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

Spot equivalent fractions with bars and number lines

Fractions

CCSS 3.NF.A.3.ACCSS 3.NF.A.3.BEngland: Y3 Fractions

Objective and success criteria

Students will: Spot equivalent fractions with bars and number lines.

  • 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: 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 (Fractions on a number line). 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: Spot equivalent fractions with bars and number lines. 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: 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

  • 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

Spot equivalent fractions with bars and number lines

Name

Date

Score/ 8

  1. Question 1

    The two bars are the same length. 1/4 of the top bar is shaded. How many parts of the bottom bar (8 parts) must be shaded to match?

    Answer

  2. Question 2

    Which fraction is equivalent to 1/2?

    • A. 3/6
    • B. 2/6
    • C. 4/5
    • D. 1/6
  3. Question 3

    On a number line from 0 to 1, 1/2 is at the same point as ?/4. What is the missing numerator?

    011/2

    Answer

  4. Question 4

    The two bars are the same length. 1/2 of the top bar is shaded. How many parts of the bottom bar (8 parts) must be shaded to match?

    Answer

  5. Question 5

    Which fraction is equivalent to 3/4?

    • A. 6/8
    • B. 3/8
    • C. 5/6
    • D. 6/4
  6. Question 6

    On a number line from 0 to 1, 2/3 is at the same point as ?/6. What is the missing numerator?

    012/3

    Answer

  7. Question 7

    The two bars are the same length. 2/4 of the top bar is shaded. How many parts of the bottom bar (8 parts) must be shaded to match?

    Answer

  8. Question 8

    On a number line from 0 to 1, 1/3 is at the same point as ?/9. What is the missing numerator?

    011/3

    Answer

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Answer key: Spot equivalent fractions with bars and number lines

  1. 1. 2

  2. 2. A. 3/6

  3. 3. 2

  4. 4. 4

  5. 5. A. 6/8

  6. 6. 4

  7. 7. 4

  8. 8. 3