Grade 10 – Pure Maths

Overview of Grade 10 Mathematics in the South African CAPS

The Grade 10 Mathematics curriculum in South Africa, as outlined by the Curriculum and Assessment Policy Statement (CAPS), is designed to develop learners' mathematical knowledge, skills, and reasoning in preparation for further studies and real-world problem-solving. The curriculum forms part of the Further Education and Training (FET) Phase, covering Grades 10 to 1213.

Purpose and Aims

The main aims of Grade 10 Mathematics are to:

• Develop fluency in computation without over-reliance on calculators.

• Foster mathematical modeling by incorporating real-life problems into lessons.

• Enhance logical and critical thinking, accuracy, and problem-solving abilities.

• Enable learners to communicate mathematical ideas using words, graphs, symbols, tables, and diagrams.

• Prepare learners for further studies and a variety of career paths by building a strong mathematical foundation13.

Core Content Areas

The Grade 10 Mathematics CAPS curriculum is structured around ten main content areas, each contributing to specific mathematical skills:

• Functions

• Number Patterns, Sequences, and Series

• Finance, Growth, and Decay

• Algebra

• Differential Calculus (introduced at a basic level)

• Probability

• Euclidean Geometry and Measurement

• Analytical Geometry

• Trigonometry

• Statistics13

Weighting and Assessment

Each content area is weighted to guide the allocation of teaching time and the distribution of marks in assessments. For example, in Grade 10:

• Algebra and Equations, Functions and Graphs, and Trigonometry receive significant emphasis.

• Other areas like Probability, Statistics, and Analytical Geometry are also included but with slightly less weighting1.

Assessment is continuous and planned, including:

• Investigations or projects

• Regular tests

• Assignments

• Examinations (mid-year and end-of-year)1

Teaching Approach and Skills Development

The curriculum emphasizes:

• Mathematical process skills: identifying, investigating, and solving problems creatively and critically.

• Spatial skills: using properties of shapes and objects to solve problems.

• Participation as responsible citizens, using mathematics in local, national, and global contexts.

• Progression from concrete to more abstract mathematical concepts, preparing learners for higher education13.

Typical Grade 10 Topics by Term

A typical sequence for Grade 10 includes:

• Term 1: Algebraic expressions, exponents, number patterns, equations and inequalities, introduction to trigonometry.

• Term 2: Functions, trigonometric functions, Euclidean geometry.

• Term 3: Analytical geometry, statistics, probability.

• Term 4: Revision and consolidation of all topics1.

Summary Table: Main Grade 10 Mathematics CAPS Topics