1. Writing numbers in Indian system up to crores and placing them in the place value chart.
2. Writing the numbers up to 10 millions in the International system and placing them in the place value chart.
3. Identifying face value, place value, place and period of a digit of a number up to a nine digit number.
4. Expressing a given numeral in expanded and standard forms.
5. Writing number names of a given numeral in both Indian and international systems up to 10 crores and 10 millions.
Multiplication and Division
1. Multiplying 3-digit numbers by 3-digit numbers using column method.
2. Dividing the 4-digit numbers by 2-digit numbers using long division.
3. Estimating the quotient by rounding off strategies.
4. Multiplying two or more numbers up to 3-digit by 3-digit using standard algorithm.
5. Estimating the products of two or more numbers up to 3-digit by 3 digit using round off strategies like round off factors and round off products and check the reasonableness of their answers.
6. Dividing the 4-digit numbers by 2-digit numbers by standard algorithms.
7. Solving contextual problems and interpreting the results.
8. Problem-solving using all the four operations.
1. Using metric measurement to model the decomposition of one whole into tenths.
2. Using metric measurement and area models to represent tenths as fractions greater than 1 and decimal numbers.
3. Representing mixed numbers with units of tens, ones, and tenths with place value disks and in expanded form.
4. Modelling and representing the decomposition of one whole into tenths and hundredths.
5. Modelling the equivalence of tenths and hundredths using the area model and place value disks.
6. Using the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.
7. Modelling mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.
8. Using fraction equivalence to investigate decimal numbers on the place value chart expressed in different units.
9. Using the place value chart and metric measurement to compare decimals and answer comparison questions.
10. Using area models to compare decimal numbers, and record comparisons using <, >, and =.
11. Comparing and ordering mixed numbers in various forms.
12. Performing addition with Tenths and Hundredths.
13. Adding decimal numbers by converting to fraction form.
14. Solving word problems involving the addition of measurements in decimal form.
1. Expressing the capacity of liquids in liters, and milliliters and decimal notation.
2. Doing conversions between ml and liters using multiplication and reasoning.
1. Finding Volume of cube and cuboid.
2. Solving contextual problems to find the capacity of a container.
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.
1. Identify Quadrilateral and name its sides, angles and diagonals.
1. Collecting data using observations, surveys, and experiments.
2. Representing data using tables and graphs such as line plots, bar graphs, and line graphs.
3. Recognizing the differences in representing categorical and numerical data.
4. Using measures of center, focusing on the median, and understanding data indicators.
1. Doing conversions between International and Indian systems of Numeration.
2. Comparing numbers up to 9-digits in Indian system of Numeration using place value charts.
3. Arranging the numbers in ascending or descending order using the place value.
4. Writing the predecessor or successor of a given number up to 9,99,999.
5. Writing 1 more 1 more/less, 10 more/less, 100 more/less 1000 more/ less than a given number.
6. Building the smallest and greatest number using given digits up to nine digit numbers.
7. Estimating large numbers up to ten crores with respect to real life examples.
8. Rounding off the numbers to the nearest thousand and lakhs.
9. Decompose a given number up to 1 crores in different ways.
Factors and Multiples
1. Write divisibility rules up to 20 and finding patterns in them.
2. Finding factors of numbers up to 1000 using factorisation methods.
3. Identifying prime numbers and composite numbers.
4. Finding HCF and LCM of two numbers using listing factors/multiples method.
5. Finding the HCF and LCM using the prime factorisation method.
6. Solving contextual problems based on HCF and LCM.
1. Order of operations while solving numerical expressions involving whole numbers.
2. Order of operation while solving numerical expressions involving fractions.
3. Order of operation while solving numerical expressions involving decimals.
Profit and Loss
1. Understanding the meaning of cost price, selling price, profit and loss.
2. Find loss/profit when cost price and selling prices are given.
3. Solving contextual problems related to Profit and loss.
1. Doing conversions between units using multiplication and division.
2. Writing length measure in decimal notation.
3. Adding, subtracting, multipling and dividing the length of objects expressed in similar and different units.
1. Identifying the perimeter of the figures as the boundary of closed figures by drawing the outline or boundary.
2. Finding the perimeter of the rectilinear figures like squares, rectangles, triangles and composite shapes by adding the length of all the parts.
Spatial Understanding and Geometry
1. Identifying, drawing and differentiating between points, lines, line segments, rays, and angles.
2. Using right angles to determine whether angles are equal to, greater than, or less than right angles.
3. Classifying, drawing and identifying right, obtuse, and acute angles.
4. Identifying and defining perpendicular lines as lines that make right angles with each other.
5. Identifying and defining parallel lines as lines which never meet.
1. Identifying and naming the triangles shown in different orientations.
2. Identifying and categorising the triangles based on sides as isosceles, scalene and equilateral triangles and based on angles as equilateral, right, obtuse angled and right angled triangle.
3. Analyzing and classifying triangles based on side length, angle measure, or both.
1. Reading the time to the next hour.
2. Reading the time to the exact minute.
3. Finding the difference between the two given times.
4. Plotting the days on a timeline.
5. Calculating the elapsed days, hours and minutes.
6. Identifying the time in the 24-hour clock.
7. Calculating the duration of time passed.
8. Finding the finishing time of activity.
9. Solving contextual problems based on time.
Addition and Subtraction
1. Adding and subtracting numbers up to six digits by six digits (with and without regrouping).
2. Using strategies like counting in groups and others to add and subtract numbers up to 6 digits.
3. Making a question for a required sum or difference.
4. Solving contextual problems based on addition and subtraction.
5. Drawing a picture to show an addition or subtraction problem (including story sums).
1. Finding equivalent fractions of a given number pictorially and numerically.
2. Simplifying fractions using division and cancelling common factors.
3. Comparing fractions pictorially and using other reasoning.
4. Identifying and defining like and unlike fractions.
5. Adding and subtracting like fractions and interpreting the result pictorially.
6. Adding and subtracting like fractions symbolically and interpreting the results.
7. Adding and subtracting unlike fractions using models.
8. Multiplying fractions by whole numbers and expressing the result as repeated addition statements.
9. Dividing a whole number by fractions.
10. Dividing a fraction by another fraction.
11. Solving contextual problems based on fractions.
1. Finding average of a group of numbers
2. Solving contextual problems by finding the average.
1. Understand the meaning of percent.
2. Writing a percent in fraction and decimals and vice versa.
3. Finding percent of a number.
4. Solving contextual problems related to percentage.
5. Finding the profit/loss percent.
1. Using the metric system of unit conversion and expressing relationships between the units (like kg to gram, gram to mg and so on).
2. Writing weight measure in decimal notation.
3. Solving contextual problems using different operations like addition, subtraction multiplication etc.
1. Identifying the conditions for something to have an area and using this for identifying the shapes that have an area. (the conditions are that the surface must be smooth and must have a closed boundary).
2. Finding area by counting squares, circles or triangles in a given shape.
3. Deriving formula for area of squares and rectangle and using it to find their area.
4. Reasoning that the shapes with the same perimeter can have different areas and same as shapes with the same area can have different perimeter.
5. Solving contextual problems on area and perimeter.
1. Measuring and drawing angles, angle measures, and verifying with a protractor (less than 180 degree).
2. Estimating and measuring the angles using the protractor shown in different orientations using both sides of the protractor.
3. Identifying and measuring angles as turns and recognizing them in various contexts.
4. Naming angles in different ways.
1. Recognizing lines of symmetry for given two-dimensional figures.
2. Identifying line-symmetric figures, and drawing lines of symmetry.
3. Analysing and classifying triangles based on side length, angle measure or both.
4. Defining and constructing triangles from given criteria and by using symmetry in triangles.