South Africa Grade 12 School Syllabus - Mathematics

Overview

Mathematics is a subject chosen by learners in Grades 10-12. Prior to Grade 10, Mathematics is compulsory for all learners.

Syllabus Topics

The Mathematics syllabus covers a range of topics, including:

• Sequences and Series: Arithmetic sequences, geometric sequences, series.
• Functions: Various types of functions, including exponential and logarithmic functions, and their inverses.
• Finance: Calculations involving interest, growth, and decay.
• Trigonometry: Trigonometric functions, equations, and identities.
• Calculus: Differentiation rules, including the sum and difference rules, power rules, and finding derivatives of polynomials and rational functions.
• Analytical Geometry: Coordinate geometry in the plane.
• Euclidean Geometry and Measurement: Geometric theorems and calculations involving measurements.
• Statistics: Statistical analysis and probability distributions.
• Probability: Calculating probabilities and analyzing probability distributions.

Annual Teaching Plans and Resources

The Department of Basic Education provides annual teaching plans (ATPs) for Mathematics, outlining the topics and content to be covered throughout the year. Additional resources, such as study guides and textbooks, are also available to support learners.

South Africa Grade 12 School Syllabus - Mathematical Literacy

Overview

Mathematical Literacy is an alternative subject to Mathematics, focusing on applying mathematical concepts to real-world situations. It was introduced into the South African curriculum in 2006. Learners in Grades 10-12 choose between Mathematics and Mathematical Literacy.

Syllabus Topics

The Mathematical Literacy syllabus covers five main topics:

• Finance: Financial documents, tariff systems, income and expenditure, profit and loss, break-even analysis, interest calculations.
• Measurement: Measuring length, weight, volume, temperature, and conversions between units.
• Maps, Plans, and Other Representations of the Physical World: Scale and map work, interpreting plans and models.
• Data Handling: Collecting, organizing, analyzing, and interpreting data.
• Probability: Calculating probabilities and understanding chance.

Examination Format

The Mathematical Literacy examination consists of two papers.

• Paper 1: Focuses on Finance, Data Handling, and Probability.
• Paper 2: Focuses on Measurement, Maps and Plans, and Probability.

Annual Teaching Plans and Resources

The Department of Basic Education provides ATPs for Mathematical Literacy. Various study guides and resources are available to support learners in preparing for the examinations.