Week Essential Question

How can I add fractions with like denominators to solve problems?

---

Standards Alignment

CCSS.MATH.CONTENT.6.NS.A.1
Interpret and compute sums and differences of fractions with like denominators.

---

Day 1: Understanding Fractions with Common Denominators

Learning Intention

• I can identify fractions with the same denominators and understand what they mean.

Success Criteria

• I can explain what the numerator and denominator represent.
• I can recognize fractions with the same denominator.
• I can represent fractions with like denominators on a visual model.

Materials

• Fraction circles or fraction bars
• Whiteboard & markers
• Student math notebooks

Activities

1. Warm-up (10 mins):
   Quick review of numerator and denominator using visual fraction models. Call on several students to explain these parts verbally.
2. Direct Instruction (15 mins):
   Teacher models identifying common denominators and representing fractions (e.g., 1/4, 3/4) using fraction bars and circles. Use real-life contexts (like pizza slices).
3. Guided Practice (20 mins):
   Students work in pairs with fraction manipulatives to identify fractions that have the same denominators. They create visual models and share.
4. Reflection & Sharing (10 mins):
   Groups explain one fraction pair they identified and how they represented it.

Assessment

• Teacher observes group work and asks students quick questions to check understanding.
• Exit ticket: Write an example of two fractions with the same denominator.

---

Day 2: Adding Fractions with Like Denominators - Concept

Learning Intention

• I can add fractions with the same denominator by adding numerators.

Success Criteria

• I can explain why denominators stay the same when adding fractions.
• I can correctly add two fractions with like denominators.
• I can use visual models to show addition of fractions.

Materials

• Fraction circles/bars
• Whiteboard
• Worksheet with simple addition problems (no word problems yet)

Activities

1. Warm-up (5 mins):
   Review yesterday’s fractions with common denominators.
2. Direct Instruction (15 mins):
   Demonstrate adding fractions like 2/7 + 3/7 using fraction bars and number line. Emphasize that denominators remain the same and numerators add.
3. Guided Practice (20 mins):
   Students solve 10 fraction addition problems with like denominators on mini whiteboards, then compare answers with a partner. Use fraction circles for support.
4. Think-Pair-Share (10 mins):
   Students explain in their own words why denominators stay the same.
5. Reflection (5 mins):
   Journal prompt: “Explain how to add fractions with the same denominator.”

Assessment

• Teacher circulates to check student answers during guided practice.
• Collection of journals to assess student’s conceptual understanding.

---

Day 3: Adding More Than Two Fractions

Learning Intention

• I can add three or more fractions with the same denominator.

Success Criteria

• I can correctly add multiple fractions with like denominators.
• I can use visual aids to support adding more fractions.
• I can explain how grouping does not change the sum.

Materials

• Fraction circles/bars
• Whiteboard
• Worksheet with addition of 3+ fractions

Activities

1. Warm-up (5 mins):
   Quick review: 2/5 + 3/5 = ?
2. Direct Instruction (15 mins):
   Model adding three fractions (e.g., 1/8 + 2/8 + 3/8) step-by-step with visuals and number line. Discuss commutative property.
3. Guided Practice (20 mins):
   Students complete a worksheet adding 3 or more fractions with common denominators. Let them use fraction circles or bars.
4. Partner Discussion (10 mins):
   Partners explain how they grouped fractions and solved them. Encourage use of math vocabulary.
5. Reflection (5 mins):
   Write an “I Can” statement about adding multiple fractions.

Assessment

• Exit ticket: Add 1/6 + 2/6 + 3/6 and explain your answer.

---

Day 4: Writing and Solving Word Problems

Learning Intention

• I can solve word problems that involve adding fractions with the same denominator.

Success Criteria

• I can identify important information in word problems.
• I can write number sentences to solve these problems.
• I can explain my reasoning.

Materials

• Word problem worksheets
• Chart paper with problem-solving steps
• Whiteboard

Activities

1. Warm-up (5 mins):
   Review addition facts of fractions with common denominators.
2. Explicit Instruction (15 mins):
   Teacher models how to read a word problem, underline key info, and write the equation. Example: "Sally ate 2/5 of a cake and then ate 1/5 more. How much did she eat total?"
3. Guided Practice (20 mins):
   Students work in groups solving 3 word problems on chart paper, discuss answers using sentence frames.
4. Independent Practice (10 mins):
   Students solve a word problem individually and write a short explanation of their thinking.
5. Reflection & Sharing (5 mins):
   Volunteers share their problem-solving process.

Assessment

• Teacher reviews group work and individual problem solutions for accuracy and explanation.

---

Day 5: Applying and Reflecting: Review and Mini-Assessment

Learning Intention

• I can confidently add fractions with like denominators and solve related word problems.

Success Criteria

• I can add two or more fractions accurately.
• I can solve and explain word problems using addition of fractions.
• I can reflect on what strategies helped me succeed.

Materials

• Mini-assessment sheets
• Exit ticket slips
• Fraction manipulatives (optional)

Activities

1. Warm-up (5 mins):
   Brief review game: “Fraction Addition Bingo” focusing on sums with common denominators.
2. Mini-assessment (30 mins):
   10 problems involving:
   • Adding two fractions with same denominators
   • Adding three or more fractions
   • Word problems involving addition of fractions
3. Reflection & Goal Setting (15 mins):
   Students write a paragraph answering: “What did I learn this week about adding fractions? What can I do better next time?”
4. Exit Ticket (10 mins):
   Write an “I Can” statement about the week’s learning and one question they still have.

Assessment

• Mini-assessment graded to check mastery.
• Reflection journals reviewed for depth of understanding.

---

Additional Teacher Notes

• Use fraction manipulatives daily to support concrete understanding.
• Encourage math vocabulary use: numerator, denominator, sum, common denominators.
• Differentiate by providing peer support or extension tasks for advanced learners.

---

Bonus: Cross-Curricular Extension (History Worksheet Request)

Sumerian Period Mini-History Worksheet for 6th Grade (To connect social studies with math critical thinking)

• Students read a short passage on the Sumerians and answer questions such as:
  • When did the Sumerian period occur?
  • What types of math did the Sumerians use?
  • How could early fraction concepts have been important in their society?

This reinforces reading comprehension and allows integration of math history concepts in an engaging way.

---

This detailed, scaffolded, standards-aligned plan will engage diverse learners while building deep conceptual and procedural fluency in adding fractions with common denominators.