Grade 9 - Algebra

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.
(iv) Linear Equations and Simultaneous (linear) Equations
(a) Solving algebraically (by elimination as well as substitution) and graphically.
(b) Solving simple problems based on these by framing appropriate formulae.
(v) Indices/ Exponents Handling positive, fractional, negative and “zero” indices.
(vi) Logarithms
(a) Logarithmic form vis-à-vis exponential form: interchanging.
(b) Laws.
(c) Finding log of a number (to the base 10) using log tables.
(d) Use of logs in evaluating simple numerical expressions (not more than 2 terms, including roots) eg: 37. 52 ;
(200.7)7 ÷ 73.06

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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

Percentage; Percentage increase/decrease applications: increase/decrease in price, addition/subtraction of tax, effect of discount/mark-up, profit/loss.

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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

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Statistics
Tabulation of raw data using tally-marks.
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
Trigonometric Ratios: sine, cosine, tangent of an angle and their reciprocals.
Trigonometric ratios of standard angles- 0, 30, 45, 60, 90 degrees.

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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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