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Grade 12 Mathematical Literacy

Annual Teaching Plan (Terms 1-4)

Grade 12 Mathematical Literacy CAPS focuses on real-life maths in finance, data handling, probability, measurement, and maps/plans. The Grade 12 Mathematical Literacy syllabus below follows the South African CAPS annual teaching plan and supports exam readiness using past papers and term-based revision.

How to study using this page: Revise term topics attempt past papers mark with memos.

Term 1 topics

Weeks 1-11

Assessment: Investigation and controlled test.

Finance: Financial documents

Tax documents (tax rate tables, IRP5, employee income tax) and loan documents (bank statements, loan institutions showing changes on loan agreements).

Finance: Taxation

Personal income tax, taxable and non-taxable income, rebates, UIF (maximum amount), and VAT (15%).

Finance: Tariff systems

Compare two or more tariffs: electricity, telephone, municipal, bank, and transport tariffs using tables, graphs, and formulae.

Finance: Income, expenditure, profit and loss

Large organisations and fundraising projects; compare income/expenditure/profit values over two years; budgets showing projected vs actual, expenditure and profit/loss values.

Finance: Cost price and selling price

Cost of producing/manufacturing, appropriate selling price, percentage profit, and break-even analysis (determine break-even values from formulae and graphs).

Data handling: Developing questions and collecting data

Develop questions on national and global issues; collect data using instruments (interview questions, questionnaires, recording sheets).

Data handling: Classifying, organising and summarising data

Sort numerical and categorical data using categories and class intervals, tallies and frequency tables. Quartiles, inter-quartile range, measures of central tendency and spread, and percentiles.

Data handling: Representing and analysing data

Pie charts, histograms, bar graphs, line and broken-line graphs, scatter plots, and box-and-whisker plots.

Probability

Probability of simple events (dice, coin games, national lotteries, gambling, insurance risk assessment), relative frequency and theoretical probability, compound events, tree diagrams, and two-way tables.

Finance: Interest and banking

Hire purchase, residual, balloon, loans, interest rate, interest, and repayment.

Finance: Banking

Investments and insurance plans (interest, interest rate, charges, monthly payment).

Finance: Inflation

Buying power over time, prices of items over time (interpret and analyse graphs), exchange rates, and currency relationships and buying power.

Finance: Financial documents

Tax documents (tax rate tables, IRP5, employee income tax) and loan documents (bank statements, loan institutions showing changes on loan agreements).

Finance: Taxation

Personal income tax, taxable and non-taxable income, rebates, UIF (maximum amount), and VAT (15%).

Finance: Tariff systems

Compare two or more tariffs: electricity, telephone, municipal, bank, and transport tariffs using tables, graphs, and formulae.

Finance: Income, expenditure, profit and loss

Large organisations and fundraising projects; compare income/expenditure/profit values over two years; budgets showing projected vs actual, expenditure and profit/loss values.

Finance: Cost price and selling price

Cost of producing/manufacturing, appropriate selling price, percentage profit, and break-even analysis (determine break-even values from formulae and graphs).

Data handling: Developing questions and collecting data

Develop questions on national and global issues; collect data using instruments (interview questions, questionnaires, recording sheets).

Data handling: Classifying, organising and summarising data

Sort numerical and categorical data using categories and class intervals, tallies and frequency tables. Quartiles, inter-quartile range, measures of central tendency and spread, and percentiles.

Data handling: Representing and analysing data

Pie charts, histograms, bar graphs, line and broken-line graphs, scatter plots, and box-and-whisker plots.

Probability

Probability of simple events (dice, coin games, national lotteries, gambling, insurance risk assessment), relative frequency and theoretical probability, compound events, tree diagrams, and two-way tables.

Finance: Interest and banking

Hire purchase, residual, balloon, loans, interest rate, interest, and repayment.

Finance: Banking

Investments and insurance plans (interest, interest rate, charges, monthly payment).

Finance: Inflation

Buying power over time, prices of items over time (interpret and analyse graphs), exchange rates, and currency relationships and buying power.

Term 2 topics

Weeks 1-11

Assessment: Assignment and mid-year examinations.

Measurement: Conversions

Conversion factors and tables; metric to imperial and vice versa; deg C to deg F and vice versa.

Measurement: Time

Timetables and transport (bus, train, taxi), production (e.g., building a house), and tide.

Measurement: Perimeter and area

Length, distance and time; perimeter and area. Note: cost calculations may apply.

Measurement: Volume and surface area

Surface area, volume, rate (speed, costing), and mass (weight). Note: cost calculations may apply.

BMI

BMI formula (BMI = kg/m^2) and interpreting charts.

Scale

Scale (ratio, bar); determine actual lengths/distances from a given scale; determine a scale for drawings/models; determine a scale to draw a diagram or construct a model.

Maps

Grid reference, compass directions, and slope on a map.

Revision

Finance, data handling, measurements, scale and maps.

Mid-year examinations (two papers)

Paper 1: 100 marks, 2 hours. Q1: 20% (level 1); Q2: Finance; Q3: Data handling; Q4-5: Integration of finance, data handling and probability. Paper 2: 100 marks, 2 hours. Q1: 20% (level 1); Q2: Maps and plans; Q3: Measurements; Q4-5: Integration of maps and plans, measurements and probability.

Measurement: Conversions

Conversion factors and tables; metric to imperial and vice versa; deg C to deg F and vice versa.

Measurement: Time

Timetables and transport (bus, train, taxi), production (e.g., building a house), and tide.

Measurement: Perimeter and area

Length, distance and time; perimeter and area. Note: cost calculations may apply.

Measurement: Volume and surface area

Surface area, volume, rate (speed, costing), and mass (weight). Note: cost calculations may apply.

BMI

BMI formula (BMI = kg/m^2) and interpreting charts.

Scale

Scale (ratio, bar); determine actual lengths/distances from a given scale; determine a scale for drawings/models; determine a scale to draw a diagram or construct a model.

Maps

Grid reference, compass directions, and slope on a map.

Revision

Finance, data handling, measurements, scale and maps.

Mid-year examinations (two papers)

Paper 1: 100 marks, 2 hours. Q1: 20% (level 1); Q2: Finance; Q3: Data handling; Q4-5: Integration of finance, data handling and probability. Paper 2: 100 marks, 2 hours. Q1: 20% (level 1); Q2: Maps and plans; Q3: Measurements; Q4-5: Integration of maps and plans, measurements and probability.

Term 3 topics

Weeks 1-11

Assessment: Controlled test and preparatory examination.

Maps, plans and other representations of the physical world

Plans: diagrams (assembly instructions in manuals), plans (symbols/notation/terminology), determine actual dimensions using a given scale, determine a suitable scale to draw a plan, draw 2D floor and elevation plans. Models: solving packaging problems, 3D scale models, 2D pictures (item arrangement, estimate material quantities).

Revision

Finance, data handling, probability, measurements, maps and plans, probability.

Preparatory examinations (two papers)

Paper 1: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Finance; Q3: Data handling; Q4-5: Integration of finance, data handling and probability. Paper 2: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Maps and plans; Q3: Measurements; Q4-5: Integration of maps and plans, measurements and probability.

Maps, plans and other representations of the physical world

Plans: diagrams (assembly instructions in manuals), plans (symbols/notation/terminology), determine actual dimensions using a given scale, determine a suitable scale to draw a plan, draw 2D floor and elevation plans. Models: solving packaging problems, 3D scale models, 2D pictures (item arrangement, estimate material quantities).

Revision

Finance, data handling, probability, measurements, maps and plans, probability.

Preparatory examinations (two papers)

Paper 1: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Finance; Q3: Data handling; Q4-5: Integration of finance, data handling and probability. Paper 2: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Maps and plans; Q3: Measurements; Q4-5: Integration of maps and plans, measurements and probability.

Term 4 revision focus

Weeks 1-10

Assessment: Final examination.

Resources: CAPS document, CAPS aligned textbooks, examination guidelines, Mind the Gap, DBE self-study guides, DBE terminology booklet. Informal assessment: revise exemplar papers and previous NSC question papers. No SBA task for Term 4.

Revision

Finance, data handling, measurements, maps and plans, probability.

Final examination (two papers)

Paper 1: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Finance; Q3: Data handling; Q4-5: Integration of finance, data handling and probability. Paper 2: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Maps and plans; Q3: Measurements; Q4-5: Integration of maps and plans, measurements and probability.

Revision

Finance, data handling, measurements, maps and plans, probability.

Final examination (two papers)

Paper 1: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Finance; Q3: Data handling; Q4-5: Integration of finance, data handling and probability. Paper 2: 150 marks, 3 hours. Q1: 20% (level 1); Q2: Maps and plans; Q3: Measurements; Q4-5: Integration of maps and plans, measurements and probability.