Subtraction with 20: Taking away from 20, which extends place value understanding beyond 10.
- Counting back: Start at 20, count backward by the number being subtracted
- Using two ten frames: Fill 20 spaces and remove the specified number
- Think addition: What number added to the subtrahend equals 20?
Count back: 20→19 (1 step) = 19
Think addition: What + 2 = 20? Answer: 18
Pattern: As subtrahend increases by 1, difference decreases by 1
20-4=16, 20-5=15, 20-6=14, 20-7=13, 20-8=12, 20-9=11, 20-10=10
20-1=19, 20-2=18, 20-3=17, 20-4=16, 20-5=15, 20-6=14, 20-7=13, 20-8=12, 20-9=11, 20-10=10
• Subtraction with 20: Extends place value understanding beyond 10
• Verification: Add answer to subtrahend to check (19 + 1 = 20)
• Patterns: Notice that 20 - n and n + ? = 20 are related
Place value subtraction: Subtracting 20 from numbers in the twenties and thirties, focusing on the tens place.
21 has 2 tens and 1 one. Remove 2 tens: 21 - 20 = 1
22 has 2 tens and 2 ones. Remove 2 tens: 22 - 20 = 2
Pattern: The answer is always the ones digit of the original number
24-20=4, 25-20=5, 26-20=6, 27-20=7, 28-20=8, 29-20=9, 30-20=10
21-20=1, 22-20=2, 23-20=3, 24-20=4, 25-20=5, 26-20=6, 27-20=7, 28-20=8, 29-20=9, 30-20=10
• Place value: Removing 20 leaves only the ones digit
• Pattern: The answer is always the ones digit of the original number
• Verification: Add 20 back to check (1 + 20 = 21)
Fact family: Related addition and subtraction facts using the same three numbers.
What's left when 14 is taken from 20? Answer: 6
What number added to 14 makes 20? Answer: 6
Commutative property: 6 + 14 = 14 + 6 = 20
What's left when 6 is taken from 20? Answer: 14
20-14=6, 6+14=20, 14+6=20, 20-6=14
• Fact families: Addition and subtraction are inverse operations
• Relationship: If a + b = c, then c - a = b and c - b = a
• Verification: All four facts in the family are related
Definitions:
- Subtraction with 20: Taking away from 20 or subtracting 20 from larger numbers
- Place Value: Understanding that numbers have tens and ones places
- Fact Family: A group of related addition and subtraction facts using the same numbers
- Worksheet Practice: Structured exercises for skill reinforcement
- Number Bonds: Pairs of numbers that combine to make a specific total
Core Rules & Principles:
- Subtracting from 20: The answer is always what's needed to make 20
- Subtracting 20: The answer is always the ones digit of the original number
- Verification: Always check by adding the answer back to the subtracted amount
- Fact Families: Addition and subtraction are inverse operations
Step-by-Step Methods:
- For 20 - n: Count back n steps from 20, or think "What + n = 20?"
- For n - 20: Focus on the ones place of the original number
- For fact families: Identify the three numbers and create four related facts
- Verify: Always add the difference to the subtracted number to check
Examples (Simple to Advanced):
- Basic: 20 - 5 = 15
- Place Value: 24 - 20 = 4
- Fact Family: 20 - 14 = 6, 14 + 6 = 20, 6 + 14 = 20, 20 - 6 = 14
- Application: "I have 20 stickers and give away 8. How many left?" → 20 - 8 = 12
Tips & Tricks:
- Use Two Ten Frames: Visualize the numbers to understand the relationship
- Think Addition: For 20 - 14, ask "What + 14 = 20?"
- Pattern Recognition: When subtracting 20, the ones digit stays the same
- Practice Bonds: Know all pairs that make 20 (1+19, 2+18, 3+17, etc.)
Common Pitfalls:
- Confusing 20 - n with n - 20
- Forgetting that subtracting 20 changes only the tens place
- Not recognizing the relationship between addition and subtraction
- Making calculation errors with larger numbers
Key Notes for Memorization:
- Practice the pairs that make 20: 1+19, 2+18, 3+17, 4+16, 5+15, 6+14, 7+13, 8+12, 9+11, 10+10
- When subtracting 20, focus only on the ones digit
- Addition and subtraction are opposites: one undoes the other
- Use the 10 strategy: break subtraction into two steps (20 - 17 = 20 - 10 - 7 = 3)
- Look for patterns: Notice relationships between problems
- Start with easier problems: Build confidence first
- Use visual aids: Draw dots or use counters when needed
- Check answers: Verify each answer before moving on
Number Bonds: Understanding how numbers combine to make 20
Place Value: Recognizing tens and ones positions
Fact Families: Connecting addition and subtraction
• Subtraction with 20 builds foundational place value understanding
• The pairs that make 20 should be memorized: (1,19), (2,18), (3,17), (4,16), (5,15), (6,14), (7,13), (8,12), (9,11), (10,10)
• When subtracting 20 from twenty-something numbers, the answer is the ones digit
• Always verify your answer by adding the difference back to the subtracted amount
Decomposition: Breaking numbers into parts to make subtraction easier
Compensation: Adjusting numbers to make subtraction simpler
Regrouping: Preparing for subtraction with borrowing
- Connect to 30: Extend patterns to subtraction within 30
- Use number lines: Visualize jumps of 20
- Group strategies: Organize numbers for easier computation
- Verify with multiple methods: Cross-check answers
• Understanding subtraction with 20 is foundational for multi-digit operations
• Patterns with 20 extend to larger numbers (100s, 1000s)
• The relationship between addition and subtraction is fundamental to algebra
• Verification through inverse operations builds mathematical reasoning
• Place value understanding from 20 subtraction supports number sense
Questions & Answers
Question: My child completes subtraction with 20 worksheets quickly but makes careless errors. How can I help them slow down and be more accurate?
Answer: This is a common issue with confident students! Here are strategies to promote accuracy:
- Implement a "check your work" rule: have them verify each answer by adding back.
- Use a slower pace with fewer problems per session.
- Have them say problems aloud as they solve them.
- Create a "show your work" requirement, even for simple problems.
Try the "read, solve, check" approach: read the problem, solve it, then check the answer before moving on.
Quality over speed is especially important when building foundational skills.
Question: What's the most effective way to structure subtraction with 20 worksheets for first graders?
Answer: Effective worksheet structure includes:
- Small sections: 5-10 problems per section to prevent overwhelm
- Progressive difficulty: Start with basic facts, advance to applications
- Visual elements: Include ten frames, number lines, or pictures
- Fact families: Connect addition and subtraction
Example structure: 5 problems of 20 - n, 5 problems of n - 20, 5 fact family problems.
Include space for students to show their work and encourage verification strategies.
Question: How can I differentiate subtraction with 20 worksheets for students at different ability levels?
Answer: Differentiation strategies include:
- For beginners: Provide two ten frames or manipulatives, fewer problems
- For proficient students: Include missing number problems or word problems
- For advanced: Challenge with larger numbers or multi-step problems
- Choice boards: Let students select from different problem types
Create tiered worksheets with the same core concept but varying complexity.
Allow students to progress at their own pace while providing targeted support.