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

Understand fractions a/b

Fractions

CCSS 3.NF.A.1England: Y3 Fractions

Objective and success criteria

Students will: Understand fractions a/b.

  • 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: Equal parts: halves, thirds, quarters

Leads to: Fractions on a number line; Add and subtract fractions with like denominators; What fraction of the group?

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 (Equal parts: halves, thirds, quarters). 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: Understand fractions a/b. 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: Equal parts: halves, thirds, quarters.
  • 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: Fractions on a number line; Add and subtract fractions with like denominators; What fraction of the group?.
  • 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

Understand fractions a/b

Name

Date

Score/ 8

  1. Question 1

    Shade 3/4 of the bar. How many parts do you shade?

    Shaded: 0 of 4

    Answer

  2. Question 2

    Elena shaded part of this bar. What fraction of the bar is shaded?

    Answer(as a fraction)

  3. Question 3

    Priya cuts a cake into 6 equal pieces and eats 1. What fraction of the cake is left?

    Answer(as a fraction)

  4. Question 4

    Shade 1/6 of the bar. How many parts do you shade?

    Shaded: 0 of 6

    Answer

  5. Question 5

    Jamal cuts a cake into 8 equal pieces and eats 7. What fraction of the cake is left?

    Answer(as a fraction)

  6. Question 6

    Shade 1/4 of the bar. How many parts do you shade?

    Shaded: 0 of 4

    Answer

  7. Question 7

    Zoe shaded part of this bar. What fraction of the bar is shaded?

    Answer(as a fraction)

  8. Question 8

    Ana cuts a pie into 5 equal pieces and eats 3. What fraction of the pie is left?

    Answer(as a fraction)

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Answer key: Understand fractions a/b

  1. 1. 3

  2. 2. 1/4

  3. 3. 5/6

  4. 4. 1

  5. 5. 1/8

  6. 6. 1

  7. 7. 2/4

  8. 8. 2/5