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Math lesson plan · 5th grade (Year 6 in England) · 45 minutes

Subtract a decimal from a whole number

Decimals and percentages

CCSS 5.NBT.B.7England: Y5 Fractions (including decimals)

Objective and success criteria

Students will: Subtract a decimal from a whole number.

  • 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: Add and subtract decimals

Leads to: the next skill in this area.

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 (Add and subtract decimals). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 26.5 + 65.89 = ? → 92.39Prompt: Line up the decimal points.
  2. 8.87 − 1.1 = ? → 7.77Prompt: Line up the decimal points and fill gaps with zeros.
  3. 76.8 + 53.4 = ? → 130.2Prompt: Line up the decimal points.

Hook · 5 min

  • Show two prices or race times with decimals and ask which is bigger, then why.
  • Share the objective: Subtract a decimal from a whole number. 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: 2 − 1.42 = ?
  • Step 1: 2.00 − 1.42 = 0.58
  • Answer: 0.58
  • 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. 5 − 2.58 = ? → 2.42Prompt: Write 5 as 5.00.
  2. Grace pays for a snack costing $0.58 with a $1 coin. How much change does Grace get? → 0.42Prompt: Change = money given − price.

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. 15 − 3.39 = ? → 11.61Prompt: Write 15 as 15.00.
  2. Kofi pays for a snack costing $0.54 with a $1 coin. How much change does Kofi get? → 0.46Prompt: Change = money given − price.

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: Add and subtract 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

  • 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-5.

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

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Subtract a decimal from a whole number

Name

Date

Score/ 8

  1. Question 1

    8 − 5.83 = ?

    Answer

  2. Question 2

    Ethan pays for a snack costing $18 with a $20 note. How much change does Ethan get?

    Answer

  3. Question 3

    5 − 2.74 = ?

    Answer

  4. Question 4

    Nia pays for a snack costing $4.15 with a $5 note. How much change does Nia get?

    Answer

  5. Question 5

    13 − 6.7 = ?

    Answer

  6. Question 6

    Diego pays for a snack costing $0.66 with a $1 coin. How much change does Diego get?

    Answer

  7. Question 7

    13 − 12.87 = ?

    Answer

  8. Question 8

    Yuki pays for a snack costing $5.66 with a $10 note. How much change does Yuki get?

    Answer

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Answer key: Subtract a decimal from a whole number

  1. 1. 2.17

  2. 2. 2

  3. 3. 2.26

  4. 4. 0.85

  5. 5. 6.3

  6. 6. 0.34

  7. 7. 0.13

  8. 8. 4.34