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Algebra 1
 Expressions, equations and functions
 Expressions, variables and operations
 Composing expressions
 Composing equations and inequalities
 Representing functions as rules and graphs
 Exploring real numbers
 Number system
 Integers and real numbers
 Properties of real numbers
 Linear equations, functions, visualization
 Basics of solving equations
 Ratios and proportions
 Slope of a line
 Calculate the rate of change of a linear function
 Similar figures
 Graphs, coordinate plane, sole and intercept
 Functions and realworld problems
 Definition of functions
 Input and output to a function
 domain and range values
 Graphs
 Solving Linear inequalities
 Solving compound inequalities
 Absolute value equations and inequalities
 Linear inequalities in two variables
 Systems of linear inequalities and equations
 Systems of linear inequalities
 Substitution and elimination methods
 Exponents and exponential functions
 interpret and write exponential functions in the form f(x) = abx
 exponential functions with real world problem
 exponential functions – growth and decay
 Factoring and polynomials
 Monomials and polynomials
 Special products of polynomials
 Factorization of polynomials
 Quadratic equations
 determine the domain and range of quadratic functions
 graph quadratic functions on the coordinate plane
 solve quadratic equations having real solutions by factoring, taking square roots
 estimation and prediction using quadratic equations
 Radical Expressions
 Simplify radical expressions
 Radical functions, graphs
 Pythagorean theorem
 Distance and midpoint formulas
 Rational Expressions
 Simplify rational expressions
 Multiply rational expressions
 Add, subtraction and division of polynomials
 Solving rational expressions
Algebra 2
 Equations and inequalities
 Simplify expressions and equations
 Absolute and Modulus values
 Solving inequalities
 Functions and linear equations
 Solving linear equations, functions
 Slope and intercept, graphs
 Graph inequalities
 Solving system of linear equations
 Solving systems of equations in two variables
 Solving systems of equations in three variables
 Matrices
 Introduction of Matrices
 Operations with Matrices
 Determinants
 Using matrices when solving system of equations
 Polynomials
 Simplify expressions
 Factoring polynomials
 Polynomials functions
 Remainder and factor theorems
 Roots and zeros
 Quadratic functions and inequalities
 Solving quadratic equations
 Roots and coefficients
 Real world problems with Quadratic equations
 Exponential and logarithmic functions
 Exponential function
 Logarithm functions and properties
 Arithmetic sequences and series
 Arithmetic sequences and series
 Geometric sequences and series
 Binomial theorem
 Probability
 Probabilities
 Permutations and combinations
 Trigonometry
 Trigonometric functions
 Lines and Angles
 Circular functions
 Inverse functions
Geometry
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Lines and Angles
 Line
 Line segment and Ray
 Angle
 Type of angles
Parallel Lines
 Transversal
 Parallel lines and relation between different angles formed by transversal and parallel lines
Triangles
 Triangle
 Basic properties of triangle
 Angle sum property and different types of Triangles
Congruence of triangles
 Congruency
 SSS, SAS, ASA, AAS and RHS congruency of triangles
Concurrent lines in Triangles
 MedianCentroid
 AltitudeOrthocentre
 Angular bisectorIncentre.
Polygons
 Polygon
 Different types of Polygons
 Interior angle Sum
 Exterior angle sum and No.Of diagonals.
Quadrilateral
 Quadrilateral
 Angle sum properties of Quadrilateral and basic properties of Quadrilateral.
Types of Quadrilateral
 Quadrilateral
 Trapezium
 Parallelogram
 Rectangle
 Rhombus
 Square and their properties.
Various theorems in Quadrilateral
 MidPoint theorem
 Converse of MidPoint theorem and Intercept theorem
Similar Triangles
 Similarity
 Properties of Similar Polygons
 Basic Propertionality theorem and its Converse
 Vertical Angle bisector theorem and its Converse
Criteria for Similarity of Triangles
 SSS, SAS and AAA similarity
 Areas and Perimeters of Similar Triangles
 The ratios of similar Triangles and Perimeters of Similar Triangles
 Right triangle and Pythagorean theorem
 Pythagorean theorem and its Converse
 Mean proportionality relations in Right triangle and conditions for verifying type of triangle
 Right triangleTrigonometry
 Different systems of measuring angles
 Trigonometric ratios
 Tratios of (90 – x )
Circles
 Circle
 Basic terms of Circle
 Length of arc
 area of a sector
 Circle theorems
 Various theorems on Chord
 Central angle theorem and its applications
 Various theorems on Tangents
 Perimeter and Area
 Perimeter and Area of various triangles, quadrilaterals and Circles
 Volume and Surface area
 Volume and Surface area of Cuboid, cube, Cylinder, Cone and Sphere
PreCalculus
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Functions
 Functions and Relations
 Domain and Range
 Even and odd functions
 Transformation of functions
 Trigonometric equations
Trigonometry
 Graphs of Sine and cosine
 Transformations of sine and cosine
 Inverse trigonometric functions
 Sinusoidal equations and models
 Angle addition
 Using trigonometric identities
Polynomials
 Addition and subtraction of polynomials
 Division of polynomials
 Binomial theorem
 Graphs of polynomial functions and solving equations
 Graphing rational functions and reciprocal functions
Exponential and Logarithms
 Applications of exponential functions
 Logarithms
 Solving exponential and logarithmic equations
 Graphing logarithmic functions
Conic sections
 Feature of a circle
 Equations of a circle
 Center, radii, focii of an ellipse
 Focus and directrix of a parabola
 Hyperbola
Vectors
 Introduction to vectors
 Operations with vectors
 Applications of vectors
Complex numbers
 Complex numbers and imaginary numbers
 The complex plane: Complex numbers
 Addition, Subtraction and Multiplication of complex numbers
 Distance and midpoint of complex numbers
 Complex conjugates and dividing complex numbers
 Identities with complex numbers
 Absolute value and angle of complex numbers
 Polar form of complex numbers, multiplication and division
Matrices
 Introduction
 Representing linear systems of equations with augmented matrices
 Matrix row operations
 Rowechelon form and Gaussian elimination
 Addition, Subtraction, Multiplication of Matrices
 Multiplying matrices by scalars
 Properties of matrix addition & scalar multiplication
 Properties of matrix multiplication
 Matrices as transformations
 The determinant of a 2×2 matrix
 Finding the inverse of a matrix using its determinant
 Solving equations with inverse matrices
 Model realworld situations with matrices
Note: Any other topic as per inputs by students provided during the course will be covered
 Expressions, equations and functions