Time Distance Speed Calculating Distance Calculating Speed

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Presentation transcript:

Time Distance Speed Calculating Distance Calculating Speed Calculating Time Time, Distance and Speed Problems Converting Hour Minutes to Decimal Time Converting Decimal Time to Hour Minutes Time – Distance Graphs

Time Learning Intention Success Criteria Time. 1. Convert 12hr to 24hr clock. 2. Convert 24hr to 12hr clock. 3. Count Method to find time intervals.

Created by Mr. Lafferty Maths Dept. 2300 2200 2100 2000 1900 1800 1700 1600 1500 1400 1300 1200 11 pm 10 pm 9 pm 8 pm 7 pm 6 pm 5 pm 4 pm 3 pm 2 pm 1 pm midday 1100 1000 0900 0800 0700 0600 0500 0400 0300 0200 0100 0000 11 am 10 am 9 am 8 am 7 am 6 am 5am 4 am 3 am 2 am 1 am midnight 12/24 Hour Clock To go from 12 hour clock to 24 hour clock just add 12 to the pm hours: Examples 8 pm becomes 9 pm becomes 6:30 pm becomes 11:30 pm becomes 4:20 pm becomes 3:10 pm becomes 2000 2100 1830 2330 1620 1510 9-May-19 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept. 2300 2200 2100 2000 1900 1800 1700 1600 1500 1400 1300 1200 11 pm 10 pm 9 pm 8 pm 7 pm 6 pm 5 pm 4 pm 3 pm 2 pm 1 pm midday 1100 1000 0900 0800 0700 0600 0500 0400 0300 0200 0100 0000 11 am 10 am 9 am 8 am 7 am 6 am 5am 4 am 3 am 2 am 1 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: Examples 2000 becomes 2100 becomes 1730 becomes 2208 becomes 2006 becomes 1350 becomes 8 pm 9 pm 5:30 pm 10:08 pm 8:06 pm 1:50 pm 9-May-19 Created by Mr. Lafferty Maths Dept.

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 08 46  09 00 14 hours 09 00  11 00 2 What’s left? + 11 00  11 52 52 2 66

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? + 23 00  23 49 49 20 72 21hrs 12mins

Distance Working Out Distance Learning Intention Success Criteria 1. To explain how to work out simple distance calculations using the distance formula. Know the distance formula. 2. Use the formula to work out simple distance calculations.

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

Time Distance Speed Example : A racing car travelled at 50 km/hr. Mixed Problems Example : A racing car travelled at 50 km/hr. What is the distance covered in 6 hours 30mins ? Working

Speed Working Out Speed Learning Intention Success Criteria 1. To explain how to work out simple speed calculations using the speed formula. Know the speed formula. 2. Use the formula to work out simple speed calculations.

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

Time Distance Speed Working Mixed Problems Example : Liam drove from his house to the Fort William, a distance of 315 miles. It took him 3hrs. What was his average speed? Working

Time Distance Speed Mixed Problems Example How long did the bus journey take if it travelled a total distance of 100 km at and an average speed of 40 km/hr.

D S T Time Distance Speed Mixed Problems Simple way to remember the 3 formulae !

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 D S T

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 an average speed of 40 km/hr. D S T Working

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 decimal time. 2. Convert from hours and mins to decimal time.

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 Example 2 : 2hr 15 minutes to decimal is = 2.25 hr To change minutes to a decimal ‘divide by 60’

Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins Learning Intention Success Criteria 1. Know the rule for converting back from decimal time to hours and mins. 1. To show how to convert back from decimal time to hours and minutes.

Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins 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’

Hrs Mins to Decimal Time Converting Decimal Time to Hrs Mins To change decimal time to minutes ‘multiply by 60’ Example 1 : 0.7 hrs to minutes is = 42 mins Example 2 : 3.4 hrs to hours and minutes is = 3 hrs 24 mins

Time Distance Graph Interpreting Time – Distance Graphs