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

Tenths as decimals: 0.1 to 0.9

Decimals and percentages

CCSS 4.NF.C.6England: Y4 Fractions (including decimals)

Objective and success criteria

Students will: Tenths as decimals: 0.1 to 0.9.

  • 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: Count in tenths

Leads to: Round decimals to the nearest whole number

Materials: Place value chart with tenths and hundredths, Hundred squares, Number lines, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Count in tenths). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. How many tenths are needed to go from 7/10 to 1 whole? → 3Prompt: 1 whole is 10/10.
  2. How many tenths are needed to go from 3/10 to 1 whole? → 7Prompt: 1 whole is 10/10.
  3. How many tenths are needed to go from 2/10 to 1 whole? → 8Prompt: 1 whole is 10/10.

Hook · 6 min

  • Show two prices or race times with decimals and ask which is bigger, then why.
  • Share the objective: Tenths as decimals: 0.1 to 0.9. 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: Sofia has 5 whole chocolate bars and 9 tenths of another. Write the amount as a decimal.
  • Step 1: 5.9
  • Answer: 5.9
  • 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. Ava has 2 whole chocolate bars and 8 tenths of another. Write the amount as a decimal. → 2.8Prompt: Whole bars go before the decimal point.
  2. Jamal has 4 whole chocolate bars and 9 tenths of another. Write the amount as a decimal. → 4.9Prompt: Whole bars go before the decimal point.

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. Liam has 1 whole chocolate bar and 5 tenths of another. Write the amount as a decimal. → 1.5Prompt: Whole bars go before the decimal point.
  2. Ben has 3 whole chocolate bars and 8 tenths of another. Write the amount as a decimal. → 3.8Prompt: Whole bars go before the decimal point.

Watch out for

  • Thinking 0.45 is bigger than 0.5 because 45 is bigger than 5.
  • Moving the digits the wrong way when multiplying or dividing by 10.

Support and stretch

Support

  • Review first: Count in tenths.
  • Use concrete materials: place value chart with tenths and hundredths.
  • 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: Round decimals to the nearest whole number.
  • 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

Tenths as decimals: 0.1 to 0.9

Name

Date

Score/ 8

  1. Question 1

    What decimal is at the marked point?

    0123?

    Answer

  2. Question 2

    Grace has 1 whole chocolate bar and 5 tenths of another. Write the amount as a decimal.

    Answer

  3. Question 3

    Write 5/10 as a decimal.

    Answer

  4. Question 4

    Priya has 4 whole chocolate bars and 8 tenths of another. Write the amount as a decimal.

    Answer

  5. Question 5

    Write 3/10 as a decimal.

    Answer

  6. Question 6

    Kofi has 2 whole chocolate bars and 3 tenths of another. Write the amount as a decimal.

    Answer

  7. Question 7

    Write 4/10 as a decimal.

    Answer

  8. Question 8

    Ben has 1 whole chocolate bar and 7 tenths of another. Write the amount as a decimal.

    Answer

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Answer key: Tenths as decimals: 0.1 to 0.9

  1. 1. 1.3

  2. 2. 1.5

  3. 3. 0.5

  4. 4. 4.8

  5. 5. 0.3

  6. 6. 2.3

  7. 7. 0.4

  8. 8. 1.7