South Africa Grade 11 School Syllabus - Mathematics

This syllabus covers the core concepts and skills students are expected to master in Grade 11 Mathematics. It builds upon prior knowledge and prepares students for more advanced mathematical studies. The curriculum is aligned with the Curriculum and Assessment Policy Statement (CAPS).

Core Topics:

• Algebra:
• Exponents and Surds: This section reviews the laws of exponents and extends them to rational exponents and surds (radicals). Students learn to simplify expressions, solve equations, and apply these concepts to real-world problems.
• Equations and Inequalities: Students delve deeper into solving various types of equations and inequalities, including linear, quadratic, and simultaneous equations.
• Number Patterns: This topic explores different types of number patterns, including arithmetic and geometric sequences. Students learn to identify patterns, find general terms, and solve problems involving sequences.
• Analytical Geometry: Students apply algebraic techniques to geometric problems, focusing on coordinate geometry. They learn about the distance formula, midpoint formula, gradients, and equations of lines and circles.
• Functions: This section introduces the concept of functions and their properties. Students learn to represent functions graphically and algebraically, determine domain and range, and work with different types of functions, including linear, quadratic, exponential, and logarithmic functions.
• Trigonometry: Students expand their knowledge of trigonometric ratios and functions, including sine, cosine, and tangent. They learn to solve trigonometric equations and apply trigonometry to real-world problems involving triangles and angles.
• Euclidean Geometry and Measurement: This topic builds upon previous geometric concepts, focusing on circle geometry, theorems, and proofs. Students learn to apply geometric reasoning and solve problems involving shapes and their properties.
• Probability: Students learn about different types of probability, including theoretical and experimental probability. They calculate probabilities, use probability diagrams, and solve problems involving chance and uncertainty.
• Statistics: This section covers data analysis and interpretation. Students learn about different ways to represent data, calculate measures of central tendency and dispersion, and draw conclusions from data sets. Topics include histograms, ogives, variance, and standard deviation.

South Africa Grade 11 School Syllabus - Mathematical Literacy

This syllabus focuses on applying mathematical concepts and skills to real-world situations. It emphasizes problem-solving and critical thinking in everyday contexts. The curriculum is aligned with the Curriculum and Assessment Policy Statement (CAPS).

Core Topics:

• Numbers and Calculations with Numbers: This section covers basic number operations, including fractions, decimals, percentages, and ratios. Students learn to perform calculations, estimate, and solve problems involving everyday numerical situations.
• Patterns, Relationships, and Representations: Students learn to identify and analyze patterns in various contexts, including numerical, geometric, and graphical patterns. They interpret and represent relationships between variables.
• Measurement (Conversions and Time): This topic focuses on different units of measurement, converting between units, and working with time. Students learn to measure length, weight, volume, temperature, and solve problems involving measurement in practical situations.
• Finance (Interest, Banking, and Taxation): Students learn about basic financial concepts, including interest rates, banking services, and taxation. They perform calculations related to personal finance, budgeting, and investments.
• Maps, Plans, and Other Representations of the Physical World (Scale and Map Work): This section covers interpreting and using maps, plans, and other visual representations. Students learn about scale, direction, and distance, and apply these concepts to real-world navigation and problem-solving.
• Data Handling and Probability: Students learn to collect, organize, and analyze data. They interpret data representations, calculate probabilities, and make predictions based on data.

This information is intended as a general overview. For the most current and detailed information, please refer to the official Department of Basic Education resources and approved textbooks.