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Math lesson plan · 3rd grade (Year 4 in England) · 60 minutes

Add four-digit numbers in columns

Addition and subtraction

CCSS 4.NBT.B.4England: Y4 Addition and subtraction

Objective and success criteria

Students will: Add four-digit numbers in columns.

  • 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: Add three-digit numbers with regrouping; Value of a digit in four-digit numbers

Leads to: Add numbers with more than four digits

Materials: Base-ten blocks, Number lines, Hundred square, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Add three-digit numbers with regrouping; Value of a digit in four-digit numbers). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 556 + 163 = ? → 719Prompt: Add the ones first.
  2. In 5086, which place is the digit 8 in? (ones / tens / hundreds / thousands) → tensPrompt: Name the places from the right: ones, tens, hundreds, thousands.
  3. Sam's school collected 264 cans for recycling in March and 218 in April. How many cans is that altogether? → 482Prompt: Altogether means add.

Hook · 6 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Add four-digit numbers in columns. Read the success criteria together.

I do: model it · 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: 3946 + 2982 = ?
  • Step 1: ones: 6 + 2 = 8
  • Step 2: tens: 4 + 8 = 12, carry 1
  • Step 3: hundreds: 9 + 9 + 1 = 19, carry 1
  • Step 4: thousands: 3 + 2 + 1 = 6
  • Step 5: 3946 + 2982 = 6928
  • Answer: 6928
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 12 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. 5369 + 3765 = ? → 9134Prompt: Line up the digits by place value.
  2. Noah's family drove 2464 km on holiday last year and 805 km this year. What is the total distance? → 3269Prompt: Add the two distances.

You do: independent practice · 17 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 · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. 1338 + 2746 = ? → 4084Prompt: Line up the digits by place value.
  2. Kai's family drove 4028 km on holiday last year and 1766 km this year. What is the total distance? → 5794Prompt: Add the two distances.

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: Add three-digit numbers with regrouping.
  • 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

  • Move on to: Add numbers with more than four digits.
  • 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

eurekami

Add four-digit numbers in columns

Name

Date

Score/ 8

  1. Question 1

    3649 + 2346 = ?

    Answer

  2. Question 2

    Grace's family drove 3574 km on holiday last year and 1698 km this year. What is the total distance?

    Answer

  3. Question 3

    1026 + 1731 = ?

    Answer

  4. Question 4

    Ethan's family drove 4045 km on holiday last year and 876 km this year. What is the total distance?

    Answer

  5. Question 5

    1557 + 1809 = ?

    Answer

  6. Question 6

    Grace's family drove 3490 km on holiday last year and 479 km this year. What is the total distance?

    Answer

  7. Question 7

    3317 + 1884 = ?

    Answer

  8. Question 8

    Daniel's family drove 4218 km on holiday last year and 1346 km this year. What is the total distance?

    Answer

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Answer key: Add four-digit numbers in columns

  1. 1. 5995

  2. 2. 5272

  3. 3. 2757

  4. 4. 4921

  5. 5. 3366

  6. 6. 3969

  7. 7. 5201

  8. 8. 5564