1. Reading and writing the number names up to 9,99,999 in the Indian numeration system.
2. Identifying the place, face value and place value of the numbers up to 9,99,999 using the place value chart and commas.
3. Representing the numbers in the expanded and standard forms.
Multiplication
1. Writing the basic multiplication facts up to 100.
2. Identifying and classifying the problem structures as multiplication problem structures.
3. Identifying the different problems in multiplication and expressing them as a mathematical statement.
4. Multiplying numbers up to 3-digit numbers with a multiple of 10.
5. Finding the product of the 2-digit by 2-digit numbers using array model and area model.
6. Using the column method to multiply 2-digit numbers by 2-digit numbers and extend it to multiply 3-digit by 2-digit numbers.
7. Estimating the products of two numbers using place value and rounding off the products or factors.
Factors and Multiples
1. Identifying factors and multiples of given numbers up to 100, along with their definitions.
2. Identifying composite and prime numbers up to 100.
3. Using multiplication and division to find the factors of a given number.
4. Defining the divisibility rules of 2, 3, 5, 6, 9 and 10.
5. Using divisibility rules to find factors of numbers and check divisibility.
6. Identifying and finding common factors & multiples of numbers up to 100.
Decimals
1. Identifying decimal numbers and relating them with their corresponding fractions up to hundredth.
2. Representing the decimals pictorially using area, money and length models.
3. Identifying the place and place value of the digits in the different places up to hundredth.
4. Identifying and applying the rule for writing decimals up to tenth.
5. Writing the expanded and standard notation of the decimal numbers in both fraction form and decimal form.
6. Identifying and expressing the equivalence between decimals.
7. Comparing two or more decimals using place value and relative size using pictorial representation.
8. Adding and subtracting decimals without and with regrouping.
9. Solving contextual problems involving addition and subtraction of decimals up to 100th.
Length
1. Estimating and measuring objects using cm, mm, metre by following correct procedures to measure the objects.
2. Identifying objects of different lengths from the surroundings.
3. Estimating and selecting appropriate units to measure the length of objects.
4. Doing conversions between units using multiplication and division.
5. Adding and subtracting the length of objects expressed in similar and different units.
Capacity
1. Perceiving the capacity as some space that the containers have or occupy.
2. Expressing the capacity/volume of liquids in litres and millilitres.
3. Doing conversions between millilitres and litres using multiplication and reasoning.
4. Recognizing the conservation of capacity when the liquids are poured in different containers of different height and width.
5. Adding and subtracting the length of objects expressed in similar and different units.
Time
1. Reading the time to the next hour.
2. Reading the time to the exact minute.
3. Showing different times in the clock.
4. Finding the difference between the two given times.
5. Plotting the days on a timeline.
6. Calculating the elapsed days.
7. Identifying the time in the 24-hour clock.
8. Calculating the duration of time passed.
9. Finding the finishing time of activity.
Number Relation
1. Comparing two or more numbers up to 9,99,999.
2. Arranging the numbers in ascending or descending order.
3. Writing the predecessor or successor of a given number up to 9,99,999.
4. Building the smallest or greatest 4-digit or 5-digit numbers using given digits, with and without repeating the digits.
5. Writing 1 more/1 less, 10 more/10 less, 100 more/less, 1000 more/less than a given number.
6. Estimating the relative position of the numbers on the number line.
7. Rounding off the given numbers to the nearest tens, hundreds and thousands.
8. Identifying and extending the numerical and pictorial patterns.
Division
1. Writing the basic division facts up to 100.
2. Identifying and classifying the problem structures as division problem structures.
3. Solving division problems using area models (with and without remainders).
4. Distributing equally the objects in groups using concrete materials as well as pictorially.
5. Identifying the different problems in division and expressing them as mathematical statements.
6. Divide multiples of 10, 100, and 1,000 by 1-digit numbers.
7. Understanding the division algorithm by using part division of numbers up to 3 digits by 1 digit.
8. Dividing 3-digit numbers by 1-digit and 2-digit numbers using formal algorithms and interpreting the quotients, remainders, dividend and divisors.
9. Solving contextual problems using formal algorithms and interpreting the results.
10. Identifying and expressing the properties of multiplication and division (commutative and associative, multiplication identity, division by zero).
11. Problem-solving using all the four operations.
12. Expressing the multiplication and division facts and relationship between them.
Shapes and Spatial Understanding
1. Identifying 2D shapes and developing the vocabulary to describe the attributes.
Lines, Line Segment, Rays and types of Lines
1.Identifying and differentiating between straight and curved lines.
2. Identifying and naming the line, line segment and ray using appropriate symbols.
3. Identifying and categorizing the lines as parallel lines, intersecting lines and perpendicular lines.
Symmetry
1. Identifying and defining symmetry in 2D shapes.
2. Identifying symmetry in common objects.
3. Identifying lines of symmetry as horizontal, vertical or diagonal.
4. Categorizing common objects as symmetric or not symmetric.
5. Identifying and drawing lines of symmetry in different objects.
6. Completing the wholes when the parts and the lines of symmetry are also given.
Area
1. Identifying the conditions for something to have an area and using this to identify the shapes that have an area.
2. Finding area by counting squares, circles or triangles in a given shape.
3. Developing reasoning to use the squares as the better unit for measuring area.
4. Using squares to find the area of shapes (regular and irregular) by counting the squares method and approximating the area of the triangle.
5. Deriving formula for the area of squares & rectangle and using it to find their area.
6. Reasoning that the shapes with the same perimeter can have different areas and shapes with the same area can have different perimeters.
7. Solving contextual problems on area and perimeter.
Money
1. Solving practical one-step and two-step problems involving the addition, subtraction, multiplication and simple division of different amounts of money.
Roman Numbers
1. Identifying and writing Roman numbers and numerals till 1000.
Addition and Subtraction
1. Adding and subtracting up to 5-digit numbers using the column method.
2. Making a question for a required sum or difference.
3. Drawing a picture to show an addition or subtraction problem (including story sums).
4. Writing a mathematical story for an addition or subtraction problem.
5. Estimating the sums and differences between two or more numbers.
6. Identifying the contexts relating to addition and subtraction.
7. Solving context-free calculations mentally and using algorithms.
8. Developing fluency with basic addition and subtractions facts.
Fractions
1. Identifying the whole and the parts in contexts involving area, discrete models, etc.
2. Representing the common fractions like half, fourth, third, fifth pictorially using the area model.
3. Representing the common fractions like half, fourth, third and fifth on the number line.
4. Identifying and representing the situations involving part-whole, measurement and division problems to interpret numerator and denominator.
5. Identifying proper and improper fractions.
6. Converting improper fractions to mixed numbers and vice-versa.
7. Identifying, representing and finding equivalent fractions using pictures (all the models like area, measurement, and division operation).
8. Comparing two fractions using pictures and symbols when numerators are the same and when denominators are the same.
9. Predicting fractions that lie between two whole numbers.
10. Identifying and forming relationships between the fractions.
11. Finding the fraction of a whole number.
12. Identifying like and unlike fractions.
13. Adding and subtracting like fractions using pictures and symbols.
14. Solving contextual problems on fractions.
Circle
1. Identifying and defining the circle as a shape which is made by drawing equal distances from a fixed point.
2.Identifying and naming the different parts of a circle like radius, diameter, chord, circumference and centre.
3. Finding the radius if the diameter is given and vice versa.
Polygons
1.Identifying open and closed shapes.
2. Identifying and drawing polygons (up to decagon) and naming their parts like sides, corners etc.
Perimeter
1.Defining the perimeter of the closed figures.
2. Finding the perimeter of the rectilinear figures like squares, rectangles, triangles and composite shapes by adding the length of all the parts.
3. Deriving and using a general formula for finding the perimeter of regular and irregular polygons till decagon.
Weight
1.Estimating the weight of the commonly seen/available objects in grams and kilograms.
2. Using the metric system of unit conversion and expressing relationships between the units (kg to gram, gram to mg and so on).
3. Solving contextual problems using different operations like addition, subtraction, multiplication etc.).
Data Modelling
1.Collecting, organising and representing data using pictograms, block graphs, bar charts and bar-line graphs.
2. Reading and interpreting bar-line graphs and simple pie charts.
3. Using data sets to solve and complete practical tasks and problems.