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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Read hundredths from a hundred square

Decimals and percentages

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

Objective and success criteria

Students will: Read hundredths from a hundred square.

  • 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: Tenths and hundredths as decimals

Leads to: Understand per cent as 'out of 100'

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

Warm-up · 5 min

  • Quick retrieval from earlier learning (Tenths and hundredths as decimals). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is the value of the digit 5 in 5.6? → 5Prompt: Name the places: ones . tenths hundredths.
  2. What is the value of the digit 1 in 1.12? → 1Prompt: Name the places: ones . tenths hundredths.
  3. What is the value of the digit 8 in 6.88? → 0.8Prompt: Name the places: ones . tenths hundredths.

Hook · 5 min

  • Show two prices or race times with decimals and ask which is bigger, then why.
  • Share the objective: Read hundredths from a hundred square. 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: 73 small squares out of 100 are shaded. Write the shaded part as a decimal.
  • Step 1: 73/100 = 0.73
  • Answer: 0.73
  • 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. 37 small squares out of 100 are shaded. Write the shaded part as a decimal. → 0.37Prompt: 37 out of 100 is 37 hundredths.
  2. Liam says 59/100 = 5.9. Is Liam right? Write the correct decimal. → 0.59Prompt: Is it tenths or hundredths?

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. 46 small squares out of 100 are shaded. Write the shaded part as a decimal. → 0.46Prompt: 46 out of 100 is 46 hundredths.
  2. Ava says 43/100 = 4.3. Is Ava right? Write the correct decimal. → 0.43Prompt: Is it tenths or hundredths?

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: Tenths and hundredths as decimals.
  • 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: Understand per cent as 'out of 100'.
  • 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 hundredths from a hundred square

Name

Date

Score/ 8

  1. Question 1

    67 small squares out of 100 are shaded. Write the shaded part as a decimal.

    Answer

  2. Question 2

    Mei says 34/100 = 3.4. Is Mei right? Write the correct decimal.

    Answer

  3. Question 3

    3 full rows of a 100-square are shaded. What decimal is shaded?

    Answer

  4. Question 4

    78 small squares out of 100 are shaded. Write the shaded part as a decimal.

    Answer

  5. Question 5

    Ravi says 12/100 = 1.2. Is Ravi right? Write the correct decimal.

    Answer

  6. Question 6

    6 full rows of a 100-square are shaded. What decimal is shaded?

    Answer

  7. Question 7

    46 small squares out of 100 are shaded. Write the shaded part as a decimal.

    Answer

  8. Question 8

    Omar says 47/100 = 4.7. Is Omar right? Write the correct decimal.

    Answer

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Answer key: Read hundredths from a hundred square

  1. 1. 0.67

  2. 2. 0.34

  3. 3. 0.3

  4. 4. 0.78

  5. 5. 0.12

  6. 6. 0.6

  7. 7. 0.46

  8. 8. 0.47