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Math lesson plan Β· 6th grade (Year 7 in England) Β· 60 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· 6 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’12 __ βˆ’22 (< / >) β†’ >Prompt: Both numbers are negative. Which one is further left on the number line?
  2. Choose the sign: βˆ’8 __ βˆ’17 (< / >) β†’ >Prompt: Both numbers are negative. Which one is further left on the number line?
  3. The temperature is 17 Β°C at noon and βˆ’2 Β°C at night. By how many degrees did it fall? β†’ 19Prompt: 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: Work with absolute value. 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.
  • 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· 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.
  1. |βˆ’9| βˆ’ |βˆ’1| = ? β†’ 8Prompt: Find each absolute value first: its distance from 0.
  2. Which number has the greatest absolute value? βˆ’1, 26, βˆ’14, 28 (26 / βˆ’14 / βˆ’1 / 28) β†’ 28Prompt: Ignore the signs: which number is furthest from 0?

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.
  1. Priya's game-shop account balance is βˆ’21 credits. A friend's balance is βˆ’26 credits. Who owes more? (Priya / The friend) β†’ The friendPrompt: A negative balance is money owed. The size of the debt is the absolute value.
  2. |2| βˆ’ |4| = ? β†’ -2Prompt: Find each absolute value first: its distance from 0.

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

    Amara's game-shop account balance is βˆ’87 credits. A friend's balance is βˆ’77 credits. Who owes more?

    • A. Amara
    • B. The friend
  2. Question 2

    |4| + |βˆ’18| = ?

    Answer

  3. Question 3

    Which number has the greatest absolute value? βˆ’7, βˆ’18, βˆ’15, βˆ’20

    • A. βˆ’15
    • B. βˆ’7
    • C. βˆ’18
    • D. βˆ’20
  4. Question 4

    Elena's game-shop account balance is βˆ’46 credits. A friend's balance is βˆ’51 credits. Who owes more?

    • A. Elena
    • B. The friend
  5. Question 5

    |βˆ’6| + |βˆ’15| = ?

    Answer

  6. Question 6

    Which number has the greatest absolute value? βˆ’25, βˆ’24, βˆ’7, βˆ’19

    • A. βˆ’7
    • B. βˆ’19
    • C. βˆ’24
    • D. βˆ’25
  7. Question 7

    Sofia's game-shop account balance is βˆ’32 credits. A friend's balance is βˆ’27 credits. Who owes more?

    • A. Sofia
    • B. The friend
  8. Question 8

    |16| βˆ’ |βˆ’14| = ?

    Answer

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Answer key: Work with absolute value

  1. 1. A. Amara

  2. 2. 22

  3. 3. D. βˆ’20

  4. 4. B. The friend

  5. 5. 21

  6. 6. D. βˆ’25

  7. 7. A. Sofia

  8. 8. 2