High School Mathematics - 2
Topics & Worksheets

Topic 1. Real Numbers

ChapterDateNotes
01. Properties of Square Roots Review
02. Square Root - II
03. Radicals or Square Root - I
04. Rational Numbers
05. Absolute Value of Integer
06. Type of Numbers: Natural, Whole, Integers, Rational, Irrational & Real
07. Integers: Four Basic Operations Using Signed Numbers - Table
08. Rational and Irrational Numbers
09. Radicals - Conjugate Surds
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. Functions, Relations, Domain & Range
02. Introduction to Functions
03. Functions
04. Types of Functions - (One To One)
05. Inverse of Functions
06. Composition of Functions
07. Onto and Into Functions
08. Many-one, One-One Functions
09. Identity, Constant and Equal Functions
10. Step Function or the Greatest Integer Function
11. Test of Functions: Vertical Line Test
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 Revision - II
03. Multiplication of Matrix
04. Problems on Matrix - I
05. Problems on Matrix - II
06. Determinant of Matrix
07. Singular and non-Singular Matrix
08. Inverse Matrix
09. Solving Linear Equations Using Inverse Method
10. Solving Linear Equations Using Cramer's Method
11. Important Points in Matrices
12. Matrix Review - I
13. Matrix Review - II
14. Matrix Review - III

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

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

Topic 8. Geometry - Triangles and Circles

ChapterDateNotes
01. Solid Geometry
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. Basic Proportionality Theorem or Thale's Theorem

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. Signs of Trigonometric Functions for Negative Angles
08. Relation Between the Sides of a Triangle and T-Ratios
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. Factorising Polynomials by HCF method
03. Factorising by Grouping Terms
04. Factorising Using Identities
05. Remainder Theorem
06. Factor Theorem
07. Quadratic Equations - Discriminant
08. Sum and Product
09. Symmetric Function of Roots
10. Equations Reducible to Quadratic Form
11. Solving Quadratic Inequalitites
12. Solving Cubic Inequalitites
13. Solving Fractional Inequalities
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. Placement Test 2
03. Placement Test 3
04. Placement Test 4
05. Placement Test 5
06. Final Review 1
07. Final Review 2
08. Final Review 3
09. Final Review 4
10. Final Review 5