CURRICULUM

Real Numbers

TOPIC
Euclid's Division Lemma
The Fundamental Theorem of Arithmetic
Find HCF and LCM of two numbers
Find LCM given HCF
Revisiting Rational Numbers and Their Decimal Expansions

Polynomials

TOPIC
Geometrical Meaning Of The Zeroes Of A Polynomial
Relationship Between Zeroes And Coefficients Of A Polynomial 28
Quadratic Equation
Division Algorithm For Polynomials

Pair Of Linear Equations In Two Variables

TOPIC
Graphical Method of Solution of a Pair of Linear Equations
Algebraic Methods of Solving a Pair of Linear Equations
Substitution Method
Elimination Method
Cross Multiplication Method

Quadratic Equations

TOPIC
Quadratic Equations
Solution of a Quadratic Equation by Factorisation
Solution of a Quadratic Equation by Completing the Square
Nature of Roots

Arithmetic Progressions

TOPIC
Introduction
Arithmetic Progressions
Nth Term Of An Ap
5.4 Sum Of First N Terms Of An Ap

Triangles

TOPIC
Similarity Of Triangles
Criteria For Similarity Of Triangles
Areas Of Similar Triangles
Pythagoras Theorem

Coordinate Geometry

TOPIC
Distance Formula
Section Formula
Area Of A Triangle
Midpoint

Introduction To Trigonometry

TOPIC
Trigonometric Ratios
given2sides_find_trignometric_ratio
Trigonometric Ratios Of Some Specific Angles
Trigonometric Ratios Of Complementary Angles
Trigonometric Identities

Some Applications Of Trigonometry

TOPIC
Heights And Distances

TOPIC
Perimeter And Area Of A Circle – A Review
Areas Of Sector And Segment Of A Circle

Surface Areas And Volumes

TOPIC
Volume Of A Combination Of Solids

Statistics

TOPIC
Mean Of Grouped Data
Mode Of Grouped Data
Median Of Grouped Data

Probability

TOPIC
Probability – A Theoretical Approach

Number Systems

TOPIC
Introduction
Real Numbers And Their Decimal Expansions
Operations On Real Numbers
Laws Of Exponents For Real Numbers

Polynomials

TOPIC
Polynomials In One Variable
Zeroes Of A Polynomial
Remainder Theorem
Factorisation Of Polynomials
Algebraic Identities

Coordinate Geometry

TOPIC
Cartesian System
Plotting A Point In The Plane If Its Coordinates Are Given

Linear Equations In Two Variables

TOPIC
Linear Equations
Solution Of A Linear Equation
Graph Of A Linear Equation In Two Variables

Lines And Angles

TOPIC
Pairs Of Angles
Parallel Lines And A Transversal
Lines Parallel To The Same Line
Angle Sum Property Of A Triangle

Triangles

TOPIC
Criteria For Congruence Of Triangles
Some Properties Of A Triangle
Some More Criteria For Congruence Of Triangles
Inequalities In A Triangle

Quadrilaterals

TOPIC
Angle Sum Property Of A Quadrilateral
Types Of Quadrilaterals
Properties Of A Parallelogram
The Mid – Point Theorem

Areas Of Parallelograms And Triangles

TOPIC
Find Area of Triangle given base and height
Find Area of Parallelogram given base and height
Find base of Triangle given height and Area
Find height of Parallelogram given base and Area
Parallelograms On The Same Base And Between The Same Parallels
Triangles on the same base and between the same parallels
Triangles on the same base and between the same parallels

Circles

TOPIC
Angle Subtended By A Chord At A Point
0
103
103
Perpendicular From The Centre To A Chord
Equal Chords And Their Distances From The Centre
Angle Subtended By An Arc Of A Circle
Cyclic Quadrilaterals
Summary

Heron's Formula

TOPIC
12.1 Introduction
Area Of A Triangle – By Heron's Formula
Area of a Triangle by Herons Formula
Application Of Heron's Formula In Finding Areas Of Quadrilaterals
12.4 Summary

TOPIC
Introduction

Statistics

TOPIC
Graphical Representation Of Data
Measures Of Central Tendency

Probability

TOPIC
Probability – An Experimental Approach

Rational Numbers

TOPIC
Properties of Rational Numbers

Linear Equations In One Variable

TOPIC
Solving Equations which have Linear Expressions on one side and numbers on the other side
Some Applications

Data Handling

TOPIC
Grouping data
Circle Graph or Pie Chart
Chance and Probability

Squares And Square Roots

TOPIC
Properties of Square Numbers
Pythagorean Triplets
Finding the Square of a number
Finding Square Root through repeated subtraction
Finding Square Root through prime factorisation
Finding Square Root by division method
Square Roots of decimals
Estimating Square Root

TOPIC
Cubes
Cube Roots

Comparing Quantities

TOPIC
Recalling Ratios and Percentages
Finding the Increase or Decrease Percent
Finding Discounts
Prices related to Buying and Selling Profit and Loss
Sales Tax value added tax
Rate compounded Annually or Half yearly Semi Annually
Applications of Compound Interest Formula

Algebraic Expressions And Identities

TOPIC
Multiplying a Monomial by a Monomial
Multiplying a Monomial by a Binomial
Multiplying a Monomial by a Trinomial
Multiplying a Polynomial by a Polynomial
Applying identities

Visualising Solid Shapes

TOPIC
Views of 3d Shapes
Faces Edges and Vertices

Mensuration

TOPIC
Area of Trapezium
Area of Special Quadrilaterals
Area of a General Quadrilateral
Surface Area of Cube Cuboid and Cylinder
Volume of Cube Cuboid and Cylinder

Exponents And Powers

TOPIC
Powers with Negative Exponents
Laws of Exponents
Use of Exponents to Express Small Numbers in Standard Form

Direct And Inverse Proportions

TOPIC
Direct Proportion
Inverse Proportion

Factorisation

TOPIC
Method of Common Factors
Factorisation by Regrouping Terms
Factorisation using Identities
Factors of the Form
Division of a Monomial by Another Monomial
Division of a Polynomial by a Monomial
Division of Algebraic Expressions Continued

Introduction To Graphs

TOPIC
A Bar Graph
A Pie Graph
A Line Graph
Linear Graphs
Some Applications

Playing With Numbers

TOPIC
Letters for Digits
Tests of Divisibility

Integers

TOPIC
Introduction of Integers
Properties of Addition and Subtraction of Integers
Multiplication of Integers
Properties of Multiplication of Integers
Division of Integers

Fractions And Decimals

TOPIC
How well have you learnt about fractions
Multiplication of a fraction by a whole number
Multiplication of a fraction by a fraction
Division of whole number by a fraction
Division of a fraction by another fraction
How well have you learnt about decimal numbers
Multiplication of decimal numbers
Division of decimal numbers

Data Handling

TOPIC
Range
Arithmetic Mean
Mode
Median
Use of bar graphs with a different purpose

Simple Equations

TOPIC
Setting up of an Equation
What Equation is
More Equations
Applications of Simple Equations to Practical Situations

Lines And Angles

TOPIC
Introduction of Lines and Angles
Related Angles
Pairs of Lines
Checking for Parallel Lines

The Triangle And Its Properties

TOPIC
Exterior Angle of a Triangle and its Property
Angle Sum Property of a Triangle
Two Special Triangles Equilateral and Isosceles
Sum of the Lengths of two sides of a Triangle
Right Angled Triangles and Pythagoras Property

Congruence Of Triangles

TOPIC
Congruence of Angles
Criteria for Congruence of Triangles
Congruence among Right Angled Triangles

Comparing Quantities

TOPIC
Introduction of Comparing Quantities
Equivalent Ratios
Percentage another way of Comparing Quantities
Use of Percentages
Prices related to an item or Buying and Selling
Charge given on borrowed money or simple interest

Rational Numbers

TOPIC
What are Rational Numbers
Positive and Negative Rational Numbers
Rational Numbers in standard form
Comparison of Rational Numbers
Rational Numbers between two Rational Numbers
Operations on Rational Numbers

Perimeter And Area

TOPIC
Squares and Rectangles
Area of a Parallelogram
Area of a Triangle
Circumference of a Circle
Area of Circle

Algebraic Expressions

TOPIC
Terms of an Expression
Like and Unlike Terms
Monomials Binomials Trinomials and Polinomials
Finding the Value of an Expression
Perimeter Formulas
Area Formulas

Exponents And Powers

TOPIC
Exponents
Multiplying Powers with the same base
Dividing Powers with the same base
Taking Power of a Power
Multiplying Powers with the same Exponents
Miscellaneous Examples using the Laws of Exponents
Expressing Large numbers in the Standard Form

Visualising Solid Shapes

TOPIC
Introduction plane figures and solid shapes
Faces Edges and Vertices
Nets for building 3D Shapes
Drawing Solids on a flat Surface
Viewing different sections of a solid

Knowing Our Numbers

TOPIC
Ascending and Descending Order of Numbers
Ascending and Descending Order of Numbers Drag and Drop
Greater and Smaller Numbers
Greater and Smaller Numbers Drag and Drop
Numbers examples 1
Numbers examples 2
Arrange Commas Drag and Drop
Find Expansion Number
Find Greater and Lower Numbers
Put Commas
Roman Numerals

Whole Numbers

TOPIC
Find whole numbers between 2 numbers
Whole Numbers Division and Multiplication
Addition Line
Properties of Additive Identity
Associative Property Multiplication
Associative Commutative Distributive Properties
Commutative Property Multiplication
Distributive Property Multiplication
Product Suitable Rearrangement
Sum Suitable Rearrangement

Playing With Numbers

TOPIC
Factors and Multiples
Tests for divisibility of numbers
Common Factors and Common Multiples
Some Problems on HCF and LCM

Basic Geometrical Ideas

TOPIC
Introduction of Basic Geometrical Ideas
Curves
Circles

Understanding Elementary Shapes

TOPIC
Introduction of Understanding Elementary Shapes
Angles acute obtuse and reflex
Measuring Angles
Classification of Triangles
Three Dimensional Shapes

Integers

TOPIC
Representation of Integers on a Number Line
Find Integers between 2 Numbers
Integer Compare
Point Number Line
Right and Left ordering of Integers
Write Integers Greater or Smaller
Addition of Integers on a Number Line
Solve 2 Numbers Addition
Solve Addition
Fill the blanks
Integer Expression Compare
Integers Subtraction Line
Solve Difference

Fractions

TOPIC
Count shaded fraction
Natural Prime two fraction
Plot the Point on Number Line
Theory one two and three Fractions
Improper fraction
Mixed fraction
Find Equavalent Fraction
Find Theory Equavalent Fraction
Simplest form of a Fraction
Check Count for Shaded Fraction
Check Equavalent Fraction
Check Theory Lessthan or Greaterthan Fraction
Equivalent Count for Shaded Fraction
Find Lessthan or Greaterthan Fraction
Addition Subtraction Fractions
Find Missing Addition Subtraction Fractions
Theory of Addition Subtraction Fractions

Decimals

TOPIC
Tenths
Hundredths
Comparing Decimals
Using Decimals
Addition of Numbers with Decimals
Subtraction of Decimals

TOPIC
Find Perimeter
Find Area

Algebra

TOPIC
Algebra examples 1
Algebra examples 2

TOPIC
Ratio examples 1
Ratio examples 2

Symmetry

TOPIC
Number of Symmetric Line
Symmetric Line
Symmetric

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