Post on 19-Jan-2016
transcript
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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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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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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try LifeskillsEx 1 & 2
Ch5 (page 40)
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TimeTimeRevision of Level 2
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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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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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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
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
Can you guess what the formula is :
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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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try LifeskillsEx 4
Ch5 (page 43)
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SpeedSpeed
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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Starter QuestionsStarter Questionsw
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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
115mins = hour =0.25 hour
4
345mins = hour =0.75 hour
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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Hrs Mins to Decimal Hrs Mins to Decimal TimeTime
Calculate the decimal hour value for minutes below.
9.75 hrs
7.25 hrs
6.5 hrs
Convert 9 hrs 45 mins into hours
Convert 7 hrs 15 mins into hours
Convert 6 hrs 30 mins into hours
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Hrs Mins to Decimal Hrs Mins to Decimal TimeTime
Converting Hrs Mins to Decimal Time
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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Hrs Mins to Decimal Hrs Mins to Decimal TimeTime
Converting Hrs Mins to Decimal Time
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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Hrs Mins to Decimal Hrs Mins to Decimal TimeTime
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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Hrs Mins to Decimal Hrs Mins to Decimal TimeTime
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
Converting Decimal Time to Hrs 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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Hrs Mins to Decimal Hrs Mins to Decimal TimeTime
Converting Decimal Time to Hrs Mins
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
Can you guess what the formula is :
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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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try LifeskillsEx 5
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.
Time Distance Time Distance SpeedSpeed
Mixed Problems
2. Apply triangle method to mixed problems (Whole Numbers only).
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Time Distance Time Distance SpeedSpeed
Mixed Problems
D
S TD
T =S
DS =
T
Simple way to remember the 3 formulae !
D=S T
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Time Distance Time Distance SpeedSpeed
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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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Time Distance Time Distance SpeedSpeed
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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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
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Time Distance Time Distance SpeedSpeed
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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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.
Now try LifeskillsEx 6
Ch5 (page 47)
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Mixed Mixed QuestionsQuestions
Have you updated your Learning Log ?
Are you on Target ?I can ?
Mind Map