Math lesson plan · 5th grade (Year 6 in England) · 30 minutes
Add and subtract with numbers into the millions
Addition and subtraction
CCSS 4.NBT.B.4England: Y6 Addition, subtraction, multiplication and division
Objective and success criteria
Students will: Add and subtract with numbers into the millions.
- 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: Multi-step addition and subtraction problems with large numbers; Place value to ten million
Leads to: the next skill in this area.
Materials: Base-ten blocks, Number lines, Hundred square, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Multi-step addition and subtraction problems with large numbers; Place value to ten million). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- A warehouse has 60 716 boxes. 5436 are sent out and 5032 new boxes arrive. How many boxes are there now? → 60312Prompt: Take away the boxes sent out.
- What is the value of the digit 9 in 9 604 812? → 9000000Prompt: The groups of three from the right are ones, thousands, millions.
- Lucia's class wants to walk 16000 steps each for charity. Lucia walked 2141 steps on Monday and 3562 on Tuesday. How many more steps are needed? → 10297Prompt: How many steps so far?
Hook · 3 min
- Give a real shopping total or a score difference and ask for a quick estimate first.
- Share the objective: Add and subtract with numbers into the millions. 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: 4 235 850 − 2 580 731 = ?
- Step 1: 4 235 850 − 2 580 731 = 1 655 119
- Answer: 1655119
- 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.
- 2 970 583 + 1 508 791 = ? → 4479374Prompt: Line up the digits carefully: ones under ones.
- A city had 1 883 837 people ten years ago. Since then the population has fallen by 334 709. What is the population now? → 1549128Prompt: Fallen means subtract.
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 city had 2 595 299 people ten years ago. Since then the population has grown by 450 041. What is the population now? → 3045340Prompt: Grown means add.
- What is the difference between 6 974 284 and 5 211 547? → 1762737Prompt: Difference means subtract the smaller from the larger.
Watch out for
- Subtracting the smaller digit from the bigger one in every column (52 − 17 = 45).
- Forgetting to add the regrouped (carried) ten.
Support and stretch
Support
- Review first: Multi-step addition and subtraction problems with large numbers.
- Use concrete materials: base-ten blocks.
- 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