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Math lesson plan · 5th grade (Year 6 in England) · 45 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 · 5 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: 93 × 56 → 5208Prompt: Multiply 93 by the ones digit of 56.
  2. Use long multiplication: 39 × 53 → 2067Prompt: Multiply 39 by the ones digit of 53.
  3. Use long multiplication: 26 × 51 → 1326Prompt: Multiply 26 by the ones digit of 51.

Hook · 5 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 · 10 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 · 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. 707 × 65 = ? → 45955Prompt: Multiply 707 by 5, then by 60.
  2. A school orders 31 tablets for its library. Each one costs $366. What is the total cost? (Type the number only.) → 11346Prompt: Multiply the price by the number of tablets.

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. A school orders 26 tablets for its library. Each one costs $381. What is the total cost? (Type the number only.) → 9906Prompt: Multiply the price by the number of tablets.
  2. 587 × 38 = ? → 22306Prompt: Multiply 587 by 8, then by 30.

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

    289 × 68 = ?

    Answer

  2. Question 2

    A school orders 14 tablets for its library. Each one costs $363. What is the total cost? (Type the number only.)

    Answer

  3. Question 3

    980 × 33 = ?

    Answer

  4. Question 4

    A school orders 37 tablets for its library. Each one costs $247. What is the total cost? (Type the number only.)

    Answer

  5. Question 5

    532 × 55 = ?

    Answer

  6. Question 6

    A school orders 40 tablets for its library. Each one costs $378. What is the total cost? (Type the number only.)

    Answer

  7. Question 7

    359 × 68 = ?

    Answer

  8. Question 8

    A school orders 42 tablets for its library. Each one costs $137. What is the total cost? (Type the number only.)

    Answer

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Answer key: Multi-digit multiplication

  1. 1. 19652

  2. 2. 5082

  3. 3. 32340

  4. 4. 9139

  5. 5. 29260

  6. 6. 15120

  7. 7. 24412

  8. 8. 5754