S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level Time Calculating Distance Time Distance Speed Calculating

S3 General

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Revision of Level Time

Calculating Distance

Time Distance Time Distance SpeedSpeed

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Calculating Speed

Calculating Time

Mixed Problems

Time – Distance Graphs

Time Difference (Counting Method)

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Starter QuestionsStarter Questionsw

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3 11 4

32. of 60

4

x 1. Solve

3. How many secs in 10minutes

154. Simplify

60

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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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2.2. Convert 24hr to 12hr Convert 24hr to 12hr clock.clock.

1. To revise previous Time work.

Time Revision of Time

1.1. Convert 12hr to 24hr Convert 12hr to 24hr clock. clock.

3.3. Count Method to find time Count Method to find time intervals.intervals.

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2.2. Change from 24 to 12 Change from 24 to 12 hour clock.hour clock.

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

Revision on Time

1.1. Change from 12 to 24 Change from 12 to 24 hour clock.hour clock.

Converting TimeConverting Time

21 Apr 2023 Created by Mr. Lafferty Maths Dept.

2300220021002000190

018001700160015001400

1300

1200

11 pm

10 pm

9 pm8 pm7

pm6 pm5 pm4 pm3 pm2 pm

1 pm

midday

1100100009000800070

006000500040003000200

0100

0000

11 am

10 am

9 am8 am7 am6 am5am4 am3 am2 am1

ammidnigh

t

12/24 Hour Clock

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

2000 2100

1830 2330

1620

Examples

8 pm becomes

9 pm becomes

6:30 pm becomes

11:30 pm becomes

4:20 pm becomes

3:10 pm becomes

1510

21 Apr 2023 Created by Mr. Lafferty Maths Dept.

2300220021002000190

018001700160015001400

1300

1200

11 pm

10 pm

9 pm8 pm7

pm6 pm5 pm4 pm3 pm2 pm

1 pm

midday

1100100009000800070

006000500040003000200

0100

0000

11 am

10 am

9 am8 am7 am6 am5am4 am3 am2 am1

ammidnigh

t

12/24 Hour Clock

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

8 pm 9 pm

5:30 pm 10:08 pm

8:06 pm

Examples

2000 becomes

2100 becomes

1730 becomes 2208 becomes

2006 becomes 1350 becomes 1:50 pm

greater than 12 subtract 12

Let’s make up our own questions !

21 Apr 202321 Apr 2023 Created by Mr.Lafferty Maths DeptCreated by Mr.Lafferty Maths Deptww

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S3 General

Converting TimeConverting Time

Key Points

12 hour clock

Analogue clock

ALWAYS use AM or PM

24 hour clock

Digital clock

NEVER use AM or PM

pm times add on 12

ALWAYS 4 digits

Hours 0 - 24

Hours 1 - 12

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Now try Exercise 1Ch10 (page 108)

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TimeTimeRevision of Time

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o o

2. Name the angle and say what type it is

3. 56.98 100

4. Name the angle that is between 180 and 360

1. Calculate 14 x 100

A

T W

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2.2. Find time differences Find time differences between two times, between two times, showing all working.showing all working.

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

1.1. Understand the counting Understand the counting method.method.

Counting Counting MethodMethod


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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

08 40 11 00 11 10

Hrs Mins

20

210

2 30

nearest hour What’s left

+09 00

hours

20 mins 2 hrs 10 mins

A bus leaves Kirkintilloch Main Street at 14 40 hrsand arrives in Aberdeen at 18 50 hrs. How long was the journey.


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Level D


14 40 18 00 18 50

Hrs Mins

20

350

3 70


+

15 00

hours


But there are 60 minutes =

1hour

70 mins = 1hr 10mins

4hrs 10 mins

Using Timetables

2314

2302

2254

2248

2243

2237

2225

2214

2202

2154

2148

2143

2137

2125

2114

2102

2054

2048

2043

2037

2025

Until

Hour

Every

And

1114

1102

1054

1048

1043

1037

1025

1014

1002

0954

0948

0943

0937

0925

0914

0902

0854

0848

0843

0837

0825

Glasgow Bus Station

George Square

Port Dundas

Springburn

Milton

Bishopbriggs

Kirkie Bus Station**

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

35

014

Hrs Mins

49+

08 25 09 00 09 14


09 00

hours


350

14

Let’s make up our own question !The key steps are left on the slide to help you.


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Level D


Hrs Minsnearest

hour What’s left

+

hours

mins hrs mins

But there are 60 minutes =

1hour

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TimeTimeRevision of Level D/E

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16 3 552. Solve x

1. Find the perimeter and area of the shape.

3. Find all the missing angles.

4x

6x

120o

70o

4x

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1.1. Know the distance Know the distance formula. formula.

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

Distance Working Out Distance

2.2. Use the formula to work Use the formula to work out simply distance out simply distance calculations. calculations.

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DistanceDistanceWorking out Distances

Imagine you were travelling in a train at a steady speedof 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

Can you guess what the formula is :

Distance = Speed×time in symbols D = S ×T

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DistanceDistance Working Out Distance

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.com 1. How f ar did I travel if my speed was 40km/ hr

1 and it took me 2 hrs to travel the distance.

2

1 12. Calculate 4

2 5

3. Remove brackets 4w(3w - 2y)

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

Speed Working Out Speed

2.2. Use the formula to work Use the formula to work out simple speed out simple speed calculations. calculations.

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SpeedSpeedWorking 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


DistanceSpeed =

Timein symbols

DS =

T

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SpeedSpeed Working Out Speed

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28 4

1. I f 3 pints of milk cost £ 1.39. How much f or 2 pints

1 12. Calculate 3 of 2

2 4

3. Factorise

4. Calculate the area of the triangle.

d d

x cm

4 cm

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TimeWorking Out Time

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

1.1. Know the time formula. Know the time formula.

2.2. Use the formula to work Use the formula to work out simple time out simple time calculations. calculations.

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TimeTimeWorking 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


DistanceTime =

Speed in symbolsD

T = S

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TimeTimeWorking Out Time

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18 4 14

1. Calculate 56.7 x 1000

2. Write 5200 in scientifi c notation.

3. Find the time taken to travel 150 km at

a speed of 30 km/ hr.

4. Solve r

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

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

Time Distance SpeedMixed Problems

2. Apply triangle method to mixed problems.

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Mixed Problems

D

S T

D=S x T

DT =

SD

S =T

Simple way to remember the 3 formulae !

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Mixed Problems

D

S TDS =

T

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?

Working

DS =

T135

=2.25

Time MUST be

in decimal

form135 miles

=2 hrs 25 mins

S =60mph

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Mixed Problems

D

S T

D =S T

Example 2 : A racing car travelled at 50 km/hr. What is the distance covered in 6 hours ?

Working

D =S T =300 km=50 6

D =300 km

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Mixed Problems

D

S TD

T =S

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

DT =

S=1.5 hrs

60 km=

40 km/ hr

1T =1 hrs

2

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Mixed Problems

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18 4

3

1. Calculate 8796 200

2. Write 1.34 x 10 out in f ull

3. Convert 48 mins to hours

4. Factorise r r

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1. To interpret Time – Distance Graphs.

1. Understand the term interpret.

Time Distance Graph

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

Interpreting Time – Distance Graphs

S3 General


0

10

20

30

40

50

60

70

80

90

100

1000 1030 1100 1130 1200 1230 1300 1330

Time (24hrs)

Dis

tanc

e (

Km

)

A

BC

E

D

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Time Distance GraphInterpreting Time – Distance Graphs

A to B

D 60S = =

T 1S =60km/ hr

B to C

D 0S = =

T 0.5S =0 km/ hr

C to D

D 40S = =

T 0.5S = 80 km/ hr

D to E

D 100S = =

T 1.25S =80 km/ hr

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Documents

S3 General 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level Time Calculating Distance Time Distance Speed Calculating