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Math lesson plan · 3rd grade (Year 4 in England) · 30 minutes

Add and subtract fractions with the same denominator within one whole

Fractions

CCSS 4.NF.B.3.AEngland: Y3 Fractions

Objective and success criteria

Students will: Add and subtract fractions with the same denominator within one whole.

  • 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: Understand fractions a/b

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 · 4 min

  • Quick retrieval from earlier learning (Understand fractions a/b). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

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: Add and subtract fractions with the same denominator within one whole. 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: Grace says 2/10 + 3/10 = 5/20. Spot the mistake. What is the right answer?
  • Step 1: Grace added the denominators too.
  • Step 2: 5/10
  • Answer: 5/10
  • 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. Priya says 4/10 + 5/10 = 9/20. Spot the mistake. What is the right answer? → 9/10Prompt: When you add parts of the same size, does the size of the parts change?
  2. Mateo says 1/5 + 1/5 = 2/10. Spot the mistake. What is the right answer? → 2/5Prompt: When you add parts of the same size, does the size of the parts change?

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. Sam says 3/10 + 6/10 = 9/20. Spot the mistake. What is the right answer? → 9/10Prompt: When you add parts of the same size, does the size of the parts change?
  2. Sofia says 2/10 + 5/10 = 7/20. Spot the mistake. What is the right answer? → 7/10Prompt: When you add parts of the same size, does the size of the parts change?

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: Understand fractions a/b.
  • 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

Add and subtract fractions with the same denominator within one whole

Name

Date

Score/ 6

  1. Question 1

    Sofia says 1/10 + 6/10 = 7/20. Spot the mistake. What is the right answer?

    Answer(as a fraction)

  2. Question 2

    3/8 + 1/8 = ?

    Answer(as a fraction)

  3. Question 3

    6/7 − 4/7 = ?

    Answer(as a fraction)

  4. Question 4

    Yuki says 2/8 + 2/8 = 4/16. Spot the mistake. What is the right answer?

    Answer(as a fraction)

  5. Question 5

    2/7 + 4/7 = ?

    Answer(as a fraction)

  6. Question 6

    3/6 − 2/6 = ?

    Answer(as a fraction)

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Answer key: Add and subtract fractions with the same denominator within one whole

  1. 1. 7/10

  2. 2. 4/8

  3. 3. 2/7

  4. 4. 4/8

  5. 5. 6/7

  6. 6. 1/6