Theory Notes

Regarding contents for theory notes, the checklist for each topic is provided so that, the students can easily reflect whether they are ready for exam questions or not! Good luck.

Content	Check list
1  Number	[Types of numbers, Factors and multiples, Standard form, Significant fiures, decimal places, fractions /decimals/ percentage, Ratio /Proportions, Indices]
2  Algebra	[Basic alebraic Manipulation, BIDMAS, Factorisation, Simplifying expression, Linear Equation, Solving equation, Changing the subject of equation, Simultaneous equation, Quadratic equation, Inequation, sequences, algebric fraction.]
3 Functions	[Function notation, Composite Function, Inverse function, Domain and Range, Types of mapping, Graphs of functions, Relationship between $f(x)$ and $f^{-1}(x)$ ]
4 Coordinate Geometry/Graphs	[Gradient of a straight line, The equation of a straight line, Distance between the two points, Midpoint of a line segment, Parallel and perpendicular lines, Interpracting graph, y intercept, x intercept.]
5  Mensuration	[2D shapes, perimeter and area, Circles and sectors {circumference and areas, arc length, area of sector, segment of a circle, 3D shapes surface area, total surface area, curved surface area, 3D shapes Volumes, prisms, cylinders, pyramid, Cones, Spheres, Arc and sector in 3D, Similar shapes, Length, area and volume ratio.]
6  Geometry /Construction	[Angle properties - angles on the straight line, angles at a point, vertically opposite angles, parallel lines, properties of polygons - the sum of interior angles, the sum of exterior angles, regular polygons, Circle theorams, symmetry, Geometrical constructions - Perpendicular bisector, angle bisectorn constructing triangles, Loci - distance from a point, distance from a line, equidistance.
7  Trigonometry	[Right-angled triangle, SOH CAH TOA, the sine rule, the cosine rule, the area of the triangle, 3D trigonomy, bearing]
8  Sets and Venn Diagram	[set notation, subsets and proper subsets, set operations, ven diagrams, solving problems vs ven diagrams, probavility in sets].
9  Statistics	[Measures of central tendicies - Mean, medium, mode;  Measure of spreads - range, interqutine range,  Cumulative frequency, histogram, box and whisker plots, Sterm and leaf diagrams, Scatter diagrams and correlation]
10  Probability	[Basic probability Rule, Mutually exclusive event, Independent events, Tree diagrams, combined events with or without replacement, Set and Ven diagrams in Probability, Relative frequency.]
11  Vectors	Vector notation, Basic operation (Addition, substraction, scalar multiplication), Magnitude of a vector, parallel lines and collinear, position vector, Geometric prooff
12  Matrices	Order of matrix (Row x Column), addition, substraction, scalar mutiply, matrix multiplication, Determinant, Inverse, Geometric transformation
13  Transformations	Translation, Reflection, Rotation, Enlargement, How many facts to describe for single transformation (center, type,magnitude)
14  Differentiation /Application /Kinematics	The power rule,gradient, Points (max and mini), tangent, normal, displacement, velocity, acceleration. at rest (v=0), initial (t=0) , constant velocity (a=0)