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Revision of Level D/E Time. Time Distance Speed. Calculating Distance. Calculating Speed. Calculating Time. Time, Distance and Speed Problems. www.mathsrevision.com. Converting Hour Minutes to Decimal Time. Converting Decimal Time to Hour Minutes. Time – Distance Graphs.

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time distance speed

Revision of Level D/E Time

Time Distance Speed

Calculating Distance

Calculating Speed

Calculating Time

Time, Distance and Speed Problems

www.mathsrevision.com

Converting Hour Minutes to Decimal Time

Converting Decimal Time to Hour Minutes

Time – Distance Graphs

Created by Mr. Lafferty Maths Dept.

starter questions

Starter Questions

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide3

Time

Revision of Level D/E

Learning Intention

Success Criteria

  • To revise Level D/E work on Time.
  • 1. Convert 12hr to 24hr clock.
  • 2. Convert 24hr to 12hr clock.

www.mathsrevision.com

  • 3. Count Method to find time intervals.

Created by Mr. Lafferty Maths Dept.

slide4

12/24 Hour Clock

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.

slide5

12/24 Hour Clock

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.

slide6

Counting Method

When working out time difference we will use the

Counting Method. This method will always work.

60 mins = 1hr

3 hrs 6 mins

Example : Find the time difference between

08 46 hrs and 11 52 hrs

Hrs Mins

nearest hour

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08 46  09 00

14

hours

09 00  11 00

2

What’s left?

+

11 00  11 52

52

2 66

Created by Mr. Lafferty Maths Dept.

slide7

Counting Method

Example : Find the time difference between

02 37 hrs and 23 49 hrs

Hrs Mins

nearest hour

02 37  03 00

23

hours

03 00  23 00

20

What’s left?

+

23 00  23 49

49

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20 72

21hrs 12mins

Created by Mr. Lafferty Maths Dept.

slide8

Time

Revision of Level D/E

Now try Ex 1 & 2

Ch10 (page 107)

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions9

120o

70o

Starter Questions

6x

4x

4x

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Created by Mr. Lafferty Maths Dept.

slide10

Distance

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 simple distance calculations.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide11

Distance

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.

slide12

Time Distance Speed

Mixed Problems

Example :

Liam drove from his house to the Fort William, a distance

of 315 miles. It took him 3hrs. What was his average speed?

Working

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Created by Mr. Lafferty Maths Dept.

slide13

Distance

Working Out Distance

Now try Ex 3

Ch10 (page 111)

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Created by Mr. Lafferty Maths Dept.

starter questions14

Starter Questions

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Created by Mr. Lafferty Maths Dept.

slide15

Speed

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.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide16

Speed

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.

slide17

Time Distance Speed

Mixed Problems

Example :

Liam drove from his house to the Perth, a distance

of 135 miles. It took him 3hrs. What was his average speed?

Working

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Created by Mr. Lafferty Maths Dept.

slide18

Speed

Working Out Speed

Now try Ex 4

Ch10 (page 112)

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Created by Mr. Lafferty Maths Dept.

starter questions19

Starter Questions

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4 cm

x cm

Created by Mr. Lafferty Maths Dept.

slide20

Time

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.

slide21

Time

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.

slide22

Time Distance Speed

Mixed Problems

Example

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

distance of 100 km at and an average speed of 40 km/hr.

Working

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Created by Mr. Lafferty Maths Dept.

slide23

Time

Working Out Time

Now try Ex 5

Ch10 (page 114)

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Created by Mr. Lafferty Maths Dept.

starter questions24

Starter Questions

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Created by Mr. Lafferty Maths Dept.

slide25

Time Distance Speed

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.

slide26

D=S T

Time Distance Speed

Mixed Problems

D

S

T

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Simple way to remember the 3 formulae !

Created by Mr. Lafferty Maths Dept.

slide27

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?

D

Time MUST be in hours format

Working

S

T

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide28

Time Distance Speed

Mixed Problems

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

What is the distance covered in 6 hours ?

D

Working

S

T

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide29

Time Distance Speed

Mixed Problems

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

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

D

Working

S

T

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide30

Time Distance Speed

Mixed Problems

Now try Ex6

Ch10 (page 116)

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Created by Mr. Lafferty Maths Dept.

starter questions31

Starter Questions

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Created by Mr. Lafferty Maths Dept.

slide32

Hrs Mins to Decimal Time

Converting Hrs Mins to Decimal Time

Learning Intention

Success Criteria

1. Know that decimal time MUST be used in formulae.

  • 1. To show how to convert hours and minutes to decimal time.

2. Convert from hours and mins to decimal time.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide33

Hrs Mins to Decimal Time

Converting Hrs Mins to Decimal Time

You should already know :

Example 1 :

48 minutes to decimal is

= 0.8 hr

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= 2.25 hr

Example 2 :

2hr 15 minutes to decimal is

To change minutes to a decimal ‘divide by 60’

Created by Mr. Lafferty Maths Dept.

slide34

Time Distance Speed

Now try

Extension booklet

6E (page 41)

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Created by Mr. Lafferty Maths Dept.

starter questions35

Starter Questions

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Created by Mr. Lafferty Maths Dept.

slide36

Hrs Mins to Decimal Time

Converting Decimal Time to Hrs Mins

Learning Intention

Success Criteria

1. Know the rule for converting back from decimal time to hours and mins.

  • 1. To show how to convert back from decimal time to hours and minutes.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide37

Hrs Mins to Decimal Time

Converting Decimal Time to Hrs Mins

You should already know :

To change minutes to a decimal time ‘divide by 60’

www.mathsrevision.com

To convert back to and minutes we do the opposite :

To change decimal time to minutes ‘multiply by 60’

Created by Mr. Lafferty Maths Dept.

slide38

Hrs Mins to Decimal Time

Converting Decimal Time to Hrs Mins

To change decimal time to minutes ‘multiply by 60’

Example 1 :

0.7 hrs to minutes is

= 42 mins

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3.4 hrs to hours and minutes is

Example 2 :

= 3 hrs 24 mins

Created by Mr. Lafferty Maths Dept.

slide39

Time Distance Speed

Converting Hrs Mins to Decimal Times

Now try

Extension Booklet

7E (page 44)

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

starter questions40

Starter Questions

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide41

Time Distance Graph

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.

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.

slide42

Time Distance Graph

Interpreting Time – Distance Graphs

www.mathsrevision.com

Created by Mr. Lafferty Maths Dept.