Punjab Smart Syllabus PDF

Quadratic Equation

Solution of a Quadratic Equation in One Variable by Factorisation

Solution of a Quadratic Equation in One Variable by Completing Square

Solution of a Quadratic Equation by Using Quadratic Formula

Solution of the Equations of the Type

Solution of the Equations of the Type

Solution of the Reciprocal Equations of the Type

Solution of Exponential Equations Involving Variables in Exponents

Solution of the Radical Equations of the Type:

Solution of the Radical Equation of the Type:

Solution of the Radical Equation of the Type:

Quadratic Equations Game

Exam Cheat Sheet (coming soon)

Discriminant of Quadratic Equations

Nature of Roots of a Quadratic Equation Through Discriminant

Determine the Nature of Roots of a Given Quadratic Equation

Value of an Unknown Involved in a Given Quadratic Equation When the Nature of Its Roots Is Given

Properties of Cube Roots of Unity

Use Properties of Cube Roots of Unity to Solve Appropriate Problems

Relation Between the Roots and the Coefficients of a Quadratic Equation

Values of Unknowns Involved in a Given Quadratic Equation When Sum of Roots Is Equal to a Multiple of the Products of Roots

Values of Unknowns Involved in a Given Quadratic Equation When Roots Satisfy a Given Relation

Values of Unknowns Involved in a Given Quadratic Equation When Both Sum and Products of Roots Are Equal to a Given Number

Formula to Find a Quadratic Equation From the Given Roots

Formation of a Quadratic Equation Whose Roots Are of the Type:

Formation of a Quadratic Equation Whose Roots Are of the Type:

Formation of a Quadratic Equation Whose Roots Are of the Type:

Introduction to Synthetic Division

Using Synthetic Division when Zeros of a Polynomial are Given

Using Synthetic Division to Solve a Biquadratic Equation

Solution of Simultaneous Equations with One Linear and One Quadratic Equation

Solution of Quadratic Simultaneous Equations

Solution of Real Life Problems Leading to Quadratic Equations

Theory of Quadratic Equations Game

Exam Cheat Sheet (coming soon)

Ratio, Proportions, and Variations

3rd, 4th, and Mean Proportional

Theorems on Proportions

Joint Variations

K-Method

Real Life Problems Based on Variations

Variations Game

Exam Cheat Sheet (coming soon)

Resolution of Algebraic Fractions into Partial Fractions - I

Resolution of Algebraic Fractions into Partial Fractions - II

Resolution of Algebraic Fractions into Partial Fractions - III

Resolution of Algebraic Fractions into Partial Fractions - IV

Partial Fractions Game

Exam Cheat Sheet (coming soon)

Operation on Sets

Distributive Law of Union Over Intersection

Distributive Law of Intersection Over Union

De Morgan's Laws

Use Venn Diagram to Verify De Morgan's Laws

Ordered Pairs and Cartesian Products

Binary Relation

Function and Its Domain, Co-domain, and Range

Into Function

Injective Function

Surjective Function

Bijective Function

Examine Whether a Given Relation is a Function or Not

Sets and Functions Game

Exam Cheat Sheet (coming soon)

Grouped Frequency Table

Histograms

Frequency Polygon

Cumulative Frequency Table

Cumulative Frequency Polygon

Arithmetic Mean

Median, Mode, Geometric Mean, and Harmonic Mean

Properties of Arithmetic Mean

Weighted Mean and Moving Averages

Range, Variance, and Standard Deviation

Basic Statistics Game

Exam Cheat Sheet (coming soon)

Relationship Between Radians and Degrees

Conversion of Angles

Formula for the Length of a Circular Arc

Coterminal Angles

Quadrants and Quadrantal Angles

Signs of Trigonometric Ratios in Different Quadrants

Values of Remaining Trigonometric Ratios if One Trigonometric Ratio Is Given

Values of Trigonometric Ratios for 0°, 90°, 180°, 270° and 360°

Trigonometric Identities

Angles of Elevation and Depression

Introduction to Trigonometry Game

Exam Cheat Sheet (coming soon)

Triangle Theorem:

Exam Cheat Sheet

A Straight Line, Drawn From the Centre of a Circle to Bisect a Chord Is Perpendicular to the Chord

If Two Chords of a Circle Are Congruent, Then They Will Be Equidistant From the Centre

Chords of a Circle Game

Exam Cheat Sheet

If a Line Is Drawn Perpendicular to a Radial Segment of a Circle at Its Outer End Point, It Is Tangent to the Circle at That Point

The Two Tangents Drawn to a Circle From a Point Outside It, Are Equal in Length

Exam Cheat Sheet

If Two Arcs of a Circle Are Congruent, Then the Corresponding Chords Are Equal

If the Angles Subtended by Two Chords of a Circle at the Centre Are Equal, the Chords Are Equal

Exam Cheat Sheet

The Measure of a Central Angle of a Minor Arc of a Circle, Is Double That of the Angle Subtended by the Corresponding Major Arc

Any Two Angles in the Same Segment of a Circle Are Equal

Exam Cheat Sheet

Complete the Circle When a Part of its Circumference is Given by Finding its Centre

Circumscribe a Circle About a Given Triangle

Inscribe a Circle in a Given Triangle

Draw Transverse Common Tangents to Two Equal Circles

Draw Transverse Common Tangents to Two Unequal Circles

Draw a Circle Touching Two or Three Converging Lines

Exam Cheat Sheet