Fraction Equivalence

Discovering that 1/2 = 2/4 = 3/6 is a critical insight. Concrete fraction circles make this discovery tangible and memorable.

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

Objectives

• Discover equivalent fractions
• Understand that different fractions can represent the same amount
• Build foundation for fraction operations

Materials

• Fraction circles: complete set
• Fraction labels
• Recording sheet

Instructions

1. Place 1/2 on mat. 2. 'Can you find other pieces that cover the same space?' 3. Try 2/4: 'It fits perfectly! 1/2 = 2/4.' 4. Try 3/6, 4/8, 5/10. 5. Record all equivalent fractions. 6. 'What pattern do you see?' (doubling numerator and denominator) 7. Predict equivalents for 1/3.

Educator tip

The physical overlay makes equivalence undeniable. Let children discover the pattern before explaining it.

Assessment

Child finds and records equivalent fractions and identifies the pattern.

More from Mathematics

• Adding Fractions with Like Denominators
• Fractions of a Set
• Greater Than, Less Than
• Ordering Numbers to 100
• Number Bonds to 10
• Doubles and Near Doubles
• Making Ten Strategy
• Measuring Length with Non-Standard Units