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Math lesson plan · 6th grade (Year 7 in England) · 30 minutes

Put integers in order

Number sense

CCSS 6.NS.C.7.AEngland: KS3 Number

Objective and success criteria

Students will: Put integers in order.

  • 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: Compare integers, including two negatives

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 · 4 min

  • Quick retrieval from earlier learning (Compare integers, including two negatives). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Choose the sign: −23 __ −17 (< / >) → <Prompt: Both numbers are negative. Which one is further left on the number line?
  2. It is −14 °C in a polar research station and −8 °C in a freezer. Which is colder? (a polar research station / a freezer) → a polar research stationPrompt: Colder means a lower temperature.
  3. Arjun writes: −1 < 7. Is Arjun right? (Yes, it is true / No, it is false) → Yes, it is truePrompt: Picture both numbers on a number line.

Hook · 3 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Put integers in order. Read the success criteria together.

I do: model it · 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Winter morning temperatures: Montreal −5 °C, Helsinki −3 °C, Reykjavik −19 °C, Anchorage −20 °C. Which city is coldest?
  • Step 1: The least temperature is −20 °C: Anchorage.
  • Answer: Anchorage
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 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. Winter morning temperatures: Oslo −14 °C, Anchorage 2 °C, Montreal −7 °C, Ulaanbaatar −20 °C. Which city is coldest? (Oslo / Anchorage / Montreal / Ulaanbaatar) → UlaanbaatarPrompt: The coldest city has the least temperature.
  2. Winter morning temperatures: Ulaanbaatar −16 °C, Montreal −12 °C, Reykjavik −1 °C, Anchorage −7 °C. Which city is coldest? (Ulaanbaatar / Montreal / Reykjavik / Anchorage) → UlaanbaatarPrompt: The coldest city has the least temperature.

You do: independent practice · 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 · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Winter morning temperatures: Montreal −2 °C, Oslo −10 °C, Anchorage 1 °C, Reykjavik −15 °C. Which city is coldest? (Montreal / Oslo / Anchorage / Reykjavik) → ReykjavikPrompt: The coldest city has the least temperature.
  2. Winter morning temperatures: Reykjavik −6 °C, Ulaanbaatar −12 °C, Oslo −11 °C, Montreal −1 °C. Which city is coldest? (Reykjavik / Ulaanbaatar / Oslo / Montreal) → UlaanbaatarPrompt: The coldest city has the least temperature.

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: Compare integers, including two negatives.
  • 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-6.

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

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Put integers in order

Name

Date

Score/ 6

  1. Question 1

    Winter morning temperatures: Anchorage −21 °C, Helsinki −12 °C, Reykjavik −3 °C, Oslo −4 °C. Which city is coldest?

    • A. Anchorage
    • B. Helsinki
    • C. Reykjavik
    • D. Oslo
  2. Question 2

    Winter morning temperatures: Helsinki −1 °C, Ulaanbaatar −13 °C, Anchorage −10 °C, Oslo −14 °C. Which city is coldest?

    • A. Helsinki
    • B. Ulaanbaatar
    • C. Anchorage
    • D. Oslo
  3. Question 3

    Winter morning temperatures: Oslo −4 °C, Reykjavik −16 °C, Helsinki −6 °C, Anchorage −3 °C. Which city is coldest?

    • A. Oslo
    • B. Reykjavik
    • C. Helsinki
    • D. Anchorage
  4. Question 4

    Winter morning temperatures: Reykjavik −18 °C, Oslo −22 °C, Helsinki −14 °C, Anchorage −12 °C. Which city is coldest?

    • A. Reykjavik
    • B. Oslo
    • C. Helsinki
    • D. Anchorage
  5. Question 5

    Winter morning temperatures: Reykjavik −5 °C, Helsinki −6 °C, Anchorage −16 °C, Montreal 1 °C. Which city is coldest?

    • A. Reykjavik
    • B. Helsinki
    • C. Anchorage
    • D. Montreal
  6. Question 6

    Winter morning temperatures: Montreal −24 °C, Anchorage −10 °C, Helsinki −2 °C, Reykjavik −6 °C. Which city is coldest?

    • A. Montreal
    • B. Anchorage
    • C. Helsinki
    • D. Reykjavik

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Answer key: Put integers in order

  1. 1. A. Anchorage

  2. 2. D. Oslo

  3. 3. B. Reykjavik

  4. 4. B. Oslo

  5. 5. C. Anchorage

  6. 6. A. Montreal