Math lesson plan · 5th grade (Year 6 in England) · 45 minutes
Multi-digit multiplication
Multiplication and division
CCSS 5.NBT.B.5England: Y5 Multiplication and divisionEngland: Y6 Multiplication and division
Objective and success criteria
Students will: Multi-digit multiplication.
- 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 two-digit by two-digit numbers
Leads to: the next skill in this area.
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 two-digit by two-digit numbers). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Use long multiplication: 72 × 71 → 5112Prompt: Multiply 72 by the ones digit of 71.
- Use long multiplication: 90 × 29 → 2610Prompt: Multiply 90 by the ones digit of 29.
- Use long multiplication: 40 × 93 → 3720Prompt: Multiply 40 by the ones digit of 93.
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: Multi-digit multiplication. 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: 131 × 54 = ?
- Step 1: 131 × 4 = 524
- Step 2: 131 × 50 = 6550
- Step 3: 524 + 6550 = 7074
- Answer: 7074
- 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.
- 797 × 47 = ? → 37459Prompt: Multiply 797 by 7, then by 40.
- A school orders 22 tablets for its library. Each one costs $212. What is the total cost? (Type the number only.) → 4664Prompt: Multiply the price by the number of tablets.
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.
- 786 × 56 = ? → 44016Prompt: Multiply 786 by 6, then by 50.
- A school orders 28 tablets for its library. Each one costs $244. What is the total cost? (Type the number only.) → 6832Prompt: Multiply the price by the number of tablets.
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 two-digit by two-digit numbers.
- 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
- 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-5.
Free lesson plan from eurekami.com/lesson-plan-builder