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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 574? β†’ 474Prompt: Which digit changes when you subtract 100?
  2. 311 βˆ’ 150 = ? β†’ 161Prompt: Line up hundreds, tens and ones.
  3. What is 10 less than 586? β†’ 576Prompt: 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. 703 + 101 = ? β†’ 804Prompt: 101 is close to 100.
  2. Liam works out 618 βˆ’ 99 by doing 618 βˆ’ 100 = 518, then subtracting 1 more to get 517. What should Liam have done, and what is 618 βˆ’ 99? β†’ 519Prompt: 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. 601 + 201 = ? β†’ 802Prompt: 201 is close to 200.
  2. Nia works out 682 βˆ’ 99 by doing 682 βˆ’ 100 = 582, then subtracting 1 more to get 581. What should Nia have done, and what is 682 βˆ’ 99? β†’ 583Prompt: 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

    Ava works out 878 βˆ’ 99 by doing 878 βˆ’ 100 = 778, then subtracting 1 more to get 777. What should Ava have done, and what is 878 βˆ’ 99?

    Answer

  2. Question 2

    576 βˆ’ 199 = ?

    Answer

  3. Question 3

    Grace works out 648 βˆ’ 99 by doing 648 βˆ’ 100 = 548, then subtracting 1 more to get 547. What should Grace have done, and what is 648 βˆ’ 99?

    Answer

  4. Question 4

    267 βˆ’ 201 = ?

    Answer

  5. Question 5

    Kai works out 417 βˆ’ 99 by doing 417 βˆ’ 100 = 317, then subtracting 1 more to get 316. What should Kai have done, and what is 417 βˆ’ 99?

    Answer

  6. Question 6

    505 + 101 = ?

    Answer

  7. Question 7

    Maya works out 320 βˆ’ 99 by doing 320 βˆ’ 100 = 220, then subtracting 1 more to get 219. What should Maya have done, and what is 320 βˆ’ 99?

    Answer

  8. Question 8

    626 + 99 = ?

    Answer

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

  1. 1. 779

  2. 2. 377

  3. 3. 549

  4. 4. 66

  5. 5. 318

  6. 6. 606

  7. 7. 221

  8. 8. 725