Fractions (Equivalent & Simplification)

Grade 5 · Mathematics

Semester 1 | Period 1 | Week 5

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Subject: Mathematics

Semester: 1

Period: 1

Week: 5

School Name:
Teacher’s Name:
Subject: Mathematics
Grade Level: Grade 5
Date: Week 5
Lesson Duration: 45 minutes
Week & Period: Week 5, Period 1
Topic: Fractions (Equivalent & Simplification)
Sub-topic: Equivalent Fractions and Simplifying Fractions

Learning Objectives
By the end of the lesson, students should be able to:

  1. Define equivalent fractions.
  2. Simplify fractions to their lowest terms.
  3. Solve real-life problems using equivalent fractions.

Previous Knowledge
Students already know fractions as part of a whole.

Instructional Materials
Square paper, folding sheets, counters

Lesson Development – ABC Model
A – Anticipation (Warm-up / Starter)
Time: 5–10 minutes
Teacher shows ½ of a square and asks: “Can this be shown differently?”

B – Building Knowledge (Main Lesson Body)

Time: 25–30 minutes

Definitions & Explanations

  1. Equivalent Fractions
    Fractions that represent the same value or portion of a whole, even though they have different numerators and denominators.
    • They can be found by multiplying or dividing both the numerator and denominator by the same non-zero number.
    • Example:

1/2=2/4=3/6=4/8

  • These fractions look different but equal the same part of a whole.
  1. Simplifying Fractions
    Also called reducing fractions, this is the process of making fractions simpler but equivalent by dividing the numerator and denominator by their Greatest Common Factor (GCF).
    • Example:
      Simplify 12/16 by dividing numerator and denominator by 4:

12÷4= 3

16÷4=4

12/16= 3/4

  • A simplified fraction has numerator and denominator with no common factors except 1.

 

🔢 More Examples

Equivalent Fractions by Multiplying:

  • Show 2/3=4/6 by multiplying numerator and denominator by 2:

2×2=4

3×2= 6

Show 5/7=15/21 by multiplying numerator and denominator by 3:

5×3=15

7×3=21

Equivalent Fractions by Dividing (Simplifying):

  • Simplify 18/24
    GCF of 18 and 24 is 6, so:

18÷6= 3

24÷6=4

18/24=3/4

  • Simplify 20/25:
    GCF is 5, so:

20÷5=4

25÷5=5

20/25=4/5

📝 Word Problems (Expanded)

  1. Recipe Doubling:
    A recipe requires 1/2 cup of sugar. If the recipe is doubled, how much sugar is needed?

2×1/2=2/2=1 cup

  1. Rope Length Simplification:
    A rope is 12/18 meters long. Simplify the length.

12÷6=2

18÷6=3 

12/18=2/3 meters

  1. Sharing Cake:
    You cut a cake into 8 pieces. Your friend eats 4/8. Simplify the fraction to show how much was eaten.

4÷4=1

8÷4=2

4/8=1/2

 

👩🏽‍🏫 Learners’ Activities (Expanded)

  1. Paper Folding to Show Equivalent Fractions:
    • Students fold square paper into halves, quarters, sixths, etc.
    • They shade equivalent parts and compare to visualize equivalent fractions like 1/2=2/4=4/8
  2. Group Fraction Simplification:
    • Teacher gives different fractions.
    • Groups find the GCF of numerator and denominator to simplify the fractions.
    • Example fractions: 15/20, 18/27, 24/36.
  3. Multiplying to Find Equivalent Fractions:
    • Pairs create equivalent fractions by multiplying both parts by numbers 2, 3, or 4.
  4. Fraction Matching Game:
    • Cards with fractions and equivalent simplified forms are matched by students.

 

✅ Assessment Checks

  1. Simplify these fractions:
    • 15/20
    • 10/25
    • 18/24
  2. Find an equivalent fraction for 3/5 by multiplying numerator and denominator by 4.
  3. True or False:
    • 2/4 is equivalent to 1/2.
    • 6/9 cannot be simplified.
    • 8/12 simplified is 2/3.
  4. Oral Question:
    • What do we call fractions that have the same value but different numerators and denominators?

 

📎 Notes (Expanded & Detailed)

  • Multiplying numerator and denominator by the same number does not change the value of the fraction; it only changes how the fraction looks. This is how equivalent fractions are formed.
  • Simplifying fractions makes calculations easier and helps us compare fractions more easily.
  • Always simplify fractions to their lowest terms for clarity.
  • Use the Greatest Common Factor (GCF) to simplify fractions effectively.
  • Visual aids such as fraction strips and folded paper can help learners grasp the concept better.

C – Consolidation (Conclusion & Assessment)
Time: 5–10 minutes
Summary: Teacher reviews equivalence and simplification of fractions.

Evaluation Method (Expanded):
Exit slip/quiz: Write 2 fractions equivalent to ¾. Simplify 18/24.

Assignment (Expanded):
Exercises from textbook on equivalent fractions.

Follow-up Activity:
Learners find real-life examples of fractions at home.

Differentiation / Inclusive Strategies
Provide visual aids for weaker learners; challenge advanced students with harder problems.

Teacher’s Reflection (After Class)
• What worked well? ___________________________________________
• What needs improvement? ____________________________________
• Students’ engagement level: ☑ High ☑ Medium ☑ Low