Grade 5 Fraction Addition Lesson Plan
Lesson Overview
Subject: Mathematics
Grade Level: 5
Duration: 60 minutes
Topic: Adding Fractions with Like Denominators
Learning Objectives
By the end of this lesson, students will be able to:
- Add fractions with the same denominator using visual models
- Explain why only numerators are added when denominators are the same
- Solve real-world problems involving fraction addition
- Identify when fraction sums can be simplified
Materials Needed
- Fraction circles or bars (physical or digital)
- Chart paper and markers
- Student worksheets
- Pizza/pie cutouts for demonstration
- Colored pencils/crayons
Lesson Structure
Opening Hook (10 minutes)
The Pizza Problem
Present this scenario: "Maria ate 2/8 of a pizza for lunch and 3/8 of the same pizza for dinner. How much pizza did she eat in total?"
Have students discuss in pairs what they think the answer might be and why. Collect a few responses without confirming right or wrong answers.
Direct Instruction (15 minutes)
Step 1: Visual Introduction
Use a large pizza circle divided into 8 equal pieces on the board.
- Color 2 pieces red (representing 2/8)
- Color 3 pieces blue (representing 3/8)
- Ask: "How many pieces are colored in total?"
- Lead students to see that 2 + 3 = 5, so the answer is 5/8
Step 2: Establish the Pattern
Show several examples using fraction bars:
- 1/6 + 2/6 = 3/6
- 3/10 + 4/10 = 7/10
- 2/5 + 1/5 = 3/5
Ask students: "What do you notice about how we add these fractions?"
Step 3: Introduce the Rule
"When fractions have the same denominator (bottom number), we add the numerators (top numbers) and keep the denominator the same."
Write the formula: a/c + b/c = (a+b)/c
Guided Practice (15 minutes)
Activity 1: Fraction Circle Practice
In small groups, students use fraction circles to solve:
- 2/6 + 1/6
- 3/8 + 2/8
- 1/4 + 2/4
- 4/10 + 3/10
Students must show their work with the manipulatives and write the number sentence.
Activity 2: Real-World Applications
Present these problems for groups to solve:
- "Jake ran 3/10 of a mile in the morning and 4/10 of a mile in the evening. How far did he run total?"
- "Sarah used 1/3 cup of flour for cookies and 1/3 cup for bread. How much flour did she use altogether?"
Independent Practice (15 minutes)
Students complete a worksheet with:
- 8 basic addition problems with like denominators
- 3 word problems
- 2 challenge problems where they need to simplify the answer (like 4/6 = 2/3)
Closure and Assessment (5 minutes)
Exit Ticket
Each student solves: 2/7 + 3/7 = ?
They must:
- Draw a picture to show their thinking
- Write the number sentence
- Explain in one sentence why their answer makes sense
Differentiation Strategies
For Advanced Learners:
- Include problems that result in improper fractions (like 5/4 + 3/4)
- Challenge them to simplify their answers
- Introduce mixed number conversion
For Struggling Learners:
- Provide extra manipulatives and visual supports
- Start with smaller denominators (halves, thirds, fourths)
- Pair with a math buddy for peer support
- Use larger, more colorful visual aids
For English Language Learners:
- Pre-teach vocabulary: numerator, denominator, fraction, equal parts
- Provide sentence frames: "__ plus __ equals __"
- Use extra visual representations and gestures
Assessment Methods
Formative Assessment:
- Observe student use of manipulatives during guided practice
- Listen to group discussions and explanations
- Review exit tickets for understanding
Summative Assessment:
- Independent practice worksheet scores
- Ability to explain reasoning using mathematical language
- Accuracy in real-world problem solving
Homework Assignment
Students complete 6 fraction addition problems and find 2 examples of fractions in their home (recipes, measurements, etc.) to share tomorrow.
Extension Activities
- Create their own fraction addition word problems
- Use online fraction games for additional practice
- Explore what happens when you add fractions with different denominators (preview for next lesson)
Common Misconceptions to Address
- Adding both numerators AND denominators (2/3 + 1/3 = 3/6)
- Forgetting to simplify when possible
- Confusing addition with multiplication of fractions
Reflection Questions for Teacher
- Did students grasp the concept of adding numerators while keeping denominators the same?
- Which visual models were most effective for student understanding?
- Are students ready to move on to unlike denominators, or do they need more practice with like denominators?