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

Multiply two-digit by two-digit numbers

Multiplication and division

CCSS 4.NBT.B.5England: Y5 Multiplication and division

Objective and success criteria

Students will: Multiply two-digit by two-digit numbers.

  • 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 by a one-digit number

Leads to: Multi-digit multiplication; 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 by a one-digit number). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 80 × 5 = ? → 400Prompt: Split 80 into tens and ones: 80 + 0.
  2. 424 × 8 = ? → 3392Prompt: Use short multiplication: multiply the ones, then tens, then hundreds.
  3. Noah's bakery makes 3688 rolls a day. How many rolls does it make in 9 days? → 33192Prompt: The same amount each day: multiply.

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 two-digit by two-digit numbers. 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: Use long multiplication: 35 × 96
  • Step 1: 35 × 6 = 210
  • Step 2: 35 × 90 = 3150
  • Step 3: 210 + 3150 = 3360
  • Answer: 3360
  • 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. Use long multiplication: 25 × 73 → 1825Prompt: Multiply 25 by the ones digit of 73.
  2. Use long multiplication: 52 × 93 → 4836Prompt: Multiply 52 by the ones digit of 93.

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. Use long multiplication: 66 × 75 → 4950Prompt: Multiply 66 by the ones digit of 75.
  2. Use long multiplication: 72 × 44 → 3168Prompt: Multiply 72 by the ones digit of 44.

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 by a one-digit number.
  • 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: Multi-digit multiplication; 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 two-digit by two-digit numbers

Name

Date

Score/ 8

  1. Question 1

    Use long multiplication: 39 × 90

    Answer

  2. Question 2

    32 × 25 = ?

    Answer

  3. Question 3

    Use long multiplication: 31 × 31

    Answer

  4. Question 4

    47 × 44 = ?

    Answer

  5. Question 5

    Use long multiplication: 86 × 59

    Answer

  6. Question 6

    41 × 43 = ?

    Answer

  7. Question 7

    Use long multiplication: 48 × 93

    Answer

  8. Question 8

    46 × 31 = ?

    Answer

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Answer key: Multiply two-digit by two-digit numbers

  1. 1. 3510

  2. 2. 800

  3. 3. 961

  4. 4. 2068

  5. 5. 5074

  6. 6. 1763

  7. 7. 4464

  8. 8. 1426