Math lesson plan · 5th grade (Year 6 in England) · 30 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 · 4 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: 21 × 66 → 1386Prompt: Multiply 21 by the ones digit of 66.
- Use long multiplication: 48 × 27 → 1296Prompt: Multiply 48 by the ones digit of 27.
- Use long multiplication: 22 × 72 → 1584Prompt: Multiply 22 by the ones digit of 72.
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: Multi-digit multiplication. 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: 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 · 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.
- 793 × 47 = ? → 37271Prompt: Multiply 793 by 7, then by 40.
- A school orders 25 tablets for its library. Each one costs $229. What is the total cost? (Type the number only.) → 5725Prompt: Multiply the price by the number of tablets.
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.
- A school orders 14 tablets for its library. Each one costs $314. What is the total cost? (Type the number only.) → 4396Prompt: Multiply the price by the number of tablets.
- 529 × 84 = ? → 44436Prompt: Multiply 529 by 4, then by 80.
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