1. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. Basic DST (Whole Number Only) DST (Half and Quarter Hours) Time Distance Speed www.mathsrevision.com Converting Hour Minutes to Decimal Time Converting Decimal Time to Hour Minutes Time – Distance Graphs

2. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

3. MNU 3-10b 29-Oct-15Created 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).

4. 29-Oct-15Created 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 MNU 3-10b

5. 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems 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 D ST MNU 3-10b

6. 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems Example : A racing car travelled at 50 km/hr. What is the distance covered in 6 hours ? Working D ST MNU 3-10b

7. 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems Example : Tony ran 400 metres at an average speed of 5m/s. How long did he take to complete the race. Working D ST MNU 3-10b

8. 29-Oct-15Created by Mr. Lafferty Maths Department Now try TJ3a Ex 1 Ch15 (page 133) www.mathsrevision.com DST

9. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 4x 6x 120 o 70 o 4x

10. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand decimal equivalent for half and quarter hours. 1. We are learning how to calculate DST with fractional times. Distance Working Out Distance 2.Apply fractional hours to mixed problems.

11. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Basic Fractional Hours You should already know :

12. 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example : Daniel drove from his house to the Blackpool, a distance of 135 miles. It took him 2hrs 15mins. What was his average speed? Working Time MUST be in hours format D ST MNU 3-10b Basic Fractional Hours

13. 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example : How long did the bus journey take if it travelled a total distance of 60 km at an average speed of 40 km/hr. Working D ST MNU 3-10b Basic Fractional Hours

14. 29-Oct-15Created by Mr. Lafferty Maths Department Now try TJ3a Ex 2 Ch15 (page 135) www.mathsrevision.com Basic Fractional Hours

15. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

16. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning how to convert hours and minutes to decimal time. 1. Remember that decimal time MUST be used in formulae. Hrs Mins to Decimal Time 2. Convert from hours and mins to decimal time. Converting Hrs Mins to Decimal Time

17. MNU 3-10b 29-Oct-15Created 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

18. MNU 3-10b 29-Oct-15Created 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

19. MNU 3-10b 29-Oct-15Created 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

20. 29-Oct-15Created 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 MNU 3-10b

21. 29-Oct-15Created 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 MNU 3-10b

22. 29-Oct-15Created by Mr. Lafferty Maths Department Now try TJ3a Ex 3 Ch15 (page 137) www.mathsrevision.com DST

23. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

24. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning how to convert back from decimal time to hours and minutes. 1. Apply the rule for converting back from decimal time to hours and mins. Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins

25. MNU 3-10b 29-Oct-15Created 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

26. MNU 3-10b 29-Oct-15Created 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’

27. MNU 3-10b 29-Oct-15Created 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

28. 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Time Distance Speed Mixed Problems Example : The Distance between Glasgow and Edinburgh is 84km. If I travelled at an average speed of 70km/hr. How long did the journey take to the nearest minute ? Working D ST MNU 3-10b

29. 29-Oct-15Created by Mr. Lafferty Maths Department Now try TJ3a Ex 4 Ch15 (page 139) www.mathsrevision.com DST

30. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

31. MNU 3-10b 29-Oct-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.We are learning 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

33. 29-Oct-15Created by Mr. Lafferty Maths Department Now try TJ3a Ex 5 Ch15 (page 141) www.mathsrevision.com DST