FOCUS QUESTION
EVALUATE
FOLLOW UP PRACTICE EXERCISE
🧮 Grade 6 Mathematics Lesson Plan
📘Topic: Representing Shared Portions – Ratio and Percentage
⏰Duration: 1 Hour
🎯Focus Question: “How can I represent shared portions?”
🎓Objectives:
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Apply the concept of ratio to percentage forms and use the symbol % correctly.
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Solve problems requiring the conversion of fractions to percentages and vice versa.
🔍 5E Model Lesson Plan
1. Engage (10 minutes)
Activity: “Let’s Share a Chocolate Bar”
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Show students a chocolate bar divided into 10 pieces using a real object or image.
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Ask:
"If you and your friend share 3 out of 10 pieces, how much did you get in terms of a fraction? A ratio? Can you guess the percentage?"
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Record and discuss responses.
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Connect this to the idea of expressing shared portions in different ways (fraction, ratio, percent).
🌟 STEM Integration: Use digital polling (Mentimeter or Google Form) to collect and display responses live as percentages and fractions.
2. Explore (15 minutes)
Hands-On Group Activity: “Fraction–Ratio–Percentage Match-Up”
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Students are placed in mixed-ability groups of 3–4.
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Each group receives a set of cards with:
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Fractions (e.g., 1/2, 1/4, 3/5)
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Ratios (e.g., 1:2, 3:5)
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Percentages (e.g., 50%, 25%, 60%)
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Task: Match each fraction with its equivalent ratio and percentage.
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Discuss patterns (e.g., "A ratio of 1:4 means 1 part out of 5, so what percent is that?").
🧩 Differentiation:
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Provide scaffolded hints for struggling students (e.g., fraction bars or conversion charts).
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Challenge early finishers to create their own set of match-up cards for peers.
3. Explain (10 minutes)
Mini-Lesson: Converting Forms
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Model with board visuals:
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How to convert fraction → percent
(e.g., ) -
Percent → fraction
(e.g., ) -
Ratio → percent
(e.g., )
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Emphasize correct use of the % symbol.
📘Students take notes and work through 2 examples together.
4. Elaborate (15 minutes)
STEM Challenge: “Data Detectives”
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Students collect real-world data from a mock STEM survey (e.g., Favorite Juice Flavors: Apple – 6, Orange – 3, Pineapple – 1).
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Convert the results into:
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Fractions (e.g., 6/10)
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Ratios (e.g., 6:10 or simplified)
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Percentages (e.g., 60%)
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Share group findings and reflect:
“How does representing shared portions in different forms help us interpret data clearly?”
📊 STEM Integration: Represent survey results using a simple bar graph or pie chart in Excel or Google Sheets.
5. Evaluate (10 minutes)
Three-Tier Differentiated Assessment Task
Tier | Task Description |
---|---|
Tier 1 (Support) | Match the following: ½ → 50%, 25% → ¼, etc. (Simple match-up worksheet with visuals) |
Tier 2 (Core) | Convert the following: a) ¾ to % b) 40% to a fraction c) 2:5 to a % |
Tier 3 (Challenge) | Word Problem: “A class of 25 students has 10 girls. What percentage of the class are girls? Express as a fraction, a ratio, and a percentage.” |
✅ Collect and review student work to determine mastery and misconceptions.
✨ Closure (Quick Wrap-Up) – 5 Minutes
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Revisit the focus question:
“How can I represent shared portions?”
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Students respond using all three forms: fraction, ratio, percentage.
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Homework (optional): Convert 5 real-life scenarios (e.g., sports wins/losses, meals eaten) into fraction, ratio, and percentage.
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