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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. 25 × 4 = ? → 100Prompt: Split 25 into tens and ones: 20 + 5.
  2. There are 4 vases with 48 flowers in each. How many flowers are there altogether? → 192Prompt: You need 4 × 48.
  3. Aisha worked out 38 × 6 as 30 × 6 + 8 = 188. What mistake was made, and what is the right answer? → 228Prompt: Did Aisha multiply both parts of 38 by 6?

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. 807 × 9 = ? → 7263Prompt: Multiply the hundreds, tens and ones separately.
  2. There are 4 bags with 123 apples in each. How many apples are there altogether? → 492Prompt: You need 4 × 123.

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. Liam did 262 × 6 in columns and got 1562. Liam forgot to carry. What is the correct answer? → 1572Prompt: 2 × 6 = 12. What should be carried to the tens?
  2. 584 × 7 = ? → 4088Prompt: 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

eurekami

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

Name

Date

Score/ 8

  1. Question 1

    308 × 4 = ?

    Answer

  2. Question 2

    There are 9 boxes with 367 pencils in each. How many pencils are there altogether?

    Answer

  3. Question 3

    Omar did 264 × 5 in columns and got 1300. Omar forgot to carry. What is the correct answer?

    Answer

  4. Question 4

    914 × 8 = ?

    Answer

  5. Question 5

    There are 9 shelves with 398 books in each. How many books are there altogether?

    Answer

  6. Question 6

    Maya did 149 × 4 in columns and got 566. Maya forgot to carry. What is the correct answer?

    Answer

  7. Question 7

    926 × 4 = ?

    Answer

  8. Question 8

    There are 6 trays with 193 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. 1232

  2. 2. 3303

  3. 3. 1320

  4. 4. 7312

  5. 5. 3582

  6. 6. 596

  7. 7. 3704

  8. 8. 1158