Lesson Plan

JESÚS LOZANO LLORENS LESSON PLAN Level: 2n ESO Aims: To present information drawing pictures as bar charts, pie charts and trend graphs. To interpret these kind of pictures. Teaching objectives: Content  Bar charts  Pie charts  Trend graphs Communication  Making comparisons  Talking about quantities How many …?, What fraction …?, What percentage …? (Language of learning) Cognition  Remembering which sort of picture is more suitable depending on the information.  Applying pictures to make the information easier to understand.  Analysing graphs. Culture  As we watch television or read the newspapers we are given information and statistics, in the form of a picture (births, road-accidents, deaths, exports, etc…) Outcomes: At the end of the lesson, students will be able to  choose the more suitable picture according to the information.  recognise the importance to use these pictures.  construct bar charts, pie charts and trend graphs accurately.  compare information from charts and graphs. Tasks planned and timing: 1. Power-point to introduce the subject: what it is about and the topics that will be explained (10 m). 2. The teacher will give out three different tables with some information and three incomplete charts (only axis and circle). The students will have to match the tables and the pictures.(5 m) 3. The teacher will put the students into three groups. Each group will draw one type of picture. (15 m) 4. When they have finished, the teacher will show the solution with a power-point step by step. (10 m) 5. Finally students will be provided with some questions related to the pictures (worksheet A) and the answers (worksheet B). Working in pairs, they will have to be able to interpret them through the questions.(20 m) 6. Homework: a handout to present information by means of a picture and a handout with several questions. Resources  For the power-point: a computer, a screen and a projector.  For the exercises:  Match exercise: three photocopies with the tables and the pictures.  Question exercise: two photocopies to each student.  For the homework: two photocopies to each student. Assessment  Each exercise will be suitably marked.  In the classroom, students will be asked to assess each other. Jesús Lozano Llorens

INFORMATION AND COMMUNICATION TECHNOLOGY OF MAIN DWELLINGS 2006 (BALEARIC ISLANDS) TECHNOLOGY PRODUCTS 1%

11%

15%

TELEVISION

TELEVISION

342757

COMPUTER

COMPUTER

178965

LAPTOP COMPUTER 10%

POCKET PC

8% 3% 1%

11%

POCKET PC

MOBILE PHONE

FIXED TELEPHONE

287930

14%

MOBILE PHONE

308274

HI-FI, LASERDISC

237240

DVD

RADIO

293447

VIDEO

231033

DVD

247930

FAX

21724

FAX

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The branch of Mathematics that deals with collecting and presenting facts and figures is called Statistics. Very often the information is presented in the form of a picture which makes it easier to understand. In this class, we will learn: To choose the more suitable picture (bar charts, trend graphs or pie charts ) according to the information. To draw them. To interpret them.

Jesús Lozano Llorens

BAR CHARTS • Bar charts consist of an axis and a series of labelled horizontal or vertical rectangular bars of lengths that show different values for each bar. • Bar charts are particularly suitable for making comparisons.

Example:The bar chart below shows the weight in kilograms of some fruit sold one day by a local market.

PIE CHARTS • A pie chart is a circle graph divided into sectors (pieces) illustrating frequencies or percents. • The central angle of each sector is proportional to the quantity it represents.

Example:

FRACTION ·360º = CENTRAL ANGLE

• It is used to show how a part of something relates to the whole.

Jesús Lozano Llorens

TREND GRAPHS • It is used when the direction or trend of figures over a period of time is required. • In the trend graph the time is plotted on the horitzontal axis while the quantity is plotted on the vertical axis.

Example:The graph above shows how John's weight varied from the beginning of 1991 to the beginning of 1995

Jesús Lozano Llorens

Jesús Lozano Llorens

Table A: Marks scored by a class of 30 pupils in a test. Marks 0 1 2 3 4 5 6 7 8 9 10 Nº pupils 1 0 3 2 5 6 8 2 2 0 1 Table B: Average temperature at midday in Madrid for each of the twelve months of the year. Month Temp.in ºC

Jan.

June

July

Aug.

Sept.

Oct.

Nov.

Dec.

2º 3º 8º 12º 18º 23º Table C: Favourite sport of 120 first-year girls.

28º

30º

22º

16º

8º

3º

Favourite sport Nº girls

Feb.

Mar.

Basketball 15

PIE CHART: Table ___

Apr.

May

Tennis 30

Athletics 40

Hockey 15

Netball 20

BAR CHART: Table ___

TREND GRAPH: Table ___

Jesús Lozano Llorens

TABLE A:

Marks

1

2

3

4

5

6

7

8

9

10

Nº pupils

1

3

2

5

6

8

2

2

0

1

Number of pupils

TABLE A 9 8 7 6 5 4 3 2 1 0 1

2

3

4

5

6

7

8

9

10

Marks

The ‘bars’ (marks) are of equal width and the height depends on the quantity (nº of pupils) it represents.

TABLE B Month

Jan.

Feb.

Mar.

Apr.

May

June

July

Aug.

Sept.

Oct.

Nov.

Dec.

Temp in ºC

2º

3º

8º

12º

18º

23º

28º

30º

22º

16º

8º

3º

35

Temperatures

30 25 20 15 10 5 0 Jan.

Feb.

Mar.

Apr.

May

June

July

Aug.

Sept.

Oct.

Nov.

Dec.

Months

Jesús Lozano Llorens

TABLE C Sport Nº girls

Basketball Tennis Athletics 15

30

Hockey

Netball

15

20

40

GIRLS-SPORT

Netball

Basketball

Hockey Tennis Athletics

Percentage PART ·100 TOTAL

Angle PART · 360º TOTAL

Jesús Lozano Llorens

WORKSHEET A TABLE A 1. 2. 3. 4.

How many pupils scored 7 marks or more? Which mark was scored most frequently? What percentage of the pupils got less than 4 marks? Which mark was scored by exactly 3 students?

TABLE B 1. 2. 3. 4. 5.

For how many months is the average midday temperature above 20ºC? Which month shows an increase of 6ºC from the previous month? What is the difference in temperature between the hottest and the coldest months? Which months show a 50% increase in temperature over the previous month? For how many of these months was the temperature falling?

TABLE C 1. What is the angle in the sector representing hockey? 2. What percentage of the students preferred tennis? 3. Which sport was chosen by

1 6

of the girls?

WORKSHEET B TABLE A 1. 5 pupils 2. 6 6 ⋅ 100 = 20% 3. 30 4. 2 TABLE B 1. 2. 3. 4. 5.

4 months May 28º February and April. 5 months

TABLE C 1. 45º 2. 25 % 3. Netball.

Jesús Lozano Llorens

STATISTICS: PRESENTING INFORMATION THROUGH PICTURES. 1. Look at these pictures:

1.

2. 3.

4. a) Re-order the letters of each word: ORCSET / ABSR / EPI / XIAS

b) Write each word in its corresponding box.

Jesús Lozano Llorens

2. Match the expressions and the definitions. 1. PIE CHART 2. ANGLE 3. TREND GRAPH 4. AXIS 5. WIDTH 6. PERCENTAGE 7. CHART 8. SECTOR 9. BAR CHART 10. HEIGHT

a) Two perpendicular directed lines used to define the coordinates of a point. b) Way of expressing a number as a fraction of 100. c) Picture used when the direction of figures over a period of time is required. d) Measurement of vertical distance. e) It is a type of information graphic that represents tabular numeric data. f) Circular chart divided into sectors, illustrating relative frequencies or percents. g) Chart with rectangular bars of lengths proportional to that value they represent. h) Portion of a circle enclosed by two radii and an arc. i) Distance from side to side j) Figure formed by two rays sharing a common endpoint, called vertex.

3. The table below gives the type of pet kept by members of a youth club. No member kept more than one type of pet. Type of pet Number of pets

Dog 9

Hamster 5

Fish 7

Rabbit 3

Cat 7

Bird 3

Pony 1

a) Draw a bar chart to illustrate this data.

b) Answer the following questions: o Which was the most popular pet? o How many members kept a pet? o What percentage of the pets were dogs? o Which was the third most popular pet? o What fraction of the pets were rabbits? Jesús Lozano Llorens