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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: 88 × 68 → 5984Prompt: Multiply 88 by the ones digit of 68.
  2. Use long multiplication: 34 × 70 → 2380Prompt: Multiply 34 by the ones digit of 70.
  3. Use long multiplication: 40 × 81 → 3240Prompt: Multiply 40 by the ones digit of 81.

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. 972 × 57 = ? → 55404Prompt: Multiply 972 by 7, then by 50.
  2. A school orders 19 tablets for its library. Each one costs $291. What is the total cost? (Type the number only.) → 5529Prompt: 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. 518 × 16 = ? → 8288Prompt: Multiply 518 by 6, then by 10.
  2. A school orders 18 tablets for its library. Each one costs $383. What is the total cost? (Type the number only.) → 6894Prompt: Multiply the price by the number of tablets.

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 37 tablets for its library. Each one costs $164. What is the total cost? (Type the number only.)

    Answer

  2. Question 2

    623 × 59 = ?

    Answer

  3. Question 3

    A school orders 12 tablets for its library. Each one costs $134. What is the total cost? (Type the number only.)

    Answer

  4. Question 4

    762 × 14 = ?

    Answer

  5. Question 5

    A school orders 38 tablets for its library. Each one costs $340. What is the total cost? (Type the number only.)

    Answer

  6. Question 6

    275 × 23 = ?

    Answer

  7. Question 7

    A school orders 27 tablets for its library. Each one costs $173. What is the total cost? (Type the number only.)

    Answer

  8. Question 8

    590 × 74 = ?

    Answer

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Answer key: Multi-digit multiplication

  1. 1. 6068

  2. 2. 36757

  3. 3. 1608

  4. 4. 10668

  5. 5. 12920

  6. 6. 6325

  7. 7. 4671

  8. 8. 43660