Math lesson plan · 4th grade (Year 5 in England) · 30 minutes
Expanded form of numbers up to 1 000 000
Number sense
CCSS 4.NBT.A.2England: Y5 Number and place value
Objective and success criteria
Students will: Expanded form of numbers up to 1 000 000.
- 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: Place value names up to hundred thousands; Write four-digit numbers in expanded form
Leads to: the next skill in this area.
Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Place value names up to hundred thousands; Write four-digit numbers in expanded form). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- In 419 726, which place is the digit 2 in? (ones / tens / thousands / hundred thousands) → tensPrompt: The places in a group of three are hundreds, tens, ones — for thousands too.
- Write 1703 in expanded form. What goes in the gap? 1000 + __ + 3 → 700Prompt: Each part is one digit times its place value.
- What is the value of the digit 3 in 369 071? → 300000Prompt: Name the place of the digit first.
Hook · 3 min
- Show a number in the news or a price tag and ask what each digit is worth.
- Share the objective: Expanded form of numbers up to 1 000 000. 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: What is missing? 534 451 = 500 000 + 30 000 + 4000 + 400 + 50 + __
- Step 1: 534 451 = 500 000 + 30 000 + 4000 + 400 + 50 + 1
- Step 2: 1
- Answer: 1
- 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.
- What is missing? 406 453 = 400 000 + __ + 400 + 50 + 3 → 6000Prompt: Each part matches one non-zero digit.
- Write as one number: 4000 + 5 + 500 000 + 20 000 → 524005Prompt: Find the biggest part first: it tells you how many digits the number has.
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.
- What is missing? 681 947 = 600 000 + __ + 1000 + 900 + 40 + 7 → 80000Prompt: Each part matches one non-zero digit.
- Write as one number: 7 + 10 000 + 40 + 200 000 + 800 → 210847Prompt: Find the biggest part first: it tells you how many digits the number has.
Watch out for
- Reading 1,045 as one thousand four hundred five: point to each place and say its value.
- Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).
Support and stretch
Support
- Review first: Place value names up to hundred thousands.
- Use concrete materials: place value chart.
- 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-4.
Free lesson plan from eurekami.com/lesson-plan-builder