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Meaning: Addition is joining two or more groups to make a larger group. We use the plus sign (+) and the equals sign (=) in number sentences.
Start with objects like blocks or pencils. If you have 2 blocks and you add 3 more blocks, you put them together and count all blocks to find the total. Children learn to say the number sentence: 2 + 3 = 5. Addition can be shown with pictures, fingers or a simple number line where we move forward.
Using stories helps memory. For example: "Rani has 2 apples. Her friend gives 3 apples. How many now?" This is an addition story. Use real items to act it out. Encourage children to say the words: add, plus, sum, total. Practice with small numbers first (within 10), then extend to 20 as confidence grows.
Teaching tips: Let children use many materials, ask them to draw the story, and make them write the number sentence under the drawing. Praise attempts and correct gently.
Meaning: Subtraction is taking away some objects from a group to find how many are left. We use the minus sign (-) and the equals sign (=).
Begin with physical objects. If there are 5 bananas and we take away 2, we remove two bananas and count what remains: 5 - 2 = 3. Subtraction stories often begin with a total and show a change when some items are removed.
Use simple stories: "There are 6 birds on a tree. 2 fly away. How many are left?" Act out with toys then draw and write the number sentence. Show subtraction on a number line by moving backward when items are taken away. Teach words like minus, take away, left, and difference.
Teaching tips: Let children physically remove items, cross out drawings to show removal, and explain the result in full sentences (e.g., "6 take away 2 equals 4"). Keep numbers small and familiar.
Concrete counting: Fingers, beads and counters help children find answers without written methods. For addition, children 'count on' from the first number. For subtraction, they 'count back' from the starting number.
For example, for 3 + 2, hold up 3 fingers, then count '4, 5' while adding two more fingers. For 5 - 2, show 5 fingers then fold down two while counting backwards: '4, 3' and see 3 left. Practising these actions builds a mental image of numbers moving forward and backward.
Teachers or parents should encourage children to say each number while moving a finger or counter. Slowly remove the object or fold the finger only after saying the number, which connects speech with action. Start with numbers within 10, and show how counting on is faster than recounting all from 1 for addition.
Progression: Move from fingers to small toys, then to drawn dots and finally to mental counting without objects as children become confident.
Idea: Number bonds show pairs of numbers that together make a total. Bonds to 10 are very useful for quick addition and subtraction. Knowing that 7 and 3 make 10 helps children add or subtract near ten easily.
Use ten frames (two rows of five) and counters. Show 6 counters in a frame; ask how many more are needed to fill ten — children see 4 are missing so 6 + 4 = 10. Write related facts: 6 + 4 = 10 and 10 - 6 = 4. Teach all pairs: 0+10, 1+9, 2+8, 3+7, 4+6, 5+5 etc. Practice with games: make ten with cards or counters.
Number bonds give a fast strategy: for 8 + 5, think 8 + 2 = 10 then +3 = 13. For 14 - 9, think 14 - 4 = 10 then -5 = 5, or do 14 - 9 = 5 by seeing 9 and 1 make 10 from 14. Use story problems to practise both addition and subtraction using bonds.
Structure of a story problem: A short sentence tells who has what and what is added. Children must find the two groups to join and write the number sentence. Teaching should follow clear steps so children understand each part of the story and do not feel rushed.
Steps to teach: first read the story slowly and ask which numbers tell about groups. Second, act it out using objects like toys or counters so children see the joining. Third, draw a picture or circles to show the two groups clearly. Fourth, write the number sentence under the picture and say the answer in a full sentence. Repeat the same story with different numbers to show the pattern.
Use familiar daily examples: toys brought from home, sweets shared by friends, fruits in a basket, or children joining a game. Give simple stories with small totals and encourage children to underline the numbers in the sentence. Let them create their own addition stories and swap with a partner to solve. Use questions that ask for 'how many altogether?', 'total', or 'in all' which signal addition. Encourage answers written as complete sentences, for example: "There are 5 apples altogether."
Practice ideas: Make a set of picture-cards and let children pick two and make a story; use role play where one child gives items to another and classmates write the number sentence. Reinforce vocabulary like add, altogether, give and more.
Structure of subtraction stories: The story begins with a total and tells that some are removed. Teaching must help children spot words like 'left', 'left over', 'gave away', 'lost' or 'ate' which show subtraction. Use a step-by-step approach so pupils can follow the idea of starting with a whole and taking away a part.
Steps to teach: read the story and ask what we start with (the total). Act it out with objects such as counters, dolls or pictures and physically remove the given number. Draw the scene and cross out the removed items to show what is taken away. Then count the remaining items and write the number sentence below the drawing. Finally, ask the child to answer in a full sentence, for example: "There are 4 apples left."
Give many real-life examples: sweets eaten at snack time, children leaving a play area, birds flying away, or books taken from a shelf. Encourage children to use their own words to tell the story after solving; this reinforces understanding. Practice with small numbers and gradually use examples where subtraction leaves zero or uses number bonds for quicker thinking. Teach them to look for clues that tell when to subtract rather than add.
Extensions: After being comfortable with single-step stories, introduce two-step stories where there may be an addition then subtraction or vice versa, always using objects and drawings so the child sees each action clearly.
Number line idea: A number line shows numbers in order and helps children add by jumping forward and subtract by jumping backward. It is a visual way to see how numbers move.
Draw a short number line from 0 to 10. For 2 + 3, start at 2 and make three jumps to the right: land on 5. For 7 - 2, start at 7 and make two jumps to the left: land on 5. Show each jump clearly and count aloud for every step.
Number lines also show how addition is repeated counting forward and subtraction is repeated counting back. Encourage students to draw their own number lines and label them. Use this tool after children are comfortable with fingers and counters so they can move to pictorial and then mental methods.
Practice: Give many short activities: add 1 or 2 using the line, subtract small numbers, and compare different ways to get the same answer.
Checking with the inverse: To be sure about an answer, use the opposite operation. For subtraction answers, add the subtracted number and the result to see if you get the starting number. Example: For 7 - 2 = 5 check by 5 + 2 = 7.
Using zero: Zero means nothing. Adding zero to a number keeps it the same (4 + 0 = 4). Taking away zero also keeps the number the same (4 - 0 = 4). Use stories to show zero: "There are 3 apples; none is taken away, so 3 remain."
Teach children to always ask: can I check this by doing the opposite? Make a habit of drawing the story and reversing it to check. Give exercises where children must both solve and check each problem. This builds accuracy and confidence.
Simple rules: Adding makes numbers bigger or stays same (if adding zero). Subtracting makes numbers smaller or stays same (if subtracting zero). Use many examples so these rules feel natural.