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Federal Smart Syllabus - Grade 10

Date
Topic
Lesson
Lesson Object

January

25

Federal Smart Syllabus PDF

January

25

Quadratic Equation

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

February

1

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 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

Solution of Quadratic Simultaneous Equations

Solution of Real Life Problems Leading to Quadratic Equations

February

8

Ratio, Proportions, and Variations

3rd, 4th, and Mean Proportional

Theorems on Proportions

Joint Variations

K-Method

Real Life Problems Based on Variations

February

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

February

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

March

1

Histograms

Frequency Polygon

Arithmetic Mean

Median, Mode, Geometric Mean, and Harmonic Mean

Properties of Arithmetic Mean

Range, Variance, and Standard Deviation

March

8

Relationship Between Radians and Degrees

Formula for the Length of a Circular Arc

Formula for the Area of a Circular Sector

Trigonometric Identities

Angles of Elevation and Depression

March

15

Triangle Theorem:

Triangle Theorem:

March

22

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

March

29

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

April

5

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

April

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

April

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

October

15

Physical quantites - base and derived

January

25

Physical quantites - base and derived

January

25

Physical quantites - base and derived

February

1

Physical quantites - base and derived

February

8

Physical quantites - base and derived

February

15

Physical quantites - base and derived

February

22

Physical quantites - base and derived

March

1

Physical quantites - base and derived

March

8

Physical quantites - base and derived

March

15

Physical quantites - base and derived

March

22

Physical quantites - base and derived

March

29

Physical quantites - base and derived

April

5

Physical quantites - base and derived

April

12

Physical quantites - base and derived

April

19

Physical quantites - base and derived

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