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Math lesson plan · 5th grade (Year 6 in England) · 30 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 · 4 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: 42 × 67 → 2814Prompt: Multiply 42 by the ones digit of 67.
  2. Use long multiplication: 84 × 33 → 2772Prompt: Multiply 84 by the ones digit of 33.
  3. Use long multiplication: 87 × 31 → 2697Prompt: Multiply 87 by the ones digit of 31.

Hook · 3 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 · 7 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 · 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. 265 × 22 = ? → 5830Prompt: Multiply 265 by 2, then by 20.
  2. A school orders 14 tablets for its library. Each one costs $130. What is the total cost? (Type the number only.) → 1820Prompt: Multiply the price by the number of tablets.

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. 234 × 63 = ? → 14742Prompt: Multiply 234 by 3, then by 60.
  2. A school orders 30 tablets for its library. Each one costs $176. What is the total cost? (Type the number only.) → 5280Prompt: 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

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Multi-digit multiplication

Name

Date

Score/ 6

  1. Question 1

    734 × 64 = ?

    Answer

  2. Question 2

    A school orders 48 tablets for its library. Each one costs $145. What is the total cost? (Type the number only.)

    Answer

  3. Question 3

    645 × 56 = ?

    Answer

  4. Question 4

    A school orders 16 tablets for its library. Each one costs $317. What is the total cost? (Type the number only.)

    Answer

  5. Question 5

    652 × 78 = ?

    Answer

  6. Question 6

    A school orders 23 tablets for its library. Each one costs $133. What is the total cost? (Type the number only.)

    Answer

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Answer key: Multi-digit multiplication

  1. 1. 46976

  2. 2. 6960

  3. 3. 36120

  4. 4. 5072

  5. 5. 50856

  6. 6. 3059