Basic addition combinations where the sum is 20 or less. Examples: 7 + 5 = 12, 9 + 8 = 17, 6 + 4 = 10.
The ability to recall basic addition facts quickly and accurately without counting or calculating, typically within 2-3 seconds per fact.
Groups of related addition facts using the same numbers. Example: 5, 7, 12 → 5 + 7 = 12, 7 + 5 = 12.
Techniques for solving addition facts mentally, such as counting on, making ten, using doubles, and near-doubles.
0+0, 1+1, 2+2, 3+3, 4+4, 5+5, 6+6, 7+7, 8+8, 9+9, 10+10
Easiest to memorize
6+7, 7+8, 8+9, 5+6, etc.
One more than doubles
Start with easiest facts (zeros, ones, doubles) and gradually work up to more challenging combinations.
Regular, consistent practice sessions are more effective than occasional intensive study.
Practice facts in random order to build true fluency, not just sequential recall.
- Start with warm-up: Begin with easy facts to build confidence
- Focus on weak spots: Spend extra time on challenging facts
- Use multiple senses: Say, write, and visualize facts
- Track progress: Monitor improvement over time
- Stay positive: Encourage effort and celebrate improvements
• Practicing too many facts at once
• Relying on counting instead of recall
Category: Doubles fact (easiest category)
Strategy: Double the number (6 × 2 = 12)
Workout Goal: Build confidence and foundational knowledge
- Recognize this as a doubles fact
- Remember: 6 + 6 is double 6
- Calculate: 6 × 2 = 12
- Confirm: 6 + 6 = 12
This is a doubles fact (same number added to itself)
Double the number: 6 × 2 = 12
Count: 6, 7, 8, 9, 10, 11, 12
6 + 6 = 12
6 + 6 = 12
• Doubles Strategy: Any number added to itself is doubled
• Pattern Recognition: A + A = 2A
• Foundation Building: Doubles support near-doubles facts
Category: Near-doubles fact (consecutive numbers)
Strategy: Use doubles fact and add one more
Workout Goal: Build on known facts to solve related problems
This is a near-doubles fact (7 and 8 are consecutive numbers)
7 + 7 = 14 (known doubles fact)
Since 8 is one more than 7, add 1 to the doubles result
14 + 1 = 15, so 7 + 8 = 15
7 + 8 = 15
• Near-Doubles Strategy: Use doubles + 1
• Building on Known Facts: Extend what you already know
• Number Sense: Understanding relationships between numbers
Category: Making ten strategy
Strategy: Break apart to make 10, then add remainder
Workout Goal: Develop flexible thinking with numbers
Break apart 5 to make 10 with 8
5 = 2 + 3 (so 8 + 2 = 10)
8 + 2 = 10
10 + 3 = 13
8 + 5 = 13
8 + 5 = 13
• Making Ten Strategy: Use 10 as a benchmark
• Decomposition: Break numbers into helpful parts
• Flexible Thinking: Multiple ways to solve the same problem
Category: Mixed addition fact
Strategy: Near-doubles or making ten
Workout Goal: Apply learned strategies flexibly
Could use near-doubles (9 + 4 = 4 + 9 = 4 + 5 + 4 = 13) or make ten
Break 4 into 1 + 3 to make 10 with 9
9 + 1 = 10, then 10 + 3 = 13
Counting on: 9, 10, 11, 12, 13
9 + 4 = 13
• Strategy Flexibility: Multiple approaches to the same problem
• Efficient Thinking: Choose the quickest strategy
• Verification: Double-check with alternative method
Category: Near-doubles fact (challenging combination)
Strategy: Doubles + 1 or making ten
Workout Goal: Achieve instant recall through practice
This is a near-doubles fact (6 and 7 differ by 1)
6 + 6 = 12, so 6 + 7 = 12 + 1 = 13
Or 7 + 7 = 14, so 6 + 7 = 14 - 1 = 13
With practice, 6 + 7 = 13 should be recalled instantly
6 + 7 = 13
• Mastery Goal: Instant recall without calculation
• Multiple Approaches: Different strategies lead to same result
• Consistent Practice: Repetition builds automaticity
A + B = C
A + B = B + A
A + A = 2A
WARM UP WITH EASY FACTS, BUILD UP GRADUALLY, CELEBRATE PROGRESS!