What is the Counting On and Counting Back strategy for Grade 3 math?

➕ Understanding Counting On

Counting on is a simple addition strategy. Instead of counting each number individually, you start with the larger number and count up the smaller number. This makes adding faster and easier! For example, to solve 9 + 3, start with 9 and count on three more: 10, 11, 12. So, 9 + 3 = 12.

• 🧠 Identify the Larger Number: Look at the numbers you're adding and find the bigger one.
• 👆 Count Up: Start with the larger number and count up the smaller number. Keep track using your fingers if you need to!
• ✅ Find the Sum: The number you land on is the answer!

➖ Understanding Counting Back

Counting back is the opposite of counting on, and it's used for subtraction. Start with the larger number (the number you are subtracting from) and count backwards the smaller number (the number you are subtracting). For instance, to solve 12 - 3, begin at 12 and count back three numbers: 11, 10, 9. So, 12 - 3 = 9.

• 🔢 Identify the Larger Number: This is the number you're subtracting from.
• 👇 Count Down: Start with the larger number and count down the smaller number.
• ✔️ Find the Difference: The number you end on is the answer!

➗ Real-World Examples

Let's look at how counting on and counting back can help solve everyday math problems.

• 🍎 Counting On Example: Imagine you have 7 apples, and your friend gives you 4 more. How many apples do you have in total? Start with 7 and count on 4: 8, 9, 10, 11. You have 11 apples.
• 🍪 Counting Back Example: You have 15 cookies, and you eat 6 of them. How many cookies are left? Start with 15 and count back 6: 14, 13, 12, 11, 10, 9. You have 9 cookies left.

💡 Tips and Tricks

Here are some helpful tips to make counting on and counting back even easier:

• 🖐️ Use Your Fingers: If you're just starting out, using your fingers can help you keep track of how many numbers you've counted.
• ✍️ Practice Regularly: The more you practice, the faster you'll become at counting on and counting back.
• ➕ Visualize: Imagine a number line in your head. This can help you see the numbers as you count.

📝 Practice Quiz

Test your understanding with these practice problems. See if you can use counting on and counting back to solve them!