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K.1 Counting back to subtract - up to 10

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Counting Back to Subtract

Counting back is a way to subtract by starting at a number and saying the numbers in reverse order. Each number you say takes one away.

Examples:
  • Problem: 6 βˆ’ 1 = ?
    Solution: Start at 6. Count back one number: 5. So, 6 βˆ’ 1 = 5.
  • Problem: 8 βˆ’ 2 = ?
    Solution: Start at 8. Count back two numbers: 7, 6. So, 8 βˆ’ 2 = 6.
Helpful Hint

When you count back, always move to smaller numbers one step at a time.

Using Fingers to Count Back

Fingers can help us keep track of how many we subtract. Show the starting number in your head, then fold down one finger for each count back.

Examples:
  • Problem: 7 βˆ’ 3 = ?
    Solution: Start at 7 in your head. Fold down 1 finger (6), then another (5), then another (4). So, 7 βˆ’ 3 = 4.
  • Problem: 5 βˆ’ 2 = ?
    Solution: Start at 5. Count back on two fingers: 4, 3. So, 5 βˆ’ 2 = 3.
Helpful Hint

Say each number out loud as you fold a finger to avoid skipping a step.

Counting Back on a Number Line

A number line helps us see counting back. Start at the larger number and hop left one step for each number you subtract.

Examples:
  • Problem: 9 βˆ’ 4 = ?
    Solution: Start at 9. Hop back 4 steps: 8, 7, 6, 5. So, 9 βˆ’ 4 = 5.
  • Problem: 10 βˆ’ 2 = ?
    Solution: Start at 10. Hop back 2 steps: 9, 8. So, 10 βˆ’ 2 = 8.
Helpful Hint

Each hop on the number line shows one count back. Move left for every subtraction step.

Word Problems with Counting Back

We can use counting back to solve real-life subtraction stories. Start with the total, then count back to see how many remain.

Examples:
  • Problem: Mia has 6 apples. She eats 2. How many apples are left?
    Solution: Start at 6. Count back 2: 5, 4. So, 6 βˆ’ 2 = 4.
  • Problem: There are 9 frogs on a log. 3 jump off. How many frogs remain?
    Solution: Start at 9. Count back 3: 8, 7, 6. So, 9 βˆ’ 3 = 6.
Helpful Hint

Draw a number line or use your fingers to make the story problem easier to solve.

Practice with Everyday Situations

Counting back helps us solve problems in daily life, like sharing, eating, or losing items.

Real-Life Examples:
  • Problem: You have 5 pencils. You give 2 to a friend. How many are left?
    Solution: Start at 5. Count back 2: 4, 3. So, 5 βˆ’ 2 = 3.
  • Problem: There are 8 books on a shelf. 1 falls down. How many are still on the shelf?
    Solution: Start at 8. Count back 1: 7. So, 8 βˆ’ 1 = 7.
Try This

Make up your own subtraction stories. Use counting back with your fingers or a number line to solve them.