Grade 9 Syllabus - vschools.in

Grade 9 Syllabus for Mathematics

#	TOPIC	TITLE
1	Self Assessment	Self Assessment – MYP Grade 9
2	Logic	Inductive and deductive reasoning
3	Logic	Definition and use of counter examples
4	Logic	Indirect proofs
5	Logic	Mathematical induction
6	Logic	Conditional statements (converse, inverse and contrapositive) (Stage 2)
7	Angles	Measure and classify angles
8	Geometry-angles	Measuring angles
9	Coordinate Geometry-the plane	Distance formula.
10	Coordinate Geometry-midpoint, slope	Mid-point formula
11	Pythagoras	Find the hypotenuse
12	Pythagoras	Pythagorean triples
13	Pythagoras	Find the hypotenuse Part 2
14	Pythagoras	Calculating a leg of a right-angled triangle
15	Pythagoras	Proofs of Pythagoras theorem
16	Geometry-angles	Adjacent angles
17	Geometry-angles	Complementary and supplementary angles
18	Geometry-angles	Vertically opposite angles
19	Geometry-angles	Angles at a Point.
20	Geometry-angles	Parallel Lines.
21	Geometry-problems	Additional questions involving parallel lines
22	Geometry-triangles	Angle sum of a triangle
23	Geometry-triangles	Exterior angle theorem
24	Special triangles	Special triangles
25	Coordinate Geometry-gradient	Gradient
26	Coordinate Geometry-gradient	Gradient formula.
27	Coordinate Geometry-straight line	The straight line.
28	Coordinate Geometry-slope, etc.	Lines through the origin.
29	Coordinate Geometry-equation of line	General form of a line and the x and y Intercepts.
30	Coordinate Geometry-intercept	Slope intercept form of a line.
31	Coordinate Geometry-point slope	Point slope form of a line
32	Co-ordinate Geometry-Two point formula	Two point formula: equation of a line which joins a pair of points.
33	Co-ordinate Geometry-Intercept form	Intercept form of a straight line: find the equation when given x and y
34	Co-ordinate Geometry-Parallel lines equations	Parallel lines: identify equation of a line parallel to another
35	Geometry problems	More difficult exercises involving parallel lines
36	Geometry-reasoning	Further difficult exercises involving formal reasoning
37	Geometry-polygons	Angles of regular polygons
38	Geometry-congruence	Congruent triangles, Test 1 and 2
39	Geometry-congruence	Congruent triangles, Test 3 and 4
40	Geometry-congruence	Proofs and congruent triangles.
41	Algebraic equations	Solving equations containing addition and subtraction
42	Algebraic equations	Solving equations containing multiplication and division
43	Algebraic equations	Solving two step equations
44	Algebraic equations	Solving equations containing binomial expressions
45	Algebraic equations	Equations involving grouping symbols.
46	Algebraic equations	Equations involving fractions.
47	Algebra-inequalities	Solving Inequalities.
48	Absolute value or modulus	Solving and graphing inequalities
49	Absolute value or modulus	Simplifying absolute values
50	Geometry-constructions	Geometric constructions
51	Geometry	To identify collinear points, coplanar lines and points in 2 and 3 dimensions
52	Geometry – angles	To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra
53	Geometry-constructions	Angle bisector construction and its properties (Stage 2)
54	Geometry-constructions	Circumcentre and incentre (Stage 2)
55	Geometry-constructions	Orthocentre and centroids (Stage 2)
56	Geometry-quadrilaterals	Midsegments of Triangles
57	Geometry – triangles	Triangle inequality theorem
58	2-D shapes	Using the prefix to determine polygons
59	2-D shapes	Spatial properties of quadrilaterals
60	Geometry-quadrilaterals	Quadrilaterals
61	Geometry-quadrilaterals	Classifying Quadrilaterals
62	Geometry-quadrilaterals	Using the Properties of a Parallelogram
63	Geometry-quadrilaterals	Proving a Shape is a Parallelogram
64	Geometry-quadrilaterals	Properties of the Rectangle, Square and Rhombus
65	Geometry-quadrilaterals	Properties of the Trapezium and Kite
66	Geometry-quadrilaterals	The quadrilateral family and coordinate methods in geometry
67	Area	Introducing the rules for finding the area of a rectangle and a parallelogram.
68	Area	Finding the area of a triangle and other composite shapes.
69	Area	Area of a trapezium.
70	Area	Area of a rhombus.
71	Area	Area of a circle.
72	Area	Area of regular polygons and composite figures.
73	Similar triangles	Similar triangles
74	Similar triangles	Using similar triangles to calculate lengths
75	Overlapping triangles	Examples involving overlapping triangles
76	Quadratic equations	Introduction to quadratic equations.
77	Quadratic equations	Quadratic equations with factorisation.
78	Quadratic equations	Solving quadratic equations.
79	Quadratic equations	Completing the square
80	Quadratic equations	Solving quadratic equations by completing the square
81	Quadratic equations	The quadratic formula
82	Quadratic equations	Problem solving with quadratic equations
83	Surds	Introducing surds
84	Surds	Some rules for the operations with surds
85	Surds	Simplifying surds
86	Surds	Creating entire surds
87	Surds	Adding and subtracting like surds
88	Surds	Expanding surds
89	Surds	Binomial expansions
90	Surds	Conjugate binomials with surds
91	Surds	Rationalising the denominator
92	Surds	Rationalising binomial denominators
93	Trigonometry-ratios	Trigonometric ratios.
94	Trigonometry-ratios	Using the calculator.
95	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 1 Sine].
96	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 2 Cosine].
97	Trigonometry-ratios	Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio].
98	Trigonometry-ratios	Unknown in the denominator. [Case 4].
99	Trigonometry-compass	Bearings – the compass.
100	Trigonometry-elevation	Angles of elevation and depression.
101	Trigonometry-practical	Trigonometric ratios in practical situations.
102	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.
103	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.
104	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.
105	Circle Geometry	Theorem – The angle at the centre of a circle is double the angle at the circumference standing on the same arc.
106	Circle Geometry	Theorem – Angles in the same segment of a circle are equal.
107	Circle Geometry	Theorem – The angle of a semi-circle is a right angle.
108	Circle Geometry	Theorem – The opposite angles of a cyclic quadrilateral are supplementary.
109	Circle Geometry	Theorem – The exterior angle at a vertex of a cyclic quadrilateral equals the interior opposite angle.
110	Circle Geometry	Theorem – The tangent to a circle is perpendicular to the radius drawn to it at the point of contact.
111	Circle Geometry	Theorem – Tangents to a circle from an external point are equal.
112	Circle Geometry	Theorem – The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
113	Volume	Finding the volume of prisms
114	Volume	Volume of a cylinder and sphere.
115	Volume	Volume of pyramids and cones.
116	Volume	Composite solids.
117	Surface area	Surface area of a cube/rectangular prism.
118	Surface area	Surface area of a triangular/trapezoidal prism.
119	Surface area	Surface area of a cylinder and sphere.
120	Surface area	Surface area of pyramids
121	Surface area	Surface area of cones
122	Surface area	Surface area of composite solids
123	Exam	Exam – MYP Grade 9