Cube Chains and Square Numbers

Cube chains extend the bead chain concept to three dimensions, introducing cubed numbers through concrete manipulation and counting.

• Framework: Montessori
• Unit: Mathematics
• Learning area: Linear Counting
• Level: Ages 5-6

Objectives

• Count cube chains
• Understand cubed numbers
• Connect skip counting to multiplication

Materials

• Cube chains: chain of 8, 27, 64, 125
• Arrow labels
• Corresponding cubes
• Recording sheet

Instructions

1. Present chain of 27 (three 3-bars repeated 3 times, in 3 sets). 2. Count each bead, placing arrows. 3. Skip count by 3: 3, 6, 9, 12, 15, 18, 21, 24, 27. 4. Fold to match 3×3 square, then 3-cube. 5. '3 × 3 × 3 = 27. This is 3 cubed!' 6. Record: 3³ = 27.

Educator tip

Folding the chain into first a square, then a cube makes the dimensional progression concrete and memorable.

Assessment

Child counts cube chains, skip counts, and connects to cubed numbers.

More from Mathematics

• Introduction to Simple Equations
• Mathematical Journal Writing
• Montessori Math Fair Projects
• Number Rods
• Sandpaper Numerals
• Spindle Boxes
• Cards and Counters
• Introduction to the Decimal System with Golden Beads