Math lesson plan · 4th grade (Year 5 in England) · 45 minutes
Multiply a three-digit number by a one-digit number
Multiplication and division
CCSS 4.NBT.B.5England: Y4 Multiplication and division
Objective and success criteria
Students will: Multiply a three-digit number by a one-digit number.
- 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 a two-digit number by a one-digit number by partitioning
Leads to: Multiply a four-digit number by a one-digit number; Multi-step word problems with whole numbers; 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 a two-digit number by a one-digit number by partitioning). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- 43 × 4 = ? → 172Prompt: Split 43 into tens and ones: 40 + 3.
- There are 7 bags with 84 apples in each. How many apples are there altogether? → 588Prompt: You need 7 × 84.
- Ravi worked out 22 × 5 as 20 × 5 + 2 = 102. What mistake was made, and what is the right answer? → 110Prompt: Did Ravi multiply both parts of 22 by 5?
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 a three-digit number by a one-digit number. 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: 583 × 3 = ?
- Step 1: 500 × 3 = 1500
- Step 2: 80 × 3 = 240
- Step 3: 3 × 3 = 9
- Step 4: 1500 + 240 + 9 = 1749
- Answer: 1749
- 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.
- 342 × 9 = ? → 3078Prompt: Multiply the hundreds, tens and ones separately.
- There are 8 tubs with 190 crayons in each. How many crayons are there altogether? → 1520Prompt: You need 8 × 190.
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.
- 137 × 9 = ? → 1233Prompt: Multiply the hundreds, tens and ones separately.
- There are 4 tanks with 369 fish in each. How many fish are there altogether? → 1476Prompt: You need 4 × 369.
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 a two-digit number by a one-digit number by partitioning.
- 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 four-digit number by a one-digit number; Multi-step word problems with whole numbers; 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