#TopicConcepts coveredObjective
1AlgebraIntroduction,Variables, Constants,Denote Unknown Values, Algebraic expressions, Solve basic equations, Terms, Factors, Coefficients and Power, Like/Unlike terms, Monomials, Binomials, Trinomials, Polynomials,Review.Introduce algebra as a branch of mathematics that uses letters to represent unknowns and instrumental in solving puzzles and other problems in daily lives. Introduce variables and simple expressions involving variables and constants. Introduce more complex forms of algebraic expressions involving binomials/trinomials, polynomials. To extend the concept of linear equations to more complex equations containing linear expression on both sides.
2Algebraic Expression and Identities  
3Algebraic Expressions  
4Areas And BoundariesIntroduction, Circles, Tools like Compass, Areas, Boundaries, Estimation, Regular and irregular shapes, Review.Learners extend their concept of a circle to use geometrical means of constructing and measuring circles. The basic measurement concept of 2D shapes using square method is discussed in detail and the terms perimeters, areas are introduced.
5Comparing Quantities  
6Cubes and Cube Roots  
7Data HandlingIntroduction, Data collection and evaluation for real-life application, Methods of recording data, Graphs and Charts, Tally, Lists, Tables, Family tree, Mean, Mode, Median and Range, Scale, Probability, Histogram, Review.Introduce the concept of data, data recording and the need for organization of data and the basic data organization methods such as tally bars, pictographs and bar graphs. Extend the concept of data collection and organization to introduce methods of analysis and interpretation of data (mean, mode, median and range) and also extend the bar graph method to use scales and comparisons on bar graphs. Introduce the concept of frequency and extend the previous data representation methods to represent frequency distributions. Introduce the concept of graphs and their usage.
8Direct and Inverse Proportions  
10Exponents and Powers  
12FractionsIntroduction, Fractional Parts, Equivalent Fractions, Factorization, Prime Factors, Review.Learners are introduced to the concept of fractions and how one encounters fractions in our daily lives. (The basic fractions 1/4, 1/2. 3/4 are covered). The concept of fractions is extended beyond 1/2; 1/4 and 3/4 to dividing the objects accordingly; understanding developed for equivalent fractions; using fractions for currency/time conversions. Learner’s concept of multiplication is extended to define multiples, factors and common multiples of given numbers.
13Fractions And DecimalsIntroduction, Proper Fractions, Fractions on a Numberline, Sum/Difference, Equivalency of Like and Unlike fractions, Arithmetic operations on fractions, Decimals, Expand decimals in "place value" form upto thounsandth place, Weights, ReviewTo recollect the concept of fraction and map it to a more mathematical form. Introduce terms and types if fractions like proper, improper (mixed), equivalent, like, unlike and sorting, comparison, addition and subtraction operations on them. Introduce the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (non-recurring decimals), sorting, comparison and addition and subtraction of decimals. To reinforce the concept of fractions and decimals and introduce multiplication and division operations on them.
14Fractions, Decimals And PercentagesIntroduction, Fractions and decimals in percent form and vice-versa, Review.Elaborate on the corelation between fractions, decimalsm percentages and how they can be converted from one form to the other. To extend the concept of percentages to concepts related to transactions such as list prce/sale price/cost price, profit and loss %, sales tax, VAT and also introduce compund interest.
15GeometryIntroduction, Points, Line segments, Rays, Parallel/Intersecting lines, Vertex, Edge, Diagonal, Angles, Adjacent/linear angles, Shapes, Triangles and properties, Pythagoras theorm, Interior/Exterior angles, Radius, Circumfrance, Area, Perimeter, Tools, Practical Geometry, Congruency, Views, Quadrilateral, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon, concave/convex; regular/irregular polygons, trapeziums, parallelograms, polyhedrons, non polyhedron objects, Eulers formula, Review.Introduce geometry, basic concepts and terminologies, and basic 2D shapes. Introduce the tools to create and measure geometrical figures that can enable the children to carry out experiments and exercises in geometry. Children extend their knowledge of lines and angles and learn more the properties of lines and angles. To introduce the congruence property of 2D shapes, specifically the triangle. To be able to use geometrical tools for advanced geometrical concepts. Introducing 3D and developing the ability to visualize and depict 3D shapes in 2D form. Introduce polygons, their classification and properties.
17Introduction to Graphs  
18Linear Equations in One Variable  
19Lines and Angles  
20MeasurementIntroduction, Length, Units of Measurement, Conversion of units, Weights, Volume, Area, Estimation, Review.Introducing the concept of varying lengths, weights and volumes, their units and several measurement techniques.
21Memory And Motor  
22MensurationIntroduction, Perimeter of simple polygons, Area using Square method, formula for calculating rectangles, Circumfrance of circles, Calculate area of complex polygons, Surface areas of cubes, cuboids and cylinders, Review.Re introduce the basic concept of areas and boundaries and extended to a more mathematical form (mensuration), Develop the ability to calculate the perimeter of regular shapes such as the rectangle, square, triangles, regular polygons and areas of rectangle and squares (through a mathematical formula) and other 2D figures through square graph method. Introduce measurements of area and perimeter of advanced 2D shapes.
23MoneyIntroduction, Concept of currency, Change maker, Indian currency, practical calculations involving currency, Function of bank, Review.Introduce the learners to the concept of currency. The fact that a paper or a metal object holds value and is used for transactions. Understanding how currency is used in transactions. Should be able to apply decimal system and mental arithmetic for currency usage.
24NumbersIntroduction, Large Numbers, Decimal Numbers, Place Value, Addition, Subraction, Division, Multiplication, Box Multiplication, Ascending order, Descending order, Whole numbers, Natural numbers, Integers, Properties of Whole numbers (commutativity , associativity and distributivity), HCF, LCM, Factors, Multiples, Numberline, Review.Exploring the number system up to 1000, and arithmetic operations associated with it. Exploring addition and subtraction of 3 digit numbers (0-999) and larger numbers. Exploring multiplication and division of 3 digit numbers (0-999) and larger numbers. Learners are introduced to problems that lays the foundation of unitary method, and reinforce several mathematical concepts. To reinforce their basic arithmetic on numbers and extend it to find various ways numbers could be used in different situations and more mathematical concepts. To introduce higher order numbers starting from 1000 till 1 crore and their naming convention. Introduce the conversion of units of length. Introduce the concept of rounding off numbers. Introduce whole numbers, their properties and the arithmetic operations on them. To introduce factors and multiples of whole numbers and the related key concepts like prime numbers, HCF and LCM. To introduce advanced mathematical operations on integers. Introduce rational numbers and their properties. To extend the concept of rational numbers and their representation on the number line. Also provide activities so that the properties of rational numbers are deduced by students, using their understanding of rational numbers and the arithmetic operations on them.
25Patterns And Spatial UnderstandingIntroduction, Patterns, Symmetry, Shapes, Colours, Review.Exploring how 2-D pictures can represent 3-D objects as seen from different perspectives. Introduction to patterns and symmetry found in them. Learners develop an understanding of patterns and use it improve their analytical and logical thinking. Introduce the concept of more 3D objects, classification of angles and reflection and rotations of familiar 2D objects. The basic measurement concept of 2D shapes using square method is discussed in detail and the terms perimeters, areas are introduced. Learners apply logical thinking and spatial understanding to identify and create patterns, understand symmetry in terms of shape, color and rotation.
26Perimeter and Area  
27Playing with Numbers  
28Simple Equations  
29Squares and Square Roots  
30SymmetryIntroduction, Symmetrical and Asymmetrical 2D Figures, 3D Figures, Line of Symmetry, Reflection and Rotational Symmetry, Review.Introduce the concept of symmetry that forms a basis for more advanced concepts of reflection and symmetry, To extend the concept of symmetry to more complex 2d shapes and extend to it introduce rotational symmetry.
31The Triangle and its Properties  
33Understanding Quadrilaterals  
34Visualising Solid Shapes  
Environmental Studies (EVS)
2AnimalsIntroduction to the animal world which includes identification of animals, classification, features, birds and their features, habits, behavior, emotions , their importance in our livelihoods and the need to protect the animals.
3BirdsIntroduction to the animal world which includes identification of animals, classification, features, birds and their features, habits, behavior, emotions , their importance in our livelihoods and the need to protect the animals.
5Family And RelationshipsIntroduction to the concept of family, the relationships within the family, the features and traits that are inherited from the family, sensitivity towards people in the family, sensitivity towards people with disabilities, gender biases that can exist in family.
6FoodIntroduction to the concept of food, different types of ingredients and their sources, different types of tastes, the digestive system (high level), different methods of cooking, social concepts related to food (sharing, balanced diet).
8MapsIntroduction to the concept of directions, maps, symbols, map of India, concept of borders. Develop ability to read and draw maps.
9PlantsIntroduction to the plants, the diversity in them, their uses, appreciation of the world of plants around us, how plants grow, forests, life in forests and dependency of certain people on forest produce.
10ShelterIntroduction to the concept of shelter different types of shelters based on regions, material used for construction, the concept of a home, diversity of houses across India.
11SpaceIntroduction to space, stars, constellations.
14Travel And TransportIntroduction to the different types of transports, evolution of transports, the functions of diff transports, travel systems, exploration, fuel and fuel as a irreplenishable source of energy, space voyage, concept of gravity, exploring the stars/moons.
15WaterIntroduction to the concept of water, its need in our daily lives, need for conservation of water, water pollution, need for clean drinking water, the social concepts related to water, water cycle, sources of water, basic properties of water.