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Standard VIII Mathematics – Content List

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SUBJECT TOTAL TOPIC TOTAL DURATION

Mathematics 169 07.02.26

TOTAL 169 07.02.26

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TERM TOTAL TOPIC TOTAL DURATION

Mathematics 169 07.02.26

Term - 01 62 02.29.24

Term - 02 107 04.33.02

TOTAL TOPICS 169 07.02.26

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Mathematics

Topic Name Duration

Term - 01

Chapter 01: Rational Numbers

1. Introduction to Rational Numbers 00.06.40

2. Rational Number: Introduction 00.00.51

3. Number System: Revision 00.00.43

4. Properties of Addition of Rational Numbers 00.02.56

5. Properties of multiplication of rational numbers 00.06.00

6. Properties of Real Numbers: Closure and Commutative 00.04.46

7. Properties of Real Numbers: Associative Law and Existence of Identity

00.03.49

8. Properties of Real Numbers: Existence of Inverse and Distributive Property

00.02.57

9. Properties of unknown numbers 00.01.09

10. Rational Numbers on the Number Line and their Order Relationship

00.01.33

11. Representing numbers on number line: Example 00.01.35

12. Equality of two rational numbers 00.01.33

Chapter 02: Linear Equations in One Variable

1. Solving a linear equation (Example) 00.01.24

2. Solving linear equation 00.00.44

3. Solve the linear equation: 2x + 7/2 = 9/2 00.04.05

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Mathematics

Topic Name Duration

4. Solving a Linear Equation in One Variable (Balancing Method)

00.04.08

5. Solving Linear Equations 00.00.00

6. Application of linear equation (age and number problem)

00.01.30

7. Word problem on linear equation (Age) 00.01.12

8. Word problem on linear equation 00.03.45

9. Application: linear equation in one variable 00.02.04

10. Solving a Linear Equation in One Variable: Illustrations 00.01.30

Chapter 03: Understanding Quadrilaterals

1. Quadrilateral 00.04.02

2. Introduction to Polygons 00.04.36

3. Convex and Concave Quadrilaterals 00.03.15

4. On convex quadrilateral (Theorem) 00.01.07

5. Regular Polygons 00.00.00

6. Angles in a Polygon 00.03.59

7. Exterior Angles of a Polygon 00.03.56

8. Types of Quadrilaterals 00.03.35

9. Theorems about parallelograms 00.02.22

10. Parallelogram and its Properties 00.05.37

11. Property of Angles of a Parallelogram: Illustration 00.02.59

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Mathematics

Topic Name Duration

12. Property of the Diagonals of a Rhombus 00.02.35

13. Understanding Quadrilaterals: Rectangle and Rhombus 00.02.35

Chapter 04: Practical Geometry

1. Construction of a Quadrilateral: Given Four Sides and a Diagonal

00.06.14

2. Construction of a Quadrilateral: Given Three Sides and Two diagonals

00.03.21

3. Construction: Quadrilateral 00.00.00

4. Construction of quadrilateral (Two adjacent sides and three angles are known)

00.00.00

5. Construction of a Quadrilateral (Three adjacent sides and two angles are known)

00.00.00

6. Construction: Rectangle and Square 00.00.00

7. Construction: Rhombus and Kite 00.00.00

Chapter 06: Squares and Square Roots

1. Squares and Square Roots 00.02.58

2. Some more Interesting Patterns of Perfect Squares 00.00.00

3. Method of finding square root 00.03.05

4. The method of division to find square root 00.01.59

5. Verification of a perfect square 00.01.58

6. Perfect Squares: Illustrations 00.02.39

7. Verification of a perfect square (Rules) 00.01.42

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Mathematics

Topic Name Duration

8. Verification of a Perfect Square (Number ending in 5) 00.02.35

9. Verification of a perfect square (Example) 00.01.48

10. Perfect Squares and their Square Roots 00.01.38

11. Square-root of a fraction 00.03.10

12. Finding square root: Example 00.01.00

13. Square root of a number upto two decimal places 00.01.26

Chapter 07: Cubes and Cube Roots

1. Cube and cube roots 00.04.21

2. Finding Cube Roots 00.04.21

3. Cubes and Cube roots 00.00.00

4. Some Interesting Pattern (Cube and Cube root) 00.00.00

5. Cube roots of rational numbers 00.00.41

6. Cube roots of smaller number 00.04.28

7. Cube Root of a Number 00.04.28

Term - 02

Chapter 05: Data Handling

1. Introduction to Graphs 00.06.00

2. Reading a Bar Graph 00.02.38

3. The classification of qualitative data and quantitative data

00.01.10

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Mathematics

Topic Name Duration

4. Frequency of Data: Illustration 00.06.47

5. Classification of quantitative data and frequency distribution

00.01.06

6. Tally Marks 00.04.04

7. Introduction to Bar Graph 00.04.21

8. Pie Chart 00.03.36

9. Construction:Pie Chart 00.00.00

10. Reading a pie-chart 00.03.29

11. Introduction to Probability 00.05.01

Chapter 08: Comparing Quantities

1. Ratio 00.00.41

2. Discount and Percentage 00.03.05

3. Profit and Loss 00.03.26

4. Profit and loss percent 00.01.40

5. Profit and loss 00.01.27

6. To find sale price 00.02.11

7. Example - 6 00.01.54

8. Cost price, sale price, profit and loss 00.01.48

9. Simple and Compound Interest 00.03.16

10. Compound interest 00.00.31

11. Comparison of Simple and Compound Interest 00.02.49

12. Compound interest and amount 00.01.59

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Mathematics

Topic Name Duration

13. Compound interest Example 00.02.37

14. Simple and compound interest: Illustration 00.02.33

15. Rate Compounded Annually and Half-Yearly 00.00.00

Chapter 09: Algebraic Expressions and Identities

1. Algebraic Expressions 00.07.05

2. Monomial, Binomial, and Trinomial 00.03.02

3. Introduction to Polynomials 00.06.21

4. Like and unlike terms 00.03.02

5. Addition of polynomials 00.01.29

6. Addition of Polynomials 00.00.00

7. Subtraction of polynomials 00.00.57

8. Addition and Subtraction of Polynomials 00.04.40

9. Multiplying a Monomial by a Monomial 00.00.00

10. Multiplication of Polynomials 00.00.00

11. Multiplying a Monomial by a Polynomial 00.00.00

12. (a + b)² 00.01.48

13. Expansion of (a + b)² 00.04.15

14. Expansion of (a - b)² 00.02.37

15. Examples of (a + b)² and (a - b)² 00.02.42

16. a² - b² 00.02.39

17. (a - b)² 00.02.13

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Mathematics

Topic Name Duration

Chapter 10: Visualising Solid Shapes

1. Visualizing Solid Shapes 00.03.47

2. Introduction to a Prism 00.05.31

3. Introduction to Pyramid 00.04.32

4. Pyramids 00.02.16

5. Visualization of 3D Shapes 00.00.00

6. Prism 00.02.21

7. Euler's Formula 00.00.00

Chapter 11: Mensuration

1. Area of Trapezium: Illustration 00.05.19

2. Area of a Quadrilateral 00.00.00

3. Regular Polygons 00.00.00

4. Congruent and Similar Solids 00.00.00

5. Surface Area of Rectangular Solids 00.04.26

6. Surface Area of a Cylinder 00.04.18

7. Surface area of a cylinder: Illustrations 00.01.47

8. Surface Area of a Cylinder 00.01.05

9. Surface area of a cylinder: Examples 00.02.20

10. Surface area of a cylinder: Practical problems 00.06.33

11. Volume of a Solid 00.03.55

12. Volume of a Cylinder: Introduction 00.03.59

13. Practical problems involving volumes of a cylinders (ii) 00.03.49

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Mathematics

Topic Name Duration

14. Practical problems of volume (godown and tin) 00.02.15

15. Practical problems of volume 00.03.57

16. Application of Mensuration - Cylinder 00.03.13

17. Volume 00.00.45

Chapter 12: Exponents and Powers

1. Index of a number 00.01.50

2. Zero and negative integral indices 00.04.51

3. Exponent Rule: Law of Division 00.01.50

4. Role of exponents: Illustration 00.00.51

5. Role of exponents (Example) 00.02.30

6. Exponent Rule (Power Rule) 00.01.50

7. Exponent Rule: Multiplication and Division 00.04.13

8. Law of multiplication 00.01.25

9. Numbers in Standard Form 00.00.00

Chapter 13: Direct and Inverse Proportions

1. Proportion 00.04.42

2. Direct and Inverse Proportion 00.03.53

Chapter 14: Factorisation

1. Method of Obtaining a Factor: Example 00.02.02

2. Method of Obtaining a Factor: Illustration 00.02.23

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Mathematics

Topic Name Duration

3. Factors of a Trinomial 00.02.40

4. Factorization of Algebraic Expressions 00.00.45

5. Difference of two square terms 00.00.38

6. Factors of difference of two squares 00.02.35

7. Factorization Using Algebraic Identities 00.02.54

8. Factors of the difference of two perfect squares (illustrations)

00.01.12

9. Factorize (Difference of two squares): Examples 00.02.02

10. Factorize (Difference of two squares):Illustrations 00.02.07

11. Factorize (Difference of two squares): Illustration 00.01.34

12. Factorizing Polynomial by writing it as a Difference of Two Squares

00.03.27

13. Factorization method: illustration 00.04.08

14. Examples of (a + b)² and (a - b)² 00.02.42

15. To divide a monomial by a monomial 00.01.55

16. To divide a Polynomial by a monomial 00.02.28

17. To divide a Polynomial by a Polynomial 00.00.54

Chapter 15: Introduction to Graphs

1. Introduction to Graphs 00.06.00

2. Drawing a Bar Graph 00.01.02

3. Reading a Bar Graph 00.02.38

4. Pie Chart 00.03.36

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Mathematics

Topic Name Duration

5. Cartesian Coordinate System 00.06.43

6. Plotting a linear Graph 00.00.00

7. Cost price, sale price, profit and loss 00.01.48

8. Simple interest 00.00.58

Chapter 16: Playing with Numbers

1. Numbers in General Form 00.00.00

2. Test for Divisibility by 10 00.01.26

3. Test for Divisibility by 3 00.03.34

4. Test for Divisibility by 9 00.03.49

TOTAL TOPIC IN VIII MATHEMATICS – 169 07.02.26