Grade 9 - Statistics

Statistics

(i) Tabulation of raw data using tally-marks.
(ii) Understanding and recognition of raw, arrayed and grouped data.
(iii) Understanding and recognition of discrete and continuous variables.
(iv) Class intervals, class boundaries and limits, frequency, frequency table, class size for grouped data.
(v) Grouped frequency distributions: the need to and how to convert discontinuous intervals to continuous intervals.
(vi) Drawing a histogram and frequency polygon.
(vii) Understanding of how a histogram differs from a bar chart.
Note: graphs in physics not included.

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Arithmetic
Irrational Numbers
Rational, irrational numbers as real numbers, their place in the number system. Surds and rationalization of surds.

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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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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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Co-ordinate Geometry
(a) Dependent and independent variables.
(b) Ordered pairs, co-ordinates of points and plotting them in the Cartesian Plane.

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