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Math lesson plan Β· 7th grade (Year 8 in England) Β· 30 minutes

Add integers with number-line jumps

Number sense

CCSS 7.NS.A.1.ACCSS 7.NS.A.1.BEngland: KS3 Number

Objective and success criteria

Students will: Add integers with number-line jumps.

  • 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: Negative numbers and absolute value; Read and place integers on a number line

Leads to: Add integers using sign rules

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 (Negative numbers and absolute value; Read and place integers on a number line). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. The temperature is 5 Β°C at noon and βˆ’2 Β°C at night. By how many degrees did it fall? β†’ 7Prompt: Find the distance between the two numbers on the number line.
  2. The temperature is βˆ’3 Β°C at noon and βˆ’10 Β°C at night. By how many degrees did it fall? β†’ 7Prompt: Find the distance between the two numbers on the number line.

Hook Β· 3 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Add integers with number-line jumps. 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.
  • Model one question from the student sheet, thinking aloud.
  • 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.

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.

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: Negative numbers and absolute value.
  • 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

  • Move on to: Add integers using sign rules.
  • 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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Add integers with number-line jumps

Name

Date

Score/ 6

  1. Question 1

    6 + (βˆ’6) = ?

    +6βˆ’6βˆ’13βˆ’8βˆ’32712

    Answer

  2. Question 2

    The arrow starts at 0 and ends at 4. Which addition does it show?

    +4βˆ’16βˆ’12βˆ’8βˆ’40481216
    • A. 0 + (βˆ’4)
    • B. 4 + 4
    • C. 0 + 4
  3. Question 3

    Use the number line: 3 + (βˆ’7) = ?

    βˆ’18βˆ’15βˆ’12βˆ’9βˆ’6βˆ’30691215183

    Answer

  4. Question 4

    5 + (βˆ’5) = ?

    +5βˆ’5βˆ’13βˆ’8βˆ’32712

    Answer

  5. Question 5

    The arrow starts at βˆ’2 and ends at 3. Which addition does it show?

    +5βˆ’16βˆ’12βˆ’8βˆ’40481216
    • A. βˆ’2 + 3
    • B. 3 + 5
    • C. βˆ’2 + 5
    • D. βˆ’2 + (βˆ’5)
  6. Question 6

    Use the number line: βˆ’3 + 5 = ?

    βˆ’18βˆ’15βˆ’12βˆ’9βˆ’60369121518βˆ’3

    Answer

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Answer key: Add integers with number-line jumps

  1. 1. 0

  2. 2. C. 0 + 4

  3. 3. -4

  4. 4. 0

  5. 5. C. βˆ’2 + 5

  6. 6. 2