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Math lesson plan · 5th grade (Year 6 in England) · 30 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 · 4 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. 72.8 + 89.74 = ? → 162.54Prompt: Line up the decimal points.
  2. 11.65 − 3.6 = ? → 8.05Prompt: Line up the decimal points and fill gaps with zeros.
  3. 20.3 + 34.31 = ? → 54.61Prompt: Line up the decimal points.

Hook · 3 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 · 7 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 · 6 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. 13 − 8.29 = ? → 4.71Prompt: Write 13 as 13.00.
  2. Liam pays for a snack costing $9.26 with a $10 note. How much change does Liam get? → 0.74Prompt: Change = money given − price.

You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. 4 − 3.78 = ? → 0.22Prompt: Write 4 as 4.00.
  2. Mateo pays for a snack costing $0.54 with a $1 coin. How much change does Mateo 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/ 6

  1. Question 1

    Noah pays for a snack costing $16.87 with a $20 note. How much change does Noah get?

    Answer

  2. Question 2

    12 − 10.35 = ?

    Answer

  3. Question 3

    Kofi pays for a snack costing $1.85 with a $20 note. How much change does Kofi get?

    Answer

  4. Question 4

    12 − 1.95 = ?

    Answer

  5. Question 5

    Maya pays for a snack costing $1.01 with a $5 note. How much change does Maya get?

    Answer

  6. Question 6

    9 − 3.69 = ?

    Answer

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Answer key: Subtract a decimal from a whole number

  1. 1. 3.13

  2. 2. 1.65

  3. 3. 18.15

  4. 4. 10.05

  5. 5. 3.99

  6. 6. 5.31