Via Afrika Mathematical Literacy

Via Afrika Mathematical Literacy

Grade 12 Study Guide

C. Veremeulen, M. North, M.Bali,L.R. de Waal, A.C. Gilfillan, S.G. Ngobeni, M.M. Tshabalala, P.J. Templeton

Maths Literacy

Study Guide

Via Afrika Mathematical Literacy

Grade 12

(To be used in conjunction with the Via Afrika Grade 12 Mathematical Literacy Learner's Book and Teacher's Guide)

ISBN: 978-1-41546-332-1

Contents

Part 1

CHAPTER 1 Section 1 Section 2

CHAPTER 2

Section 1 Section 2 Section 3

CHAPTER 3 Section 1 Section 2

Section 3

CHAPTER 4 Section 1 Section 2

CHAPTER 5 Section 1 Section 2 Section 3

CHAPTER 6

Section 1 Section 2

CHAPTER 7 Section 1 Section 2

CHAPTER 8 Section 1 Section 2 Section 3

Content analysis ......................................................................... 2

MEASUREMENT (CONVERSIONS, TIME) ............................................ 2 Conversions ............................................................................... 2 Working with travel timetables and tide tables ........................... 5

FINANCE (TARIFF SYSTEMS AND BREAK-EVEN, INCOME AND EXPENDITURE, COST AND SELLING PRICE) ..................................... 10 Tariff systems and break-even analysis ................................... 10 Income-and-expenditure statements and budgets ................... 15 Running a small business ....................................................... 17

DATA HANDLING .......................................................................... 29 Making sense of national and global statistics ......................... 29 Summarising data using quartile and percentile values and interpreting box-and-whisker diagrams .................................... 30 Develop opposing arguments using the same summarised and/or represented data ........................................................... 38

FINANCE (INTEREST, BANKING, INFLATION) .................................... 47 Interest and banking: loans and investments ........................... 47 Inflation .................................................................................... 54

MAP AND PLANS (SCALE AND MAP WORK) ...................................... 62 Comparing travel options ......................................................... 62 Compass directions .................................................................. 66 Scale ........................................................................................ 67

MEASUREMENT (MEASURING AND CALCULATING LENGTHS, PERIMETER, AREA AND VOLUME) ..................................................................... 73 Measuring ................................................................................ 73 Calculating perimeter, area and volume ................................... 76

MEASUREMENT (MEASURING WEIGHT: BMI, MEDICINE DOSAGES) .... 89 BMI growth charts for children .................................................. 89 Using formulae to determine medicine dosage ........................ 92

FINANCE (INCOME TAX) ................................................................ 98 Understanding taxation ............................................................ 98 Determining income tax ......................................................... 100 IRP5 tax forms ....................................................................... 104

CHAPTER 9 Section 1

Section 2

FINANCE (EXCHANGE RATES) ..................................................... 109 Ways of working with exchange rates and currency conversions ............................................................................ 109 Buying and selling currency ................................................... 111

CHAPTER 10 Section 1 Section 2

MAPS AND PLANS (PLANS AND SCALE) ........................................ 120 Interpreting plans ................................................................... 120 Determining scales ................................................................. 120

CHAPTER 11 Section 1 Section 2 Section 3

PROBABILITY ............................................................................ 126 Probability theory for understanding the Lottery ..................... 126 Prediction ............................................................................... 130 Expressions of probability in the press ................................... 133

CHAPTER 12 MAPS AND PLANS (MODELS) ....................................................... 139 Section 1 Creating a 3-D model ............................................................. 139

Part 2

Exam analysis ........................................................................ 142

REQUIRED STRUCTURE OF EXAMINATIONS .......................................................... 142

Paper 1

................................................................................................ 146

Paper 1 Marking guidelines ........................................................................... 156

Paper 2

................................................................................................ 166

Paper 2 Marking guidelines ........................................................................... 176

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