Grade 9 - Arithmatic

Arithmetic

(i) Irrational Numbers
(a) Rational, irrational numbers as real numbers, their place in the number system. Surds and rationalization of surds.
(b) Irrational numbers as non-repeating, non- terminating decimals.
(c) Classical definition p/q, p, q ? Z, q? 0.
(d) Placement of 2 , 3 , 5 on the number line.
(e) Simplifying an expression by rationalising the denominator.
(ii) Significant Figures
(a) A general understanding of the role played in reporting results of experiments/measurements to a certain number of significant figures.

(b) Reporting an answer to a certain number of significant figures.
(c) Difference between approximation, decimal places, 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.
(iii) Framing of Formulae Simple framing including change of subject and substitution.

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Geometry
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.
Triangles
Mid Point Theorem

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Statistics
Tabulation of raw data using tally-marks.
Understanding and recognition of raw, arrayed and grouped data.
Understanding and recognition of discrete and continuous variables.

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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
Trigonometric Ratios: sine, cosine, tangent of an angle and their reciprocals.
Trigonometric ratios of standard angles- 0, 30, 45, 60, 90 degrees. Evaluation of an expression containing these ratios and forms of the type sin/cos/tanA, tan2

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

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