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Math lesson plan Β· 1st grade (Year 2 in England) Β· 30 minutes

Make a sensible estimate

Number sense

CCSS 1.NBT.A.1England: Y2 Number and place value

Objective and success criteria

Students will: Make a sensible estimate.

  • 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: Count to 100 by ones and tens

Leads to: the next skill in this area.

Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).

Warm-up Β· 4 min

  • Quick retrieval from earlier learning (Count to 100 by ones and tens). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Count by tens. What is missing? 30, __, 50, 60, 70 β†’ 40Prompt: Each number is 10 more than the one before.
  2. Count by tens. What is missing? 60, 70, __, 90, 100 β†’ 80Prompt: Each number is 10 more than the one before.
  3. Count by tens. What is missing? 10, __, 30, 40, 50 β†’ 20Prompt: Each number is 10 more than the one before.

Hook Β· 3 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Make a sensible estimate. 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: Without counting one by one, which is the best estimate for the number of hearts? β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯
  • Step 1: There are 52, which is close to 50.
  • Step 2: About 50.
  • Answer: about 50
  • 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. Without counting one by one, which is the best estimate for the number of diamonds? β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† (about 10 / about 50 / about 20 / about 5) β†’ about 50Prompt: Each full line has 10.
  2. Which is the most sensible estimate for the number of pages in a picture book? (1000 / 30 / 300 / 3) β†’ 30Prompt: Picture it in your head.

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. Without counting one by one, which is the best estimate for the number of diamonds? β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† β—† (about 10 / about 20 / about 100 / about 50) β†’ about 50Prompt: Each full line has 10.
  2. Which is the most sensible estimate for the number of apples in a small bag? (600 / 1 / 6 / 60) β†’ 6Prompt: Picture it in your head.

Watch out for

  • Reading 1,045 as one thousand four hundred five: point to each place and say its value.
  • Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).

Support and stretch

Support

  • Review first: Count to 100 by ones and tens.
  • Use concrete materials: place value chart.
  • 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-1.

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

eurekami

Make a sensible estimate

Name

Date

Score/ 6

  1. Question 1

    Which is the most sensible estimate for the number of seats on a school bus?

    • A. 50
    • B. 5000
    • C. 500
    • D. 5
  2. Question 2

    Without counting one by one, which is the best estimate for the number of hearts? β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯ β™₯

    • A. about 50
    • B. about 10
    • C. about 5
    • D. about 20
  3. Question 3

    Which is the most sensible estimate for the number of steps to walk across a classroom?

    • A. 10
    • B. 100
    • C. 1000
    • D. 1
  4. Question 4

    Without counting one by one, which is the best estimate for the number of stars? β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜… β˜…

    • A. about 20
    • B. about 50
    • C. about 10
    • D. about 100
  5. Question 5

    Which is the most sensible estimate for the number of crayons in a box?

    • A. 12
    • B. 120
    • C. 1200
    • D. 1
  6. Question 6

    Without counting one by one, which is the best estimate for the number of squares? β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β–  β– 

    • A. about 20
    • B. about 50
    • C. about 100
    • D. about 10

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Answer key: Make a sensible estimate

  1. 1. A. 50

  2. 2. A. about 50

  3. 3. A. 10

  4. 4. B. about 50

  5. 5. A. 12

  6. 6. A. about 20