### Numbers and Place Value

• 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.

### Decimals Core

• 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.

### Capacity

• 1. Expressing the capacity of liquids in liters, and milliliters and decimal notation.
• 2. Doing conversions between ml and liters using multiplication and reasoning.

### Number Relations

• 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.

### Simplification

• 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.

### Length

• 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.

### Perimeter

• 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.

• 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).

### Fractions

• 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.

### Averages

• 1. Finding average of a group of numbers
• 2. Solving contextual problems by finding the average.

### Percentages

• 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.

### Weight

• 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.