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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Multiply a three-digit number by a one-digit number

Multiplication and division

CCSS 4.NBT.B.5England: Y4 Multiplication and division

Objective and success criteria

Students will: Multiply a three-digit number by a one-digit 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: Multiply a two-digit number by a one-digit number by partitioning

Leads to: Multiply a four-digit number by a one-digit number; Multi-step word problems with whole numbers; Long multiplication: three-digit by two-digit

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 a two-digit number by a one-digit number by partitioning). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 28 × 8 = ? → 224Prompt: Split 28 into tens and ones: 20 + 8.
  2. There are 4 tubs with 35 crayons in each. How many crayons are there altogether? → 140Prompt: You need 4 × 35.
  3. Zoe worked out 31 × 5 as 30 × 5 + 1 = 151. What mistake was made, and what is the right answer? → 155Prompt: Did Zoe multiply both parts of 31 by 5?

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: Multiply a three-digit number by a one-digit number. 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: 583 × 3 = ?
  • Step 1: 500 × 3 = 1500
  • Step 2: 80 × 3 = 240
  • Step 3: 3 × 3 = 9
  • Step 4: 1500 + 240 + 9 = 1749
  • Answer: 1749
  • 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. 401 × 6 = ? → 2406Prompt: Multiply the hundreds, tens and ones separately.
  2. There are 9 vases with 398 flowers in each. How many flowers are there altogether? → 3582Prompt: You need 9 × 398.

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. Aisha did 307 × 8 in columns and got 2406. Aisha forgot to carry. What is the correct answer? → 2456Prompt: 7 × 8 = 56. What should be carried to the tens?
  2. 124 × 6 = ? → 744Prompt: Multiply the hundreds, tens and ones separately.

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 a two-digit number by a one-digit number by partitioning.
  • 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

  • Move on to: Multiply a four-digit number by a one-digit number; Multi-step word problems with whole numbers; Long multiplication: three-digit by two-digit.
  • 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-4.

Free lesson plan from eurekami.com/lesson-plan-builder

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Multiply a three-digit number by a one-digit number

Name

Date

Score/ 8

  1. Question 1

    511 × 3 = ?

    Answer

  2. Question 2

    There are 9 bags with 120 apples in each. How many apples are there altogether?

    Answer

  3. Question 3

    Chloe did 307 × 4 in columns and got 1208. Chloe forgot to carry. What is the correct answer?

    Answer

  4. Question 4

    306 × 4 = ?

    Answer

  5. Question 5

    There are 7 teams with 331 players in each. How many players are there altogether?

    Answer

  6. Question 6

    Ben did 383 × 8 in columns and got 3044. Ben forgot to carry. What is the correct answer?

    Answer

  7. Question 7

    511 × 8 = ?

    Answer

  8. Question 8

    There are 8 trays with 364 muffins in each. How many muffins are there altogether?

    Answer

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Answer key: Multiply a three-digit number by a one-digit number

  1. 1. 1533

  2. 2. 1080

  3. 3. 1228

  4. 4. 1224

  5. 5. 2317

  6. 6. 3064

  7. 7. 4088

  8. 8. 2912