num 8-jan-16created by mr. lafferty maths dept. time distance speed revision of level 2 time...

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

Time Distance Time Distance SpeedSpeed

Revision of Level 2 Time

Calculating Distance

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Calculating Speed

Calculating Time

Mixed Problems

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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

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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 Level 2 work on Time.

Time Time Revision of Level 2

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.

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

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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 0011 00 11 52

Hrs Mins

14

252

2 66

60 mins = 1hr

3 hrs 6 minsnearest hour

hours

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 0023 00 23 49

Hrs Mins

23

2049

20 72

nearest hour

hours

What’s left?+

21hrs 12mins

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Now try LifeskillsEx 1 & 2

Ch5 (page 40)

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TimeTimeRevision of Level 2

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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. Understand the distance Understand the distance formula. formula.

1. We are learning how to work out simple distance.

DistanceDistance Working Out Distance

2.2. Apply the formula to Apply the formula to calculate simple distance.calculate simple distance.

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DistanceDistanceWorking 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 kmIn 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

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

Working

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Now try LifeskillsEx 3

Ch5 (page 42)

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DistanceDistance

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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

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

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1.1. Understand the speed Understand the speed formula. formula.

1. We are learning how to calculate simple speed.

SpeedSpeed Working Out Speed

2.2. Apply the formula to Apply the formula to calculate simple speed.calculate simple speed.

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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 kmThis means your speed is : 15km/hr


DistanceSpeed =

Time in symbols DS =

T

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SpeedSpeed

Example : Sean flies to Majorca on holiday , a distance of 2500km. It took 4hrs to get there. What was the plane’s average speed?

Working

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Ch5 (page 43)

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SpeedSpeed

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2. Calculate the area of the triangle.

6 cm

4 cm

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TimeTimeWorking Out Time

1. We are learning how to calculate simple time.

1.1. Remember the time Remember the time formula. formula.

2.2. Apply the formula to Apply the formula to calculate simple time.calculate simple time.

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Basic Fractional Basic Fractional HoursHours

You should already know :

130mins = hour =0.5 hour

2


4


4

120mins = hour =0.33.. hour

3

240mins = hour =0.66.. hour

3

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Hrs Mins to Decimal Hrs Mins to Decimal TimeTime

Converting Hrs Mins to Decimal Time

To convert minutes to decimal hourswe simply divide minutes by 60.

Example : 48 minutes to decimal is48

60= 0.8 hr

Example :2hr 15 minutes to decimal is15

260

= 2.25 hr

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Calculate the decimal hour value for minutes below.

9.75 hrs

7.25 hrs

6.5 hrs

Convert 9 hrs 45 mins into hours



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Try and remember the more common decimal hours

6 mins → 0.1 hrs12 mins → 0.2 hrs18 mins → 0.3 hrs24 mins → 0.4 hrs30 mins → 0.5 hrs36 mins → 0.6 hrs42 mins → 0.7 hrs48 mins → 0.8 hrs54 mins → 0.9 hrs

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Calculate the decimal hour value for minutes below.

0.7hrs

0.6hrs

0.2hrs

0.4hrs

0.3hrs0.5hrs0.1hrs0.9hrs

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You should already know :

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

To convert back to and minutes we do the opposite :

To change decimal time to minutes ‘multiply by 60’

Converting Decimal Time to Hrs Mins

MNU 4-10b


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

Example : 3.4 hrs to hours and minutes is

3+0.4 ×60= 3 hrs 24 mins


To change decimal time to minutes ‘multiply by 60’

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Decimal Time to Hrs Decimal Time to Hrs Mins Mins

Calculate the hours and minutes for theses decimal hours

3hrs 30mins

4hr 15mins

6hrs 45mins

MNU 4-10b


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Calculate the hours and minutes for theses decimal hours

4hrs 42mins

1hr 48mins

4hrs 36mins

1hr 24mins

3hrs 18mins

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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 =

Speedin symbols

DT =

S

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TimeTime

Ex : Tony ran 400 metres at an average speed of 5m/s.How long did he take to complete the race.

Working

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Ch5 (page 45)

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TimeTime

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Starter Starter QuestionsQuestions

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What are the rules for integers ?

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1. We are revising Basic DST.

1. Remember triangle method for distance, speed time problems.


Mixed Problems

2. Apply triangle method to mixed problems (Whole Numbers only).

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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

DT =

S

Ex : A bus travels from Glasgow to London a distance of 556.8km. It took 9 hours and 36 minutes. What was the average speed of the bus ?

Working

D

S T

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Mixed Problems

Example : A train travelled at 70 km/hr for 2hrs 54mins. How far did it travel in this time.

Working

D

S T

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Mixed Problems

DT =

S

Ex : A bus travels from Glasgow to London a distance of 556.8km. It took 9 hours and 36 minutes. What was the average speed of the bus ?

Working

D

S T

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Ch5 (page 47)

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Mixed Mixed QuestionsQuestions

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