Fraction Addition Made Fun

Lesson Overview

• Subject: Mathematics
• Unit: Fraction Fun Adventures (Lesson 5 of 9)
• Topic: Adding Fractions with Like Denominators
• Year Group: Year 3
• Class Size: 1 student
• Lesson Duration: 60 minutes

UK National Curriculum Links

Curriculum Area: Number – Fractions (Measurement and Geometry, Year 3)

Learning Objective:

• To add fractions with the same denominator and recognise that the denominator remains unchanged.

National Curriculum Reference:

• Pupils should be taught to: "add and subtract fractions with the same denominator within one whole (for example, 5/7 + 1/7 = 6/7)" – Key Stage 2, Year 3

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Learning Outcomes

By the end of this lesson, the student will be able to:

1. Understand that when adding fractions with the same denominator, only the numerators are added.
2. Accurately solve addition problems involving fractions with like denominators.
3. Apply fraction addition to real-world problems.

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Lesson Structure

Starter Activity – Fraction Warm-Up (10 mins)

1. Quick Recap: Ask the student to define a fraction and identify the numerator and denominator.
2. Visual Flashcards: Show fraction strips (e.g., 1/4, 2/4, 3/4) and ask the student to arrange them in order.
3. Real-Life Connections: Ask, “If you ate 2/8 of a pizza and your friend ate 3/8, how much did you eat altogether?”

Purpose: The warm-up ensures the student recalls basic fraction knowledge before moving into addition.

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Main Teaching – Adding Fractions (15 mins)

1. Concrete Representation: Use physical fraction tiles (or paper cutouts) to show that when adding fractions with the same denominator, we only add the numerators. E.g.:
   • Use two 1/6 fraction tiles and one 1/6 fraction tile to visually show 1/6 + 2/6 = 3/6.
2. Pictorial Representation: Draw bar models on a mini whiteboard or paper, shading sections to represent addition. Example:
   • Shade 2 out of 5 parts in one bar and 1 out of 5 parts in another. Combine to show 3/5.
3. Abstract Representation: Introduce number sentences, such as:
   • 2/9 + 4/9 = ?
   • Explain that because the denominators are the same, only the numerators need to be added.

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Guided Practice – Game Time! (15 mins)

1. Dice Fraction Roll:
   • Roll two dice. The first die represents the numerator, and the second one represents the denominator.
   • Do this twice to create two fractions with the same denominator (if needed, adjust the numbers to ensure like denominators).
   • The student adds the two fractions together.
   • Challenge: If the answer simplifies, encourage the student to simplify the fraction.
2. Fraction Domino Matching:
   • Use pre-prepared fraction dominoes (paper cards).
   • Challenge: Match two fractions that add up to a given fraction (e.g., finding two fractions that sum to 5/8).

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Independent Practice – Word Problems (10 mins)

1. Solve real-world problems involving adding fractions with the same denominator. Examples include:

   • Lily drank 3/10 of her juice in the morning and 5/10 in the evening. How much did she drink in total?
   • A baker used 4/6 of a bag of flour on Monday and 2/6 on Tuesday. How much flour has been used in total?

2. Encourage the student to explain their reasoning aloud using full sentences (e.g., "I added the numerators because the denominators are the same, so….").

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Plenary – Fraction Puzzle (10 mins)

1. Give the student a set of fraction puzzle pieces where they match equations to their corresponding fraction bar representation.
2. Discuss: “Why do we keep the denominator the same when adding fractions?”
3. Encourage reflection: “Where might you use this skill in real life?” (e.g., sharing food, measuring ingredients in baking, etc.)

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Resources

• Fraction strips or paper cut-outs
• Whiteboard & markers
• Fraction dice (or standard dice with predetermined fractions)
• Printed fraction dominoes
• Word problem worksheets

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Differentiation

Support:

• Provide visual aids (fraction bars, number lines) to help conceptual understanding.
• Allow extra practice time with concrete materials before moving to abstract questions.

Challenge:

• Introduce improper fractions (e.g., 5/4 + 3/4) and discuss conversion to mixed numbers.
• Ask the student to create their own real-world fraction word problems.

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Assessment

• Observation: Monitor how confidently the student explains fraction addition.
• Questioning: Ask open-ended problems (“Can you represent this on a number line?”).
• Mini Quiz: Give three key fraction addition problems to check understanding before lesson ends.

This lesson ensures a fun and engaging way for the student to develop fraction addition skills, linking mathematical fluency with real-life application! 🎉