Solved Exercises on Counting On for Grade 1

Master counting on: addition and subtraction strategies with visual infographics, step-by-step solutions, and practice problems.

Counting On Concepts & Visuals
🧮 Counting On Strategy
Start with the larger number and count up
Definition:

Counting On: A mental math strategy where you start with the larger number and count up by the smaller number.

Counting On Method:
  1. Identify the larger number (start number)
  2. Count up by the smaller number
  3. Keep track of each count
  4. Final number is your answer
5
6
7
8
9
10
Key Rules:

• Always start with the larger number

• Count up one number at a time

• Use fingers or mental counting

• For subtraction, count backwards

Tip 1: Use your fingers to keep track of counts.
Tip 2: Start with the bigger number to make counting easier.
Tip 3: Practice with small numbers first (1-5).
Solution: Exercises 1 to 3
1 Basic Addition
Exercise 1
5 + 3 = ?
Strategy:

Counting On: Start with 5 and count up 3 more.

5
→
6
→
7
→
8
Step 1: Identify larger number

Start with 5 (the larger number)

Step 2: Count up 3 times

5 → 6 → 7 → 8

Step 3: Final answer

5 + 3 = 8

5 + 3 = 8
Final answer:

5 + 3 = 8

Applied rules:

• Counting On: Start with larger number

• Sequential Counting: Count up one by one

• Final Position: Last number is the answer

2 Addition with Pictures
Exercise 2
4 + 2 = ?
+
=
Step 1: Start with 4

Count 4 objects: ⚪ ⚪ ⚪ ⚪

Step 2: Count up 2 more

Add 2 more: ⚪ ⚪

Step 3: Total count

4 + 2 = 6 total objects

4 + 2 = 6
Final answer:

4 + 2 = 6

Applied rules:

• Visual Counting: Use pictures to represent numbers

• Combining Sets: Join two groups together

• Total Calculation: Count all objects in final set

3 Subtraction Strategy
Exercise 3
7 - 2 = ?
Strategy:

Counting Back: Start with 7 and count back 2.

7
←
6
←
5
-
=
Step 1: Start with 7

Begin at number 7

Step 2: Count back 2

7 → 6 → 5

Step 3: Final answer

7 - 2 = 5

7 - 2 = 5
Final answer:

7 - 2 = 5

Applied rules:

• Counting Back: Move left on number line

• Subtraction: Remove specified number of items

• Remaining Count: Count what's left after removal

Solution: Exercises 4 to 5
4 Mixed Numbers
Exercise 4
6 + 4 = ?
Strategy:

Counting On: Start with 6 and count up 4 more.

6
→
7
→
8
→
9
→
10
Step 1: Identify starting point

Start with 6 (larger number)

Step 2: Count up 4 times

6 → 7 → 8 → 9 → 10

Step 3: Record final count

6 + 4 = 10

6 + 4 = 10
Final answer:

6 + 4 = 10

Applied rules:

• Number Line Movement: Move right for addition

• Sequential Counting: One number at a time

• Final Position: End point is the sum

5 Subtraction Challenge
Exercise 5
9 - 3 = ?
Strategy:

Counting Back: Start with 9 and count back 3.

9
←
8
←
7
←
6
Step 1: Begin with 9

Start at the largest number: 9

Step 2: Count back 3 positions

9 → 8 → 7 → 6

Step 3: Identify result

9 - 3 = 6

9 - 3 = 6
Final answer:

9 - 3 = 6

Applied rules:

• Backward Counting: Move left on number line

• Subtraction Principle: Take away specified amount

• Difference Calculation: Remaining amount after subtraction

Questions & Answers

Question: Why do we always start with the bigger number when counting on? It seems harder to me.

Answer: Great question! Starting with the bigger number makes counting on much easier because you have fewer numbers to count. Let me explain:

Example: For 3 + 7:

  • If you start with 3 and count up 7: 3 → 4 → 5 → 6 → 7 → 8 → 9 → 10 (7 counts!)
  • If you start with 7 and count up 3: 7 → 8 → 9 → 10 (only 3 counts!)

Starting with the larger number means you count fewer times, making the problem faster and less likely to cause mistakes. It's a smart shortcut!

Question: My child gets confused when doing subtraction. How does counting on work for subtraction problems?

Answer: For subtraction, we actually use "counting back" rather than "counting on," but it's still part of the counting family of strategies:

For subtraction:

  • Start with the larger number (the total)
  • Count backwards by the number being subtracted
  • Example: 8 - 3 means start at 8 and count back 3: 8 → 7 → 6 → 5

Help your child visualize this on a number line, moving left instead of right. Some children also find it helpful to think "take away" and physically remove objects.

Question: What if I forget how many numbers I've counted? I lose track easily.

Answer: That's completely normal! Here are some helpful strategies to keep track:

Tracking Methods:

  • Use your fingers: Raise one finger for each number you count
  • Touch and count: Touch each object as you count it
  • Draw dots: Make a dot for each number you count
  • Move objects: Move counters from one pile to another as you count

The key is finding a method that works for you and practicing regularly. With time, counting will become more natural and you'll need less tracking.