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

Count in tenths

Fractions

CCSS 4.NF.C.6England: Y3 Fractions

Objective and success criteria

Students will: Count in tenths.

  • 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: Tenths as decimals: 0.1 to 0.9

Materials: Fraction strips or a fraction wall, Paper strips to fold, Number lines, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 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 · 6 min

  • Cut a pizza or a strip of paper unevenly and ask whether the pieces are really halves or quarters.
  • Share the objective: Count in tenths. 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: How many tenths are needed to go from 1/10 to 1 whole?
  • Step 1: 10 − 1 = 9
  • Step 2: 9
  • Answer: 9
  • 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. How many tenths are needed to go from 3/10 to 1 whole? → 7Prompt: 1 whole is 10/10.
  2. How many tenths are needed to go from 1/10 to 1 whole? → 9Prompt: 1 whole is 10/10.

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. How many tenths are needed to go from 1/10 to 1 whole? → 9Prompt: 1 whole is 10/10.
  2. How many tenths are needed to go from 2/10 to 1 whole? → 8Prompt: 1 whole is 10/10.

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

  • Move on to: Tenths as decimals: 0.1 to 0.9.
  • 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

Count in tenths

Name

Date

Score/ 8

  1. Question 1

    Count in tenths. What is missing? 2/10, __, 4/10, 5/10, 6/10

    01?

    Answer(as a fraction)

  2. Question 2

    A metre stick is split into 10 equal parts. Daniel paints 9 parts. What fraction is painted?

    Answer(as a fraction)

  3. Question 3

    How many tenths are needed to go from 4/10 to 1 whole?

    Answer

  4. Question 4

    Count in tenths. What is missing? 4/10, 5/10, 6/10, __, 8/10

    01?

    Answer(as a fraction)

  5. Question 5

    A metre stick is split into 10 equal parts. Ravi paints 8 parts. What fraction is painted?

    Answer(as a fraction)

  6. Question 6

    How many tenths are needed to go from 5/10 to 1 whole?

    Answer

  7. Question 7

    Count in tenths. What is missing? 5/10, 6/10, __, 8/10, 9/10

    01?

    Answer(as a fraction)

  8. Question 8

    A metre stick is split into 10 equal parts. Priya paints 3 parts. What fraction is painted?

    Answer(as a fraction)

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Answer key: Count in tenths

  1. 1. 3/10

  2. 2. 9/10

  3. 3. 6

  4. 4. 7/10

  5. 5. 8/10

  6. 6. 5

  7. 7. 7/10

  8. 8. 3/10