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Math lesson plan · 7th grade (Year 8 in England) · 45 minutes

Solve integer problems about temperature, height and money

Number sense

CCSS 7.NS.A.1CCSS 7.NS.A.3England: KS3 NumberEngland: GCSE Foundation Number

Objective and success criteria

Students will: Solve integer problems about temperature, height and money.

  • 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: Subtract integers by adding the opposite

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 · 5 min

  • Quick retrieval from earlier learning (Subtract integers by adding the opposite). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 16 − (−6) = ? → 22Prompt: Subtracting a negative is the same as adding a positive.
  2. −35 − 25 = ? → -60Prompt: Rewrite as −35 + (−25).
  3. Ava says −3 − (−3) = −6. What is the correct answer? → 0Prompt: Ava treated “− (−3)” as adding −3.

Hook · 5 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Solve integer problems about temperature, height and money. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: At night a weather station recorded −11 °C. The next afternoon it recorded 10 °C. By how many degrees did the temperature rise?
  • Step 1: 10 − (−11) = 21
  • Answer: 21
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 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. At night a weather station recorded −20 °C. The next afternoon it recorded 0 °C. By how many degrees did the temperature rise? → 20Prompt: Rise = later temperature − earlier temperature.
  2. Mei dives from a cliff 50 m above sea level and reaches 21 m below sea level (−21 m). How far did Mei travel down, in m? → 71Prompt: Find the difference between the two heights.

You do: independent practice · 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Amara dives from a cliff 47 m above sea level and reaches 40 m below sea level (−40 m). How far did Amara travel down, in m? → 87Prompt: Find the difference between the two heights.
  2. At night a weather station recorded −22 °C. The next afternoon it recorded −3 °C. By how many degrees did the temperature rise? → 19Prompt: Rise = later temperature − earlier 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: Subtract integers by adding the opposite.
  • 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-7.

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

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Solve integer problems about temperature, height and money

Name

Date

Score/ 8

  1. Question 1

    Mei dives from a cliff 59 m above sea level and reaches 13 m below sea level (−13 m). How far did Mei travel down, in m?

    Answer

  2. Question 2

    Fatima's account balance is −1 (in whole dollars). Then Fatima spends $30, spends $29 and receives $17. What is the new balance? (Type the number; it may be negative.)

    Answer

  3. Question 3

    At night a weather station recorded −13 °C. The next afternoon it recorded 6 °C. By how many degrees did the temperature rise?

    Answer

  4. Question 4

    Nia dives from a cliff 17 m above sea level and reaches 14 m below sea level (−14 m). How far did Nia travel down, in m?

    Answer

  5. Question 5

    Grace's account balance is −31 (in whole dollars). Then Grace spends $2, receives $6 and receives $30. What is the new balance? (Type the number; it may be negative.)

    Answer

  6. Question 6

    At night a weather station recorded −21 °C. The next afternoon it recorded 1 °C. By how many degrees did the temperature rise?

    Answer

  7. Question 7

    Hiro dives from a cliff 8 m above sea level and reaches 17 m below sea level (−17 m). How far did Hiro travel down, in m?

    Answer

  8. Question 8

    Lucia's account balance is −2 (in whole dollars). Then Lucia spends $6, spends $34 and spends $2. What is the new balance? (Type the number; it may be negative.)

    Answer

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Answer key: Solve integer problems about temperature, height and money

  1. 1. 72

  2. 2. -43

  3. 3. 19

  4. 4. 31

  5. 5. 3

  6. 6. 22

  7. 7. 25

  8. 8. -44