Via Afrika Mathematical Literacy

1 Via Afrika Grade 12 Teacher's Guide If I see that a number of learners haven't understood something, I go back to the drawing board and see Mathematical how I can make it more exciting and approachable. Sometimes we as adults think the material is easy Literacy because we understand it so well, and therefore we expect the learner to understand it. Grade 12 Study Guide C. Veremeulen, M. North, , de Waal, Gilfillan, Wardiah Fakir, Teacher Ngobeni, Tshabalala, Templeton Via Afrika understands, values and supports your role as a teacher. You have the most important job in education, and we Via Afrika Mathematical Literacy realise that your responsibilities involve far more than just teaching. We have done our utmost to save you time and make your life easier, and we are very proud to be able to help you teach this subject successfully.

2 Here are just some of the things we have done to assist you in this brand-new course: 1. The series was written to be aligned with CAPS. See page 5 to see how CAPS requirements are met. 2. A possible work schedule has been included. See page 6 to 9 to see how much time this could save you. 3. Each topic starts with an overview of what is taught, and the resources you need. See page 36 to find out how this will help with your planning. 4. There is advice on pace-setting to assist you in completing all the work for the year on time. Page 36 shows you how this is done. 5. Advice on how to introduce concepts and scaffold learning is given for every topic. See page 36 for an example. 6. All the answers have been given to save you time doing the exercises yourself.

3 See page 38 for an example. 7. Also included is a CD filled with resources to assist you in your teaching and assessment. See the inside front cover. 8. A question bank with tests you may photocopy will help you assess your learners effectively. See the Question Bank on the accompanying CD. The accompanying Learner's Book is written in accessible language and contains all the content your learners need to master. The exciting design and layout will keep their interest and make teaching a pleasure for you. We would love to hear your feedback. Why not tell us how it's going by emailing us at Alternatively, visit our teacher forum at Language: English Maths Literacy Study Guide Via Afrika Mathematical Literacy Grade 12.

4 (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 Content analysis .. 2. CHAPTER 1 MEASUREMENT (CONVERSIONS, TIME) .. 2. Section 1 Conversions .. 2. Section 2 Working with travel timetables and tide tables .. 5. CHAPTER 2 FINANCE (TARIFF SYSTEMS AND BREAK-EVEN, INCOME AND. EXPENDITURE, COST AND SELLING PRICE) .. 10. Section 1 Tariff systems and break-even analysis .. 10. Section 2 Income-and-expenditure statements and budgets .. 15. Section 3 Running a small business .. 17. CHAPTER 3 DATA HANDLING .. 29. Section 1 Making sense of national and global statistics .. 29. Section 2 Summarising data using quartile and percentile values and interpreting box-and-whisker diagrams.

5 30. Section 3 Develop opposing arguments using the same summarised and/or represented data .. 38. CHAPTER 4 FINANCE (INTEREST, BANKING, INFLATION) .. 47. Section 1 Interest and banking: loans and investments .. 47. Section 2 Inflation .. 54. CHAPTER 5 MAP AND PLANS (SCALE AND MAP WORK) .. 62. Section 1 Comparing travel options .. 62. Section 2 Compass directions .. 66. Section 3 Scale .. 67. CHAPTER 6 MEASUREMENT (MEASURING AND CALCULATING LENGTHS, PERIMETER, AREA AND VOLUME) .. 73. Section 1 Measuring .. 73. Section 2 Calculating perimeter, area and volume .. 76. CHAPTER 7 MEASUREMENT (MEASURING WEIGHT: BMI, MEDICINE DOSAGES) .. 89. Section 1 BMI growth charts for children .. 89. Section 2 Using formulae to determine medicine dosage.

6 92. CHAPTER 8 FINANCE (INCOME TAX) .. 98. Section 1 Understanding taxation .. 98. Section 2 Determining income tax .. 100. Section 3 IRP5 tax forms .. 104. CHAPTER 9 FINANCE (EXCHANGE RATES) .. 109. Section 1 Ways of working with exchange rates and currency conversions .. 109. Section 2 Buying and selling currency .. 111. CHAPTER 10 MAPS AND PLANS (PLANS AND SCALE) .. 120. Section 1 Interpreting plans .. 120. Section 2 Determining scales .. 120. CHAPTER 11 PROBABILITY .. 126. Section 1 Probability theory for understanding the Lottery .. 126. Section 2 Prediction .. 130. Section 3 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.

7 142. REQUIRED STRUCTURE OF EXAMINATIONS .. 142. Paper 1 .. 146. Paper 1 Marking guidelines .. 156. Paper 2 .. 166. Paper 2 Marking guidelines .. 176. Introductory note The purpose of this study guide is to provide further explanation and consolidation of the concepts explained in the Via Afrika Grade 12 mathematical literacy Learner's Book. This guide is not a substitute or a replacement for the Learner's Book and should not be used in isolation of the Learner's Book. Rather, this guide aims to provide further explanation of the key concepts dealt with in each chapter in the Learner's Book and more opportunity for practice and consolidation through the inclusion of additional questions. These questions will still draw on the contexts and resources used in the Learner's Book but focus on different areas of application.

8 This guide will also make more explicit the connection between the contents of each chapter in the Learner's Book and the curriculum as outlined in the CAPS. document. In this regard the study guide will help teachers to become more familiar with the contents of the CAPS curriculum document. The study guide is made up of two parts. Part 1 provides additional explanation of the concepts, skills and contexts discussed in the teaching/theory component of the Learner's Book. Additional questions and exercises for consolidation of the selected concepts, skills and contexts discussed are also included. Part 2 provides totally new Paper 1 and Paper 2 practice examinations with analysis. These are in addition to the ones included on pages 308-318 in the Learner's Book.

9 Via Afrika Mathematical Literacy Gr 12 1. Chapter 1. Measurement (conversions, time). Section 1: Conversions (LB pages 18-21). Overview Conversions, is part of the Measurement Topic. The content and specific skills associated with working with this section are drawn from pages 62-63 in the CAPS. document. As stipulated in the CAPS document, Grade 12 learners need specifically to be able to: convert between different systems of measurement, solid to liquid conversions, including: g and/or kg to ml and/or litres cm2 and m2 to litres mm3, cm3 and m3 to ml and litres. express ratios in different formats and use them to determine missing amounts (from the Basic Skills Section). Contexts and integrated content Learners need to be able to work in the context of complex projects in both familiar and unfamiliar contexts ( determining quantities of materials needed to build an RDP house).

10 Calculations involving conversions, especially between different systems, use the concept of rates as found in the Basic Skills Topic on Numbers and calculations with numbers. 1. Calculated volume to liquid volume conversions In everyday life volume is expressed in litres. When volume is calculated it is usually in cubic units (cm3, mm3, m3). Conversions between these two formats will always be given: 1 cm3 = 1 ml, 1 = 1 000 ml , 1 m3 = 1 kl Via Afrika Mathematical Literacy Gr 12 2. Chapter 1. Measurement (conversions, time). Example The container alongside is roughly in the shape of a rectangular 20 cm 20 cm box. Therefore its volume = l b h 5 cm = 20 cm 20 cm 5 cm = 2 000 cm3. Using the conversions 1 cm3 = 1 ml and 1 000 ml = 1 : 1 000 cm3 = 1 litre 2 2.