1. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Time Distance Speed Revision of Level 2 Time Calculating Distance www.mathsrevision.com Calculating Speed Calculating Time Mixed Problems

2. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

3. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Convert 24hr to 12hr clock. 1.To revise Level 2 work on Time. Time Revision of Level 2 1.Convert 12hr to 24hr clock. 3.Count Method to find time intervals.

4. 8-Jan-16Created by Mr. Lafferty Maths Dept. 230022002100200019001800170016001500140013001200 11 pm10 pm9 pm8 pm7 pm6 pm5 pm4 pm3 pm2 pm1 pmmidday 110010000900080007000600050004000300020001000000 11 am10 am9 am8 am7 am6 am5am4 am3 am2 am1 am midnight 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

5. 8-Jan-16Created by Mr. Lafferty Maths Dept. 230022002100200019001800170016001500140013001200 11 pm10 pm9 pm8 pm7 pm6 pm5 pm4 pm3 pm2 pm1 pmmidday 110010000900080007000600050004000300020001000000 11 am10 am9 am8 am7 am6 am5am4 am3 am2 am1 am midnight 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

6. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Counting Method 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 HrsMins 14 2 52 266 60 mins = 1hr 3 hrs 6 mins nearest hour hours What’s left? +

7. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Counting Method 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 HrsMins 23 20 49 2072 nearest hour hours What’s left? + 21hrs 12mins

8. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Now try Lifeskills Ex 1 & 2 Ch5 (page 40) www.mathsrevision.com Time Revision of Level 2

9. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 4x 6x 120 o 70 o 4x

10. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand the distance formula. 1. We are learning how to work out simple distance. Distance Working Out Distance 2.Apply the formula to calculate simple distance.

11. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 Can you guess what the formula is : in symbols

12. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Distance Example : A racing car travelled at 50 km/hr. What is the distance covered in 6 hours ? Working

13. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Now try Lifeskills Ex 3 Ch5 (page 42) www.mathsrevision.com Distance

14. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

15. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand the speed formula. 1. We are learning how to calculate simple speed. Speed Working Out Speed 2.Apply the formula to calculate simple speed.

16. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 Can you guess what the formula is : in symbols

17. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Speed 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

18. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Now try Lifeskills Ex 4 Ch5 (page 43) www.mathsrevision.com Speed

19. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 6 cm 4 cm

20. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria Time Working Out Time 1. We are learning how to calculate simple time. 1.Remember the time formula. 2.Apply the formula to calculate simple time.

21. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Basic Fractional Hours You should already know :

22. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time To convert minutes to decimal hours we simply divide minutes by 60. Example : 48 minutes to decimal is= 0.8 hr Example :2hr 15 minutes to decimal is = 2.25 hr

23. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Hrs Mins to Decimal Time 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

24. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time Try and remember the more common decimal hours 6 mins → 0.1 hrs 12 mins → 0.2 hrs 18 mins → 0.3 hrs 24 mins → 0.4 hrs 30 mins → 0.5 hrs 36 mins → 0.6 hrs 42 mins → 0.7 hrs 48 mins → 0.8 hrs 54 mins → 0.9 hrs

25. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time Calculate the decimal hour value for minutes below. 0.7hrs 0.6hrs 0.2hrs 0.4hrs 0.3hrs 0.5hrs 0.1hrs 0.9hrs

26. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Hrs Mins to Decimal Time 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

27. MNU 4-10b 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Hrs Mins to Decimal Time Example : 0.7 hrs to minutes is = 42 mins Example : 3.4 hrs to hours and minutes is = 3 hrs 24 mins Converting Decimal Time to Hrs Mins To change decimal time to minutes ‘multiply by 60’

28. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Decimal Time to Hrs Mins Calculate the hours and minutes for theses decimal hours 3hrs 30mins 4hr 15mins 6hrs 45mins

29. MNU 4-10b 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Hrs Mins to Decimal Time 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

30. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 ÷ 2 00 = 4 hours Can you guess what the formula is : in symbols

31. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Ex : Tony ran 400 metres at an average speed of 5m/s. How long did he take to complete the race. Working

32. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Now try Lifeskills Ex 5 Ch5 (page 45) www.mathsrevision.com Time

33. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com What are the rules for integers ?

34. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are revising Basic DST. 1. Remember triangle method for distance, speed time problems. Time Distance Speed Mixed Problems 2.Apply triangle method to mixed problems (Whole Numbers only).

35. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems D ST Simple way to remember the 3 formulae ! D=S T

36. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems 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 ST

37. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems Example : A train travelled at 70 km/hr for 2hrs 54mins. How far did it travel in this time. Working D ST

38. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems 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 ST

39. Num 8-Jan-16Created by Mr. Lafferty Maths Dept. Now try Lifeskills Ex 6 Ch5 (page 47) www.mathsrevision.com Mixed Questions Have you updated your Learning Log ? Are you on Target ? I can ? Mind Map