Form 1 MathematicsChapter 12

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

A subject that deals with handling data

4 Key stages of statistics: Collection of Data Organization of Data Presentation of Data Analysis of Data

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

Pages 214 – 215 of Textbook 1B Questions 1 – 4

Page 95 of Workbook 1B Questions 1 – 2

Number of times visited Disneyland:1 1 2 0 2 0 0 0 0

10 1 0 0 0 0 0 2 0

1

Tallying:

Frequency distribution table

Number of times visited Disneyland

Tally Frequency

0 //// //// // 12

1 //// 5

2 /// 3

Height of students (in cm): 170 168 173 171 169 174 180 166173 175 170 165 166 178 175 171181 172 173 176 167 172

Tallyingin groups:

Heights (cm) Tally Frequency

165 – 169 //// / 6

170 – 174 //// //// 10

175 – 179 //// 4

180 – 184 // 2

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

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 )

Circle = all data (360, 100%) Sector = a particular item Angle or % can be compared

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

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

0 12

1 5

2 3

Number of times visited Disneyland

Frequency Percentage Angle

0 12 12/20 100% = 60% 12/20 360 = 216

1 5 5/20 100% = 25% 5/20 360 = 90

2 3 3/20 100% = 15% 3/20 360 = 54

Total 20 100% 360

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°

The pie chart shows thefavourite 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 = 1260°360°

The pie chart shows thefavourite 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

= 15x360°= 72 75°

360°= 72

HKDSE 2013 Paper 2

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

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

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

The broken line graphshows the profit of a company in the last 6 seasons.

(a) The company is making less profit in 2008 1st

season than 2007 1st season, find out the difference.

(b) Describe the changes in the company’s profit.

Answers:

(a) The profit in 2007 1st season = 7.2 million dollars

The profit in 2008 1st 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

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

Missing HW Detention today

SHW (I) Today

SHW (II) 17th April (Wednesday)

SHW (III) – to be given 19th April (Friday)

OBQ – to be confirmed 19th April (Friday)

CBQ 24th April (Wednesday)

Enjoy the world of Mathematics!

Ronald HUI