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Math lesson plan 路 3rd grade (Year 4 in England) 路 60 minutes

Order fractions with the same numerator or denominator

Fractions

CCSS 3.NF.A.3.DEngland: Y3 Fractions

Objective and success criteria

Students will: Order fractions with the same numerator or denominator.

  • 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 with the same numerator or denominator

Leads to: the next skill in this area.

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

Warm-up 路 6 min

  • Quick retrieval from earlier learning (Compare fractions with the same numerator or denominator). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook 路 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 the same numerator or denominator. Read the success criteria together.

I do: model it 路 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Model one question from the student sheet, thinking aloud.
  • Pause after each step and ask a student to say what comes next.

We do: guided practice 路 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.

You do: independent practice 路 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 路 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.

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 with the same numerator or denominator.
  • 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

  • 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-3.

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

eurekami

Order fractions with the same numerator or denominator

Name

Date

Score/ 8

  1. Question 1

    Ravi ate 1/3 of a pizza. Fatima ate 1/8 of the same size pizza. Fatima says "I ate more, because 8 is bigger than 3." Is Fatima right?

    • A. Yes, 1/8 is more
    • B. No, 1/3 is more
    • C. They ate the same

  2. Question 2

    Lucia ate 1/3 of a pizza. Zara ate 1/8 of the same size pizza. Zara says "I ate more, because 8 is bigger than 3." Is Zara right?

    • A. Yes, 1/8 is more
    • B. No, 1/3 is more
    • C. They ate the same

  3. Question 3

    Yuki ate 1/3 of a pizza. Omar ate 1/8 of the same size pizza. Omar says "I ate more, because 8 is bigger than 3." Is Omar right?

    • A. Yes, 1/8 is more
    • B. No, 1/3 is more
    • C. They ate the same

  4. Question 4

    Diego ate 1/3 of a pizza. Mateo ate 1/7 of the same size pizza. Mateo says "I ate more, because 7 is bigger than 3." Is Mateo right?

    • A. Yes, 1/7 is more
    • B. No, 1/3 is more
    • C. They ate the same

  5. Question 5

    Zoe ate 1/3 of a pizza. Chloe ate 1/6 of the same size pizza. Chloe says "I ate more, because 6 is bigger than 3." Is Chloe right?

    • A. Yes, 1/6 is more
    • B. No, 1/3 is more
    • C. They ate the same

  6. Question 6

    Isla ate 1/3 of a pizza. Ben ate 1/7 of the same size pizza. Ben says "I ate more, because 7 is bigger than 3." Is Ben right?

    • A. Yes, 1/7 is more
    • B. No, 1/3 is more
    • C. They ate the same

  7. Question 7

    Isla ate 1/5 of a pizza. Nia ate 1/10 of the same size pizza. Nia says "I ate more, because 10 is bigger than 5." Is Nia right?

    • A. Yes, 1/10 is more
    • B. No, 1/5 is more
    • C. They ate the same

  8. Question 8

    Fatima ate 1/7 of a pizza. Felix ate 1/8 of the same size pizza. Felix says "I ate more, because 8 is bigger than 7." Is Felix right?

    • A. Yes, 1/8 is more
    • B. No, 1/7 is more
    • C. They ate the same

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Answer key: Order fractions with the same numerator or denominator

  1. 1. B. No, 1/3 is more

  2. 2. B. No, 1/3 is more

  3. 3. B. No, 1/3 is more

  4. 4. B. No, 1/3 is more

  5. 5. B. No, 1/3 is more

  6. 6. B. No, 1/3 is more

  7. 7. B. No, 1/5 is more

  8. 8. B. No, 1/7 is more