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Math lesson plan · 5th grade (Year 6 in England) · 60 minutes

Multi-digit multiplication

Multiplication and division

CCSS 5.NBT.B.5England: Y5 Multiplication and divisionEngland: Y6 Multiplication and division

Objective and success criteria

Students will: Multi-digit multiplication.

  • 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: Multiply two-digit by two-digit numbers

Leads to: the next skill in this area.

Materials: Counters for arrays, Multiplication grid, Base-ten blocks, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Multiply two-digit by two-digit numbers). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Use long multiplication: 76 × 38 → 2888Prompt: Multiply 76 by the ones digit of 38.
  2. Use long multiplication: 93 × 27 → 2511Prompt: Multiply 93 by the ones digit of 27.
  3. Use long multiplication: 29 × 21 → 609Prompt: Multiply 29 by the ones digit of 21.

Hook · 6 min

  • Show an array of chairs, eggs or windows and ask how many there are without counting one by one.
  • Share the objective: Multi-digit multiplication. 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: 131 × 54 = ?
  • Step 1: 131 × 4 = 524
  • Step 2: 131 × 50 = 6550
  • Step 3: 524 + 6550 = 7074
  • Answer: 7074
  • 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. 677 × 48 = ? → 32496Prompt: Multiply 677 by 8, then by 40.
  2. A school orders 40 tablets for its library. Each one costs $392. What is the total cost? (Type the number only.) → 15680Prompt: Multiply the price by the number of tablets.

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. A school orders 12 tablets for its library. Each one costs $467. What is the total cost? (Type the number only.) → 5604Prompt: Multiply the price by the number of tablets.
  2. 101 × 66 = ? → 6666Prompt: Multiply 101 by 6, then by 60.

Watch out for

  • Thinking multiplying always makes a number bigger.
  • Dropping a zero in long multiplication when moving to the tens row.

Support and stretch

Support

  • Review first: Multiply two-digit by two-digit numbers.
  • Use concrete materials: counters for arrays.
  • 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

eurekami

Multi-digit multiplication

Name

Date

Score/ 8

  1. Question 1

    A school orders 38 tablets for its library. Each one costs $407. What is the total cost? (Type the number only.)

    Answer

  2. Question 2

    653 × 28 = ?

    Answer

  3. Question 3

    A school orders 31 tablets for its library. Each one costs $262. What is the total cost? (Type the number only.)

    Answer

  4. Question 4

    942 × 48 = ?

    Answer

  5. Question 5

    A school orders 31 tablets for its library. Each one costs $281. What is the total cost? (Type the number only.)

    Answer

  6. Question 6

    153 × 62 = ?

    Answer

  7. Question 7

    A school orders 23 tablets for its library. Each one costs $221. What is the total cost? (Type the number only.)

    Answer

  8. Question 8

    389 × 58 = ?

    Answer

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Answer key: Multi-digit multiplication

  1. 1. 15466

  2. 2. 18284

  3. 3. 8122

  4. 4. 45216

  5. 5. 8711

  6. 6. 9486

  7. 7. 5083

  8. 8. 22562