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### Time Distance Speed

### Converting Time

### Counting Method

Time Difference (Counting Method)

Calculating Distance

Calculating Speed

www.mathsrevision.com

Calculating Time

Mixed Problems

Time – Distance Graphs

Created by Mr. Lafferty Maths Dept.

Revision of Time

Learning Intention

Success Criteria

- To revise previous Time work.

- 1. Convert 12hr to 24hr clock.

- 2. Convert 24hr to 12hr clock.

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- 3. Count Method to find time intervals.

Created by Mr. Lafferty Maths Dept.

Learning Intention

Success Criteria

- To revise Level D work on converting between
- 12 and 24 hr clock and vice versa.

- Change from 12 to 24 hour clock.

- 2. Change from 24 to 12 hour clock.

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Created by Mr. Lafferty Maths Dept.

midnight

1 am

2 am

3 am

4 am

5am

6 am

7 am

8 am

9 am

10 am

11 am

0000

0100

0200

0300

0400

0500

0600

0700

0800

0900

1000

1100

midday

1 pm

2 pm

3 pm

4 pm

5 pm

6 pm

7 pm

8 pm

9 pm

10 pm

11 pm

1200

1300

1400

1500

1600

1700

1800

1900

2000

2100

2200

2300

Examples

9 pm becomes

8 pm becomes

6:30 pm becomes

11:30 pm becomes

4:20 pm becomes

3:10 pm becomes

To go from 12 hour clock to 24 hour clock just add 12 to the pm hours:

2100

2000

1830

2330

1620

1510

Created by Mr. Lafferty Maths Dept.

midnight

1 am

2 am

3 am

4 am

5am

6 am

7 am

8 am

9 am

10 am

11 am

0000

0100

0200

0300

0400

0500

0600

0700

0800

0900

1000

1100

midday

1 pm

2 pm

3 pm

4 pm

5 pm

6 pm

7 pm

8 pm

9 pm

10 pm

11 pm

1200

1300

1400

1500

1600

1700

1800

1900

2000

2100

2200

2300

Examples

2100 becomes

2000 becomes

1730 becomes

2208 becomes

2006 becomes

1350 becomes

To go from 24 hour clock to 12 hour clock just subtract 12 from the hours if it is greater than 12:

9 pm

8 pm

5:30 pm

10:08 pm

8:06 pm

1:50 pm

Created by Mr. Lafferty Maths Dept.

S3 General

Let’s make up our own questions !

Key Points

pm times add on 12

12 hour clock

24 hour clock

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Analogue clock

Digital clock

ALWAYS use AM or PM

ALWAYS 4 digits

Hours 1 - 12

NEVER use AM or PM

greater than 12

subtract 12

Hours 0 - 24

Created by Mr.Lafferty Maths Dept

Revision of Time

Now try Exercise 1

Ch10 (page 108)

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Created by Mr. Lafferty Maths Dept.

Learning Intention

Success Criteria

- To explain the counting method to find the difference between two times.

- 1. Understand the counting method.

- 2. Find time differences between two times, showing all working.

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Created by Mr. Lafferty Maths Dept.

Level D

When working out time difference we will use the

Counting Method. This method will always work.

Example : Find the time difference between

08 40 hrs and 11 10 hrs

Hrs Mins

nearest

hour

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What’s left

20

hours

2

08 40

09 00

11 00

11 10

+

10

20 mins

2 hrs

10 mins

2 30

Created by Mr.Lafferty Maths Dept

60 minutes = 1hour

70 mins = 1hr 10mins

Counting Method

Level D

A bus leaves Kirkintilloch Main Street at 14 40 hrs

and arrives in Aberdeen at 18 50 hrs.

How long was the journey.

nearest

hour

What’s left

Hrs Mins

hours

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20

14 40

15 00

18 00

18 50

3

20 mins

3 hrs

50 mins

+

50

3 70

4hrs 10 mins

Created by Mr.Lafferty Maths Dept

*

*

*

Kirkie Bus Station

0825

0925

1025

2025

2125

2225

Bishopbriggs

0837

0937

1037

And

2037

2137

2237

Milton

0843

0943

1043

Every

2043

2143

2243

Springburn

0848

0948

1048

Hour

2048

2148

2248

Port Dundas

0854

0954

1054

Until

2054

2154

2254

George Square

0902

1002

1102

2102

2202

2302

Glasgow Bus Station

0914

1014

1114

2114

2214

2314

How long does the first bus take from Kirkie to Glasgow.

nearest

hour

Hrs Mins

What’s left

hours

35

35

08 25

09 00

09 00

09 14

0

0

35 mins

0 hrs

14 mins

14

+

14

49

60 minutes = 1hour

Counting Method

Level D

Let’s make up our own question !

The key steps are left on the slide to help you.

nearest

hour

What’s left

Hrs Mins

hours

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mins

hrs

mins

+

Created by Mr.Lafferty Maths Dept

Revision of Level D/E

Now try Exercise 2

Ch10 (page 109)

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Created by Mr. Lafferty Maths Dept.

Working Out Distance

Learning Intention

Success Criteria

- Know the distance formula.

- 1. To explain how to work out simple distance calculations using the distance formula.

- 2. Use the formula to work out simply distance calculations.

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Created by Mr. Lafferty Maths Dept.

Working out Distances

Imagine you were travelling in a train at a steady speed

of 80km/hr.

In 1 hour you travel :

80 x 1 = 80 km

In 2 hours you travel :

80 x 2 = 160 km

In 3 hours you travel :

80 x 3 = 240 km

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Can you guess what the formula is :

in symbols

Created by Mr. Lafferty Maths Dept.

Working Out Distance

Now try Exercise 3

Ch10 (page 110)

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Created by Mr. Lafferty Maths Dept.

Working Out Speed

Learning Intention

Success Criteria

- Know the speed formula.

- 1. To explain how to work out simple speed calculations using the speed formula.

- 2. Use the formula to work out simple speed calculations.

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Created by Mr. Lafferty Maths Dept.

Working Out Speed

Imagine you sailed 45 kilometres between two islands

and it took 3 hours.

In 3 hours you travel :

= 45 km

In 1 hour you travel :

45 ÷ 3 = 15 km

This means your speed is :

15km/hr

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Can you guess what the formula is :

in symbols

Created by Mr. Lafferty Maths Dept.

Working Out Speed

Now try Exercise 4

Ch10 (page 112)

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Created by Mr. Lafferty Maths Dept.

Working Out Time

Learning Intention

Success Criteria

- Know the time formula.

- 1. To explain how to work out simple time calculations using the time formula.

- 2. Use the formula to work out simple time calculations.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

Working Out Time

Imagine you flew 800 miles to Paris and the average

speed of the plane was 200 miles/hr.

To travel 200 miles takes 1 hour :

To travel 800 miles takes :

800 ÷ 200 = 4 hours

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Can you guess what the formula is :

in symbols

Created by Mr. Lafferty Maths Dept.

Working Out Time

Now try Exercise 5

Ch10 (page 113)

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Created by Mr. Lafferty Maths Dept.

Mixed Problems

Learning Intention

Success Criteria

1. Know and remember triangle method for distance, speed time problems.

- 1. To show the traingle method of remembering the distance, speed and time formulae.

2. Apply triangle method to mixed problems.

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Created by Mr. Lafferty Maths Dept.

Mixed Problems

D=S x T

D

S

T

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Simple way to remember the 3 formulae !

Created by Mr. Lafferty Maths Dept.

S

T

Time Distance Speed

Mixed Problems

Example 1 : Daniel drove from his house to the Blackpool, a distance

of 135 miles. It took him 2hrs 15mins. What was his average speed?

Time MUST be in decimal form

Working

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Created by Mr. Lafferty Maths Dept.

S

T

Time Distance Speed

Mixed Problems

Example 2 : A racing car travelled at 50 km/hr.

What is the distance covered in 6 hours ?

Working

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Created by Mr. Lafferty Maths Dept.

S

T

Time Distance Speed

Mixed Problems

Example 1 : How long did the bus journey take if it travelled a total

distance of 60 km at and an average speed of 40 km/hr.

Working

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Created by Mr. Lafferty Maths Dept.

Mixed Problems

Now try Exercise 6

Ch10 (page 114)

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Created by Mr. Lafferty Maths Dept.

Interpreting Time – Distance Graphs

Learning Intention

Success Criteria

1. Understand the term interpret.

- To interpret
- Time – Distance Graphs.

- Understand that the speed can be calculated from the
- Time - Distance Graph.

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Created by Mr. Lafferty Maths Dept.

Interpreting Time – Distance Graphs

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Created by Mr. Lafferty Maths Dept.

Now try Exercise 7

Ch10 (page 115)

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Created by Mr. Lafferty Maths Dept.

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