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Math lesson plan Β· 3rd grade (Year 4 in England) Β· 30 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· 4 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 703? β†’ 803Prompt: Which digit changes when you add 100?
  2. 674 βˆ’ 541 = ? β†’ 133Prompt: Line up hundreds, tens and ones.
  3. What is 100 less than 859? β†’ 759Prompt: Which digit changes when you subtract 100?

Hook Β· 3 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· 7 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· 6 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. 184 + 199 = ? β†’ 383Prompt: 199 is close to 200.
  2. Ravi works out 541 βˆ’ 99 by doing 541 βˆ’ 100 = 441, then subtracting 1 more to get 440. What should Ravi have done, and what is 541 βˆ’ 99? β†’ 442Prompt: Taking away 100 takes away 1 too many.

You do: independent practice Β· 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket Β· 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. 499 + 299 = ? β†’ 798Prompt: 299 is close to 300.
  2. Daniel works out 313 βˆ’ 99 by doing 313 βˆ’ 100 = 213, then subtracting 1 more to get 212. What should Daniel have done, and what is 313 βˆ’ 99? β†’ 214Prompt: 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/ 6

  1. Question 1

    432 βˆ’ 101 = ?

    Answer

  2. Question 2

    Nia works out 542 βˆ’ 99 by doing 542 βˆ’ 100 = 442, then subtracting 1 more to get 441. What should Nia have done, and what is 542 βˆ’ 99?

    Answer

  3. Question 3

    554 + 201 = ?

    Answer

  4. Question 4

    Mei works out 630 βˆ’ 99 by doing 630 βˆ’ 100 = 530, then subtracting 1 more to get 529. What should Mei have done, and what is 630 βˆ’ 99?

    Answer

  5. Question 5

    716 + 99 = ?

    Answer

  6. Question 6

    Mei works out 396 βˆ’ 99 by doing 396 βˆ’ 100 = 296, then subtracting 1 more to get 295. What should Mei have done, and what is 396 βˆ’ 99?

    Answer

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

  1. 1. 331

  2. 2. 443

  3. 3. 755

  4. 4. 531

  5. 5. 815

  6. 6. 297