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Math lesson plan · 4th grade (Year 5 in England) · 30 minutes

Order fractions with different denominators

Fractions

CCSS 4.NF.A.2England: Y5 Fractions

Objective and success criteria

Students will: Order fractions with different denominators.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Compare fractions; Find the missing number in equivalent fractions

Leads to: Compare and order fractions greater than 1

Materials: Fraction strips or a fraction wall, Paper strips to fold, Number lines, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 4 min

  • Quick retrieval from earlier learning (Compare fractions; Find the missing number in equivalent fractions). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 1/6 = ?/42 → 7Prompt: What was 6 multiplied by to get 42?
  2. 5/6 = ?/54 → 45Prompt: What was 6 multiplied by to get 54?
  3. 1/8 = ?/72 → 9Prompt: What was 8 multiplied by to get 72?

Hook · 3 min

  • Cut a pizza or a strip of paper unevenly and ask whether the pieces are really halves or quarters.
  • Share the objective: Order fractions with different denominators. Read the success criteria together.

I do: model it · 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Three friends drank from same-sized bottles: Chloe drank 1/3, Daniel drank 1/4, Felix drank 5/12. Who drank the most?
  • Step 1: 1/3 = 4/12, 1/4 = 3/12, 5/12 = 5/12
  • Step 2: Felix
  • Answer: Felix
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 6 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. Three friends drank from same-sized bottles: Hiro drank 1/2, Chloe drank 3/5, Grace drank 7/10. Who drank the most? (Hiro / Chloe / Grace) → GracePrompt: Find a common denominator.
  2. Three friends drank from same-sized bottles: Hana drank 1/3, Priya drank 1/4, Aisha drank 5/12. Who drank the most? (Hana / Priya / Aisha) → AishaPrompt: Find a common denominator.

You do: independent practice · 7 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Three friends drank from same-sized bottles: Zoe drank 3/4, Mateo drank 5/6, Ana drank 2/3. Who drank the most? (Zoe / Mateo / Ana) → MateoPrompt: Find a common denominator.
  2. Three friends drank from same-sized bottles: Luis drank 3/4, Fatima drank 5/6, Aisha drank 2/3. Who drank the most? (Luis / Fatima / Aisha) → FatimaPrompt: Find a common denominator.

Watch out for

  • Thinking a bigger denominator means a bigger fraction (1/8 > 1/4).
  • Adding the denominators when adding fractions (1/2 + 1/3 = 2/5).

Support and stretch

Support

  • Review first: Compare fractions.
  • Use concrete materials: fraction strips or a fraction wall.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Move on to: Compare and order fractions greater than 1.
  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-4.

Free lesson plan from eurekami.com/lesson-plan-builder

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Order fractions with different denominators

Name

Date

Score/ 6

  1. Question 1

    Three friends drank from same-sized bottles: Yuki drank 1/3, Amara drank 1/4, Mei drank 5/12. Who drank the most?

    • A. Yuki
    • B. Amara
    • C. Mei
  2. Question 2

    Three friends drank from same-sized bottles: Sofia drank 1/2, Arjun drank 3/5, Felix drank 7/10. Who drank the most?

    • A. Sofia
    • B. Arjun
    • C. Felix
  3. Question 3

    Three friends drank from same-sized bottles: Tariq drank 1/2, Ben drank 3/5, Ravi drank 7/10. Who drank the most?

    • A. Tariq
    • B. Ben
    • C. Ravi
  4. Question 4

    Three friends drank from same-sized bottles: Mateo drank 1/2, Ethan drank 3/5, Diego drank 7/10. Who drank the most?

    • A. Mateo
    • B. Ethan
    • C. Diego
  5. Question 5

    Three friends drank from same-sized bottles: Diego drank 1/2, Grace drank 3/5, Ines drank 7/10. Who drank the most?

    • A. Diego
    • B. Grace
    • C. Ines
  6. Question 6

    Three friends drank from same-sized bottles: Kai drank 1/3, Mei drank 1/4, Sam drank 5/12. Who drank the most?

    • A. Kai
    • B. Mei
    • C. Sam

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Answer key: Order fractions with different denominators

  1. 1. C. Mei

  2. 2. C. Felix

  3. 3. C. Ravi

  4. 4. C. Diego

  5. 5. C. Ines

  6. 6. C. Sam