Golden Beads: Subtraction with Exchanging

Exchanging (borrowing) is made visible and concrete with golden beads. Children physically break a ten-bar into units, understanding what 'borrowing' means.

• Framework: Montessori
• Unit: Mathematics
• Learning area: Operations
• Level: Ages 4-6

Objectives

• Understand regrouping in subtraction
• Practice place value exchanging
• Build concrete understanding of borrowing
• Solve multi-digit subtraction

Materials

• Golden bead materials (units, tens, hundreds, thousands)
• Large numeral cards
• Two trays
• Operation cards

Instructions

1. Build starting number with beads. 2. Present subtraction problem. 3. Try to take away units. 4. If not enough: exchange one ten-bar for 10 units. 5. Now take away required units. 6. Continue with tens, hundreds. 7. Count remaining beads. 8. Record answer.

Educator tip

The exchange is the key moment. Go slowly: 'We don't have enough units. What can we do?' Let child suggest exchanging.

Assessment

Child performs subtraction with exchanging using golden beads and records the result.

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• Multiplication with Bead Bars: Skip Counting
• Dot Game (Place Value Addition)
• Introduction to Zero
• Pattern Block Designs
• Number Line Walk
• Measurement: Length with Non-Standard Units
• Snake Game: Addition
• Division Board