1. Form 1 Mathematics Chapter 12

2.  Lesson requirement  Textbook 1B  Workbook 1B  Notebook  Before lessons start  Desks in good order!  No rubbish around!  No toilets!  Keep your folder at home  Prepare for Final Exam

3.  A subject that deals with handling data  4 Key stages of statistics:  Collection of Data  Organization of Data  Presentation of Data  Analysis of Data

4.  Data collection  Previous Information  Questionnaire  Observation  Experiment  Interview  Data classification  Discrete data ( 離散數據 )  Number of people, Number of items  Continuous data ( 連續數據 )  Height, Length, Volume, Weight

5.  Pages 214 – 215 of Textbook 1B  Questions 1 – 4  Page 95 of Workbook 1B  Questions 1 – 2

6.  Number of times visited Disneyland: 1 1 2 0 2 0 0 0 0 11 1 2 0 2 0 0 0 0 1 0 1 0 0 0 0 0 2 0 10 1 0 0 0 0 0 2 0 1  Tallying:  Frequency distribution table Number of times visited Disneyland TallyFrequency 0 //// //// //12 1 ////5 2 ///3

7.  Height of students (in cm): 170 168 173 171 169 174 180 166 173 175 170 165 166 178 175 171 181 172 173 176 167 172  Tallying in groups: Heights (cm) TallyFrequency 165 – 169 //// /6 170 – 174 //// ////10 175 – 179 ////4 180 – 184 //2

8.  Page 218 of Textbook 1B  Class Practice  Page 219 of Textbook 1B  Questions 1 – 4  Pages 98 – 100 of Workbook 1B  Questions 1 – 5  Missing table for SHW (I) Question 7

9.  Pictogram ( 象形圖 ) – learnt in P6  Bar chart ( 棒形圖 ) – learnt in P6  Pie chart ( 圓形圖 )  Broken-line graph ( 折線圖 )  Stem-and-leaf diagram ( 幹葉圖 )  Scatter diagram ( 散點圖 )

10.  Circle = all data (360 , 100%)  Sector = a particular item  Angle or %  can be compared

11.  Steps:  Calculate the ratio of each item (can be in %)  Calculate the angle for each item  Draw a circle  Divide into sectors by the angles  Name the sector  Put down % or angle  Give a title

12.  Total: 12 + 5 + 3 = 20  Percentage of “0” time = 12/20  100% = 60%  Angle of the sector of “0” time = 12/20  360  = 216   Percentage of “1” time = 5/20  100% = 25%  Angle of the sector of “0” time = 5/20  360  = 90   Percentage of “2” time2 = 3/20  100% = 15%  Angle of the sector of “0” time = 3/20  360  = 54   Then, draw pie chart for “Number of times visited Disneyland” Number of times visited Disneyland Frequency 012 15 23

13. Number of times visited Disneyland FrequencyPercentageAngle 012 12/20  100% = 60%12/20  360  = 216  15 5/20  100% = 25%5/20  360  = 90  23 3/20  100% = 15%3/20  360  = 54  Total20100% 360 

14.  A university is running a survey to find out the idols of 250 students. A pie chart shows different types of their idols.  (a) What percentage of the students choose famous people as their favourite type of idol?  (b) Find the value of x in the diagram.  Answers: (a) The required percentage = (100 – 72 – 6 – 2 – 4)% = 16% (b) x = 360 °  16%= 57.6°

15.  The pie chart shows the favourite ball games of a group of students. It is known 12 love volleyball.  (a)Find x.  (b)Find the total number of students in the group.  (c)Find the number of students whose favourite ball game is basketball.  Answers: (a) x = 360 ° – 110° – 85° – 60° – 30° = 75° (b) Let the total number of students in the group be N, then  N = 72 ∴ Total number of students in the group is 72. N  = 12 60 ° 360°

16.  The pie chart shows the favourite ball games of a group of students. It is known 12 love volleyball.  (a)Find x.  (b)Find the total number of students in the group.  (c)Find the number of students whose favourite ball game is basketball.  Answers: (c) Number of students whose favourite ball game is basketball = 15 x 360° = 72  75 ° 360° = 72 

20. HKDSE 2013 Paper 2

21.  Page 224 of Textbook 1B  Class Practice  Pages 228 – 230 of Textbook 1B  Questions 1 – 3, 6 – 9  Pages 104 – 105 of Workbook 1B  Questions 4 – 5

22.  Link the points by lines on x-y plane  Can see the changes easily

23.  Steps:  Draw x-axis and y-axis on a graph paper  Normally, x-axis is time and y-axis is frequency  Mark “  ” on the graph paper representing the data and the corresponding time  Use line segments to join neighbouring points  Give a title

24.  The broken line graph shows the profit of a company in the last 6 seasons.  (a) The company is making less profit in 2008 1 st season than 2007 1 st season, find out the difference.  (b) Describe the changes in the company’s profit.  Answers: (a) The profit in 2007 1 st season = 7.2 million dollars The profit in 2008 1 st season = 5.4 million dollars ∴ The difference (b) The company’s profit is decreasing since the year 2007, and it becomes stable after the first season of 2008. = (7.2 – 5.4) million dollars = 1.8 million dollars

28.  Page 227 of Textbook 1B  Class Practice  Pages 229, 231 of Textbook 1B  Questions 4 – 5, 10 – 11  Pages 105 – 106 of Workbook 1B  Questions 6 – 7

29.  Missing HW  Detention today  SHW (I)  Today  SHW (II)  17 th April (Wednesday)  SHW (III) – to be given  19 th April (Friday)  OBQ – to be confirmed  19 th April (Friday)  CBQ  24 th April (Wednesday)

30. Enjoy the world of Mathematics! Ronald HUI