Maths Maths | Year 6 | Statistics | Interpret and Construct Charts and Graphs | Lesson 5 of 6: Transport Pie Charts
Aim Aim • I can interpret pie charts and use them to solve problems. Success Criteria Success Criteria • Statement 1 Lorem ipsum dolor sit amet, consectetur adipiscing elit. • I can interpret data presented in a pie chart. • Statement 2 • I can use percentages to answer questions about data presented in a pie chart. • Sub statement • I can solve problems using data represented in pie charts.
Traffic Check Megan watched the road outside her house for an hour, and made a note of the different types of vehicles she saw. She saw 120 vehicles altogether. She constructed a pie chart to show her results. Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike
Traffic Check What proportion of the vehicles that Megan saw were cars? Vehicl cles Seen n in One Hour Answ swers Half of the vehicles she saw were cars. Can you express this as a percentage? A half is equivalent to 50%. 50% of the vehicles that Megan saw were cars. Car Bicycle Lorry Van Motorbike
Traffic Check What proportion of the vehicles that Megan saw were lorries? Vehicl cles Seen n in One Hour Answ swers A quarter of the vehicles she saw were lorries. Can you express this as a percentage? One quarter is equivalent to 25%. 25% of the vehicles were lorries. Car Bicycle Lorry Van Motorbike
Traffic Check We know that Megan saw 120 vehicles altogether. Using the percentages we have found, can you find out exactly how many cars and how many lorries Megan saw? Vehicl cles Seen n in One Hour 50% of 120 is 60, so I saw 60 cars. 25% of 120 is 30, so I saw 30 lorries. Car Bicycle Lorry Van Motorbike
Traffic Check Megan saw 12 vans and 12 motorbikes. What percentage of 120 is 12? Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike
Traffic Check We now need to work out how many bicycles Megan saw. Can you use the data we have already worked out to find out how many bicycles she saw? Vehicl cles Seen n in One Hour Therefore, You could do this in two I saw 6 different ways. bicycles! You could add up the number of each vehicle seen: 60 + 30 + 12 + 12 = 114. Then, take 114 from the total number of vehicles seen: 120 – 114 = 6. Car Bicycle Lorry Van Motorbike
Traffic Check We now need to work out how many bicycles Megan saw. Can you use the data we have already worked out to find out how many bicycles she saw? Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike
Car Colours Pie Chart One rainy afternoon, Aneesha carried out a survey to find out how many different coloured cars drove past her house. She created a pie chart to show the results. Colour of Car Seen Red Blue Silver Black Green
Car Colours Pie Chart Looking at the proportional sizes of the sectors in this pie chart, answer the following questions: Colour of Car Seen Red! Which car colour drove past my house the most? Red Blue Silver Black Green
Car Colours Pie Chart Looking at the proportional sizes of the sectors in this pie chart, answer the following questions: Colour of Car Seen Green! Did more blue cars or green cars drive past my house? Red Blue Silver Black Green
Car Colours Pie Chart Looking at the proportional sizes of the sectors in this pie chart, answer the following questions: Colour of Car Seen Silver! Did fewer black cars or silver cars drive past my house? Red Blue Silver Black Green
Calculating Pie Chart Values Aneesha adds data labels to each sector of the pie chart to give more information about their value. Colour of Car Seen 17% This is the only sector where the value is 33% labelled. We are told that 24 black cars drove past Aneesha’s house. 24 cars 8% In all the other sectors, the 17% percentage of each sector is labelled. Remember that the complete pie chart equals 100%. Red Blue Silver Black Green
Calculating Pie Chart Values We can use the information shown in the pie chart to calculate the values of all the sectors and to calculate how many cars drove past Aneesha’s house in total. The first thing we can do is to find Colour of Car Seen out the percentage represented by the black car sector . Using your fractions knowledge, 17% what percentage do you think this sector represents? 33% Now, check your prediction. Start 24 cars by finding the percentage total of the other sectors: 8% 17% + 33% + 8% + 17% = 75% The percentage 17% represented by The complete pie chart equals 100%. the black car sector is 25%. 100% - 75% = 25% Red Blue Silver Black Green
Calculating Pie Chart Values We can use the information shown in the pie chart to calculate the values of all the sectors and to calculate how many cars drove past Aneesha’s house in total. Colour of Car Seen We know now two pieces of information about the 17% black car sector: 33% 24 cars = 25% We can use this information to 24 calculate the total number of (25%) cars in the pie chart, by using multiplication: 8% 17% 25% 4 = 100% 24 cars 4 = 96 cars altogether Red Blue Silver Black Green
Calculating Pie Chart Values We can use the information shown in the pie chart to calculate the values of all the sectors and to calculate how many cars drove past Aneesha’s house in total. Now that we know that 100% of the pie Colour of Car Seen chart represents 96 cars, we can calculate 10% and 1% of the pie chart’s value: 100% = 96 cars 17% 10% = 9.6 cars 33% 1% = 0.96 cars 33% (32 cars) We can use this information to calculate 24 the values of the other sectors: (25%) Red cars = 33% (1% 33) 8% Red cars = 0.96 33 = 31.68 17% Aneesha could only have counted whole cars, so we need to round our answer. Red cars = 31.68 = 32 cars Red Blue Silver Black Green
Calculating Pie Chart Values We can use the information shown in the pie chart to calculate the values of all the sectors and to calculate how many cars drove past Aneesha’s house in total. Colour of Car Seen 100% = 96 cars 10% = 9.6 cars 17% 1% = 0.96 cars 33% (32 cars) Blue cars = 8% (1% 8) Blue cars = 0.96 8 = 7.68 24 Aneesha could only have counted (25%) whole cars, so we need to 8% round our answer. 17% Blue cars = 7.68 = 8 cars (8 cars) Red Blue Silver Black Green
Calculating Pie Chart Values We can use the information shown in the pie chart to calculate the values of all the sectors and to calculate how many cars drove past Aneesha’s house in total. Colour of Car Seen 100% = 96 cars 17% 10% = 9.6 cars 17% (16 cars) 1% = 0.96 cars 33% Silver/green cars = 17% (1% 17) (32 cars) Silver/green cars = 0.96 17 = 16.32 24 Aneesha could only have counted (25%) whole cars, so we need to round our answer. 8% 17% 17% Silver cars = 16.32 = 16 cars (16 cars) Green cars = 16.32 = 16 cars (8 cars) Red Blue Silver Black Green
Calculating Pie Chart Values We can use the information shown in the pie chart to calculate the values of all the sectors and to calculate how many cars drove past Aneesha’s house in total. Now we have found how many of each Colour of Car Seen car colour Aneesha saw, we can check that all the values add up to the total 17% of the pie chart which is 96. 17% (16 cars) 32 + 24 + 16 + 16 + 8 = 96. 33% (32 cars) Therefore, all of our working out is correct. 24 (25%) 8% 17% 17% (16 cars) (8 cars) Red Blue Silver Black Green
Calculating Pie Chart Values Colour of Car Seen Well done! You have successfully calculated 17% how many of each (16 cars) colour car drove past my 33% house and how many (32 cars) cars this was altogether. 24 (25%) 8% 17% (16 cars) (8 cars) Red Blue Silver Black Green
Pie Chart Question Work with a partner to answer the following question: Colour of Car Seen I counted the number Answ swers of different coloured cars that drove past 200 cars passed by my grandma’s house. altogether. 40 cars 27% 40 red cars How many cars drove 26 blue cars 13% past my grandma’s 14 silver cars 66 black cars house altogether? 7% 54 green cars 33% How many of each coloured car did I count? Red Blue Silver Black Green
Finding Favourites 150 children were asked to choose their favourite colour of car. 90 of the children were girls and 60 of the children were boys. Is Hazel right? Discuss your reasoning with your partner. Girls’ Favourite Colour Cars Boys’ Favourite Colour Cars 45 40 More boys than girls Hazel is not right. Although the proportion of boys who like red best is larger chose red as their than the proportion of girls who like red, more girls were asked than boys. So favourite car colour. half or 50% of 90 girls chose red as their favourite, while two thirds or 67% of 60 boys chose red. 45 girls chose red, while 40 boys chose red.
Travelling to School Pie Charts
Car Travel Class 5 and Class 6 were asked approximately how often they travel in a car. These pie charts show their answers. Did more children in Class 5 or Class 6 say that they travelled in a car every day? Explain how you know. How Often Class 5 Travel in a Car How Often Class 6 Travel in a Car Once a Once a month month 5 Once a week Every day Every day Once a week Three times a week Three times 9 a week 10
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