Grade 9 - Coordinate Geometry

Co-ordinate Geometry

(a) Dependent and independent variables.
(b) Ordered pairs, co-ordinates of points and plotting them in the Cartesian Plane.
(c) Graphs of x=0, y=0, x=a, y=a, x=y, y= mx+c including identification and conceptual understanding of slope and y-intercept.
(d) Recognition of graphs based on the above.

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Arithmetic
(i) Irrational Numbers
(ii) Significant Figures

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Commercial Mathematics
(i) Percentage
(ii) Simple Interest

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Algebra
(i) Expansions (a ± b)2 (a ± b)3 (x ± a)(x ± b)
(ii) Factorisation
a2– b2 a3 ± b3 ax2+ bx + c, by splitting the middle term.

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Geometry
(i) Angles formed at a point by two intersecting lines and parallel lines and a transversal Adjacent, supplementary, linear pair, vertically opposite, alternate, corresponding, allied (co-interior) and their properties.
(ii) Triangles

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Statistics
(i) Tabulation of raw data using tally-marks.
(ii) Understanding and recognition of raw, arrayed and grouped data.

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Mensuration
Formulae for area and perimeter of simple 2-D figures: triangle (including Hero’s formula for area), square, rhombus, rectangle, parallelogram and trapezium. Simple direct problems based on these including those involving inner and outer dimensions, cost.

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Trigonometry
(a) Trigonometric Ratios: sine, cosine, tangent of an angle and their reciprocals.
(b) Trigonometric ratios of standard angles- 0, 30, 45, 60, 90 degrees.

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