### Numbers and Place Value

• 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.

• 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.