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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. 23 − (−23) = ? → 46Prompt: Subtracting a negative is the same as adding a positive.
  2. −12 − 30 = ? → -42Prompt: Rewrite as −12 + (−30).
  3. Aisha says −11 − (−13) = −24. What is the correct answer? → 2Prompt: Aisha treated “− (−13)” as adding −13.

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 −10 °C. The next afternoon it recorded 1 °C. By how many degrees did the temperature rise? → 11Prompt: Rise = later temperature − earlier temperature.
  2. Tariq dives from a cliff 10 m above sea level and reaches 26 m below sea level (−26 m). How far did Tariq travel down, in m? → 36Prompt: 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. At night a weather station recorded −3 °C. The next afternoon it recorded 10 °C. By how many degrees did the temperature rise? → 13Prompt: Rise = later temperature − earlier temperature.
  2. Isla dives from a cliff 33 m above sea level and reaches 13 m below sea level (−13 m). How far did Isla travel down, in m? → 46Prompt: Find the difference between the two heights.

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

eurekami

Solve integer problems about temperature, height and money

Name

Date

Score/ 8

  1. Question 1

    Noah dives from a cliff 41 m above sea level and reaches 25 m below sea level (−25 m). How far did Noah travel down, in m?

    Answer

  2. Question 2

    Ben's account balance is −35 (in whole dollars). Then Ben receives $33, spends $3 and receives $27. What is the new balance? (Type the number; it may be negative.)

    Answer

  3. Question 3

    At night a weather station recorded −25 °C. The next afternoon it recorded 5 °C. By how many degrees did the temperature rise?

    Answer

  4. Question 4

    Chloe dives from a cliff 51 m above sea level and reaches 39 m below sea level (−39 m). How far did Chloe travel down, in m?

    Answer

  5. Question 5

    Liam's account balance is −28 (in whole dollars). Then Liam receives $49, receives $27 and receives $19. What is the new balance? (Type the number; it may be negative.)

    Answer

  6. Question 6

    At night a weather station recorded −16 °C. The next afternoon it recorded 6 °C. By how many degrees did the temperature rise?

    Answer

  7. Question 7

    Maya dives from a cliff 44 m above sea level and reaches 11 m below sea level (−11 m). How far did Maya travel down, in m?

    Answer

  8. Question 8

    Noah's account balance is −15 (in whole dollars). Then Noah spends $18, receives $14 and spends $44. 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. 66

  2. 2. 22

  3. 3. 30

  4. 4. 90

  5. 5. 67

  6. 6. 22

  7. 7. 55

  8. 8. -63