Grade 5 Curriculum
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.
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. 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.
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.