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Math lesson plan Β· 3rd grade (Year 4 in England) Β· 45 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· 5 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 212? β†’ 112Prompt: Which digit changes when you subtract 100?
  2. 768 βˆ’ 508 = ? β†’ 260Prompt: Line up hundreds, tens and ones.
  3. What is 100 less than 713? β†’ 613Prompt: Which digit changes when you subtract 100?

Hook Β· 5 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· 10 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· 10 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. 618 + 99 = ? β†’ 717Prompt: 99 is close to 100.
  2. Tariq works out 642 βˆ’ 99 by doing 642 βˆ’ 100 = 542, then subtracting 1 more to get 541. What should Tariq have done, and what is 642 βˆ’ 99? β†’ 543Prompt: Taking away 100 takes away 1 too many.

You do: independent practice Β· 10 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· 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Chloe works out 554 βˆ’ 99 by doing 554 βˆ’ 100 = 454, then subtracting 1 more to get 453. What should Chloe have done, and what is 554 βˆ’ 99? β†’ 455Prompt: Taking away 100 takes away 1 too many.
  2. 398 + 98 = ? β†’ 496Prompt: 98 is close to 100.

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

    702 + 201 = ?

    Answer

  2. Question 2

    Kwame works out 771 βˆ’ 99 by doing 771 βˆ’ 100 = 671, then subtracting 1 more to get 670. What should Kwame have done, and what is 771 βˆ’ 99?

    Answer

  3. Question 3

    225 βˆ’ 98 = ?

    Answer

  4. Question 4

    Kofi works out 335 βˆ’ 99 by doing 335 βˆ’ 100 = 235, then subtracting 1 more to get 234. What should Kofi have done, and what is 335 βˆ’ 99?

    Answer

  5. Question 5

    281 + 299 = ?

    Answer

  6. Question 6

    Jamal works out 351 βˆ’ 99 by doing 351 βˆ’ 100 = 251, then subtracting 1 more to get 250. What should Jamal have done, and what is 351 βˆ’ 99?

    Answer

  7. Question 7

    281 βˆ’ 101 = ?

    Answer

  8. Question 8

    Diego works out 252 βˆ’ 99 by doing 252 βˆ’ 100 = 152, then subtracting 1 more to get 151. What should Diego have done, and what is 252 βˆ’ 99?

    Answer

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

  1. 1. 903

  2. 2. 672

  3. 3. 127

  4. 4. 236

  5. 5. 580

  6. 6. 252

  7. 7. 180

  8. 8. 153