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Math lesson plan · 4th grade (Year 5 in England) · 60 minutes

Add and subtract fractions with like denominators

Fractions

CCSS 4.NF.B.3England: Y4 FractionsEngland: Y5 Fractions

Objective and success criteria

Students will: Add and subtract fractions with like 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: Understand fractions a/b; Equivalent fractions

Leads to: Mixed numbers and improper fractions; Multiply a fraction by a whole number; Add and subtract fractions with unlike denominators

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 (Understand fractions a/b; Equivalent fractions). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

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: Add and subtract fractions with like 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: 3/5 − 2/5 = ?
  • Step 1: 3 − 2 = 1
  • Step 2: 3/5 − 2/5 = 1/5
  • Answer: 1/5
  • 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. 11/12 − 3/12 = ? → 8/12Prompt: Same denominators: subtract the numerators.
  2. Grace walked 3/8 of a mile to the park and then 2/8 of a mile to the library. How far did Grace walk in total? (Simplest form.) → 5/8Prompt: Add the two distances.

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. 4/10 − 2/10 = ? → 2/10Prompt: Same denominators: subtract the numerators.
  2. Luis walked 2/4 of a mile to the park and then 1/4 of a mile to the library. How far did Luis walk in total? (Simplest form.) → 3/4Prompt: Add the two distances.

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

  • Move on to: Mixed numbers and improper fractions; Multiply a fraction by a whole number; Add and subtract fractions with unlike denominators.
  • 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

eurekami

Add and subtract fractions with like denominators

Name

Date

Score/ 8

  1. Question 1

    Nia walked 4/8 of a mile to the park and then 3/8 of a mile to the library. How far did Nia walk in total? (Simplest form.)

    Answer(as a fraction)

  2. Question 2

    3/5 + 1/5 = ?

    Answer(as a fraction)

  3. Question 3

    4/5 − 3/5 = ?

    Answer(as a fraction)

  4. Question 4

    Leo walked 1/4 of a mile to the park and then 1/4 of a mile to the library. How far did Leo walk in total? (Simplest form.)

    Answer(as a fraction)

  5. Question 5

    2/7 + 3/7 = ?

    Answer(as a fraction)

  6. Question 6

    4/6 − 3/6 = ?

    Answer(as a fraction)

  7. Question 7

    Sofia walked 7/10 of a mile to the park and then 1/10 of a mile to the library. How far did Sofia walk in total? (Simplest form.)

    Answer(as a fraction)

  8. Question 8

    3/7 + 2/7 = ?

    Answer(as a fraction)

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Answer key: Add and subtract fractions with like denominators

  1. 1. 7/8

  2. 2. 4/5

  3. 3. 1/5

  4. 4. 1/2

  5. 5. 5/7

  6. 6. 1/6

  7. 7. 4/5

  8. 8. 5/7