Pakistan Best Smart Syllabus Exam Prep Program

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KPK Smart Syllabus - Grade 09

Date
Topic
Lesson
Lesson Object

January

18

KPK Smart Syllabus PDF

January

25

Introduction to Matrices

Types of Matrices

Addition and Subtraction of Matrices

Properties of Addition and Subtraction of Matrices

Multiplicative Inverse of Matrix

Multiplicative Inverse of Matrix

Solution of Simultaneous Linear Equations

February

1

Real Numbers

Properties of Real Numbers

Radicals and Radicands

Base, Exponent, and Value

Laws of Exponents/ Indices

Complex Numbers

Basic Operation on Complex Numbers

February

8

Scientific Notation

Introduction to Logarithms

Characteristic and Mantissa of a Common Log of a Number

Log of a Number

Anti-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

February

15

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: or

Formula:

Formula:

Formula:

Addition and Subtraction of Surds

Multiplication and Division of Surds

Rationalize the Denominators and Evaluate Second Order Surds

Rationalize Complex Denominators

February

22

Factorise

Factorise

Factorise

Factorise

Factorise

Factorise or

Factorise

Factorise

Factorise or or

Factorise

Factorise

Remainder Theorem

Use Factor Theorem to Factorise a Cubic Polynomial

March

1

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

March

8

Solution of Linear Equations in One Variable

Solution of Equations Involving Radicals

Solution of Linear Equations Involving Absolute Value

Solution of Linear Inequalities with Rational Coefficients

March

15

Cartesian Plane and Linear Graphs

Drawing Graphs

-

March

22

Distance Formula

Collinear and Non-Collinear Points - Triangles

Collinear and Non-Collinear Points - Rectangle

Collinear and Non-Collinear Points - Parallelogram

Midpoint Formula

Application of Distance and Midpoint Formulae

March

29

In a Triangle, Sides Opposite to Congruent Angles Are Congruent

Congruency of Two Triangles Based on HL

April

5

Prove Properties of Parallelograms

Prove that a Quadrilateral Is a Parallelogram

Prove Triangle Mid-Point Properties

April

12

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

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

The Right Bisectors of the Sides of a Triangle Are Concurrent

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

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

The Bisectors of the Angles of a Triangle Are Concurrent

April

19

In a Triangle, the Longer Side Has an Angle of Greater Measure Opposite to It

In a Triangle, the Side Opposite to the Greater Angle Is Longer Than the Other Sides

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

April

26

If Two Triangles Are Similar, the Length of Their Corresponding Sides Are Proportional

May

3

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

If the Square of One Side of a Triangle Is Equal to the Sum of the Squares of the Other Two Sides, Then the Triangle Is a Right-Angled Triangle

May

10

Parallelograms on the Same Base and Between the Same Parallel Lines Are Equal in Area

May

17

Construction of Triangles

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

October

15

Physical quantites - base and derived

January

18

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

April

26

Physical quantites - base and derived

May

3

Physical quantites - base and derived

May

10

Physical quantites - base and derived

May

17

Physical quantites - base and derived

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