What is the Counting On Strategy?

S1-SA1-0727

Grade Level:

Class 2

Maths, Computing, AI, Mental Maths

Definition

What is it?

The 'Counting On' strategy is a simple way to add numbers, especially smaller ones. Instead of starting from zero, you begin counting from the larger number and add the smaller number by counting forward. It helps you find the total quickly without needing to count everything from the beginning.

Simple Example

Quick Example

Imagine you have 5 delicious ladoos, and your friend gives you 3 more. To find the total, you start with the 5 ladoos you already have and then count on: '6, 7, 8'. So, you have 8 ladoos in total. You didn't count all the ladoos from one.

Worked Example

Step-by-Step

Let's add 7 + 4 using the Counting On strategy.
---1. Identify the larger number. In 7 + 4, the larger number is 7.
---2. Start counting from the larger number (7).
---3. Now, count forward the smaller number of times (4 times).
---4. Start from 7 and count: '8' (that's 1 count), '9' (that's 2 counts), '10' (that's 3 counts), '11' (that's 4 counts).
---5. The number you landed on is the sum.
---Answer: 7 + 4 = 11

Why It Matters

Common Mistakes

MISTAKE: Starting to count from 0 every time, even when adding a small number to a big one. | CORRECTION: Always start counting from the larger number in the addition problem. This makes it faster and less prone to errors.

MISTAKE: Counting the starting number again. For example, for 5 + 3, counting '5, 6, 7' (only 2 counts). | CORRECTION: Make sure to count the correct number of steps. For 5 + 3, start at 5, then count 3 steps forward: '6' (1), '7' (2), '8' (3).

MISTAKE: Getting confused when the smaller number comes first (e.g., 3 + 8). | CORRECTION: Remember that addition order doesn't matter (3 + 8 is the same as 8 + 3). Always pick the larger number to start counting from, regardless of its position.

Practice Questions

Try It Yourself

QUESTION: Use Counting On to find 6 + 2. | ANSWER: 8

QUESTION: Your mom gave you 9 rupees, and your dad gave you 3 more. How much money do you have in total using Counting On? | ANSWER: 12 rupees

QUESTION: A bus has 12 passengers. At the next stop, 5 more passengers get on. How many passengers are on the bus now? Show your counting steps. | ANSWER: Starting from 12, count 5 steps: 13, 14, 15, 16, 17. Total 17 passengers.

MCQ

Quick Quiz

Which of these shows the correct 'Counting On' strategy for 8 + 3?

Counting '1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11'

Counting '8, 9, 10' (3 counts)

Counting '9, 10, 11' (3 counts)

Counting '1, 2, 3' then adding 8

The Correct Answer Is:

Option C correctly starts from the larger number (8) and counts on 3 steps: 9 (1st step), 10 (2nd step), 11 (3rd step). Options A counts from 1, and B and D do not count correctly or start at the wrong point.

Real World Connection

In the Real World

Imagine a shopkeeper at a small kirana store. If a customer buys items for 15 rupees and then adds a chocolate for 5 rupees, the shopkeeper quickly 'counts on' from 15: '16, 17, 18, 19, 20' to tell the total. This mental calculation is super fast and helps in daily transactions, even with digital payments like UPI where the final amount needs to be entered correctly.

Key Vocabulary

Key Terms

ADDITION: The process of combining two or more numbers to find their total | SUM: The total result obtained from adding two or more numbers | COUNTING ON: A strategy for addition where you start from the larger number and count forward the smaller number of times | MENTAL MATHS: Doing calculations in your head without using a pen and paper or calculator

What's Next

What to Learn Next

Great job learning 'Counting On'! Next, you can explore the 'Counting Back' strategy for subtraction. It's very similar but instead of counting forward, you'll count backward to find the difference. This will make you even better at mental calculations!