Lesson Overview
This lesson focuses on teaching Grade 5 learners how to add and subtract common fractions with the same denominator, building conceptual understanding through visual models and practical activities. Learners will develop fluency in fraction operations while connecting to real-world contexts.
Lesson Plan
Lesson Information
- Subject: Mathematics
- Grade: 5
- Term: 3
- Week: 7
- Duration: 60 minutes
- Date: September 2025
- Topic/Theme: Addition and Subtraction of Common Fractions with Same Denominator
Curriculum Alignment
- CAPS Content Area: Numbers, Operations and Relationships – Common Fractions
- Specific Aims: Develop confidence and fluency in mathematical thinking and reasoning to solve mathematical and real-life problems
- Learning Outcomes: Learners will be able to perform addition and subtraction calculations with common fractions having the same denominator
Lesson Objectives
By the end of this lesson, learners will be able to:
- Add common fractions with the same denominator accurately
- Subtract common fractions with the same denominator accurately
- Represent fraction addition and subtraction using visual models (fraction circles, bars, or number lines)
- Solve simple word problems involving addition and subtraction of fractions
Key Vocabulary (Top 5 Most Important Terms)
- Numerator – The top number in a fraction that shows how many parts are counted
- Denominator – The bottom number in a fraction that shows how many equal parts the whole is divided into
- Common fractions – Fractions that have the same denominator
- Addition – The process of combining fractions (adding numerators, keeping the same denominator)
- Subtraction – The process of taking away fractions (subtracting numerators, keeping the same denominator)
Previous Learning
What learners should already know:
- Identify and name common fractions (halves, thirds, quarters, fifths, sixths, sevenths, eighths)
- Understand that fractions represent parts of a whole
- Compare and order common fractions using visual representations
- Recognise equivalent fractions in simple forms
Connection to prior lessons:
- Previous weeks focused on describing and ordering fractions, and understanding equivalent forms
Resources and Materials
- Fraction circles or fraction bars (physical or drawn)
- Whiteboard and markers
- Worksheets with fraction addition and subtraction problems
- Number lines marked in fractions
- Coloured pencils or crayons
- Pizza or cake cut-outs for practical demonstrations
Lesson Structure
Beginning (Introduction) – 10 minutes
Hook/Attention Grabber:
- Show learners two pizzas cut into eighths. “If I eat 2/8 of the first pizza and 3/8 of the second pizza, how many eighths have I eaten in total?”
Introduction Activities:
- Quick review: Ask learners to identify the numerator and denominator in fractions like 3/5, 2/7, 4/9
- Introduce the lesson objective: “Today we’ll learn how to add and subtract fractions that have the same bottom number (denominator)”
Middle (Main Lesson Activities) – 40 minutes
Direct Instruction (15 minutes):
- Demonstrate using fraction circles: 2/8 + 3/8 = 5/8
- Explain the rule: “When fractions have the same denominator, we add the numerators and keep the denominator the same”
- Show subtraction example: 7/10 – 3/10 = 4/10
- Emphasize: “Same rule for subtraction – subtract numerators, keep the denominator”
Guided Practice (15 minutes):
- Work through examples together: 1/6 + 4/6, 8/12 – 5/12, 3/7 + 2/7
- Use visual models for each example (draw fraction bars on the board)
- Encourage learners to explain their thinking
- Practice identifying when answers can be simplified (e.g., 6/8 = 3/4)
Independent Practice (10 minutes):
- Learners complete worksheet with 8-10 fraction addition and subtraction problems
- Include real-world problems: “Sarah ate 2/8 of a chocolate bar in the morning and 3/8 in the afternoon. How much did she eat in total?”
- Provide fraction circles for learners who need visual support
End (Conclusion) – 10 minutes
Consolidation Activity:
- Quick game: “Fraction Match” – call out addition or subtraction problems, learners show answers using fraction cards
- Review the key rule: “Same denominator – add or subtract numerators, keep denominator the same”
Exit Ticket/Quick Assessment:
- Each learner solves: 4/9 + 2/9 = ? and 7/12 – 3/12 = ? on a small piece of paper before leaving
Assessment and Checks for Understanding
Formative Assessment:
- Observe learners during guided practice for conceptual understanding
- Listen to explanations when learners describe their thinking
- Check independent worksheet completion for accuracy
- Monitor use of visual models
Summative Assessment:
- Exit ticket responses
- Completed worksheet with fraction calculations
Success Criteria:
- Learners can correctly add fractions with same denominators in at least 7/10 problems
- Learners can correctly subtract fractions with same denominators in at least 7/10 problems
- Learners can explain the rule for adding/subtracting fractions with same denominators
Differentiation Strategies
For learners who need support:
- Provide concrete manipulatives (fraction pieces) for all calculations
- Use simpler fractions with smaller denominators (halves, thirds, quarters)
- Work in pairs with a more confident peer
- Provide step-by-step visual guides
For advanced learners:
- Introduce mixed numbers (1 2/5 + 3/5)
- Challenge with word problems requiring multiple steps
- Explore when answers need to be simplified
- Create their own fraction word problems for classmates
For learners with barriers to learning:
- Use larger visual aids and manipulatives
- Break down the lesson into smaller chunks with frequent breaks
- Provide additional one-on-one support during independent practice
- Allow use of calculators for checking answers
Homework/Extension Activities
- Complete 5 additional fraction addition and subtraction problems
- Find examples of fractions at home (cooking measurements, time) and practice adding/subtracting them
- Draw pictures to show 3/8 + 2/8 and 5/6 – 2/6
Additional Resources
- Online Tools: Fraction calculators for checking work
- Manipulatives: Cut circles or rectangles into equal parts for hands-on practice
- Real-world Connections: Cooking recipes, measuring cups, sharing food items
- Extension Reading: “Fractions in Disguise” – mathematical picture books
Teacher Notes
Implementation Tips
- Common Misconceptions: Learners often want to add denominators too – emphasize that denominators stay the same
- Visual Models: Always use visual representations before moving to abstract calculations
- Language: Use consistent mathematical language – “numerator” and “denominator” rather than “top” and “bottom”
- Pacing: Some learners may need additional lessons to master this concept
Reflection Notes
What worked well:
[Teacher to complete after lesson]
What could be improved:
[Teacher to complete after lesson]
Notes for next lesson:
[Teacher to complete after lesson – may include follow-up on fractions with different denominators or mixed numbers]