| 1 |
Study Plan |
Study plan – Class IX |
| 2 |
Rules for indices/exponents |
Adding indices when multiplying terms with the same base |
| 3 |
Rules for indices/exponents |
Subtracting indices when dividing terms with the same base |
| 4 |
Rules for indices/exponents |
Multiplying indices when raising a power to a power |
| 5 |
Rules for indices/exponents |
Multiplying indices when raising to more than one term |
| 6 |
Rules for indices/exponents |
Terms raised to the power of zero |
| 7 |
Rules for indices/exponents |
Negative Indices |
| 8 |
Fractional indices/exponents |
Fractional indices |
| 9 |
Fractional indices/exponents |
Complex fractions as indices |
| 10 |
Scientific notation |
Scientific notation with larger numbers |
| 11 |
Scientific notation |
Scientific notation with small numbers |
| 12 |
Scientific notation |
Changing scientific notation to numerals |
| 13 |
Significant figures |
Significant figures |
| 14 |
Number theory – sets |
Number sets and their members |
| 15 |
Number theory – operations |
Properties of real numbers using addition and multiplication |
| 16 |
Number theory – equations |
Transformations that produce equivalent equations |
| 17 |
Graphing binomials |
Binomial products. |
| 18 |
Graphing binomials |
Binomial products with negative multiplier |
| 19 |
Graphing binomials |
Binomial products [non-monic]. |
| 20 |
Squaring binomial |
Squaring a binomial. [monic] |
| 21 |
Squaring binomial |
Squaring a binomial [non-monic]. |
| 22 |
Factorising |
Expansions leading to the difference of two squares |
| 23 |
Algebraic expressions-products |
Products in simplification of algebraic expressions |
| 24 |
Algebraic expressions-larger expansions |
Algebraic Expressions – Larger expansions. |
| 25 |
Algebra-highest common factor |
Highest common factor. |
| 26 |
Factors by grouping |
Factors by grouping. |
| 27 |
Difference of 2 squares |
Difference of two squares |
| 28 |
Common fact and diff |
Common factor and the difference of two squares |
| 29 |
Quadratic trinomials |
Quadratic trinomials [monic] – Case 1. |
| 30 |
Factorising quads |
Factorising quadratic trinomials [monic] – Case 2. |
| 31 |
Factorising quads |
Factorising quadratic trinomials [monic] – Case 3. |
| 32 |
Factorising quads |
Factorising quadratic trinomials [monic] – Case 4. |
| 33 |
Factorising quads |
Factorisation of non-monic quadratic trinomials |
| 34 |
Factorising quads |
Factorisation of non-monic quadratic trinomials – moon method |
| 35 |
Coordinate Geometry-the plane |
Distance formula. |
| 36 |
Coordinate Geometry-midpoint, slope |
Mid-point formula |
| 37 |
Coordinate Geometry-gradient |
Gradient |
| 38 |
Coordinate Geometry-gradient |
Gradient formula. |
| 39 |
Coordinate Geometry-straight line |
The straight line. |
| 40 |
Coordinate Geometry-slope, etc. |
Lines through the origin. |
| 41 |
Coordinate Geometry-equation of line |
General form of a line and the x and y Intercepts. |
| 42 |
Coordinate Geometry-intercept |
Slope intercept form of a line. |
| 43 |
Coordinate Geometry-point slope |
Point slope form of a line |
| 44 |
Algebra-polynomials |
Introduction to polynomials |
| 45 |
Algebra-polynomials |
The sum, difference and product of two polynomials. |
| 46 |
Algebra-polynomials |
Polynomials and long division. |
| 47 |
Remainder theorem |
The remainder theorem. |
| 48 |
Remainder theorem |
More on remainder theorem |
| 49 |
Factor theorem |
The factor theorem |
| 50 |
Coordinate geometry |
Solve by graphing |
| 51 |
Circle Geometry |
Theorem – Equal arcs on circles of
equal radii subtend equal angles at the centre. Theorem – Equal angles
at the centre of a circle on equal arcs. |
| 52 |
Circle Geometry |
Theorem – The perpendicular from the
centre of a circle to a chord bisects the chord. Theorem – The line
from the centre of a circle to the mid-point of the chord is
perpendicular to the chord. |
| 53 |
Circle Geometry |
Theorem – Equal chords in equal
circles are equidistant from the centres. Theorem – Chords in a circle
which are equidistant from the centre are equal. |
| 54 |
Circle Geometry |
Theorem – The angle at the centre of a circle is double the angle at the circumference standing on the same arc. |
| 55 |
Circle Geometry |
Theorem – Angles in the same segment of a circle are equal. |
| 56 |
Circle Geometry |
Theorem – The angle of a semi-circle is a right angle. |
| 57 |
Circle Geometry |
Theorem – The opposite angles of a cyclic quadrilateral are supplementary. |
| 58 |
Pythagoras |
Proofs of Pythagoras theorem |
| 59 |
Pythagoras |
Pythagorean triples |
| 60 |
Pythagoras |
Find the hypotenuse Part 2 |
| 61 |
Area |
Area of a trapezium. |
| 62 |
Area |
Area of a rhombus. |
| 63 |
Area |
Area of a circle. |
| 64 |
Geometry-constructions |
Geometric constructions |
| 65 |
Surface area |
Surface area of a cube/rectangular prism. |
| 66 |
Surface area |
Surface area of a triangular/trapezoidal prism. |
| 67 |
Surface area |
Surface area of a cylinder and sphere. |
| 68 |
Surface area |
Surface area of pyramids |
| 69 |
Surface area |
Surface area of cones |
| 70 |
Geometry problems |
More difficult exercises involving parallel lines |
| 71 |
Geometry-reasoning |
Further difficult exercises involving formal reasoning |
| 72 |
Geometry-polygons |
Angles of regular polygons |
| 73 |
Geometry-congruence |
Congruent triangles, Test 1 and 2 |
| 74 |
Geometry-congruence |
Congruent triangles, Test 3 and 4 |
| 75 |
Geometry-congruence |
Proofs and congruent triangles. |
| 76 |
Similar triangles |
Similar triangles |
| 77 |
Surds |
Introducing surds |
| 78 |
Surds |
Some rules for the operations with surds |
| 79 |
Surds |
Simplifying surds |
| 80 |
Surds |
Creating entire surds |
| 81 |
Surds |
Adding and subtracting like surds |
| 82 |
Surds |
Expanding surds |
| 83 |
Statistics |
Frequency distribution table |
| 84 |
Statistics |
Frequency histograms and polygons |
| 85 |
Statistics |
Relative frequency |
| 86 |
Statistics |
The range. |
| 87 |
Statistic-probability |
The mode |
| 88 |
Statistic-probability |
The mean |
| 89 |
Statistic-probability |
The median |
| 90 |
Statistic-probability |
Cumulative frequency |
| 91 |
Statistic-probability |
Calculating the median from a frequency distribution |
| 92 |
Logic |
Inductive and deductive reasoning |
| 93 |
Logic |
Definition and use of counter examples |
| 94 |
Volume/capacity |
Problems with volume/capacity. |
| 95 |
Volume |
Finding the volume of prisms |
| 96 |
Volume |
Volume of a cylinder and sphere. |
| 97 |
Volume |
Volume of pyramids and cones. |
| 98 |
Volume |
Composite solids. |
| 99 |
Co-ordinate Geometry-Two point formula |
Two point formula: equation of a line which joins a pair of points. |
| 100 |
Co-ordinate Geometry-Intercept form |
Intercept form of a straight line: find the equation when given x and y |
| 101 |
Co-ordinate Geometry-Parallel lines equations |
Parallel lines: identify equation of a line parallel to another |
| 102 |
Co-ordinate Geometry-Perpendicular lines |
Perpendicular lines. |
| 103 |
Co-ordinate Geometry-Inequalities |
Inequalities on the number plane. |
| 104 |
Statistic-probability |
Probability of Simple Events |
| 105 |
Statistic-probability |
Rolling a pair of dice |
| 106 |
Statistic-probability |
Experimental probability |
| 107 |
Exam |
Exam – Class IX |
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