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Learning Objective

Speed

Construct Your Aeroplane

Equipment

Instructions

Calculating Speed

Learning Objective

Speed

Construct Your Aeroplane

Equipment

Instructions

Calculating Speed

1.
Unit Pricing and

and Time

and Time

2.
Learning Objective

To collect data and calculate speed.

Success Criteria

• To accurately measure and record time in seconds.

• To accurately measure and record distances in metres.

• To evaluate speed using primary data.

To collect data and calculate speed.

Success Criteria

• To accurately measure and record time in seconds.

• To accurately measure and record distances in metres.

• To evaluate speed using primary data.

3.
Speed

What units do we use to measure speed?

m/s mph km/h

metres per second miles per hour kilometres per hour

How do we measure speed?

How do we calculate speed?

What measurements do we need to calculate speed?

Discuss these questions with your partner.

What units do we use to measure speed?

m/s mph km/h

metres per second miles per hour kilometres per hour

How do we measure speed?

How do we calculate speed?

What measurements do we need to calculate speed?

Discuss these questions with your partner.

4.
Construct Your Aeroplane

Step 1 Step 2

Fold the paper in Unfold and then

half to form a fold the corners

crease and then into the centre

unfold the paper. line.

Step 5

Step 3 Step 4

Create a wing

Fold the top Fold the

crease that begins

edges to the plane in half.

at the nose

centre.

Step 1 Step 2

Fold the paper in Unfold and then

half to form a fold the corners

crease and then into the centre

unfold the paper. line.

Step 5

Step 3 Step 4

Create a wing

Fold the top Fold the

crease that begins

edges to the plane in half.

at the nose

centre.

5.
Equipment

Remember to take a stopwatch, a tape measure,

a pen and your maths book with you.

Remember to take a stopwatch, a tape measure,

a pen and your maths book with you.

6.
Instructions

1. Locate a start position and put your book on the floor to mark it.

2. One person has the timer ready while the other person stands at the start position

with the paper aeroplane.

3. The person with the timer counts backwards from 3. On ‘1’, start the timer and

throw the paper aeroplane.

4. Stop the timer when the aeroplane lands. Using the tape measure, measure the

distance from the start position to the nose of the aeroplane. Even if the aeroplane

is facing backwards or sideways, you will still need to measure to the nose so the

results remain consistent.

5. Record the time (in seconds) and the distance (in metres) in Flight 1 of the table.

6. Repeat steps 1-5 until every person in the group has flown their paper aeroplane.

7. Once everyone has flown their paper aeroplane, you are ready to start again with

Flight 2.

8. Repeat as many times as you can in the time allocated.

1. Locate a start position and put your book on the floor to mark it.

2. One person has the timer ready while the other person stands at the start position

with the paper aeroplane.

3. The person with the timer counts backwards from 3. On ‘1’, start the timer and

throw the paper aeroplane.

4. Stop the timer when the aeroplane lands. Using the tape measure, measure the

distance from the start position to the nose of the aeroplane. Even if the aeroplane

is facing backwards or sideways, you will still need to measure to the nose so the

results remain consistent.

5. Record the time (in seconds) and the distance (in metres) in Flight 1 of the table.

6. Repeat steps 1-5 until every person in the group has flown their paper aeroplane.

7. Once everyone has flown their paper aeroplane, you are ready to start again with

Flight 2.

8. Repeat as many times as you can in the time allocated.

7.
Results

Record your flights in the table below. You will need to work with a partner or in a group of three.

Remember to only fly your aeroplane when it is your turn.

Flight Number Time in Seconds Distance in Metres Speed in m/s

1

2

3

4

5

6

7

8

9

10

Record your flights in the table below. You will need to work with a partner or in a group of three.

Remember to only fly your aeroplane when it is your turn.

Flight Number Time in Seconds Distance in Metres Speed in m/s

1

2

3

4

5

6

7

8

9

10

8.
Calculating Speed

To calculate speed, divide the distance travelled by the time taken.

The formula triangle can be used to help

you remember how to calculate speed,

distance or time.

Cover up what you want to find (in this

Distance

case, the speed). The remaining parts

show you how to calculate it.

distance Speed Time

speed =

time

If your aeroplane travelled a distance of 3m and it took 6 seconds for

the flight then the speed is calculated by:

= 0.5m/s

To calculate speed, divide the distance travelled by the time taken.

The formula triangle can be used to help

you remember how to calculate speed,

distance or time.

Cover up what you want to find (in this

Distance

case, the speed). The remaining parts

show you how to calculate it.

distance Speed Time

speed =

time

If your aeroplane travelled a distance of 3m and it took 6 seconds for

the flight then the speed is calculated by:

= 0.5m/s

9.
Calculating Distance

Use the formula triangle to help.

Cover up what you want to find

Distance (in this case, the distance). The

parts that are left show you how

to calculate it.

Speed Time Distance = Speed × Time

50mph for 3 hours. Calculate the distance.

50 × 3 = 150 miles

Use the formula triangle to help.

Cover up what you want to find

Distance (in this case, the distance). The

parts that are left show you how

to calculate it.

Speed Time Distance = Speed × Time

50mph for 3 hours. Calculate the distance.

50 × 3 = 150 miles

10.
Calculating Speed

Cover up speed. The parts that are left

show you how to calculate it.

Distance

Speed =

Distance Time

To calculate the average speed of a

journey, you divide the distance

travelled by the time taken.

Speed Time

2 hours to cover a distance of 5.8km. Calculate the speed.

2

= 2.9km/h

Cover up speed. The parts that are left

show you how to calculate it.

Distance

Speed =

Distance Time

To calculate the average speed of a

journey, you divide the distance

travelled by the time taken.

Speed Time

2 hours to cover a distance of 5.8km. Calculate the speed.

2

= 2.9km/h

11.
Calculating Time

Cover up time. The parts that are

left show you how to calculate it.

Distance Time = Distance

Speed

Speed Time

100m travelled at a constant speed of 6.25m/s. Calculate the time taken.

= 16 seconds

Cover up time. The parts that are

left show you how to calculate it.

Distance Time = Distance

Speed

Speed Time

100m travelled at a constant speed of 6.25m/s. Calculate the time taken.

= 16 seconds

12.
Your Turn - Section 1

Calculate the distance travelled in each journey:

a. 3 hours at 40mph d. 5.25 hours at 50km/h

Distance = Distance =

Distance = miles Distance = km

b. 55km/h for 3.5 hours e. 30mph for 20 minutes

Distance = Distance =

Distance = km Distance = miles

c. 4 seconds at 3m/s

Distance =

Distance = m

Calculate the distance travelled in each journey:

a. 3 hours at 40mph d. 5.25 hours at 50km/h

Distance = Distance =

Distance = miles Distance = km

b. 55km/h for 3.5 hours e. 30mph for 20 minutes

Distance = Distance =

Distance = km Distance = miles

c. 4 seconds at 3m/s

Distance =

Distance = m

13.
Your Turn - Section 1

Calculate the distance travelled in each journey:

a. 3 hours at 40mph d. 5.25 hours at 50km/h

Distance = 3 × 40 Distance = 5.25 × 50

Distance = 120 miles Distance = 262.5km

b. 55km/h for 3.5 hours e. 30mph for 20 minutes

Distance = 55 × 3.5 Distance = 30 × 20

60

Distance = 192.5km Distance = 10 miles

c. 4 seconds at 3m/s

Distance = 4 × 3

Distance = 12m

Calculate the distance travelled in each journey:

a. 3 hours at 40mph d. 5.25 hours at 50km/h

Distance = 3 × 40 Distance = 5.25 × 50

Distance = 120 miles Distance = 262.5km

b. 55km/h for 3.5 hours e. 30mph for 20 minutes

Distance = 55 × 3.5 Distance = 30 × 20

60

Distance = 192.5km Distance = 10 miles

c. 4 seconds at 3m/s

Distance = 4 × 3

Distance = 12m

14.
Your Turn - Section 2

Calculate the average speed of each journey:

a. 150 miles in 5 hours d. 87.5 miles in 3.5 hours

Speed = Speed =

Speed = mph Speed = mph

b. 120 km in 3 hours e. 9km in 45 minutes

Speed = Speed =

Speed = km/h Speed = km/h

c. 20m in 4 seconds

Speed =

Speed = m/s

Calculate the average speed of each journey:

a. 150 miles in 5 hours d. 87.5 miles in 3.5 hours

Speed = Speed =

Speed = mph Speed = mph

b. 120 km in 3 hours e. 9km in 45 minutes

Speed = Speed =

Speed = km/h Speed = km/h

c. 20m in 4 seconds

Speed =

Speed = m/s

15.
Your Turn - Section 2

Calculate the average speed of each journey:

a. 150 miles in 5 hours d. 87.5 miles in 3.5 hours

150 87.5

Speed = Speed =

5 3.5

Speed = 30mph Speed = 25mph

b. 120 km in 3 hours e. 9km in 45 minutes

120 9

Speed = Speed = 9 ÷

3 45

Speed = 40km/h Speed = 12km/h

c. 20m in 4 seconds

20

Speed =

4

Speed = 5m/s

Calculate the average speed of each journey:

a. 150 miles in 5 hours d. 87.5 miles in 3.5 hours

150 87.5

Speed = Speed =

5 3.5

Speed = 30mph Speed = 25mph

b. 120 km in 3 hours e. 9km in 45 minutes

120 9

Speed = Speed = 9 ÷

3 45

Speed = 40km/h Speed = 12km/h

c. 20m in 4 seconds

20

Speed =

4

Speed = 5m/s

16.
Your Turn

Calculate the speed of each of

your paper aeroplane flights.

Round your answers to one decimal place where necessary.

distance

speed =

time

Calculate the speed of each of

your paper aeroplane flights.

Round your answers to one decimal place where necessary.

distance

speed =

time

17.
Summary

Write a short summary about your flights and how you could

improve the speed of your aeroplane.

Consider the following questions.

What was your quickest flight?

What was your slowest flight?

What was the mean average speed of your flights?

How could you make your plane more aerodynamic?

Were there any problems when flying your aeroplane?

How could you overcome these?

Write a short summary about your flights and how you could

improve the speed of your aeroplane.

Consider the following questions.

What was your quickest flight?

What was your slowest flight?

What was the mean average speed of your flights?

How could you make your plane more aerodynamic?

Were there any problems when flying your aeroplane?

How could you overcome these?

18.
Tortoise and Hare

Who had the quickest flight in the class?

Who had the slowest flight in the class?

Both of those students can now share

their summary with the class.

Who had the quickest flight in the class?

Who had the slowest flight in the class?

Both of those students can now share

their summary with the class.

19.