Ieb Gr11portfolio Task May 07

Grade 11 Portfolio Exemplar May 2007 MATHEMATICAL LITERACY – LEARNER MATERIAL INVESTIGATION/RESEARCH PORTFOLIO TASK FOCUS: LO 4 (DATA HANDLING)

40 marks ________________________________________________________________________________ Introduction This project will introduce you to the field of statistics, which is the branch of mathematics that is concerned with the collection, interpretation and analysis of data. Handling the data involves the following: 1. Collection of data 2. Sorting data 3. Representing data in tables, charts or graphs. 4. Analysis of the results 5. Conclusions. Arithmetic methods of handling data involve working out: 1. Measures of central tendency such as mean, median and mode. 2. Measures of dispersion such as range Different methods of summarising and displaying data in statistical charts and graphs inclusive of the following: 1. Tallies 2. Tables 3. Pie charts 4. Single and compound graphs 5. Line and broken-line graphs

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GRADE 11 EXEMPLAR PORTFOLIO TASK 2007: MATHEMATICAL LITERACY – LEARNER MATERIAL

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Questionnaire Who am I? 1.

Are you a

Where do I come from? 6.

Male

M

Female

F

When were you born? 19 Y Y M M D D 3.

Current grade in school? 8 9 10 11 12

4. How tall are you? _________ Centimetres (Answer to the nearest centimetre) 5.

What sport will you participate in at school this year? Netball Volleyball Soccer Swimming Tennis Rugby Water polo Athletics Tennis Cricket

7.

How do you travel to school?

Where were you born? Eastern Cape Western Cape Gauteng Kwa Zulu Natal Mpumalanga Northern Cape Northern Province North West Free State Other: specify _______________

2. How old are you?

10.

Car Taxi Bus Train Bicycle Walk Other: specify 11.

Less than 5km Between 5km and 10km Over 10 km

What do you live in?

House Flat Town/cluster house Informal settlement Other: Specify

How far do you live from school?

12.

What subjects do you take at school? Complete the table below First Language:

8.

9.

How many people live in your household? (Include yourself in the total)

How many people that live in your household are still attending school? (Include yourself in the total)

Second Language:

Life Orientation Mathematics Mathematical Literacy Subject 1: Subject 2: Subject 3:

Don’t participate Other: specify

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Extra Subjects: Tell me about school?

GRADE 11 EXEMPLAR PORTFOLIO TASK 2007: MATHEMATICAL LITERACY – LEARNER MATERIAL

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Instructions “How much do learners in the population surrounding me differ from each other?” 1.

Using the questionnaire provided to complete this project.

2.

Decide on a representative sample that will complete your questionnaires. Your small group must be represented by all different kinds of people in the larger group. For it to be truly representative of the whole community it needs to be a random sample. It means you must not only perform the questionnaire with your classmates but you need to go to a public place and ask every third or fourth scholar to complete the questionnaire.

3.

Decide on how the data will be collected.

4.

How will the data be analysed and displayed by you?

5.

Compare your results with the results that can be found on www.statssa.gov.za or other reputable Statistical website.

6.

Using the assessment tool provided by your teacher to assess how you will be assessed on completion of your project.

7.

Write a report.

Writing the report The following must be included in your report: 1.

A title

2.

Name of author and the date

3.

A Statement of the purpose of the survey.

4.

A description of the population sampled and the nature of the sample, a sample size must be included.

5.

The questionnaires used, as well as a sample of completed questionnaires.

6.

A complete description of the results including appropriate Statistical methods

7.

A brief summary of what you observed.

8.

A bibliography listing the resources used to complete the project.

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