Mathematics Kenya Form 2 Syllabus
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Cubes and Cube Roots
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Cubes of numbers by multiplication
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Cubes from tables
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Cube roots of numbers by factor method
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Evaluation of cube and cube root expressions
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Application of cubes and cube roots to real life situations
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Reciprocals
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Reciprocals of numbers by division
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Reciprocals of numbers from tables
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Computation using reciprocals
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Indices and Logarithms
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Indices (powers) and base
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Laws of indices (including positive integers, negative intergers and fractionaal indices
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Powers of 10 and common logarithms
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Common logarithms: (characteristics, mantissa)
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Logarithm tables
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Application of common logarithms in multiplication, division and finding roots
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Equation of Straight Lines
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Gradient of a straight line
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Equation of a straight line
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Th equation of a straight line of the form y = mx + c
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The x and y intercepts of a line
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The graph of a straight line
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Perpendicular lines and their gradients
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Parallel lines and their gradients
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Equations of parallel and perpendicular lines
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Reflection and Congruence
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Lines and planes of symmetry
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Mirror lines and construction of objects and images
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Reflection as a transformation
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Reflection in the Cartesian plane
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Direcy and opposite congruency
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Congruency tests (SSS,SAS,AAS,ASA and RHS)
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Reflection and Congruence
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Rotation
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Properties of rotation
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Centre and angle of rotation
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Rotation in the Cartesian plane
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Rotational symmetry of plane figures and solids (point, axis and order)
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Congruence and rotation
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Construction of similar figures
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Properties of enlargement
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Construction of objects and images under enlargement
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Enlargement in the Cartesian plane
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Linear, area and volume scale factors
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Real life situations
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Pythagoras Theorem
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Pythagoras Theorem
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Solution of problems using Pythagoras Theorem
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Applications to real life situations
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Trigonometry
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Tangent, sine and cosine of angles
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Trogonometric tables
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Angles and sides of a right angled triangle
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Sine and cosine of complementary angles
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Relationship between tangent, sine and cosine
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Trigonometric ratios of special angles 30°, 45°, 60° and 90°
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Logarithm of a sine, a cosine and a tangent
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Application of trigonometry to real life situations
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Area of a Triangle
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Area of a triangle A = 1/2 ab sin C
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Area of a triangle A = √s(s -a)(s -b) (s -c)
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Application to real life situations.
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Area of Quadrilaterals and other Polygons
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Area of quadrilaterals
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Area of other polygons (regular and irregular)
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Area of Part of a Circle
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Area of a sector
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Area of a segment
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Area of common regions between two circles
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Surface Area of Solids
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Surface area of prisms, pyramids, cones, frustrums and spheres
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Volume of solids
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Volume of a prism, a pyramid, a cone, a frustrum and a sphere
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Quadratic Expressions and Equations
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Expansion of algebraic expressions
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The three quadratic identities
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Using the three quadratic identities
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Factorisation of quadratic expressions
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Solutions of quadratic equations by factor method
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Formation and solution of quadratic equations
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Linear Inequalities
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Inequalities on a number line
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Simple and compound inequalities statements
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Linear inequality in one unknown
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Graphical representaion of linear inequalities
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Graphical solutions of simultaneous linear inequalities
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Simple linear inequalities from inequality graphs
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Inequalities from inequality graphs
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Linear Motion
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Displacement, velocity, speed and acceleration
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Determining velocity and acceleration
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Solve problems involving relative speed
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Distance-time graphs
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Velocity - time graphs
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Interpretation of graphs of linear motion
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Relative speed
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Statistics
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Definition of statistics
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Collection and organization of data
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Frequency distribution tables ( for grouped and ungrouped data)
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Grouping data
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Mean, mode and median
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Representation of data: line graph,bar graph, pie chart, pictogram, Histogram, Frequency polygon
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Interpretation of data
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Angle Properties of a Circle
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Arc, chord and segment
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Angles subtended by the same arc at the circumference
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Relationship between angle subtended at the centre and angle subtended on the circumference by the same arc
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Angle in a semi-circle
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Angle properties of a cyclic quadrilateral
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Finding angles of a cyclic quadrilateral
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Vectors
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Vector and scalar quantities
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Vector notation
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Representation of vectors
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Equivalent vectors
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Addition of vectors
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Multiplication of a vector by a scalar
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Column vectors
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Position vectors
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Magnitude of a vector
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Midpoint of a vector
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Translation vector
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