How to Teach Regrouping
Regrouping works best when students can see the trade between tens and ones. This guide keeps regrouping grounded in place value instead of treating it like a memorized rule.
📐 Standards Alignment
Fluently add and subtract within 100 using strategies based on place value and properties of operations.
Explain why addition and subtraction strategies work using place value and operation properties.
📦 Materials Needed
- Base-ten blocks
- Place-value chart
- Dry-erase board
- Two-digit number cards
🎯 Teaching Strategies
⚠️ Common Misconceptions
❌ Misconception: Students add the ones but forget the regrouped ten
✅ Correction: Circle the regrouped ten and point to it again when adding the tens column.
❌ Misconception: Students think subtracting always means the bigger digit goes on top in each column
✅ Correction: Return to place-value blocks and show why a ten must sometimes be broken apart first.
📊 Differentiation Tips
Struggling
Stay with two-digit numbers under 50 and use base-ten blocks for every problem.
On-level
Move between blocks, drawings, expanded form, and the standard algorithm.
Advanced
Ask students to explain regrouping in words and compare two solution strategies.
🚀 Extension Activities
- Play a regrouping card game with two-digit numbers.
- Write matching addition and subtraction fact-family stories.
- Solve shopping stories that require regrouping with prices under one dollar.