FLOW CHARTS MATHEMATICS 6 (PTB) BY SH. M. TARIQ RAFIQUE (GOHAR PUBLICATIONS)

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FLOW CHARTS MATHEMATICS 6 (PTB) BY SH. M. TARIQ RAFIQUE (GOHAR PUBLICATIONS)

 CH1 SETS P:3-13

1.1 INTRODUCTION

 

1.1.1 set notations

1.1.2 describing a set

 

1.2 TYPES OF SETS

 

1.2.1 finite & infinite sets

1.2.2   empty set /null set

1.2.3 singleton set

1.2.4 equal and equivalent set

1.2.5 subset and superset of a set

1.2.6 proper and improper subset of a set

 

CH 2 WHOLE NUMBERS P:14-24

2.1 INTRODUCTION

2.1.1 natural and whole numbers

2.1.2 whole numbers and number line

 

2.2 ADDITION SUBRACTION OF WHOLE NUMBERS

2.2.1 Laws of addition

Commutative law

Associative law

2.2.2 additive identity

 

2.3 MULTIPLICATION AND DIVISION OF WHOLE NUMBERS

2.3.1 laws o multiplication

Commutative law

Associative law

 

2.4 MULTIPLICATION OVER ADDITION SUBTRACTION OF WHOLE NUMBERS

2.4.1multiplicative identity

 

CH:3 FACTORS AND MULTIPLES P:25-44

3.1 FACTORS AND MULTIPLES

3.1.1 factors

3.1.2 multiples

3.1.3 Types of natural numbers

 

3.2 TESTS OF DIVISIVIBILITY

 

3.3 FACTORIZATION

3.3.1index notation

 

3.4 HIGHEST COMMON FACTORS (HCF)

 

3.4.1HCF by prime factorization method

3.4.2 HCF by long division method

 

3.5 LEAST COMMON MULTIPLE (LCM)

 

3.5.1 LCM  by prime factorization method

3.5.2 LCM  by long division method

3.5.3 relation b/w HCF and LCM of two numbers

 

3.6 APPLICATION OF HCF & LCM

CH:4 INTEGERS P:45-57

4.1 INTEGERS

4.1.1 positive integers

4.1.2 negative integers

4.2 ORDERING OF INTEGERS

4.3 ABSOLUTE OR NUMERICAL VALUE OF AN INTEGER

4.4 ADDITION OF INTEGER

4.5 SUBTRACTION OF INTEGER

4.6 MULTIPLICATION OF INTEGER

4.7 DIVISION OF INTEGER

4.7.1 division of an integer by ‘0’ is not possible

 

Ch:5 SIMPLIFICATION P:58-64

5.1 INTRODUCTION

5.1.1BODMAS rule

5.1.2  word problems

 

CH:6 RATIO & PROPORTION P:65-73

6.1 RATIO

6.2 PROPORTION

6.2.1direct proportion

6.2.2 inverse  proportion

 

Ch:7 FINANCIAL ARITHMETIC P:74-85

7.1 PERCENTAGE

7.1.1 some basic concepts of percentage

Fraction, decimal, ratio and percentage

Using percentage

word problem

7.2 PROFIT ,LOSS AND DISCOUNT

7.2.1 Discount

 

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