The School of Mathematics

Grade 10 Mathematics – Term 1

Categories: Grade 10, Mathematics
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About Course

This Grade 10 Mathematics Term 1 course develops algebraic fluency, equation-solving skills and foundational trigonometry in line with the DBE Annual Teaching Plan.

Learners work with real numbers and surds, algebraic expressions and fractions, exponents, equations, inequalities and trigonometric ratios before completing formal assessment preparation.

What Will You Learn?

  • ATP-aligned lessons, guided practice, quizzes, revision activities and formal-assessment preparation.

Course Content

Real Numbers, Surds and Accuracy
<p>Classify rational and irrational numbers; locate simple surds between integers; round real numbers to an appropriate degree of accuracy.</p>

Algebraic Expressions and Factorisation
<p>Multiply a binomial by a trinomial; revise Grade 9 factorisation; factorise trinomials, expressions by grouping, and sums and differences of two cubes.</p>

Algebraic Fractions
<p>Simplify, add and subtract algebraic fractions using factorisation, including denominators involving sums and differences of cubes.</p>

Exponents
<p>Revise and apply exponent laws for integer and rational exponents; simplify expressions and solve exponential equations.</p>

Equations and Inequalities
<p>Solve linear and quadratic equations, simultaneous linear equations, literal equations and word problems; solve linear inequalities and represent solutions graphically and in interval notation.</p>

Trigonometric Ratios and Special Angles
<p>Define sine, cosine and tangent in right-angled triangles; extend ratios from 0° to 360°; examine reciprocal ratios; derive exact values for 0°, 30°, 45°, 60° and 90°.</p>

Two-Dimensional Trigonometry
<p>Solve right-angled two-dimensional problems, simple trigonometric equations and problems involving ratios for angles from 0° to 360°.</p>

Term 1 Investigation, Revision and Test
<p>Complete an ATP-aligned investigation or project, consolidate all Term 1 topics and prepare for the formal test.</p>

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