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Time Distance Speed

Revision of Level D/E Time. Time Distance Speed. Calculating Speed. Converting Hour Minutes to Decimal Time vice versa. Calculating Time. Calculating Distance. www.mathsrevision.com. Time, Distance and Speed Problems. Time – Distance Graphs. Starter Questions. www.mathsrevision.com.

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Time Distance Speed

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  1. Revision of Level D/E Time Time Distance Speed Calculating Speed Converting Hour Minutes to Decimal Time vice versa Calculating Time Calculating Distance www.mathsrevision.com Time, Distance and Speed 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 Level D/E Learning Intention Success Criteria • To revise Level D/E work on Time. • 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. 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.

  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 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.

  6. Counting Method When working out time difference we will use the Counting Method. This method will always work. 60 mins = 1hr 3 hrs 6 mins Example : Find the time difference between 08 46 hrs and 11 52 hrs Hrs Mins nearest hour www.mathsrevision.com 08 46  09 00 14 hours 2 09 00  11 00 + What’s left 52 11 00  11 52 2 66 Created by Mr. Lafferty Maths Dept.

  7. Counting Method Example : Find the time difference between 02 37 hrs and 23 49 hrs Hrs Mins nearest hour 02 37  03 00 23 hours 03 00  23 00 20 What’s left + 49 www.mathsrevision.com 23 00  23 49 20 72 21hrs 12mins Created by Mr. Lafferty Maths Dept.

  8. Time Revision of Level D/E Do some Q’s Ex2.1 3.1 & 3.2 Ch6 (page 127) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  10. 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.

  11. Careful with time units (hours ONLY) 2hrs 30mins = 2.5 hours 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 average speed is : 15km/hr www.mathsrevision.com Can you guess what the formula is : in symbols Created by Mr. Lafferty Maths Dept.

  12. Be careful with the units ! Speed Working Out Speed For each set of values calculate the average speed www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  13. Speed Working Out Speed Now try Ex 4 Start at Q2 Ch6 (page 135) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  15. Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time Learning Intention Success Criteria 1. Know that decimal time MUST be used in formulae. • 1. To show how to convert hours and minutes to hours ONLY (decimal time) and vice versa. 2. Convert from hours and mins to hours ONLY (decimal time) and vice versa www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  16. Hrs Mins to Decimal Time Converting Hrs Mins to Decimal Time You should already know : Example 1 : 48 minutes to decimal is = 0.8 hr www.mathsrevision.com = 2.25 hr Example 2 : 2hr 15 minutes to decimal is To change minutes to decimal hours ‘divide minutes by 60’ Created by Mr. Lafferty Maths Dept.

  17. Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins To change decimal time to minutes ‘multiply the decimal part by 60’ Example 1 : 0.7 hrs to minutes is = 42 mins www.mathsrevision.com 3.4 hrs to hours and minutes is Example 2 : = 3 hrs 24 mins Created by Mr. Lafferty Maths Dept.

  18. What Goes In The Box ? Convert these hours and minutes to hours only 1hr 12mins 3hrs 6mins 9 hrs 36mins = 1.2 hrs = 3.1 hrs = 9.6 hrs www.mathsrevision.com Convert these hours to hours and minutes 8.9 hrs 1.4 hrs 3.7 hrs 3hrs 42mins 8hrs 54mins 1hr 24mins www.mathsrevision.com

  19. Time Distance Speed Converting Hrs Mins to Decimal Times Now try Exercise4.2 Ch6 (page 137) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  21. Time Working Out Time Learning Intention Success Criteria • Know the time formula. And • the importance of units. • 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.

  22. Careful with time units (hours ONLY) 2hrs 30mins = 2.5 hours 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.

  23. Time Working Out Time For each set of values calculate the time www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  24. Time Working Out Time Now try Ex 5.1 Start at Q2 Ch6 (page 138) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  25. 120o 70o Starter Questions 6x 4x 4x www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  26. 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.

  27. 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.

  28. Be careful with the units ! Distance Working Out Distance For each set of values calculate the distance www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  29. Distance Working Out Distance Now try Ex 6.1 Ch6 (page 140) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  31. Time Distance Speed Mixed Problems Learning Intention Success Criteria 1. Know and remember triangle method for distance, speed time problems. • 1. To show the triangle 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.

  32. Careful with time units (hours ONLY) 2hrs 30mins = 2.5 hours D=S T Time Distance Speed Mixed Problems D S T www.mathsrevision.com Simple way to remember the 3 formulae ! Created by Mr. Lafferty Maths Dept.

  33. 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 hours format Working www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

  34. 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.

  35. 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.

  36. Time Distance Speed Mixed Problems Now try Ex 7.1 Ch6 (page 142) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

  38. 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.

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

  40. Time Distance Speed Now try Ex 8.1 Ch6 (page 144) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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