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Math lesson plan · 4th grade (Year 5 in England) · 60 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 · 6 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. 2/3 = ?/27 → 18Prompt: What was 3 multiplied by to get 27?
  2. 7/10 = ?/20 → 14Prompt: What was 10 multiplied by to get 20?
  3. 1/8 = 2/? → 16Prompt: What was 1 multiplied by to get 2?

Hook · 6 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 · 12 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 · 12 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: Hana drank 1/2, Ana drank 3/5, Nia drank 7/10. Who drank the most? (Hana / Ana / Nia) → NiaPrompt: Find a common denominator.
  2. Three friends drank from same-sized bottles: Arjun drank 1/3, Priya drank 1/4, Daniel drank 5/12. Who drank the most? (Arjun / Priya / Daniel) → DanielPrompt: Find a common denominator.

You do: independent practice · 17 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 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 7 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: Yuki drank 1/2, Elena drank 3/5, Sam drank 7/10. Who drank the most? (Yuki / Elena / Sam) → SamPrompt: Find a common denominator.
  2. Three friends drank from same-sized bottles: Priya drank 1/2, Lucia drank 3/5, Kofi drank 7/10. Who drank the most? (Priya / Lucia / Kofi) → KofiPrompt: 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/ 8

  1. Question 1

    Three friends drank from same-sized bottles: Mei drank 2/3, Sam drank 3/4, Jamal drank 5/8. Who drank the most?

    • A. Mei
    • B. Sam
    • C. Jamal
  2. Question 2

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

    • A. Ben
    • B. Sam
    • C. Daniel
  3. Question 3

    Three friends drank from same-sized bottles: Daniel drank 2/3, Ravi drank 3/4, Mei drank 5/8. Who drank the most?

    • A. Daniel
    • B. Ravi
    • C. Mei
  4. Question 4

    Three friends drank from same-sized bottles: Kai drank 3/4, Sam drank 5/6, Sofia drank 2/3. Who drank the most?

    • A. Kai
    • B. Sam
    • C. Sofia
  5. Question 5

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

    • A. Elena
    • B. Nia
    • C. Ravi
  6. Question 6

    Three friends drank from same-sized bottles: Daniel drank 3/4, Tariq drank 5/6, Ines drank 2/3. Who drank the most?

    • A. Daniel
    • B. Tariq
    • C. Ines
  7. Question 7

    Three friends drank from same-sized bottles: Noah drank 2/3, Jamal drank 3/4, Nia drank 5/8. Who drank the most?

    • A. Noah
    • B. Jamal
    • C. Nia
  8. Question 8

    Three friends drank from same-sized bottles: Aisha drank 3/4, Grace drank 5/6, Mei drank 2/3. Who drank the most?

    • A. Aisha
    • B. Grace
    • C. Mei

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Answer key: Order fractions with different denominators

  1. 1. B. Sam

  2. 2. C. Daniel

  3. 3. B. Ravi

  4. 4. B. Sam

  5. 5. C. Ravi

  6. 6. B. Tariq

  7. 7. B. Jamal

  8. 8. B. Grace