Mathematics

#  Topic  Concepts covered  Objective 
1  Algebra  Introduction,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. 
2  Algebraic Expression and Identities   
3  Algebraic Expressions   
4  Areas And Boundaries  Introduction, 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. 
5  Comparing Quantities   
6  Cubes and Cube Roots   
7  Data Handling  Introduction, Data collection and evaluation for reallife 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. 
8  Direct and Inverse Proportions   
9  Direction   
10  Exponents and Powers   
11  Factorization   
12  Fractions  Introduction, 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. 
13  Fractions And Decimals  Introduction, 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, Review  To 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
(nonrecurring 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. 
14  Fractions, Decimals And Percentages  Introduction, Fractions and decimals in percent form and viceversa, 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. 
15  Geometry  Introduction, 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. 
16  Integers   
17  Introduction to Graphs   
18  Linear Equations in One Variable   
19  Lines and Angles   
20  Measurement  Introduction, 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. 
21  Memory And Motor   
22  Mensuration  Introduction, 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. 
23  Money  Introduction, 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. 
24  Numbers  Introduction, 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 (0999) and larger numbers. Exploring multiplication and division of 3 digit numbers (0999) 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. 
25  Patterns And Spatial Understanding  Introduction, Patterns, Symmetry, Shapes, Colours, Review.  Exploring how 2D pictures can represent 3D 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. 
26  Perimeter and Area   
27  Playing with Numbers   
28  Simple Equations   
29  Squares and Square Roots   
30  Symmetry  Introduction, 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. 
31  The Triangle and its Properties   
32  Time   
33  Understanding Quadrilaterals   
34  Visualising Solid Shapes   

Environmental Studies (EVS)

#  Topic  Objective 
1  Alphabet  
2  Animals  Introduction 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. 
3  Birds  Introduction 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. 
4  Colours  
5  Family And Relationships  Introduction 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. 
6  Food  Introduction 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). 
7  Listening  
8  Maps  Introduction to the concept of directions, maps, symbols, map of India, concept of borders. Develop ability to read and draw maps. 
9  Plants  Introduction 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. 
10  Shelter  Introduction 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. 
11  Space  Introduction to space, stars, constellations. 
12  Topic1  
13  Topic2  
14  Travel And Transport  Introduction 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. 
15  Water  Introduction 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. 

