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Math lesson plan Β· 7th grade (Year 8 in England) Β· 60 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· 6 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 4 Β°C at noon and βˆ’10 Β°C at night. By how many degrees did it fall? β†’ 14Prompt: Find the distance between the two numbers on the number line.

Hook Β· 6 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· 12 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· 12 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· 17 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 Β· 7 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/ 8

  1. Question 1

    2 + (βˆ’3) = ?

    +2βˆ’3βˆ’13βˆ’8βˆ’32712

    Answer

  2. Question 2

    Use the number line: βˆ’8 + 7 = ?

    βˆ’18βˆ’15βˆ’12βˆ’9βˆ’6βˆ’30369121518βˆ’8

    Answer

  3. Question 3

    The arrow starts at 6 and ends at 7. Which addition does it show?

    +1βˆ’16βˆ’12βˆ’8βˆ’40481216
    • A. 7 + 1
    • B. 6 + 7
    • C. 6 + (βˆ’1)
    • D. 6 + 1
  4. Question 4

    3 + (βˆ’3) = ?

    +3βˆ’3βˆ’13βˆ’8βˆ’32712

    Answer

  5. Question 5

    Use the number line: βˆ’4 + (βˆ’1) = ?

    βˆ’18βˆ’15βˆ’12βˆ’9βˆ’6βˆ’30369121518βˆ’4

    Answer

  6. Question 6

    The arrow starts at 0 and ends at βˆ’3. Which addition does it show?

    βˆ’3βˆ’16βˆ’12βˆ’8βˆ’40481216
    • A. 0 + 3
    • B. βˆ’3 + (βˆ’3)
    • C. 0 + (βˆ’3)
  7. Question 7

    6 + (βˆ’6) = ?

    +6βˆ’6βˆ’13βˆ’8βˆ’32712

    Answer

  8. Question 8

    The arrow starts at βˆ’7 and ends at 0. Which addition does it show?

    +7βˆ’16βˆ’12βˆ’8βˆ’40481216
    • A. βˆ’7 + 7
    • B. 0 + 7
    • C. βˆ’7 + 0
    • D. βˆ’7 + (βˆ’7)

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Answer key: Add integers with number-line jumps

  1. 1. -1

  2. 2. -1

  3. 3. D. 6 + 1

  4. 4. 0

  5. 5. -5

  6. 6. C. 0 + (βˆ’3)

  7. 7. 0

  8. 8. A. βˆ’7 + 7