## Pakistan’s Best Smart Syllabus Exam Prep Program!

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## Federal Smart Syllabus - Grade 10

 Date Topic Lesson Lesson Object

## 25

Federal Smart Syllabus PDF

## 25

Solution of a Quadratic Equation in One Variable by Factorisation

Solution of a Quadratic Equation in One Variable by Completing Square

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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

## 1

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 Sum of the Squares of Roots Is Equal to a Given Number

Values of Unknowns Involved in a Given Quadratic Equation When Roots Differ by a Given Number

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

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:

Introduction to Synthetic Division

Using Synthetic Division when Zeros of a Polynomial are Given

Using Synthetic Division when Factors of a Polynomial are Given

Using Synthetic Division to Solve a Biquadratic Equation

Solution of Simultaneous Equations with One Linear and One Quadratic Equation

## 8

Ratio, Proportions, and Variations

3rd, 4th, and Mean Proportional

Theorems on Proportions

Joint Variations

K-Method

Real Life Problems Based on Variations

## 15

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

## 22

Operations on Sets

De Morgan's Laws

Use Venn Diagram to Verify De Morgan's Laws

Ordered Pairs and Cartesian Products

Binary Relation

Into Function

Injective Function

Surjective Function

Bijective Function

## 1

Histograms

Frequency Polygon

Arithmetic Mean

Median, Mode, Geometric Mean, and Harmonic Mean

Properties of Arithmetic Mean

Range, Variance, and Standard Deviation

## 8

Formula for the Length of a Circular Arc

Formula for the Area of a Circular Sector

Trigonometric Identities

Angles of Elevation and Depression

## 15

Triangle Theorem:

Triangle Theorem:

## 22

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

## 29

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

## 5

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

## 12

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

## 19

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

Escribe a Circle in a Given Triangle

Draw Direct or Transverse Common Tangents to Two Equal Circles

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