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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 less than 728? β†’ 628Prompt: Which digit changes when you subtract 100?
  2. 430 βˆ’ 206 = ? β†’ 224Prompt: Line up hundreds, tens and ones.
  3. What is 10 less than 198? β†’ 188Prompt: Which digit changes when you subtract 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. 370 + 199 = ? β†’ 569Prompt: 199 is close to 200.
  2. Mei works out 440 βˆ’ 99 by doing 440 βˆ’ 100 = 340, then subtracting 1 more to get 339. What should Mei have done, and what is 440 βˆ’ 99? β†’ 341Prompt: 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. 641 βˆ’ 101 = ? β†’ 540Prompt: 101 is close to 100.
  2. Liam works out 296 βˆ’ 99 by doing 296 βˆ’ 100 = 196, then subtracting 1 more to get 195. What should Liam have done, and what is 296 βˆ’ 99? β†’ 197Prompt: 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

    Ravi works out 426 βˆ’ 99 by doing 426 βˆ’ 100 = 326, then subtracting 1 more to get 325. What should Ravi have done, and what is 426 βˆ’ 99?

    Answer

  2. Question 2

    769 + 101 = ?

    Answer

  3. Question 3

    Sam works out 821 βˆ’ 99 by doing 821 βˆ’ 100 = 721, then subtracting 1 more to get 720. What should Sam have done, and what is 821 βˆ’ 99?

    Answer

  4. Question 4

    241 βˆ’ 98 = ?

    Answer

  5. Question 5

    Felix works out 662 βˆ’ 99 by doing 662 βˆ’ 100 = 562, then subtracting 1 more to get 561. What should Felix have done, and what is 662 βˆ’ 99?

    Answer

  6. Question 6

    134 + 101 = ?

    Answer

  7. Question 7

    Zoe works out 457 βˆ’ 99 by doing 457 βˆ’ 100 = 357, then subtracting 1 more to get 356. What should Zoe have done, and what is 457 βˆ’ 99?

    Answer

  8. Question 8

    743 + 201 = ?

    Answer

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

  1. 1. 327

  2. 2. 870

  3. 3. 722

  4. 4. 143

  5. 5. 563

  6. 6. 235

  7. 7. 358

  8. 8. 944