Final Revision

What numbers are: Numbers tell us how many. We write numbers using digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Two-digit numbers use tens and ones. For example, 47 means 4 tens and 7 ones. Use everyday objects to show this: ten apples make one ten, and single apples show ones.

Counting and reading: Practice counting forward and backward up to 100. Read numbers aloud and write them in words and digits. Use tens charts to see patterns: numbers in a column share the same ones digit. Counting by tens (10, 20, 30…) helps children recognise the tens place quickly.

Place value and making numbers: Build numbers with blocks or sticks. Show 62 as six ten-blocks and two single blocks. Ask children to make numbers from a given set of tens and ones, and to show the number in words, digits and on a simple place-value chart.

Comparing and ordering: Teach using questions: which is larger, 58 or 85? Look at tens first; if tens are equal, compare ones. Use signs >, < and = and practise ordering a small set of numbers from smallest to largest. Encourage drawing a number line from 0 to 100 and placing numbers on it to see their order visually.

Games and practice: Play quick games like ‘which number am I?’ where clues give tens and ones, or use flashcards for rapid recognition. Short, frequent practice helps children become confident with all numbers up to 100.

Adding means putting together. We can add numbers by counting objects, using fingers, on a number line, or by making tens. Start with small numbers and move to larger ones. For example, 23 + 14 can be done by adding tens (20 + 10 = 30) and ones (3 + 4 = 7) then joining them to get 37.

Using number line: Put a finger at first number and jump forward the size of the second number. This shows addition as steps forward. Using objects like beads also makes addition clear.

Making tens: When ones add up to ten or more, make a ten and carry to tens place. For example, 28 + 15: ones 8 + 5 = 13 (write 3 and add 1 ten). Tens 2 + 1 + carry 1 = 4 → 43.

Practice helps speed and accuracy. Encourage children to explain their method and draw simple pictures for each step.

Subtraction means taking away. If you have some objects and remove some, what remains is the result of subtraction. Begin with real objects—candies, blocks or stones. For example, to do 15 − 6, place 15 objects and remove 6; count what is left. Practical removal helps children understand the idea of difference.

Using number line: Put a finger on the larger number and jump backwards by the smaller number. This shows subtraction as moving back. For 20 − 7, start at 20 and make seven jumps back to reach 13. Number lines also help when children cannot handle many objects.

Borrowing in simple terms: Sometimes ones in the top number are smaller than the ones being subtracted. Explain borrowing with tens and ones: for 32 − 18, take one ten from 32 (so tens become 2 and ones become 12). Now 12 − 8 = 4 and 2 − 1 = 1, so the answer is 14. Use blocks or place-value boxes to show this exchange of one ten into ten ones.

Checks and strategies: Teach checking by addition: after subtraction, add the difference to the smaller number; the result should be the original larger number. Encourage children to use counting up too: from 18 count up to 32 to find the difference. Give many short exercises and ask learners to explain their steps with drawings or simple words to build understanding and confidence.

2-D shapes: These are flat shapes you can draw on paper. Common ones are circle, triangle, square and rectangle. Each shape has special parts: sides (straight lines around a shape) and corners (points where sides meet). For example, a square has 4 equal sides and 4 right corners. A rectangle has 4 sides with two pairs of equal lengths. A triangle has 3 sides and 3 corners. A circle has no sides and no corners and is perfectly round.

3-D shapes: These are solid shapes you can hold. Examples are cube, cuboid, sphere, cylinder and cone. A cube has 6 square faces and 8 corners; a cuboid (a rectangular box) has 6 faces but not all faces are square; a sphere is round like a ball and has no edges or corners; a cylinder has two circle faces and one curved surface; a cone has one circular face and comes to a point.

How to learn: Use real objects: a book is a rectangle (2-D face), a dice is a cube, a ball is a sphere, a glass is like a cylinder. Ask children to touch and sort objects into piles: flat shapes and solid shapes. Draw shapes and count sides and corners for 2-D shapes, and count faces, edges and corners for 3-D shapes using simple language.

Activities and observations: Make a shape hunt around the house or classroom. Draw and label shapes, trace and cut them out, and build small 3-D models with clay or paper to see faces and edges. These active steps help children remember names and properties of shapes.

Length: Length is how long or short something is. For Class 2 we begin with non-standard units such as paper clips, pencils or blocks to measure and compare. Place the unit end to end along the object without gaps. For example, a pencil may be 6 paper clips long. This teaches the idea of same units and fair measuring. Introduce centimetres (cm) by using a ruler for small items and show the children how the ruler has marks from 0 to 30 cm.

Comparing lengths: To know which is longer, put two objects side by side or measure both with the same unit. Use words taller/shorter, longer/shorter. Practice by asking questions: "Which is longer, your eraser or your pencil?" or "Order three books from shortest to longest."

Weight: Weight tells how heavy an object is. Use a simple balance scale or compare by holding two objects to feel which is heavier and which is lighter. Use everyday items like an apple, a toy car, and a feather to see differences. Teach words heavier, lighter and equal.

Recording and fairness: Always use the same unit when comparing and write results like "pencil = 12 cm" or "apple is heavier than banana." Do short practical activities: measure desk, book, pencil; compare weights using a balance; and sort objects into heavy and light. These hands-on tasks make measurement clear and enjoyable.

Reading the clock: Clocks have two main hands: a short hour hand and a long minute hand. The clock face has numbers 1 to 12. When the long hand points to 12, and the short hand points exactly to a number, we say that o'clock time. For example, short hand on 4 and long hand on 12 is 4 o'clock.

Half past the hour: When the long hand points to 6, it is half past the hour. The short hand will be halfway between two numbers. For example, when it is half past 3, the short hand is between 3 and 4 and the long hand is on 6. Say "half past three" and write 3:30 in digital form.

Digital clocks: A digital clock shows time as numbers like 5:00 or 5:30. Teach children to match an analogue clock picture to the digital time. Practise common daily times: school starts at 9:00, lunch at 12:30, bedtime at 8:00, so children link clock positions to routine activities.

Activities to learn: Ask children to draw hands for given times and to read clocks from pictures. Use a paper plate clock with movable hands for children to set times themselves. Play games: call out a time and ask them to show it on their paper clock. Repetition and linking times to daily life help pupils remember hours and half hours confidently.

Coins and notes: Children learn common coins such as 1, 2, 5 and 10 rupee coins and small notes. Explain that 100 paise make 1 rupee, although Class 2 work mainly uses rupee coins and simple sums. Show real or play coins so children can hold and count them, learning the look and value of each coin.

Counting and adding money: Practice adding coin values to make a total. For example, 5 rupee + 2 rupee + 1 rupee = 8 rupee. Give short role-play exercises: set up a pretend shop with price tags up to 20 rupees so children buy items and pay with coins. They can count coins to reach the price and practise simple addition and giving change.

Giving change and comparison: Teach how to give change using small numbers: if a toy costs 7 rupees and the child gives 10 rupees, they should get 3 rupees back. Use coin exchanges to show different ways to make the same amount (for example, 10 rupees as 5+5 or 2+2+2+2+2). Also practise comparing amounts: which is more, 8 rupees or 5 rupees?

Practical tips: Encourage children to count pocket money and use coins at home for small purchases. Short, regular practice with real coins builds confidence and helps children understand value, addition and fairness in money transactions.

Patterns: A pattern is a rule that repeats. Patterns can use colours, shapes, objects or numbers. Simple patterns are AB (red, blue, red, blue), AAB (circle, circle, square, circle, circle, square) or number patterns like 2, 4, 6, 8 which add 2 each time. Patterns help children see order and learn to predict what comes next.

Finding the rule and continuing patterns: Teach children to look for what repeats and how often. Ask questions: "What comes next?" and "Why?" When the rule is adding, show it with objects or numbers. For an AB pattern, children should be able to continue it for many steps.

Creating and describing patterns: Encourage making their own patterns using beads, stamps, or drawings. Ask them to describe the rule in words, for example, "I put two red then one blue". This strengthens verbal reasoning and orderly thinking.

Simple logical tasks: Give missing-piece problems: show a sequence with a blank and ask which shape or number fits. Use patterns in daily activities like clap patterns or step patterns to make learning active. These exercises build early problem-solving skills and attention to sequence, both important for future maths.