Level F 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level D/E Time Calculating Distance...

Level F

19 Apr 202319 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Revision of Level D/E Time

Calculating Distance

Time Distance Time Distance SpeedSpeed

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Calculating Speed

Calculating Time

Converting Hour Minutes to Decimal Time vice versa

Time, Distance and Speed Problems

Time – Distance Graphs

Level F


Starter QuestionsStarter Questionsw

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5 (5 2 )

(-2 ) (6 ) 10

2. I want to split 39 pence between Daniel and Amy

in the ratio 6:7. How much will each get.

x

g g

a a a

1. Solve

3. Expand

4. Simplify

Level F

19 Apr 202319 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 Level D/E work on Time.

Time Time Revision of Level D/E

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.

19 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

19 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

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Counting Counting MethodMethod

When working out time difference we will use the Counting Method. This method will always work.

Example : Find the time difference between 08 46 hrs and 11 52 hrs

08 46 09 00

09 00 11 00

11 00 11 52

Hrs Mins

14

252

2 66

60 mins = 1hr

3 hrs 6 mins

nearest hour

hours

What’s left +

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What’s left


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Counting Counting MethodMethod

Example : Find the time difference between 02 37 hrs and 23 49 hrs

02 37 03 00

03 00 23 00

23 00 23 49

Hrs Mins

23

2049

20 72

nearest hour

hours

+

21hrs 12mins

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Do some Q’s Ex2.1 3.1 & 3.2

Ch6 (page 127)

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TimeTimeRevision of Level D/E

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2

1. How long between 0829 hrs and 15 47hrs

2. Factorise 2w +4w

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.

SpeedSpeed 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 average speed is : 15km/hr

Can you guess what the formula is :

DistanceSpeed =

Timein symbols

DS =

T

Careful with time units (hours ONLY)

2hrs 30mins = 2.5 hours

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For each set of values calculate the average speed

Be careful with the units !

Level F


Now try Ex 4Start at Q2

Ch6 (page 135)

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130 60

2

1. Calculate 56.8 40

2. Write 475200 in scientifi c notation.

3. Write down how many signifi cant fi gures

the number 0.06070 has.

4. Solve g

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1. To show how to convert hours and minutes to hours ONLY (decimal time) and vice versa.

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

Hrs Mins to Decimal Hrs Mins to Decimal TimeTime

2. Convert from hours and mins to hours ONLY (decimal time) and vice versa

Converting Hrs Mins to Decimal Time

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Converting Hrs Mins to Decimal Time

You should already know :1

30mins = hour =0.5 hours2

115mins hour =0.25 hours

4

345mins = hour =0.75 hours

4

Example 1 :48 minutes to decimal is48

60= 0.8 hr

Example 2 :2hr 15 minutes to decimal is15

260

= 2.25 hr

To change minutes to decimal hours ‘divide minutes by 60’

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Example 1 : 0.7 hrs to minutes is 0.7 ×60 = 42 mins

Example 2 :3.4 hrs to hours and minutes is

3+0.4 ×60= 3 hrs 24 mins

Converting Decimal Time to Hrs Mins

To change decimal time to minutes ‘multiply the decimal part by 60’

Level F

www.mathsrevision.comwww.mathsrevision.com

What Goes In The Box ?

Convert these hours and minutes to hours only

1hr 12mins 3hrs 6mins 9 hrs 36mins

1.4 hrs 3.7 hrs 8.9 hrs

= 1.2 hrs

= 3.1 hrs

= 9.6 hrs

1hr 24mins 1hr 24mins

3hrs 3hrs 42mins42mins

8hrs 8hrs 54mins54mins

Convert these hours to hours and minutes

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Level F


Now try Exercise4.2

Ch6 (page 137)

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Converting Hrs Mins to Decimal Times

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28 4

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

2. Write 55minutes in hours

3. Factorise

4. Calculate the area of the triangle.

d d

x cm

4 cm

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TimeTimeWorking 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. AndAndthe importance of units. the importance of units.

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

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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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TimeTime Working Out Time

For each set of values calculate the time

Level F


Now try Ex 5.1Start at Q2

Ch6 (page 138)

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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.

DistanceDistance 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


Distance = Speed×time in symbols D = S T

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For each set of values calculate the distance

Be careful with the units !

Level F


Now try Ex 6.1Ch6 (page 140)

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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 triangle method of remembering the distance, speed and time formulae.

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


Mixed Problems

2. Apply triangle method to mixed problems.

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Mixed Problems

D

S TD

T =S

DS =

T

Simple way to remember the 3 formulae !

D=S T



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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 hours format135 miles

=1

2 hrs4

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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35 15

1. I travelled 160 miles in 5 hours.

What was my average speed.

2. Find the highest common f actor f or

(a) 36 and 60 (b) 16y and 44y

3. Factorise q q

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1. To interpret Time – Distance Graphs.

1. Understand the term interpret.

Time Distance Time Distance GraphGraph

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

Interpreting Time – Distance Graphs

Level F


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 Time Distance GraphGraph

Interpreting 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

Level F



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Level F 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level D/E Time Calculating Distance...

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Transcript of Level F 5-Aug-15Created by Mr. Lafferty Maths Dept. Revision of Level D/E Time Calculating Distance...