Doubles: Addition facts where both addends are identical numbers (e.g., 3+3, 8+8)
- Add the same number twice
- Remember: doubles always make even numbers
- You can think of it as multiplying by 2
- Practice until you can recall quickly
Near Doubles: Addition facts where addends are consecutive numbers (differ by 1)
- Identify the doubles fact first
- Add or subtract 1 from the doubles result
- Example: 6 + 7 = (6 + 6) + 1 = 13
- Practice using the doubles strategy
Mixed Practice: Combining both doubles and near doubles concepts for comprehensive understanding
- First, identify if it's a doubles or near doubles fact
- Then, apply the appropriate strategy
- Practice distinguishing between the two types
- Build fluency with both concepts
Word Problems: Mathematical problems presented in real-world contexts requiring problem-solving skills
- Read the problem carefully
- Identify the operation needed
- Determine if it's a doubles or near doubles fact
- Solve and write the answer
Challenge Problems: Advanced exercises that require higher-order thinking and problem-solving skills
- Think carefully about each problem
- Use what you know about doubles and near doubles
- Work backwards when needed
- Check your answers carefully
Doubles: Addition facts where both addends are identical numbers (e.g., 3+3, 8+8). These always result in even numbers and form the foundation for other addition strategies.
Near Doubles: Addition facts where addends are consecutive numbers (differ by 1) such as 4+5, 7+8. These can be solved efficiently using doubles facts plus or minus 1.
Worksheets: Structured practice sheets designed to provide focused practice and reinforcement of mathematical concepts for 1st grade students.
- Doubles: Same number added twice (n + n)
- Near Doubles: Consecutive numbers added (n + (n+1))
- Strategy: Use known doubles to solve near doubles
- Pattern: Doubles result in even numbers
- Pattern: Near doubles result in odd numbers
• Doubles principle: n + n = 2n (always results in an even number)
• Near doubles principle: n + (n+1) = (n+n) + 1 (always results in an odd number)
• Strategy principle: Use known facts to solve unknown problems efficiently
• Pattern principle: Recognizing patterns speeds up problem-solving
- Work through problems systematically
- Use fingers or counters for working out solutions
- Time yourself to build fluency
- Review mistakes to learn from them
- Ask for help when needed