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Time Distance Speed

Revision of Level Time. Time Distance Speed. Time Difference ( Counting Method). Calculating Distance. Calculating Speed. www.mathsrevision.com. Calculating Time. Mixed Problems. Time – Distance Graphs. Starter Questions. www.mathsrevision.com. Time. Revision of Time.

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Time Distance Speed

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  1. Revision of Level Time Time Distance Speed Time Difference (Counting Method) Calculating Distance Calculating Speed www.mathsrevision.com Calculating Time Mixed Problems Time – Distance Graphs Created by Mr. Lafferty Maths Dept.

  2. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  3. Time Revision of Time Learning Intention Success Criteria • To revise previous Time work. • 1. Convert 12hr to 24hr clock. • 2. Convert 24hr to 12hr clock. www.mathsrevision.com • 3. Count Method to find time intervals. Created by Mr. Lafferty Maths Dept.

  4. Revision on Time Converting Time Learning Intention Success Criteria • To revise Level D work on converting between • 12 and 24 hr clock and vice versa. • Change from 12 to 24 hour clock. • 2. Change from 24 to 12 hour clock. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  5. 12/24 Hour Clock midnight 1 am 2 am 3 am 4 am 5am 6 am 7 am 8 am 9 am 10 am 11 am 0000 0100 0200 0300 0400 0500 0600 0700 0800 0900 1000 1100 midday 1 pm 2 pm 3 pm 4 pm 5 pm 6 pm 7 pm 8 pm 9 pm 10 pm 11 pm 1200 1300 1400 1500 1600 1700 1800 1900 2000 2100 2200 2300 Examples 9 pm becomes 8 pm becomes 6:30 pm becomes 11:30 pm becomes 4:20 pm becomes 3:10 pm becomes To go from 12 hour clock to 24 hour clock just add 12 to the pm hours: 2100 2000 1830 2330 1620 1510 Created by Mr. Lafferty Maths Dept.

  6. 12/24 Hour Clock midnight 1 am 2 am 3 am 4 am 5am 6 am 7 am 8 am 9 am 10 am 11 am 0000 0100 0200 0300 0400 0500 0600 0700 0800 0900 1000 1100 midday 1 pm 2 pm 3 pm 4 pm 5 pm 6 pm 7 pm 8 pm 9 pm 10 pm 11 pm 1200 1300 1400 1500 1600 1700 1800 1900 2000 2100 2200 2300 Examples 2100 becomes 2000 becomes 1730 becomes 2208 becomes 2006 becomes 1350 becomes To go from 24 hour clock to 12 hour clock just subtract 12 from the hours if it is greater than 12: 9 pm 8 pm 5:30 pm 10:08 pm 8:06 pm 1:50 pm Created by Mr. Lafferty Maths Dept.

  7. Converting Time S3 General Let’s make up our own questions ! Key Points pm times add on 12 12 hour clock 24 hour clock www.mathsrevision.com Analogue clock Digital clock ALWAYS use AM or PM ALWAYS 4 digits Hours 1 - 12 NEVER use AM or PM greater than 12 subtract 12 Hours 0 - 24 Created by Mr.Lafferty Maths Dept

  8. Time Revision of Time Now try Exercise 1 Ch10 (page 108) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  9. A Starter Questions T W www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  10. Counting Method Learning Intention Success Criteria • To explain the counting method to find the difference between two times. • 1. Understand the counting method. • 2. Find time differences between two times, showing all working. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  11. Counting Method Level D When working out time difference we will use the Counting Method. This method will always work. Example : Find the time difference between 08 40 hrs and 11 10 hrs Hrs Mins nearest hour www.mathsrevision.com What’s left 20 hours 2 08 40 09 00 11 00 11 10 + 10 20 mins 2 hrs 10 mins 2 30 Created by Mr.Lafferty Maths Dept

  12. But there are 60 minutes = 1hour 70 mins = 1hr 10mins Counting Method Level D A bus leaves Kirkintilloch Main Street at 14 40 hrs and arrives in Aberdeen at 18 50 hrs. How long was the journey. nearest hour What’s left Hrs Mins hours www.mathsrevision.com 20 14 40 15 00 18 00 18 50 3 20 mins 3 hrs 50 mins + 50 3 70 4hrs 10 mins Created by Mr.Lafferty Maths Dept

  13. Using Timetables * * * Kirkie Bus Station 0825 0925 1025 2025 2125 2225 Bishopbriggs 0837 0937 1037 And 2037 2137 2237 Milton 0843 0943 1043 Every 2043 2143 2243 Springburn 0848 0948 1048 Hour 2048 2148 2248 Port Dundas 0854 0954 1054 Until 2054 2154 2254 George Square 0902 1002 1102 2102 2202 2302 Glasgow Bus Station 0914 1014 1114 2114 2214 2314 How long does the first bus take from Kirkie to Glasgow. nearest hour Hrs Mins What’s left hours 35 35 08 25 09 00 09 00 09 14 0 0 35 mins 0 hrs 14 mins 14 + 14 49

  14. But there are 60 minutes = 1hour Counting Method Level D Let’s make up our own question ! The key steps are left on the slide to help you. nearest hour What’s left Hrs Mins hours www.mathsrevision.com mins hrs mins + Created by Mr.Lafferty Maths Dept

  15. Time Revision of Level D/E Now try Exercise 2 Ch10 (page 109) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  16. 120o 70o Starter Questions 6x 4x 4x www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  17. Distance Working Out Distance Learning Intention Success Criteria • Know the distance formula. • 1. To explain how to work out simple distance calculations using the distance formula. • 2. Use the formula to work out simply distance calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  18. 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 www.mathsrevision.com Can you guess what the formula is : in symbols Created by Mr. Lafferty Maths Dept.

  19. Distance Working Out Distance Now try Exercise 3 Ch10 (page 110) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  20. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  21. Speed Working Out Speed Learning Intention Success Criteria • Know the speed formula. • 1. To explain how to work out simple speed calculations using the speed formula. • 2. Use the formula to work out simple speed calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  22. 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 www.mathsrevision.com Can you guess what the formula is : in symbols Created by Mr. Lafferty Maths Dept.

  23. Speed Working Out Speed Now try Exercise 4 Ch10 (page 112) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  24. Starter Questions www.mathsrevision.com 4 cm x cm Created by Mr. Lafferty Maths Dept.

  25. Time Working Out Time Learning Intention Success Criteria • Know the time formula. • 1. To explain how to work out simple time calculations using the time formula. • 2. Use the formula to work out simple time calculations. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  26. 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 ÷ 200 = 4 hours www.mathsrevision.com Can you guess what the formula is : in symbols Created by Mr. Lafferty Maths Dept.

  27. Time Working Out Time Now try Exercise 5 Ch10 (page 113) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  28. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  29. Time Distance Speed Mixed Problems Learning Intention Success Criteria 1. Know and remember triangle method for distance, speed time problems. • 1. To show the traingle method of remembering the distance, speed and time formulae. 2. Apply triangle method to mixed problems. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  30. Time Distance Speed Mixed Problems D=S x T D S T www.mathsrevision.com Simple way to remember the 3 formulae ! Created by Mr. Lafferty Maths Dept.

  31. D S T Time Distance Speed Mixed Problems 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? Time MUST be in decimal form Working www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  32. D S T Time Distance Speed Mixed Problems Example 2 : A racing car travelled at 50 km/hr. What is the distance covered in 6 hours ? Working www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  33. D S T Time Distance Speed Mixed Problems 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 www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  34. Time Distance Speed Mixed Problems Now try Exercise 6 Ch10 (page 114) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  35. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  36. Time Distance Graph Interpreting Time – Distance Graphs Learning Intention Success Criteria 1. Understand the term interpret. • To interpret • Time – Distance Graphs. • Understand that the speed can be calculated from the • Time - Distance Graph. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  37. Time Distance Graph Interpreting Time – Distance Graphs www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  38. Time Distance Speed Now try Exercise 7 Ch10 (page 115) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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