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Math lesson plan · 5th grade (Year 6 in England) · 30 minutes

Line plots with fractions: total and share equally

Statistics and probability

CCSS 5.MD.B.2

Objective and success criteria

Students will: Line plots with fractions: total and share equally.

  • 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: Line plots with fractions of a unit; Add and subtract fractions with unlike denominators

Leads to: the next skill in this area.

Materials: Squared paper for charts, Class survey data, Sticky notes for a live chart, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 4 min

  • Quick retrieval from earlier learning (Line plots with fractions of a unit; Add and subtract fractions with unlike denominators). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 3/5 + 1/3 = ? Give your answer in simplest form. → 14/15Prompt: You need a common denominator first.
  2. 1/2 + 3/4 = ? Give your answer in simplest form. → 5/4 (1 1/4)Prompt: You need a common denominator first.
  3. 4/5 + 1/2 = ? Give your answer in simplest form. → 13/10 (1 3/10)Prompt: You need a common denominator first.

Hook · 3 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Line plots with fractions: total and share equally. 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.
  • 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 · 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.

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.

Watch out for

  • Forgetting to put data in order before finding the median.
  • Reading a bar's height wrongly when the scale goes up in 2s or 5s.

Support and stretch

Support

  • Review first: Line plots with fractions of a unit.
  • Use concrete materials: squared paper for charts.
  • 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-5.

Free lesson plan from eurekami.com/lesson-plan-builder

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Line plots with fractions: total and share equally

Name

Date

Score/ 6

  1. Question 1

    The line plot shows how much juice (litres) is in 7 jugs. If all the juice were shared equally between the jugs, how much would each jug hold?

    Juice per jug (litres)01221/421/213/421

    Answer(as a fraction)

  2. Question 2

    The line plot shows the weights (lb) of some bags of beads. What is the total weight of all the bags?

    Bag weights (lb)0123411/823/845/8

    Answer(as a fraction)

  3. Question 3

    The line plot shows how much juice (litres) is in 4 jugs. If all the juice were shared equally between the jugs, how much would each jug hold?

    Juice per jug (litres)01211/411/223/401

    Answer(as a fraction)

  4. Question 4

    The line plot shows how much juice (litres) is in 8 jugs. If all the juice were shared equally between the jugs, how much would each jug hold?

    Juice per jug (litres)012321/421/233/411

    Answer(as a fraction)

  5. Question 5

    The line plot shows how much juice (litres) is in 5 jugs. If all the juice were shared equally between the jugs, how much would each jug hold?

    Juice per jug (litres)01221/411/213/411

    Answer(as a fraction)

  6. Question 6

    The line plot shows how much juice (litres) is in 9 jugs. If all the juice were shared equally between the jugs, how much would each jug hold?

    Juice per jug (litres)012331/431/213/421

    Answer(as a fraction)

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Answer key: Line plots with fractions: total and share equally

  1. 1. 17/28

  2. 2. 27/8

  3. 3. 9/16

  4. 4. 19/32

  5. 5. 11/20

  6. 6. 5/9