MathIsimple
Lesson 3-3: Equivalent Fractions

Equivalent Fractions

Discover equivalent fractions through visual models and learn how different fractions can represent the same amount.

50 minutesFraction EquivalenceCake SharingVisual Models
Learning Scenario: Cake Sharing Discovery

The Discovery:

You have a cake and cut it into 2 equal pieces. You take 1 piece (1/2). Your friend cuts the same cake into 4 equal pieces and takes 2 pieces (2/4). Who got more cake? Let's find out!

Cake Sharing Discovery

Equivalent Fractions:

You: 1/2 of the cake
Friend: 2/4 of the cake
Both got the same amount!
Answer: 1/2 = 2/4 (equivalent fractions)

Learning Activities

Master equivalent fractions through interactive activities and visual models

Knowledge Points Display
Activity 1
Learn equivalent fractions with our friendly math teacher. Master visual models through interactive demonstrations.

Key Features:

  • Interactive fraction models
  • Step-by-step equivalence process
  • Visual equivalence strategies
  • Progress tracking with milestones

Skills You'll Learn:

  • 1/2 = 2/4 = 4/8
  • 1/3 = 2/6 = 3/9
  • 2/3 = 4/6 = 6/9
  • Find equivalent fractions
Interactive Practice
Activity 2
Practice equivalent fractions through cake sharing scenarios. Learn to find equivalent fractions using visual models.

Key Features:

  • Cake sharing simulation
  • Interactive fraction equivalence
  • Visual model guidance
  • Real-world applications

Skills You'll Learn:

  • 1/2 = 2/4 (same amount, different parts)
  • 1/3 = 2/6 (same amount, different parts)
  • 2/3 = 4/6 (same amount, different parts)
  • Use fraction strips to find equivalents
Examples Library
Activity 3
Explore various equivalent fraction examples with different strategies and practice problems.

Key Features:

  • Multiple equivalence types
  • Different visual strategies
  • Step-by-step solutions
  • Interactive practice problems

Examples:

  • 1/2 = 2/4 = 4/8
  • 1/3 = 2/6 = 3/9
  • 2/3 = 4/6 = 6/9
  • 1/4 = 2/8 = 3/12
Equivalent Fractions Guide

What are Equivalent Fractions?

Same amount, different parts

Different fractions that represent the same value

Visual proof

When shaded, they cover the same area

Mathematical proof

Cross multiply to check: 1×4 = 2×2

Finding Equivalent Fractions:

Multiply numerator and denominator

1/2 = 2/4 (×2), 1/2 = 3/6 (×3)

Divide numerator and denominator

4/8 = 2/4 (÷2), 4/8 = 1/2 (÷4)

Use fraction strips

Visual tool to find equivalent fractions

Check your work

Cross multiply to verify equivalence

Practice Examples

Cake Sharing Problems:

1/2 = 2/4: Same amount, different parts

1/3 = 2/6: Same amount, different parts

2/3 = 4/6: Same amount, different parts

1/4 = 2/8: Same amount, different parts

Finding Equivalents:

1/2 = ?/4: 1×4 = 2×2, so 2/4

1/3 = ?/6: 1×6 = 3×2, so 2/6

2/3 = ?/9: 2×9 = 3×6, so 6/9

Check: Cross multiply to verify

Ready for the next unit?

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