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

Tally charts and frequency tables

Statistics and probability

CCSS 3.MD.B.3England: Y3 StatisticsEngland: Y4 Statistics

Objective and success criteria

Students will: Tally charts and frequency 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: Bar graphs: compare and total

Leads to: Read two-way tables

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

Warm-up · 5 min

  • Quick retrieval from earlier learning (Bar graphs: compare and total). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook · 5 min

  • Take a quick class survey (favorite fruit, travel to school) and ask what the results tell us.
  • Share the objective: Tally charts and frequency tables. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: A tally shows 4 complete five-bar gates and 0 more single marks. What number does it show?
  • Step 1: 4 × 5 + 0 = 20
  • Answer: 20
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 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.
  1. A tally shows 5 complete five-bar gates and 3 more single marks. What number does it show? → 28Prompt: Each gate is 5 (four marks crossed by a fifth).
  2. A tally shows 4 complete five-bar gates and 2 more single marks. What number does it show? → 22Prompt: Each gate is 5 (four marks crossed by a fifth).

You do: independent practice · 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. A tally shows 5 complete five-bar gates and 1 more single mark. What number does it show? → 26Prompt: Each gate is 5 (four marks crossed by a fifth).
  2. A tally shows 1 complete five-bar gate and 4 more single marks. What number does it show? → 9Prompt: Each gate is 5 (four marks crossed by a fifth).

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: Bar graphs: compare and total.
  • 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

  • Move on to: Read two-way tables.
  • 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

Tally charts and frequency tables

Name

Date

Score/ 8

  1. Question 1

    Frequency table "Pets owned": Dog 8, Cat 10, Fish 12, Rabbit 8. How many answers were collected altogether?

    Pets owned0246810128Dog10Cat12Fish8Rabbit

    Answer

  2. Question 2

    A tally shows 1 complete five-bar gate and 4 more single marks. What number does it show?

    Answer

  3. Question 3

    Frequency table "Favourite sport": Football 5, Swimming 9, Basketball 6, Tennis 15. How many answers were collected altogether?

    Favourite sport02468101214165Football9Swimming6Basketball15Tennis

    Answer

  4. Question 4

    A tally shows 1 complete five-bar gate and 1 more single mark. What number does it show?

    Answer

  5. Question 5

    Frequency table "Favourite sport": Football 8, Swimming 11, Basketball 10, Tennis 7. How many answers were collected altogether?

    Favourite sport0246810128Football11Swimming10Basketball7Tennis

    Answer

  6. Question 6

    A tally shows 2 complete five-bar gates and 3 more single marks. What number does it show?

    Answer

  7. Question 7

    Frequency table "Favourite fruit": Apple 2, Banana 12, Mango 15, Grapes 12. How many answers were collected altogether?

    Favourite fruit02468101214162Apple12Banana15Mango12Grapes

    Answer

  8. Question 8

    A tally shows 4 complete five-bar gates and 1 more single mark. What number does it show?

    Answer

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Answer key: Tally charts and frequency tables

  1. 1. 38

  2. 2. 9

  3. 3. 35

  4. 4. 6

  5. 5. 36

  6. 6. 13

  7. 7. 41

  8. 8. 21