€100 : £125
£1 : €1.25
Q5.
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?
Correct Answer: 24 minutes, 24 mins, 24 minutes, 24
Q6.
Calculate the cost of electricity.
An image in a quiz
Correct Answer: £204.98, 20498p

6 Questions

Q1.
Speed is the rate at which something is moving. It is measured as the distance travelled per unit of .
Correct Answer: time
Q2.
If a car travels 12 miles in 20 minutes what is its average speed? Make sure you include the unit with your answer.
Correct Answer: 36 mph, 36mph
Q3.
Match each scenario with the correct speed.
Correct Answer:120 km in 1 hour 30 minutes,80 km/h

80 km/h

Correct Answer:48 km in 45 minutes,64 km/h

64 km/h

Correct Answer:64 km in 1 hour 20 minutes,48 km/h

48 km/h

Correct Answer:137.5 km in 2 hours 45 minutes,50 km/h

50 km/h

Q4.
Calculate the speed during the first part of the journey. Remember to include the units of your answer.
An image in a quiz
Correct Answer: 30 km/h, 30km/h, 30 kmh, 30kmh, 30 kilometres per hour
Q5.
The average speed of a helicopter is 160 mph. How far can it travel in 2 hour 45 minutes?
Correct Answer: 440 km, 440km, 440 kilometres, 440
Q6.
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?
Correct Answer: 12 hours, 12