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Math lesson plan 路 3rd grade (Year 4 in England) 路 45 minutes

Compare fractions with the same numerator or denominator

Fractions

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

Objective and success criteria

Students will: Compare 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: Fractions on a number line

Leads to: Compare fractions; Order fractions with the same numerator or denominator; Compare fractions using one half as a benchmark

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

Warm-up 路 5 min

  • Quick retrieval from earlier learning (Fractions on a number line). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook 路 5 min

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

I do: model it 路 10 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 10 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 10 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 5 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: Fractions on a number line.
  • 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 fractions; Order fractions with the same numerator or denominator; Compare fractions using one half as a benchmark.
  • 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

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Compare fractions with the same numerator or denominator

Name

Date

Score/ 8

  1. Question 1

    Which is greater: 1/10 or 1/3?

    • A. 1/10
    • B. 1/3
  2. Question 2

    Choose the sign: 3/6 __ 4/6

    • A. <
    • B. >
  3. Question 3

    Which is greater: 1/5 or 1/10?

    • A. 1/5
    • B. 1/10
  4. Question 4

    Choose the sign: 3/10 __ 4/10

    • A. <
    • B. >
  5. Question 5

    Which is greater: 1/5 or 1/4?

    • A. 1/5
    • B. 1/4
  6. Question 6

    Choose the sign: 4/6 __ 2/6

    • A. <
    • B. >
  7. Question 7

    Which is greater: 1/2 or 1/10?

    • A. 1/2
    • B. 1/10
  8. Question 8

    Choose the sign: 4/10 __ 8/10

    • A. <
    • B. >

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Answer key: Compare fractions with the same numerator or denominator

  1. 1. B. 1/3

  2. 2. A. <

  3. 3. A. 1/5

  4. 4. A. <

  5. 5. B. 1/4

  6. 6. B. >

  7. 7. A. 1/2

  8. 8. A. <