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Math lesson plan Β· 6th grade (Year 7 in England) Β· 45 minutes

Work with absolute value

Number sense

CCSS 6.NS.C.7.CCCSS 6.NS.C.7.DEngland: KS3 Number

Objective and success criteria

Students will: Work with absolute value.

  • 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; Compare integers, including two negatives

Leads to: Distance between two integers

Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).

Warm-up Β· 5 min

  • Quick retrieval from earlier learning (Negative numbers and absolute value; 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: βˆ’9 __ βˆ’27 (< / >) β†’ >Prompt: Both numbers are negative. Which one is further left on the number line?
  2. The temperature is βˆ’4 Β°C at noon and βˆ’11 Β°C at night. By how many degrees did it fall? β†’ 7Prompt: Find the distance between the two numbers on the number line.
  3. Choose the sign: βˆ’2 __ βˆ’10 (< / >) β†’ >Prompt: Both numbers are negative. Which one is further left on the number line?

Hook Β· 5 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Work with absolute value. Read the success criteria together.

I do: model it Β· 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: |2| + |βˆ’15| = ?
  • Step 1: |2| = 2, |βˆ’15| = 15
  • Step 2: 2 + 15 = 17
  • Answer: 17
  • Pause after each step and ask a student to say what comes next.

We do: guided practice Β· 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. |βˆ’19| βˆ’ |βˆ’19| = ? β†’ 0Prompt: Find each absolute value first: its distance from 0.
  2. Which number has the greatest absolute value? 17, 10, βˆ’21, βˆ’9 (17 / βˆ’9 / βˆ’21 / 10) β†’ βˆ’21Prompt: Ignore the signs: which number is furthest from 0?

You do: independent practice Β· 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 Β· 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. |4| + |19| = ? β†’ 23Prompt: Find each absolute value first: its distance from 0.
  2. Kwame's game-shop account balance is βˆ’81 credits. A friend's balance is βˆ’91 credits. Who owes more? (Kwame / The friend) β†’ The friendPrompt: A negative balance is money owed. The size of the debt is the absolute value.

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: Distance between two integers.
  • 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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Work with absolute value

Name

Date

Score/ 8

  1. Question 1

    |20| βˆ’ |8| = ?

    Answer

  2. Question 2

    Which number has the greatest absolute value? 25, βˆ’17, βˆ’9, 6

    • A. 6
    • B. 25
    • C. βˆ’17
    • D. βˆ’9
  3. Question 3

    Noah's game-shop account balance is βˆ’83 credits. A friend's balance is βˆ’93 credits. Who owes more?

    • A. Noah
    • B. The friend
  4. Question 4

    |βˆ’2| βˆ’ |βˆ’4| = ?

    Answer

  5. Question 5

    Which number has the greatest absolute value? 30, βˆ’21, βˆ’10, 9

    • A. βˆ’21
    • B. βˆ’10
    • C. 30
    • D. 9
  6. Question 6

    Ines's game-shop account balance is βˆ’57 credits. A friend's balance is βˆ’52 credits. Who owes more?

    • A. Ines
    • B. The friend
  7. Question 7

    |5| + |βˆ’8| = ?

    Answer

  8. Question 8

    Which number has the greatest absolute value? βˆ’13, 25, βˆ’12, βˆ’19

    • A. βˆ’12
    • B. βˆ’13
    • C. 25
    • D. βˆ’19

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Answer key: Work with absolute value

  1. 1. 12

  2. 2. B. 25

  3. 3. B. The friend

  4. 4. -2

  5. 5. C. 30

  6. 6. A. Ines

  7. 7. 13

  8. 8. C. 25