## Pakistan Best Smart Syllabus Exam Prep Program

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## Sindh Smart Syllabus - Grade 09

 Date Topic Lesson Lesson Object

## 18

Sindh Smart Syllabus PDF

## 25

Important Sets

Sets in Descriptive, Tabular, and Set Builder Forms

Empty and Singleton Sets

Finite and Infinite Sets

Equal and Equivalent Sets

Proper and Improper Subsets of a Set

Power Set of a Set

Operations on Sets

Commutative Law With Respect to Union and Intersection

Associative Law With Respect to Union and Intersection

Distributive Law of Union Over Intersection

Distributive Law of Intersection Over Union

De Morgan's Law I

De Morgan's Law II

Use Venn Diagram to Represent Union, Intersection, and Complement of Sets

Ordered Pairs and Cartesian Products

Binary Relation

Function and Its Domain, Co-domain, and Range

Surjective Function

Injective Function

Bijective Function

Cartesian Plane and Linear Graphs

Draw a Graph From a Given Table of Values

## 1

Real Numbers and Terminating and Non-terminating Recurring Decimals

Properties of Real Numbers Under Addition

Properties of Real Numbers Under Multiplication

Properties of Equality of Real Numbers

Properties of Inequalities of Real Numbers

Base, Exponent, and Value

Laws of Exponents

Introduction to Surds and Types of Surds

Multiplication and Division of Surds

Rationalize the Denominators and Evaluate Second Order Surds

## 8

Introduction to Logarithms

Characteristic and Mantissa of a Common Log of a Number

Use Tables to Find the Log of a Number

Introduction to Anti-Logarithms

Application of the Laws of Logarithms

## 15

Constant, Variable, Literal and Algebraic Expression

Polynomials

Rational Expressions

Multiply and Divide a Polynomial by a Linear Polynomial

Formula: Formula: Formula: Formula: Formula: or Formula: Find the Value of When and Are Given and Vice Versa

Find the Value of When and Are Given

Find the Value of When and Are Given

Formula: Find the Value of Given or and Formula: ## 22

Factorise Factorise Factorise Factorise HCF by Factorisation

LCM by Factorisation

Relationship Between HCF and LCM

Real Life Problems Related to HCF and LCM

Square Root of Algebraic Expressions

## 1

Introduction to Matrices

Types of Matrices

Properties of Addition and Subtraction of Matrices

Multiplication of Matrices

Associative Law Under Multiplication

Distributive Laws Under Multiplication Over Addition and Subtraction

Commutative Law Under Multiplication

Multiplicative Identity of a Matrix

Multiplicative Inverse of a Matrix and Inverse Property

Solution of Simultaneous Linear Equations

## 8

Understand the Terms Point, Line, Concurrent Lines, and Plane

Supplementary Angles and Vertically Opposite Angles

## 15

If Two Lines Intersect Each Other, Then the Opposite Vertical Angles Are Congruent

Classification of Triangles According to Sides and Angles

Congruent Figures and Their Properties

Congruency Between Two Triangles

An Exterior Angle of a Triangle Is Greater in Measure Than Either of Its Opposite Interior Angles

Types of Angles Formed When a Transversal Intersects Two Parallel Lines

Properties of Parallel Lines Related to Transversals

If a Transversal Intersects Two Lines and the Alternate Angles Are Congruent, the Lines Are Parallel

If a Transversal Intersects Two Parallel Lines the Alternate Angles So Formed Are Congruent