Topics
Numbers
- Concept for Natural Numbers
- Concept for Whole Numbers
- Concept of Integers
- Concept of Rational Numbers
- Rational Numbers on a Number Line
- Decimal Representation of Rational Numbers
- Positive and Negative Rational Numbers
- Equivalent Rational Number
- Rational Numbers in Standard Form
- Comparison of Rational Numbers
- Rational Numbers Between Two Rational Numbers
- Addition of Rational Number
- Additive Inverse of Rational Number
- Subtraction of Rational Number
- Multiplicative Inverse
- Division of Rational Numbers
- Word Problems on Rational Numbers (All Operations)
- Properties of Rational Numbers
- Closure Property of Rational Numbers
- Commutative Property of Rational Numbers
- Associative Property of Rational Numbers
- Distributive Property of Multiplication Over Addition for Rational Numbers
- Identity of Addition and Multiplication of Rational Numbers
- Reciprocal Or Multiplicative Inverse of Rational Numbers
- Concept of Square Number
- Properties of Square Numbers
- Concept of Square Roots
- Finding Square Root Through Prime Factorisation
- Finding Square Root by Division Method
- Finding the Square Root of a Perfect Square
- Square Root of Decimal Numbers
- Square Root of Product and Quotient of Numbers
- Estimating Square Root
- Concept of Cube Number
- Properties of Cubes of Numbers
- Concept of Cube Root
- Cube Root Through Prime Factorisation Method
- Concept of Exponents
- Numbers with Exponent Zero, One, Negative Exponents
- Expanded Form of Numbers Using Exponents
- Multiplying Powers with the Same Base
- Dividing Powers with the Same Base
- Taking Power of a Power
- Multiplying Powers with Different Base and Same Exponents
- Dividing Powers with Different Base and Same Exponents
- Expressing Large Numbers in the Standard Form
Measurements
- Measurements
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Arc, Segment, Sector
- Central Angle and the Measure of an Arc
- Length of an Arc
- Area of the Sector
- Perimeter of a Sector
- Perimeter and Area of Combined Shapes
- Three Dimensional Shapes
- Faces, Edges and Vertices
- Nets for Building 3-d Shapes - Cube, Cuboids, Cylinders, Cones, Pyramid, and Prism
- Drawing Solids on a Flat Surface - Isometric Sketches
- Cross Section of Solid Shapes
- Viewing Different Sections of a Solid
Algebra
- Algebraic Expressions
- Terms, Factors and Coefficients of Expression
- Like and Unlike Terms
- Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Multiplication of Algebraic Expressions
- Multiplying Monomial by Monomials
- Multiplying a Monomial by a Binomial
- Multiplying a Monomial by a Trinomial
- Multiplying a Binomial by a Binomial
- Multiplying a Binomial by a Trinomial
- Division of Algebraic Expressions
- Dividing a Monomial by a Monomial
- Dividing a Polynomial by a Monomial
- Concept of Identity
- Expansion of (a + b)2 = a2 + 2ab + b2
- Expansion of (a - b)2 = a2 - 2ab + b2
- Expansion of (a + b)(a - b)
- Expansion of (x + a)(x + b)
- Expansion of (a + b)3
- Expansion of (a - b)3
- Expansion of (x + a)(x + b)(x + c)
- Factorising Algebraic Expressions
- Factorisation by Taking Out Common Factors
- Factorisation by Taking Out the Common Binomial Factor from Each Term
- Factorisation by Regrouping Terms
- Factorisation Using Identities
- Factors of the Form (x + a)(x + b)
- Factorise Using the Identity (a + b)3
- Factorise Using the Identity (a – b)3
- Concept of Find the Error
- Linear Equation in One Variable
- Expressions with Variables
- Concept of Equation
- The Solution of an Equation
- Graph
- Cartesian System
- Co-ordinates of Points
- Quadrants and Sign Convention
- Plotting a Point in the Plane If Its Coordinates Are Given.
- Geometrical Representation of a Linear Equation by Plotting a Straight Line
- Geometrical Representation of a Linear Equation by Line Parallel to the Coordinate Axes
- Linear Pattern
- Graph of a Linear Equation in Two Variables
Life Mathematics
- Concept of Percent and Percentage
- Concepts of Cost Price, Selling Price, Total Cost Price, and Profit and Loss, Discount, Overhead Expenses and GST
- Concept of Compound Interest
- Difference Between Compound Interest and Simple Interest
- Compound Variation
- Concept of Direct Proportion
- Concept of Inverse Proportion
- Time and Work
Geometry
- Congruency of Shapes
- Similar Figures
- Congruence of Triangles
- Criteria for Congruence of Triangles
- SSS Congruence Criterion
- SAS Congruence Criterion
- ASA Congruence Criterion
- RHS Congruence Criterion
- Similarity of Triangles
- Right-angled Triangles and Pythagoras Property
- Converse of Pythagoras Theorem
- Point of Concurrency
- Median of a Triangle
- Altitudes of a Triangle
- Perpendicular Bisectors of a Triangle
- Circumcentre of a Triangle
- The Property of the Angle Bisectors of a Triangle
- Constructing a Quadrilateral When the Lengths of Four Sides and a Diagonal Are Given
- Constructing a Quadrilateral When Two Diagonals and Three Sides Are Given
- Construct a Quadrilateral When Its Four Sides and One Angle Are Given.
- Constructing a Quadrilateral When Three Sides and Two Included Angles Are Given
- Constructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known
- Constructing a trapezium when its three sides and one diagonal are given
- Constructing a Trapezium When Its Three Sides and One Angle Are Given
- Constructing a Trapezium When Its Two Sides and Two Angles Are Given.
- Constructing a Trapezium When Its Four Sides Are Given.
- Constructing a Parallelogram When Its Two Adjacent Sides and One Angle Are Given.
- Constructing a Parallelogram When Its Two Adjacent Sides and One Diagonal Are Given.
- Constructing a Parallelogram When Its Two Diagonals and One Included Angle Are Given.
- Constructing a Parallelogram When Its One Side, One Diagonal and One Angle Are Given.
- Construction of a Rhombus When One Side and One Diagonal Are Given.
- Construction of a Rhombus When One Side and One Angle Are Given.
- Construction of a Rhombus When Two Diagonals Are Given.
- Construction of a Rhombus When One Diagonal and One Angle Are Given.
- Construction of a Rectangle When Its Length and Breadth Are Given.
- Construction of a Rectangle When a Side and a Diagonal Are Given.
- Construction of a Square When Its Side is Given.
- Construction of a Square When Its Diagonal is Given.
Statistics
Information Processing
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