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

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## Federal Smart Syllabus - Grade 09

 Date Topic Lesson Lesson Object

## 18

Federal Smart Syllabus PDF

## 18

Equality of two Matrices

Negative and Transpose of a Matrix

Addition and Subtraction of Matrices

Multiplication of Matrices

Verify the result

Solution of Simultaneous Linear Equations

## 25

Terminating and Non-terminating Recurring Decimals

Properties of Real Numbers

Transformation Between Radical and Exponential Form

Laws of Exponents

Complex Numbers

Basic Operations on Complex Numbers

## 1

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

## 8

Sum, Difference, and Product of Rational Expressions

Division of Rational Expressions

Value of an Algebraic Expression at Some Particular Real Number

Formula:

Formula:

Formula: https://www.knowledgeplatform.com.pk/wp-content/uploads/2021/01/Picture5.png

Addition and Subtraction of Surds

Multiplication and Division of Surds

Rationalize the Denominators and Evaluate Second Order Surds

Rationalize Complex Denominators

## 15

Factorise

Factorise

Factorise

Factorise

Factorise or

Factorise

Factorise

Factorise or or

Factorise

Factorise

Remainder Theorem

Use Factor Theorem to Factorise a Cubic Polynomial

## 22

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

## 1

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

## 8

Drawing Graphs

Solution of Simultaneous Linear Equations in Two Variables Using Graphical Method

## 15

Distance Formula

Collinear and Non-Collinear Points - Triangles

Show That Given Three Points Are Collinear in a Plane

Show That the Given Three Non-Collinear Points Form an Equilateral Triangle

Show That the Given Three Non-Collinear Points Form an Isosceles Triangle

Show That the Given Three Non-Collinear Points Form a Right-Angled Triangle

Collinear and Non-Collinear Points - Parallelogram

Midpoint Formula

Application of Distance and Midpoint Formulae

## 22

Congruency of Two Triangles Based on ASA

Congruency of Two Triangles Based on SSS

Congruency of Two Triangles Based on HL

## 29

Properties of Parallelograms

## 5

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

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

## 12

If Two Sides of a Triangle Are Unequal in Length, the Longer Side Has an Angle of Greater Measure Opposite to It

## 19

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

## 26

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

## 3

Theorems Related With Area - Parallelograms

Theorems Related With Area - Triangles

## 10

Construction of Triangles

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

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