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Math lesson plan · 6th grade (Year 7 in England) · 30 minutes

Read histograms with equal class widths

Statistics and probability

CCSS 6.SP.B.4England: KS3 Statistics

Objective and success criteria

Students will: Read histograms with equal class widths.

  • 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: Read dot plots (line plots)

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 (Read dot plots (line plots)). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook · 3 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Read histograms with equal class widths. 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: Read dot plots (line plots).
  • 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-6.

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

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Read histograms with equal class widths

Name

Date

Score/ 6

  1. Question 1

    The histogram shows the heights (cm) of a group of teenagers. How many are at least 170 cm tall?

    Height (cm)0246810Frequency1140–1494150–15910160–1695170–1795180–189

    Answer

  2. Question 2

    The histogram shows minutes spent travelling to school. How many students took 20–29 minutes?

    Travel time (min)024681012Students20–9510–19620–29430–391240–49

    Answer

  3. Question 3

    The histogram shows how many hours per week students spend on sport. What fraction of the students are in the 15–19 hours group? Give a fraction in simplest form.

    Sport (hours per week)0246810Students80–4105–9510–14915–19

    Answer(as a fraction)

  4. Question 4

    The histogram shows the heights (cm) of a group of teenagers. How many are at least 150 cm tall?

    Height (cm)0246810Frequency2140–1495150–1597160–16910170–1791180–189

    Answer

  5. Question 5

    The histogram shows minutes spent travelling to school. How many students took 60–79 minutes?

    Travel time (min)024681012Students80–19520–391040–591160–79780–99

    Answer

  6. Question 6

    The histogram shows how many hours per week students spend on sport. What fraction of the students are in the 0–4 hours group? Give a fraction in simplest form.

    Sport (hours per week)02468Students30–465–9810–14215–19

    Answer(as a fraction)

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Answer key: Read histograms with equal class widths

  1. 1. 10

  2. 2. 6

  3. 3. 9/32

  4. 4. 23

  5. 5. 11

  6. 6. 3/19