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Math lesson plan · 4th grade (Year 5 in England) · 30 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 · 4 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. 30 × 7 = ? → 210Prompt: Split 30 into tens and ones: 30 + 0.
  2. 461 × 5 = ? → 2305Prompt: Use short multiplication: multiply the ones, then tens, then hundreds.
  3. Noah's bakery makes 3676 rolls a day. How many rolls does it make in 3 days? → 11028Prompt: The same amount each day: multiply.

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 two-digit by two-digit numbers. 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: 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 · 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. Use long multiplication: 45 × 33 → 1485Prompt: Multiply 45 by the ones digit of 33.
  2. Use long multiplication: 99 × 63 → 6237Prompt: Multiply 99 by the ones digit of 63.

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. Use long multiplication: 26 × 48 → 1248Prompt: Multiply 26 by the ones digit of 48.
  2. Use long multiplication: 21 × 47 → 987Prompt: Multiply 21 by the ones digit of 47.

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/ 6

  1. Question 1

    25 × 45 = ?

    Answer

  2. Question 2

    Use long multiplication: 75 × 28

    Answer

  3. Question 3

    41 × 22 = ?

    Answer

  4. Question 4

    Use long multiplication: 64 × 22

    Answer

  5. Question 5

    46 × 22 = ?

    Answer

  6. Question 6

    Use long multiplication: 91 × 29

    Answer

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

  1. 1. 1125

  2. 2. 2100

  3. 3. 902

  4. 4. 1408

  5. 5. 1012

  6. 6. 2639