Math lesson plan · 3rd grade (Year 4 in England) · 45 minutes
Rounding puzzles: which numbers round to …?
Number sense
CCSS 3.NBT.A.1England: Y3 Number and place valueEngland: Y4 Number and place value
Objective and success criteria
Students will: Rounding puzzles: which numbers round to …?.
- 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: Round to the nearest 10 or 100
Leads to: Rounding: greatest and least possible numbers
Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 5 min
- Quick retrieval from earlier learning (Round to the nearest 10 or 100). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Which number rounds to 50 when rounded to the nearest 10? (55 / 44 / 46) → 46Prompt: Numbers from 45 up to 54 round to 50.
- Which number rounds to 70 when rounded to the nearest 10? (69 / 75 / 64) → 69Prompt: Numbers from 65 up to 74 round to 70.
- Which number rounds to 80 when rounded to the nearest 10? (76 / 74 / 85) → 76Prompt: Numbers from 75 up to 84 round to 80.
Hook · 5 min
- Show a number in the news or a price tag and ask what each digit is worth.
- Share the objective: Rounding puzzles: which numbers round to …?. 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: What is the smallest whole number that rounds to 410 when rounded to the nearest 10?
- Step 1: 405 is halfway and rounds up to 410.
- Step 2: 405
- Answer: 405
- 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.
- What is the greatest whole number that rounds to 930 when rounded to the nearest 10? → 934Prompt: Halfway between two multiples of 10 rounds up.
- Which number rounds to 400 when rounded to the nearest hundred? (333 / 519 / 469 / 443) → 443Prompt: Numbers from 350 up to 449 round to 400.
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.
- What is the smallest whole number that rounds to 300 when rounded to the nearest 100? → 250Prompt: Halfway between two multiples of 100 rounds up.
- Which number rounds to 200 when rounded to the nearest hundred? (305 / 266 / 127 / 192) → 192Prompt: Numbers from 150 up to 249 round to 200.
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: Round to the nearest 10 or 100.
- 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
- Move on to: Rounding: greatest and least possible numbers.
- 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-3.
Free lesson plan from eurekami.com/lesson-plan-builder