Counting back from 20: A subtraction strategy that starts with 20 and counts backward by the number being subtracted.
- Start with 20
- Count backward by 1 for each number to subtract
- Count: 19, 18, 17, 16, 15 (5 steps back)
- The number you land on is the answer
Begin at 20 (the number we're subtracting from)
Move from 20 to 19 (20 - 1 = 19)
Move from 19 to 18 (19 - 1 = 18)
Move from 18 to 17 (18 - 1 = 17)
Move from 17 to 16 (17 - 1 = 16)
Move from 16 to 15 (16 - 1 = 15)
20 - 5 = 15
• Counting back: Start with 20 and move backward
• Subtraction principle: Each step reduces the total by 1
• Sequential counting: Count backward in order
Number line counting back from 20: Using a visual number line to count backward from 20.
Place your finger on 20 on the number line
Jump to 19 (20 - 1 = 19)
Jump to 18 (19 - 1 = 18)
Jump to 17 (18 - 1 = 17)
Jump to 16 (17 - 1 = 16)
Jump to 15 (16 - 1 = 15)
Jump to 14 (15 - 1 = 14)
Jump to 13 (14 - 1 = 13)
Jump to 12 (13 - 1 = 12)
20 - 8 = 12
• Number line movement: Move left on the number line to subtract
• Sequential subtraction: Subtract 1 at each step
• Visual tracking: Use the number line to follow your progress
Word problem counting back from 20: Using the counting back from 20 strategy to solve real-world subtraction problems.
Started with 20 students, 7 went home → 20 - 7 = ?
Begin at 20 (the total number of students)
Move from 20 to 19 (20 - 1 = 19)
Move from 19 to 18 (19 - 1 = 18)
Move from 18 to 17 (18 - 1 = 17)
Move from 17 to 16 (17 - 1 = 16)
Move from 16 to 15 (16 - 1 = 15)
Move from 15 to 14 (15 - 1 = 14)
Move from 14 to 13 (14 - 1 = 13)
There are 13 students left.
• Problem translation: Convert word problems to number sentences
• Subtraction modeling: Counting back represents taking away
• Context application: Connect math to real-world situations
Counting back from 20: A subtraction strategy that starts with 20 and counts backward by the number being subtracted
Subtraction: Taking away a quantity from another quantity
Number line: A visual representation of numbers in order
Sequential counting: Moving through numbers in order (forward or backward)
- Start at 20: Begin with the number 20 in the subtraction problem
- Count backward: Move through numbers in reverse order
- Track steps: Keep track of how many numbers you've counted back
- Land on answer: The number you stop on is the result
- Verify result: Check your answer by adding back
- Visual aid: Use fingers, number lines, or objects to assist
• Direction rule: Count backward for subtraction, forward for addition
• Starting point: Always begin with 20 in counting back from 20 problems
• Step count: Count back by the exact number being subtracted
• Sequential order: Each step moves to the previous number in sequence
• Verification: Add the result back to the subtracted number to check
Visual aids: Number lines, fingers, counters, and other tools
Sequential counting: Moving through numbers in order
Subtraction modeling: Representing subtraction with physical actions
Verification: Checking answers by adding back
- Finger counting: Use fingers to physically count back
- Number line exercises: Practice moving along number lines
- Backward counting: Count backward from 20 to 0
- Word problems: Apply counting back to real-world scenarios