Via Afrika Mathematical Literacy

A. Gilfillan ? N. Vermeulen

Study Guide

Via Afrika

Mathematical Literacy

Grade 10

Contents

Introduction to Mathematical Literacy.................................................................. iii

Topic 1 Basic Skills............................................................................................ 2

overview............................................................................................................ 3

Chapter 1 Numbers and calculations with numbers.............................................. 4

Practice Exercises...............................................................................................19

Chapter 2 Patterns, relationships and representations........................................25

Practice Exercises.............................................................................................. 36

Topic 2 Application of Mathematical Skills........................................................ 43

overview.......................................................................................................... 44

Chapter3 Finance.............................................................................................45

Practice Exercises.............................................................................................. 65

Chapter4 Measurement....................................................................................75

Practice Exercises.............................................................................................. 94

Chapter 5 Maps, plans and other representations of the physical world ............ 103

Practice Exercises............................................................................................. 114

Chapter 6 Data Handling................................................................................122

Practice Exercises.............................................................................................140

Chapter 7 Probability..................................................................................... 145

Practice Exercises............................................................................................. 153

Exam Papers..................................................................................................... 155

How question papers are drawn up.................................................................... 155

Question Paper 1..............................................................................................162

Question Paper 2..............................................................................................168

Question Paper 1 Memorandum......................................................................... 172

Question Paper 2 Memorandum.........................................................................180

Glossary...........................................................................................................186

? Via Afrika Publishers ? Mathematical Literacy Grade 10

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Introduction to Mathematical Literacy

What is Mathematical Literacy all about?

According to the Curriculum and Assessment Policy Statement (CAPS) for Mathematical

Literacy:

The competencies developed through Mathematical Literacy allow

individuals to make sense of, participate in and contribute to the twentyfirst-century world ¡ª a world characterised by numbers, numerically

based arguments and data represented and misrepresented in a number of

different ways.

Such competencies include the ability to reason, make decisions, solve

problems, manage resources, interpret information, schedule events and use

and apply technology.

Learners must be exposed to both mathematical content and real-life

contexts to develop these competencies.

Mathematical content is needed to make sense of real-life contexts; on the

other hand, contexts determine the content that is needed.

It is clear that, in Mathematical Literacy, both mathematical content and real-life

contexts are crucial. Mathematical content provides us with a means for accessing

and making sense of real-life contexts, while real-life contexts provide meaning for the

content and a reason for learning the content.

Equally important to content and context, however, is that learners must develop

problem-solving skills. This involves the ability to apply mathematical content in order

to solve problems based on often complex and unfamiliar real-life contexts. The focus in

Mathematical Literacy is on the use of content rather than on the knowing of content.

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? Via Afrika Publishers ? Mathematical Literacy Grade 10

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How this guide will help you

This Via Afrika Study Guide will help you prepare for your Grade 10 end-of-year

examination. The authors carefully thought of what a learner requires to effectively

prepare for and successfully write the examination. They identified these needs:

¡ñ¡ñ an understanding of the basic mathematical content that will be assessed in the

end-of-year examination

¡ñ¡ñ an understanding of the nature and purpose of Mathematical Literacy, and how it

will be assessed

¡ñ¡ñ an example of Paper 1 and Paper 2 with complete solutions, accompanied by

comments to help you understand how to answer each question.

To meet these needs, this Study Guide has been divided into the following topics:

Topics 1 and 2 ¨C Basic and Application Mathematical Skills

These contain summaries of the mathematical content and skills that you should learn.

The topics have been divided into chapters, each dealing with a different concept. It

follows this pattern:

¡ñ¡ñ revision of the concepts outlined in the curriculum for Grade 10

¡ñ¡ñ examples based on the concepts covered

¡ñ¡ñ practice exercises that give you opportunities to practise what you have learnt.

Work through the topics thoroughly to enable you to apply the necessary concepts and

skills when you work through the exam papers.

Exam question papers

This section contains information about:

¡ñ¡ñ how exam question papers are drawn up

¡ñ¡ñ how Paper 1 is different to Paper 2

¡ñ¡ñ the four levels on which you will be assessed

¡ñ¡ñ how to approach answering questions in any exam (or test) paper.

In addition, this section contains:

¡ñ¡ñ examples of Paper 1 and Paper 2

¡ñ¡ñ memoranda (solutions) to the two papers

¡ñ¡ñ comments in the memoranda to help you understand and answer each question.

These comments refer to the level of the question, the purpose of the question, and

the content or skills required to answer the question.

? Via Afrika Publishers ? Mathematical Literacy Grade 10

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Topic

Unit XX

1

Basic skills

CHAPTER 1

Page 4

Numbers and

calculations with

numbers

TOPIC 1

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Number formats and conventions

Operations on numbers and calculator skills

Rounding

Ratio

Proportion

Rate

Percentage

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Making sense of graphs that tell a story

Relationships and variables

Linear relationships

Non-linear relationships

Constant (fixed) relationships

More about equations

Page 2

Basic skills

CHAPTER 2

Page 25

Pattern, relationships

and representations

?Via Afrika Publishers ? Mathematical Literacy Grade 10

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