Transcript Pie Charts - School
GCSE Mathematics
Targeting Grade C
Handling Data Unit 4 Pie Charts
Can you: •Draw a pie chart •Answer questions from pie charts Try a test If not you need TOP: Revise angles Practice 1: How to draw a pie chart Practice 2: Answer questions about pie charts TAIL
TOP Are you ready for the answers ?
Answers 1) 360 º 1) 2) 3) 4) 5) 6) How many degrees in a circle?
How many degrees in a triangle?
How many degrees in a right angle?
How do we recognize a right angle?
What makes a triangle isosceles?
How do we know if a triangle is equilateral?
7) 8) How many degrees in a quadrilateral?
What do we know about an interior and exterior angle?
9) What do all exterior angles add up to?
10) Write a fact about scalene triangles.
2) 180 º 3) 90 º 4) Looks like a square 5) Two equal sides, two equal angles 6) All sides and angles equal 7) 360 º 8) Add up to 180 º 9) 360 º 10) All sides and angles are different Lesson
Practice 1: 1)
Activity
Draw the pie charts from the tables below.
Frequency
Remember: Gym Swimming 4 12 Step 1: Total frequency if not given Squash 3 Step 2: 360 º Frequency Total Aerobics 11 2)
Total 30
Step 3: Step 2 Multiply each group by the answer to
Type of Pet
Cat
Frequency
30 Step 4: Draw the pie chart Dog 25 Step 5: Label carefully Rabbit 15 Other
Total
20
90
Lesson
Practice 2: 1) The pie chart shows how Jenny spends her monthly income.
Jenny spends £150 a month on food.
(a) Work out Jenny’s monthly income (b) Work out how much Jenny spends on rent each month.
Clothes & Going Out Savings Other Bills Food 120º Put the angle in the pie chart over 360 (like a fraction), cancel down if possible and then relate it to the money Jenny has.
Rent Next
2) The pie chart gives information about the bills paid by a Water Company.
(a) Work out the size of the angle representing Wages.
The Water Company spent £18 000 on Materials.
(b) Work out the amount it spent on Rates.
TAIL 1) Patrick carried out a survey of 45 pupils in Year 11. He asked how many books they had borrowed from the library in the last month. These are Patrick’s results. (a) Copy and complete the table.
Number of books 0 to 2 3 to 5 6 to 8 more than 8 Tally Frequency 6 (b) Construct a pie chart to show this information.
Are you ready for the answers ?
Next
Answers to Q1
Number of books 0 to 2 3 to 5 6 to 8 more than 8 Tally Angles : 11
8 = 88
º
15
8 = 120
º
13
8 = 104º 6
8 = 48º Frequency 11 15 13 6
2) In a town, 1800 cars were stolen in a year. The table show information about the times of day in which they were stolen.
Time Number of cars Midnight to 6 am 6 am to midday Midday to 6 pm 6 pm to midnight 700 80 280 470 Time unknown 270
This information can be shown on a pie chart.
(a) Copy out the table below and work out the angles for each sector.
Time Angle of sector Midnight to 6 am 6 am to midday Midday to 6 pm 6 pm to midnight Time unknown Total of angles 360º
(b) Construct the pie chart.
Are you ready for the answers ?
(c) What fraction of cars were stolen between midday and 6pm. Write your answer in its simplest terms.
Next
Answers to Q2.
Angles: 700
0.2 = 140
º
80
0.2 = 16
º
280
0.2 = 56
º
470
0.2 = 94
º
270