High School Mathematics - 2
Topics & Worksheets

Topic 1. Real Numbers

ChapterDateNotes
01. Type of Numbers: Natural, Whole, Integers, Rational, Irrational & Real
   
   
02. Absolute Value of Integer
   
   
03. Rational Numbers
   
   
04. Radicals or Square Root - I
   
   
05. Square Root - II
   
   
06. Properties of Square Roots Review
   
   
07. Integers: Four Basic Operations Using Signed Numbers - Table
   
   
08. Radicals - Conjugate Surds
   
   
09. Rational and Irrational Numbers
   
   
10. Real Numbers extra ch 9
   
   
11. Real Numbers extra ch 10
   
   
12. Integer Exponents
   
   
13. Fractional or Rational Exponents
   
   
14. Negative Exponents
   
   
15. Laws of Exponents
   
   
16. Properties of Exponents
   
   
17. Real Numbers
   
   
18. Order of Operations: P E M D A S or B O D M A S
   
   
19. Real Numbers Review Test
   
   

Topic 2. Complex Numbers

ChapterDateNotes
01. Complex Numbers - Introduction
   
   
02. Graphical Representation of a Complex Number
   
   
03. Addition of Complex Numbers
   
   
04. Subtraction and Division of Complex Numbers
   
   
05. Multiplication of Complex Numbers
   
   
06. Some Properties of Complex Numbers
   
   
07. Complex Numbers - Review
   
   

Topic 3. Sequence And Series

ChapterDateNotes
01. Sequences and Series
   
   
02. Arithmetic Sequence
   
   
03. Sum of an Arithmetic Series
   
   
04. Sum of Arithmetic Series - Using Formula
   
   
05. Geometric Sequence
   
   
06. Sum of Geometric Series
   
   
07. Sum of Geometric Series - Using Formula
   
   
08. Arithmetic or Geometric Series
   
   
09. Fibonacci Sequence and Finite and Infinite Sequences
   
   
10. Formula for nth term in a Sequence
   
   
11. Find the First Four Terms of the Sequence
   
   
12. Find the Term of the Sequence
   
   
13. Applications - Arithmetic Sequence/Series
   
   
14. Applications - Geometric Sequence/Series
   
   
15. Sequence and Series - Review
   
   

Topic 4. Functions and Mappings

ChapterDateNotes
01. Test of Functions: Vertical Line Test
   
   
02. Step Function or the Greatest Integer Function
   
   
03. Identity, Constant and Equal Functions
   
   
04. Many-one, One-One Functions
   
   
05. Onto and Into Functions
   
   
06. Composition of Functions
   
   
07. Inverse of Functions
   
   
08. Types of Functions - (One To One)
   
   
09. Functions
   
   
10. Introduction to Functions
   
   
11. Functions, Relations, Domain & Range
   
   
12. Representing Functions as Graphs
   
   
13. Functions - Review
   
   

Topic 5. Statements and Sets

ChapterDateNotes
01. Conditional Identities
   
   
02. Laws of Binary Operations
   
   
03. Binary Operations - Review
   
   
04. Vectors
   
   
05. Binary Operations
   
   
06. Commutative Addition of Vectors
   
   
07. Associative Addition of vectors
   
   
08. Vectors - Review
   
   
09. Position Vector of a Point
   
   

Topic 6. Matrices

ChapterDateNotes
01. Matrix Revision - I
   
   
02. Matrix Review - II
   
   
03. Matrix Review - I
   
   
04. Important Points in Matrices
   
   
05. Solving Linear Equations Using Cramer's Method
   
   
06. Solving Linear Equations Using Inverse Method
   
   
07. Inverse Matrix
   
   
08. Singular and non-Singular Matrix
   
   
09. Determinant of Matrix
   
   
10. Problems on Matrix - II
   
   
11. Problems on Matrix - I
   
   
12. Multiplication of Matrix
   
   
13. Matrix Revision - II
   
   
14. Matrix Review - III
   
   

Topic 7. Polynomials over Integers (Quadratic Equations, Inequalities)

ChapterDateNotes
01. Inequality Postulates
   
   
02. Laws of Logarithms
   
   
03. Binomial Theorem
   
   
04. General Term (Tr+1)
   
   
05. Binomial Theorem
   
   
06. Solutions of System of Linear Inequations in Two Variables
   
   
07. Logarithms - Introduction
   
   
08. Graphical Representation of Solutions to Inequalities
   
   
09. Polynomials Over Integers
   
   
10. Inequalities
   
   
11. Graphical Representation of Solutions of Inequalities
   
   
12. Fundamental Counting Principle
   
   

Topic 8. Geometry - Triangles and Circles

ChapterDateNotes
01. Basic Proportionality Theorem or Thale's Theorem
   
   
02. Geometry Review Chapter
   
   
03. Cyclic Quadrilateral
   
   
04. Theorems - Circles
   
   
05. Angle at Centre Theorem
   
   
06. Circles - Theorems
   
   
07. Circles
   
   
08. Construction of Cyclic Quadrilateral
   
   
09. Touching Circles, Tangents
   
   
10. Construction of a Tangent from an External Point Without Using the Centre
   
   
11. Construction of a Tangent to a Circle from a Point Outside the Circle
   
   
12. Construction of a Tangent to a Circle
   
   
13. Secants
   
   
14. Pythagorean Theorem - Examples
   
   
15. Areas of Similar Triangles
   
   
16. Properties of Similar Triangles
   
   
17. Solid Geometry
   
   

Topic 9. Coordinate or Analytical Geometry

ChapterDateNotes
01. General Concepts - Coordinate Geometry or Cartesian C or Analytical Geometry
   
   
02. Coordinate Plane - Quadrants
   
   
03. Slope - I
   
   
04. Slope - II
   
   
05. Slope - III
   
   
06. Derivation of distance, external and internal division formulae
   
   
07. Distance Between Two Points
   
   
08. Mid Point of the Segment Joining Two Points
   
   
09. The Point Slope Form of a Line
   
   
10. Intercept Form of a Line
   
   
11. The Two Points Form of A Line
   
   
12. Parallel Lines & Perpendicular Lines - Slope
   
   
13. The Slope - Intercept Form of a Line
   
   
14. Problems on Slope
   
   
15. Coordinate Geometry - Review
   
   
16. Centroid of a Triangle
   
   
17. Incentre of a Triangle
   
   
18. Area of a triangle
   
   
19. Locus and its Equations
   
   
20. Area of Quadrilateral
   
   
21. Collinearity of Points
   
   
22. Co-ordinate Geometry Review
   
   

Topic 10. Trigonometry

ChapterDateNotes
01. Introduction to Trigonometry: Degrees and Radians
   
   
02. Heights and Distances
   
   
03. Trignometric Ratios - Sin θ, Cos θ and Tan θ
   
   
04. Relations between Sin θ, Cos θ and Tan θ
   
   
05. Cosecant, Secant and Cotangent of an Angle
   
   
06. Trigonometric Values of Angles
   
   
07. Relation Between the Sides of a Triangle and T-Ratios
   
   
08. Signs of Trigonometric Functions for Negative Angles
   
   
09. Trignometic Ratios and their Values
   
   
10. Trignometry Ratios of Certain Specific Angles
   
   
11. Trignometry Formulas
   
   
12. Trignometry Identities
   
   
13. Trignometric Identities - 1
   
   
14. Trignometric Identities - 2
   
   
15. Trignometric Identities - 3
   
   
16. Trignometric Ratios of Complementory Angles
   
   
17. Trignometric Ratios of Complementory Angles - 2
   
   
18. Trignometry Review
   
   

Topic 11. Statistics

ChapterDateNotes
01. Mean of The Ungrouped Data
   
   
02. Median from Ungrouped Data
   
   
03. Mode of Ungrouped Data
   
   
04. Box and Whisker Plots
   
   
05. Measure of Variation: Standard Deviation and Variance
   
   
06. Standard Deviation - Ungrouped Data
   
   
07. Standard Deviation - Grouped Data
   
   
08. Normal or Gaussian Distributions
   
   
09. Normal and Skewed Distributions
   
   
10. Exponential Distributions
   
   
11. Binomial Distributions
   
   

Topic 12. Quadratic Inequalities

ChapterDateNotes
01. Finding Factors Using Synthetic Division
   
   
02. Solving Fractional Inequalities
   
   
03. Solving Cubic Inequalitites
   
   
04. Solving Quadratic Inequalitites
   
   
05. Equations Reducible to Quadratic Form
   
   
06. Symmetric Function of Roots
   
   
07. Sum and Product
   
   
08. Quadratic Equations - Discriminant
   
   
09. Factor Theorem
   
   
10. Remainder Theorem
   
   
11. Factorising Using Identities
   
   
12. Factorising by Grouping Terms
   
   
13. Factorising Polynomials by HCF method
   
   
14. Solving Modulus Inequalities
   
   

Topic 13. Probability

ChapterDateNotes
01. Probability Introduction
   
   
02. Combinations and Permutations
   
   
03. Sample Space
   
   
04. Compliment of an Event
   
   
05. Combination of Two Events
   
   
06. Conditional Probability
   
   
07. Binomial Distribution
   
   

Topic 14. Computing

ChapterDateNotes
01. Introduction to Mathematical Logic
   
   
02. Truth tables
   
   
03. Conditional Statements
   
   
04. Tautologies
   
   

Topic 15. Review Tests

ChapterDateNotes
01. Placement Test 1
   
   
02. Final Review 4
   
   
03. Final Review 3
   
   
04. Final Review 2
   
   
05. Final Review 1
   
   
06. Placement Test 5
   
   
07. Placement Test 4
   
   
08. Placement Test 3
   
   
09. Placement Test 2
   
   
10. Final Review 5