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

Read two-way tables

Statistics and probability

CCSS 4.MD.A.2England: Y5 Statistics

Objective and success criteria

Students will: Read two-way tables.

  • 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: Tally charts and frequency tables

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 · 6 min

  • Quick retrieval from earlier learning (Tally charts and frequency tables). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A tally shows 4 complete five-bar gates and 0 more single marks. What number does it show? → 20Prompt: Each gate is 5 (four marks crossed by a fifth).
  2. A tally shows 4 complete five-bar gates and 1 more single mark. What number does it show? → 21Prompt: Each gate is 5 (four marks crossed by a fifth).
  3. A tally shows 3 complete five-bar gates and 3 more single marks. What number does it show? → 18Prompt: Each gate is 5 (four marks crossed by a fifth).

Hook · 6 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Read two-way tables. 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: Lunch survey — Year 4: school lunch 33, packed lunch 30. Year 5: school lunch 32, packed lunch 15. How many pupils are in Year 5?
  • Step 1: 32 + 15 = 47
  • Answer: 47
  • 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. Lunch survey — Year 4: school lunch 15, packed lunch 27. Year 5: school lunch 40, packed lunch 40. How many pupils are there in the whole table? → 122Prompt: Find the right row or column.
  2. A table shows 101 children chose a club: 39 chose art, 38 chose chess and the rest chose coding. How many chose coding? → 24Prompt: The parts add up to the total.

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. A table shows 82 children chose a club: 36 chose art, 34 chose chess and the rest chose coding. How many chose coding? → 12Prompt: The parts add up to the total.
  2. Lunch survey — Year 4: school lunch 34, packed lunch 22. Year 5: school lunch 34, packed lunch 10. How many pupils are there in the whole table? → 100Prompt: Find the right row or column.

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: Tally charts and frequency tables.
  • 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-4.

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

eurekami

Read two-way tables

Name

Date

Score/ 8

  1. Question 1

    Lunch survey — Year 4: school lunch 19, packed lunch 39. Year 5: school lunch 12, packed lunch 24. How many pupils have school lunch altogether?

    Answer

  2. Question 2

    A table shows 82 children chose a club: 23 chose art, 39 chose chess and the rest chose coding. How many chose coding?

    Answer

  3. Question 3

    Lunch survey — Year 4: school lunch 24, packed lunch 31. Year 5: school lunch 37, packed lunch 17. How many pupils have school lunch altogether?

    Answer

  4. Question 4

    A table shows 95 children chose a club: 40 chose art, 25 chose chess and the rest chose coding. How many chose coding?

    Answer

  5. Question 5

    Lunch survey — Year 4: school lunch 23, packed lunch 21. Year 5: school lunch 33, packed lunch 21. How many pupils are in Year 5?

    Answer

  6. Question 6

    A table shows 75 children chose a club: 29 chose art, 26 chose chess and the rest chose coding. How many chose coding?

    Answer

  7. Question 7

    Lunch survey — Year 4: school lunch 30, packed lunch 23. Year 5: school lunch 23, packed lunch 32. How many pupils are in Year 5?

    Answer

  8. Question 8

    A table shows 82 children chose a club: 18 chose art, 37 chose chess and the rest chose coding. How many chose coding?

    Answer

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Answer key: Read two-way tables

  1. 1. 31

  2. 2. 20

  3. 3. 61

  4. 4. 30

  5. 5. 54

  6. 6. 20

  7. 7. 55

  8. 8. 27