MATHEMATICS Curriculum Grades 10 to 12
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1 MATHEMATICS Curriculum Grades 10 to 12 Grade 10 Number systems Algebraic Expressions expressions Products (Ch. 1) Factorisation Term 1 Exponents (Ch. 2) Number patterns (Ch. 3) (CH.4) Notation, rules, laws Arithmetic sequences Geometric sequences Other number patterns Linear Literal Quadratic Simultaneous Linear inequalities Term 2 (Ch. 5) (Ch. 7) (Ch. 8) Notation Ratios Right angled triangles Cartesian plane Special angles Variables Domain Range Notation Straight lines Various functions Effect a; q Trig functions Trig graphs
2 Term 3 Term 4 Euclidean Geometry (Ch. 9) Euclidean Geometry (Ch. 14) Analytical geometry (Ch. 11) Finance and growth (Ch. 12) (Ch. 13) (CH.15) Parallel lines Angles Polygons Quadrilaterals Midpoint theorem Simple circles Construction Equivalence Ratios Right angled triangles Cartesian plane Special angles Distance Midpoint Gradient Simple interest Compound interest Loan repayments Inflation Population growth Exchange rates Time lines Central tendency Types of data Frequency tables Stem and leaf Dispersion IQR Box-and-whisker Elevation Depression Bearings Circumference Volume Surface area Polyhedrons Other shapes Spheres Enlargement Circumference Volume Surface area
3 (Ch. 17) Revision Algebra Revision Algebra Revision German: Introduction Calculus Polyhedrons Other shapes Outcomes Events Intersection Union Exclusive events Complementary events Products Exponents Factorisation Number patterns Right angled triangles Cartesian plane Special angles Rules of differentiation Simple graph interpretation Grade 11 Ratios Calculator Special angles (Ch. 7 gr 11) Trigonometric identities Reduction formulae Term 1 Exponents and surds (Ch. 1) Number systems Exponential expressions Exponential equations with surds Quadratic factorisation and (Ch. 2) Substitution Radicals Square roots Simultaneous equations Term 2 Number patterns Non linear sequences
4 Term 3 Term 4 (Ch. 9) (Ch. 8) Analytical Geometry (Ch. 4 gr 11) (Ch. 10 gr 12) (Ch. 9) Euclidean geometry (Ch. 10) (Ch. 11 gr 11) (Ch. 6 gr 12) (CH.13) Finance growth Finance decay (Ch. 14) Quadratic sequences Various functions Vertical shifts Horizontal shifts and interpretation Perpendicular lines Parallel lines Collinear pts. of lines Inclination Circle centre origin radius r Right prisms Cylinders Cones Changing dimensions Spheres Scale Circles Contradiction Tangents Tan-Chord Area rule Sine rule Cos rule Polygons Heights and distances 2D Simple 3D Exclusive Complementary Independent Compound interest Interest rates Nominal rates Effective rates Straight line depreciation Reduced balance depr. Frequency polygons Central tendency Dispersion Ogives Data patterns
5 Term 1 Revision Paper 1 Revision Paper 2 Box-and-whisker Algebra Patterns and sequence Financial maths and graphs Calculus Analytical geometry Euclidean geometry Grade 12 Number patterns Patterns Sequence Arithmetic Sequence / Series Series Geometric Sequence / Series (Ch. 1) Sigma notation Infinite GS Term 2 and inverse (Ch. 2) Exponential Logarithmic functions (Ch. 3) Financial maths (Ch. 4) (Ch. 5) (Ch. 5) Domain Range Inverse Exp functions Log functions Log equations Logs to solve exponential equations Terminology Time lines Annuity Future values Loan repayments Present value Time period calculations Fix payment loans Pyramid schemes Trig equations Trig identities Compound angles Double angles
6 2D and 3D (Ch. 6) Polynomial functions (Ch. 7) Differential calculus (Ch. 8; 9) Sine rule Cosine rule Area rule Solving 2D and 3D Polynomials Remainder theorem Factor theorem Solving cubic equations Gradient Limits Gradients to a curve Differentiation Tangents Higher derivatives cubic functions Maxima Minima Rates of change of motion Circle (0;0) r Analytical geometry Circle (a;b) r (Ch. 10) Equation tangent Term 3 Euclidean geometry (Ch. 10) (Ch. 11 gr 11) (Ch. 5 gr 12) Counting and Circles Triangle areas Proportional division Similarity Pythagoras Converses of theorems Regression Correlation Bivariate data Line best fit Least square regression Counting different options Fundamental counting principle
7 (CH.13) Revision Paper 1 Algebra Revision Paper 1 Patterns and sequence Financial maths and graphs Calculus Term 4 Analytical geometry Revision Paper 2 Euclidean geometry
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