Mathematics For Grade 8

Introduction

Grade 8 math focuses on developing advanced mathematical skills and preparing students for high school level concepts. Students deepen their understanding of algebra by working with linear equations, inequalities, functions, and systems of equations. Geometry emphasizes transformations, congruence, similarity, and the Pythagorean Theorem. In statistics, students analyze data using scatter plots and examine patterns. The concepts of exponents, scientific notation, and irrational numbers are introduced, enhancing numerical reasoning. Problem-solving and critical-thinking skills are applied to real-world scenarios, creating a deeper connection between math and everyday life while building a strong foundation for future studies.

All Chapters & Topics

1.  Number Systems

• 1.1.  Rational Numbers
• 1.2.  Irrational Numbers
• 1.3.  Real Numbers
• 1.4.  Properties of Real Numbers
• 1.4.1.  Commutative Property
• 1.4.2.  Associative Property
• 1.4.3.  Distributive Property
• 1.5.  Representation on the Number Line
• 1.6.  Operations on Real Numbers
• 1.6.1.  Addition and Subtraction
• 1.6.2.  Multiplication and Division
• 1.7.  Rationalization
• 1.8.  Exponents and Powers
• 1.9.  Square Roots and Cube Roots

2.  Algebra

• 2.1.  Algebraic Expressions
• 2.2.  Identities and Simplification
• 2.2.1.  Multiplying Binomials
• 2.2.2.  Using Algebraic Identities
• 2.3.  Factorization
• 2.3.1.  Common Factors
• 2.3.2.  Factorization by Grouping
• 2.3.3.  Factorization of Trinomials
• 2.3.4.  Special Products
• 2.4.  Linear Equations in One Variable
• 2.4.1.  Solving Linear Equations
• 2.4.2.  Word Problems on Linear Equations

3.  Geometry

• 3.1.  Understanding Quadrilaterals
• 3.1.1.  Properties of Quadrilaterals
• 3.1.2.  Types of Quadrilaterals
• 3.1.2.1.  Parallelogram
• 3.1.2.2.  Rectangle
• 3.1.2.3.  Square
• 3.1.2.4.  Rhombus
• 3.1.2.5.  Trapezium
• 3.2.  Constructions
• 3.2.1.  Constructing Quadrilaterals
• 3.2.2.  Constructing Bisectors
• 3.2.3.  Constructing Angles
• 3.2.4.  Constructing Triangles
• 3.3.  Symmetry and Transformations
• 3.3.1.  Reflection
• 3.3.2.  Rotation
• 3.3.3.  Translation
• 3.3.4.  Symmetry in Patterns

4.  Mensuration

• 4.1.  Area and Perimeter
• 4.1.1.  Perimeter of Polygons
• 4.1.2.  Area of Triangles
• 4.1.3.  Area of Quadrilaterals
• 4.1.4.  Area of Circles
• 4.2.  Surface Area and Volume
• 4.2.1.  Cubes
• 4.2.2.  Cuboids
• 4.2.3.  Cylinders
• 4.2.4.  Cones
• 4.2.5.  Spheres

5.  Data Handling

• 5.1.  Organizing Data
• 5.2.  Frequency Distribution Tables
• 5.3.  Graphical Representation of Data
• 5.3.1.  Bar Graphs
• 5.3.2.  Histograms
• 5.3.3.  Pie Charts
• 5.3.4.  Line Graphs (added)
• 5.4.  Probability
• 5.4.1.  Introduction to Probability
• 5.4.2.  Experimental Probability

6.  Coordinate Geometry

• 6.1.  Cartesian Plane
• 6.2.  Plotting Points
• 6.3.  Coordinate System
• 6.4.  Distance Between Points
• 6.5.  Applications of Coordinate Geometry

7.  Introduction to Graphs

• 7.1.  Linear Graphs
• 7.2.  Applications of Graphs
• 7.3.  Distance-Time Graphs
• 7.4.  Speed-Time Graphs

8.  Comparing Quantities

• 8.1.  Ratio and Proportion
• 8.2.  Percentage
• 8.2.1.  Increase and Decrease Percent
• 8.2.2.  Discount in Percentage
• 8.2.3.  Profit and Loss in Percentage
• 8.2.4.  Simple Interest
• 8.2.5.  Compound Interest

9.  Exponents and Powers

• 9.1.  Laws of Exponents
• 9.2.  Negative Exponents
• 9.3.  Standard Form
• 9.4.  Applications of Exponents

10.  Introduction to Squares and Square Roots

• 10.1.  Properties of Square Numbers
• 10.2.  Finding Square Roots
• 10.2.1.  Prime Factorization Method
• 10.2.2.  Division Method
• 10.3.  Estimating Square Roots

11.  Introduction to Cubes and Cube Roots

• 11.1.  Properties of Cube Numbers
• 11.2.  Finding Cube Roots
• 11.2.1.  Prime Factorization Method in Finding Cube Roots