Punjab Smart Syllabus PDF

Introduction to Matrices

Types of Matrices

Addition and Subtraction of Matrices

Multiplication of Matrices

Multiplicative Inverse of Matrix

Solution of Simultaneous Linear Equations

Matrices and Determinants Game

Exam Cheat Sheet (coming soon)

Real Numbers

Properties of Real Numbers

Radicals and Radicands

Laws of Exponents/ Indices

Complex Numbers

Basic Operation on Complex Numbers

Real and Complex Numbers Game

Exam Cheat Sheet (coming soon)

Scientific Notation

Introduction to Logarithms

Characteristic and Mantissa of a Common Log of a Number

Product Law of Logarithms

Quotient Law of Logarithms

Power Law of Logarithms

Change of Base Law of Logarithms

Application of the Laws of Logarithms

Logarithms Game

Exam Cheat Sheet (coming soon)

Rational Expressions and Polynomials

Reduce an Algebraic Expression to its Lowest Form

Sum, Difference, and Product of Rational Expressions

Division of Rational Expressions

Value of an Algebraic Expression at Some Particular Real Number

Formula:

Formula:

Formula:

Addition and Subtraction of Surds

Multiplication and Division of Surds

Rationalize the Denominators and Evaluate Second Order Surds

Rationalize Complex Denominators

Algebraic Expressions and Algebraic Formulas Game

Exam Cheat Sheet (coming soon)

Factorise:

Factorise:

Factorise:

Factorise:

Factorise: or

Factorise:

Factorise:

Factorise: or or

Factorise:

Factorise:

Remainder Theorem

Use Factor Theorem to Factorise a Cubic Polynomial

Factorisation Game

Exam Cheat Sheet (coming soon)

HCF by Factorisation

LCM by Factorisation

HCF by Division

Relationship Between HCF and LCM

Use HCF and LCM to Reduce Fractional Expressions

Square Root of Algebraic Expressions

Algebraic Manipulation Game

Exam Cheat Sheet (coming soon)

Solution of Linear Inequalities with Rational Coefficients

Solution of Equations Involving Radicals

Solution of Linear Equations Involving Absolute Value

Inequalities (>,<) and (≤,≥)

Solution of Linear Equations in One Variable

Linear Equations and Inequalities Game

Exam Cheat Sheet (coming soon)

Cartesian Plane

Drawing Graphs

Conversion Graphs

Solution of Simultaneous Linear Equations in Two Variables Using Graphical Method

Linear Graphs and Their Application Game

Exam Cheat Sheet (coming soon)

Distance Formula

Collinear and Non-Collinear Points - Triangles

Collinear and Non-Collinear Points - Parallelogram

Midpoint Formula

Application of Distance and Midpoint Formulae

Introduction to Coordinate Geometry Game

Exam Cheat Sheet (coming soon)

Congruency of Two Triangles Based on SSS

Congruency of Two Triangles Based on HL

Congruent Triangles Game

Exam Cheat Sheet (coming soon)

Properties of Parallelograms

Parallelograms and Triangles Game

Exam Cheat Sheet (coming soon)

Any Point Equidistant From the End Points of a Line Segment Is on the Right Bisector of It

Any Point on the Bisector of an Angle Is Equidistant From Its Arms

Line Bisectors and Angle Bisectors Game

Exam Cheat Sheet (coming soon)

The Sum of the Lengths of Any Two Sides of a Triangle Is Greater Than the Third

The Perpendicular Is the Shortest Distance From Any Point to the Line

Sides and Angles of a Triangle Game

Exam Cheat Sheet (coming soon)

A Line Parallel to One Side of a Triangle and Intersecting the Other Two Sides Divides Them Proportionally

Triangle Angle Bisector Divides Opposite Side Proportionally to Arms of the Angle

Ratio and Proportion Game

Exam Cheat Sheet (coming soon)

In a Right Angled Triangle, the Square of the Length of Hypotenuse Is Equal to the Sum of the Squares of the Lengths of the Other Two Sides

Pythagoras' Theorem Game

Exam Cheat Sheet (coming soon)

Theorems Related With Area - Parallelograms

Theorems Related With Area - Triangles

Theorems Related With Area Game

Exam Cheat Sheet (coming soon)

Construction of Triangles

Draw Angle Bisectors, Altitudes, Perpendicular Bisectors, and Medians in Triangles

Figures with Equal Areas

Practical Geometry - Triangles Game

Exam Cheat Sheet (coming soon)