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

Mental addition and subtraction by adjusting (99, 199, 101…)

Addition and subtraction

CCSS 3.NBT.A.2England: Y3 Addition and subtraction

Objective and success criteria

Students will: Mental addition and subtraction by adjusting (99, 199, 101…).

  • 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 and subtract within 1000

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 Β· 6 min

  • Quick retrieval from earlier learning (Add and subtract within 1000). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is 100 more than 469? β†’ 569Prompt: Which digit changes when you add 100?
  2. 608 βˆ’ 242 = ? β†’ 366Prompt: Line up hundreds, tens and ones.
  3. What is 10 more than 691? β†’ 701Prompt: Which digit changes when you add 10?

Hook Β· 6 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Mental addition and subtraction by adjusting (99, 199, 101…). Read the success criteria together.

I do: model it Β· 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: 388 βˆ’ 101 = ?
  • Step 1: 388 βˆ’ 100 = 288
  • Step 2: 288 βˆ’ 1 = 287
  • Answer: 287
  • Pause after each step and ask a student to say what comes next.

We do: guided practice Β· 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. 564 βˆ’ 98 = ? β†’ 466Prompt: 98 is close to 100.
  2. Mateo works out 775 βˆ’ 99 by doing 775 βˆ’ 100 = 675, then subtracting 1 more to get 674. What should Mateo have done, and what is 775 βˆ’ 99? β†’ 676Prompt: Taking away 100 takes away 1 too many.

You do: independent practice Β· 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 Β· 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. 791 βˆ’ 98 = ? β†’ 693Prompt: 98 is close to 100.
  2. Mateo works out 537 βˆ’ 99 by doing 537 βˆ’ 100 = 437, then subtracting 1 more to get 436. What should Mateo have done, and what is 537 βˆ’ 99? β†’ 438Prompt: Taking away 100 takes away 1 too many.

Watch out for

  • Subtracting the smaller digit from the bigger one in every column (52 βˆ’ 17 = 45).
  • Forgetting to add the regrouped (carried) ten.

Support and stretch

Support

  • Review first: Add and subtract within 1000.
  • 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-3.

Free lesson plan from eurekami.com/lesson-plan-builder

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Mental addition and subtraction by adjusting (99, 199, 101…)

Name

Date

Score/ 8

  1. Question 1

    Ben works out 721 βˆ’ 99 by doing 721 βˆ’ 100 = 621, then subtracting 1 more to get 620. What should Ben have done, and what is 721 βˆ’ 99?

    Answer

  2. Question 2

    302 + 299 = ?

    Answer

  3. Question 3

    Ana works out 560 βˆ’ 99 by doing 560 βˆ’ 100 = 460, then subtracting 1 more to get 459. What should Ana have done, and what is 560 βˆ’ 99?

    Answer

  4. Question 4

    226 + 199 = ?

    Answer

  5. Question 5

    Arjun works out 266 βˆ’ 99 by doing 266 βˆ’ 100 = 166, then subtracting 1 more to get 165. What should Arjun have done, and what is 266 βˆ’ 99?

    Answer

  6. Question 6

    405 βˆ’ 99 = ?

    Answer

  7. Question 7

    Ava works out 510 βˆ’ 99 by doing 510 βˆ’ 100 = 410, then subtracting 1 more to get 409. What should Ava have done, and what is 510 βˆ’ 99?

    Answer

  8. Question 8

    174 + 201 = ?

    Answer

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Answer key: Mental addition and subtraction by adjusting (99, 199, 101…)

  1. 1. 622

  2. 2. 601

  3. 3. 461

  4. 4. 425

  5. 5. 167

  6. 6. 306

  7. 7. 411

  8. 8. 375