Maths Maths | Year 6 | Statistics | Interpret and Construct Charts - - PowerPoint PPT Presentation

Maths | Year 6 | Statistics | Interpret and Construct Charts and Graphs | Lesson 5 of 6: Transport Pie Charts

Maths

Success Criteria Aim

• Statement 1 Lorem ipsum dolor sit amet, consectetur adipiscing elit.
• Statement 2
• Sub statement

Success Criteria Aim

• I can interpret pie charts and use them to solve problems.
• I can interpret data presented in a pie chart.
• I can use percentages to answer questions about data presented in a

pie chart.

• I can solve problems using data represented in pie charts.

Megan watched the road outside her house for an hour, and made a note

• f the different types of vehicles she saw. She saw 120 vehicles altogether.

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Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike

She constructed a pie chart to show her results.

Half of the vehicles she saw were cars. Can you express this as a percentage? Answ swers A half is equivalent to 50%. 50% of the vehicles that Megan saw were cars.

What proportion of the vehicles that Megan saw were cars?

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Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike

What proportion of the vehicles that Megan saw were lorries?

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Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike

A quarter of the vehicles she saw were lorries. Can you express this as a percentage? Answ swers One quarter is equivalent to 25%. 25% of the vehicles were lorries.

50% of 120 is 60, so I saw 60 cars. 25% of 120 is 30, so I saw 30 lorries.

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?

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Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike

Megan saw 12 vans and 12 motorbikes. What percentage of 120 is 12?

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Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike

You could do this in two different ways. 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.

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?

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Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike

Therefore, I saw 6 bicycles!

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?

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Vehicl cles Seen n in One Hour Car Bicycle Lorry Van Motorbike

She created a pie chart to show the results. One rainy afternoon, Aneesha carried out a survey to find out how many different coloured cars drove past her house.

Car Colours Pie Chart

Colour of Car Seen Red Blue Silver Black Green

Looking at the proportional sizes of the sectors in this pie chart, answer the following questions:

Car Colours Pie Chart

Colour of Car Seen Red Blue Silver Black Green

Which car colour drove past my house the most? Red!

Looking at the proportional sizes of the sectors in this pie chart, answer the following questions:

Car Colours Pie Chart

Colour of Car Seen Red Blue Silver Black Green

Did more blue cars

• r green cars drive

past my house? Green!

Looking at the proportional sizes of the sectors in this pie chart, answer the following questions:

Car Colours Pie Chart

Colour of Car Seen Red Blue Silver Black Green

Did fewer black cars

• r silver cars drive

past my house? Silver!

Aneesha adds data labels to each sector of the pie chart to give more information about their value.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

17% 33% 8% 17% 24 cars

This is the only sector where the value is

• labelled. We are told

that 24 black cars drove past Aneesha’s house. In all the other sectors, the percentage of each sector is

• labelled. Remember that

the complete pie chart equals 100%.

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.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

17% 33% 8% 17% 24 cars

The percentage represented by the black car sector is 25%.

The first thing we can do is to find

• ut the percentage represented

by the black car sector. Using your fractions knowledge, what percentage do you think this sector represents? Now, check your prediction. Start by finding the percentage total

• f the other sectors:

17% + 33% + 8% + 17% = 75% The complete pie chart equals 100%. 100% - 75% = 25%

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.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

17% 33% 8% 17% 24 (25%)

We know now two pieces of information about the black car sector: 24 cars = 25% We can use this information to calculate the total number of cars in the pie chart, by using multiplication: 25% 4 = 100% 24 cars 4 = 96 cars altogether

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.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

17% 33% 8% 17% 24 (25%) 33% (32 cars)

Now that we know that 100% of the pie chart represents 96 cars, we can calculate 10% and 1% of the pie chart’s value: 100% = 96 cars 10% = 9.6 cars 1% = 0.96 cars We can use this information to calculate the values of the other sectors: Red cars = 33% (1% 33) Red cars = 0.96 33 = 31.68 Aneesha could only have counted whole cars, so we need to round our answer. Red cars = 31.68 = 32 cars

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.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

17% 33% (32 cars) 8% 17% 24 (25%)

100% = 96 cars 10% = 9.6 cars 1% = 0.96 cars Blue cars = 8% (1% 8) Blue cars = 0.96 8 = 7.68 Aneesha could only have counted whole cars, so we need to round our answer. Blue cars = 7.68 = 8 cars

(8 cars)

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.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

17% 33% (32 cars) 17% 24 (25%)

(8 cars)

8% 17% (16 cars) 17% (16 cars)

100% = 96 cars 10% = 9.6 cars 1% = 0.96 cars

Silver/green cars = 17% (1%

17)

Silver/green cars = 0.96

17 = 16.32 Aneesha could only have counted whole cars, so we need to round our answer. Silver cars = 16.32 = 16 cars Green cars = 16.32 = 16 cars

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.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

17% 33% (32 cars) 17% 24 (25%)

(8 cars)

8% 17% (16 cars) 17% (16 cars)

Now we have found how many of each car colour Aneesha saw, we can check that all the values add up to the total

• f the pie chart which is 96.

32 + 24 + 16 + 16 + 8 = 96. Therefore, all of our working out is correct.

Calculating Pie Chart Values

Colour of Car Seen Red Blue Silver Black Green

8% 17% (16 cars) 33% (32 cars) 24 (25%)

(8 cars)

17% (16 cars)

Well done! You have successfully calculated how many of each colour car drove past my house and how many cars this was altogether.

Pie Chart Question

Work with a partner to answer the following question:

Colour of Car Seen Red Blue Silver Black Green

27% 40 cars 7% 33% 13%

I counted the number

• f different coloured

cars that drove past my grandma’s house. How many cars drove past my grandma’s house altogether? How many of each coloured car did I count?

200 cars passed by altogether. 40 red cars 26 blue cars 14 silver cars 66 black cars 54 green cars Answ swers

Girls’ Favourite Colour Cars Boys’ Favourite Colour Cars

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.

Finding Favourites

45 40

Hazel is not right. Although the proportion of boys who like red best is larger than the proportion of girls who like red, more girls were asked than boys. So half or 50% of 90 girls chose red as their favourite, while two thirds or 67%

• f 60 boys chose red. 45 girls chose red, while 40 boys chose red.

More boys than girls chose red as their favourite car colour.

Travelling to School Pie Charts

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.

Car Travel

How Often Class 6 Travel in a Car How Often Class 5 Travel in a Car

Every day Three times a week Once a week Every day Once a month Once a month Once a week Three times a week

9 5 10

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.

Car Travel

How Often Class 6 Travel in a Car How Often Class 5 Travel in a Car

Every day Three times a week Once a week Every day Once a month Once a month Once a week Three times a week

9 5 10 18 We can see that 9 children said they travelled in a car three times a week, and that this is one quarter of the pie chart. ‘Every day’ is represented by half of the pie chart, or two quarters. This means that 18 childen said they travelled in a car every day.

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.

Car Travel

How Often Class 6 Travel in a Car How Often Class 5 Travel in a Car

Every day Three times a week Once a week Every day Once a month Once a month Once a week Three times a week

9 5 10 18 In Class 6, 10 children said they travelled in a car three times a week, and this is one quarter. Therefore, half of the total children in Class 6 is 20.

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.

Car Travel

How Often Class 6 Travel in a Car How Often Class 5 Travel in a Car

Every day Three times a week Once a week Every day Once a month Once a month Once a week Three times a week

9 5 10 18 Together, the sectors for ‘once a month’ and ‘every day’ make up one half of the Class 6 pie chart, or 20 children. 15

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.

Car Travel

How Often Class 6 Travel in a Car How Often Class 5 Travel in a Car

Every day Three times a week Once a week Every day Once a month Once a month Once a week Three times a week

9 5 10 18 In Class 5, 18 children travelled in a car every day compared to 15 children in Class 6. We have proved that more children in class 5 travelled in a car every day. 15

Success Criteria Aim

• Statement 1 Lorem ipsum dolor sit amet, consectetur adipiscing elit.
• Statement 2
• Sub statement

Success Criteria Aim

• I can interpret pie charts and use them to solve problems.
• I can interpret data presented in a pie chart.
• I can use percentages to answer questions about data presented in a

pie chart.

• I can solve problems using data represented in pie charts.