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Math lesson plan · 3rd grade (Year 4 in England) · 30 minutes

Multiply a two-digit number by a one-digit number by partitioning

Multiplication and division

CCSS 3.NBT.A.3CCSS 4.NBT.B.5England: Y3 Multiplication and divisionEngland: Y4 Multiplication and division

Objective and success criteria

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

  • 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: Break apart a multiplication (distributive property); Multiply by multiples of 10

Leads to: Multiply a three-digit number by a one-digit number

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 (Break apart a multiplication (distributive property); Multiply by multiples of 10). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 9 × 70 = ? → 630Prompt: 70 is 7 tens.
  2. 6 × 40 = ? → 240Prompt: 40 is 4 tens.
  3. 5 × 70 = ? → 350Prompt: 70 is 7 tens.

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: Multiply a two-digit number by a one-digit number by partitioning. 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: 22 × 5 = ?
  • Step 1: 20 × 5 = 100
  • Step 2: 2 × 5 = 10
  • Step 3: 100 + 10 = 110
  • Answer: 110
  • 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. 23 × 2 = ? → 46Prompt: Split 23 into tens and ones: 20 + 3.
  2. There are 3 trays with 82 muffins in each. How many muffins are there altogether? → 246Prompt: You need 3 × 82.

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. 41 × 3 = ? → 123Prompt: Split 41 into tens and ones: 40 + 1.
  2. There are 3 tubs with 96 crayons in each. How many crayons are there altogether? → 288Prompt: You need 3 × 96.

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: Break apart a multiplication (distributive property).
  • 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 three-digit number by a one-digit number.
  • 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-3.

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

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Multiply a two-digit number by a one-digit number by partitioning

Name

Date

Score/ 6

  1. Question 1

    36 × 4 = ?

    Answer

  2. Question 2

    There are 8 trays with 75 muffins in each. How many muffins are there altogether?

    Answer

  3. Question 3

    Ines worked out 27 × 3 as 20 × 3 + 7 = 67. What mistake was made, and what is the right answer?

    Answer

  4. Question 4

    14 × 8 = ?

    Answer

  5. Question 5

    There are 8 boxes with 16 pencils in each. How many pencils are there altogether?

    Answer

  6. Question 6

    Priya worked out 21 × 6 as 20 × 6 + 1 = 121. What mistake was made, and what is the right answer?

    Answer

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Answer key: Multiply a two-digit number by a one-digit number by partitioning

  1. 1. 144

  2. 2. 600

  3. 3. 81

  4. 4. 112

  5. 5. 128

  6. 6. 126