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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