Class 8th Mathematics With Coding and AI

Class 8th Mathematics Course With Coding and AI (12 Weeks):-
Module 1: Rational Numbers
Introduction to rational numbers
Positive and negative rational numbers
Representation on the number line
Comparing rational numbers
Equivalent rational numbers
Standard form
Addition and subtraction
Multiplication and division
Properties of rational numbers
Rational number word problems
Module 2: Exponents & Powers
Revision of exponents
Laws of exponents
Multiplication and division of powers
Powers with negative exponents – introduction
Powers of 10
Standard form/scientific notation
Simplifying expressions with exponents
Module 3: Squares, Cubes & Roots
Square numbers
Perfect squares
Finding square roots
Cube numbers
Perfect cubes
Finding cube roots
Patterns in squares and cubes
Applications of square and cube roots
Module 4: Algebraic Expressions & Identities
Variables, constants, terms and coefficients
Like and unlike terms
Addition and subtraction of expressions
Multiplication of algebraic expressions
Algebraic identities
Using identities for simplification
Evaluating algebraic expressions
Factorisation – basic introduction
Module 5: Linear Equations
Revision of simple equations
Linear equations in one variable
Equations with brackets
Equations involving fractions
Equations involving decimals
Transposition of terms
Forming equations from word problems
Applications of linear equations
Module 6: Comparing Quantities
Ratio and proportion revision
Percentage
Percentage increase and decrease
Profit and loss
Discount
Cost price and selling price
Simple interest
Compound interest – introduction
Tax/GST – basic introduction
Real-life commercial problems
Module 7: Direct & Inverse Proportion
Understanding proportion
Direct proportion
Inverse proportion
Unitary method
Identifying direct and inverse relationships
Real-life applications
Word problems
Module 8: Geometry – Lines & Angles
Revision of lines and angles
Parallel lines and transversals
Angle relationships
Complementary and supplementary angles
Interior and exterior angles
Solving angle-based problems
Module 9: Understanding Quadrilaterals
Polygons
Types of quadrilaterals
Properties of quadrilaterals
Parallelogram
Rectangle
Square
Rhombus
Trapezium
Angle sum property
Diagonals and their properties
Module 10: Practical Geometry
Construction of angles
Construction of triangles
Construction of quadrilaterals
Using ruler and compass
Geometrical constructions
Accuracy and measurement
Module 11: Mensuration
Perimeter and area revision
Area of quadrilaterals
Area of trapezium
Area of triangles
Area of composite figures
Surface area – introduction
Volume of cubes and cuboids
Unit conversion
Real-life mensuration problems
Module 12: Data Handling & Statistics
Collection and organization of data
Frequency tables
Grouped data – introduction
Bar graphs
Double bar graphs
Histograms
Pie charts – introduction
Mean
Median
Mode
Interpretation of data
Module 13: Probability – Introduction
What is probability?
Certain and impossible events
Likely and unlikely events
Simple experimental probability
Probability using coins, dice and cards
Basic probability problems
Module 14: Coordinate Geometry
Introduction to coordinate geometry
Cartesian plane
X-axis and Y-axis
Origin
Coordinates of points
Plotting points
Reading coordinates from a graph
Simple coordinate-based problems
Module 15: Graphs & Patterns
Reading graphs
Plotting data
Linear patterns
Number sequences
Algebraic patterns
Tables and graphs
Real-life graphs
Module 16: Factorisation
Factors of algebraic expressions
Common factors
Factorisation by taking common factors
Factorisation using simple identities
Simplifying algebraic expressions
Factorisation-based problems
Module 17: Logical Reasoning & Problem Solving
Number puzzles
Algebraic puzzles
Logical reasoning
Coding and decoding
Pattern recognition
Data-based reasoning
Multi-step problems
Real-life mathematical applications

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