6.NOS.8 Group 1 · Extra Support

Practice Set · Part 1

Compare and Order Integers and Rational Numbers

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: With my small group, I can compare and order integers using a number line — one step at a time, with support.

The big idea: The number farther right on the number line is greater, so a negative number farther from 0 is less.

Model to copy — Example 1 · Two negative numbers

  1. Compare −7 and −5. Use < or >.
  2. Find −7 and −5 on the number line: −7 and −5
  3. Find the number that is farther left: −7: 7 units left → −5: 5 units left
  4. Write the comparison with a symbol: −7 < −5
  5. −7 < −5. −7 is less than −5.

Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

  1. 1

    Same stepsFinish what the group started. Use the model above, step for step.

    Let's do one together: Compare −2 and 3. Use < or >. Which number is to the left on the number line? (−2. It is left of 0.) Which number is to the right? (3. It is right of 0.) Which number is greater? Which symbol do we use? (3 is greater, so −2 < 3.)

    My first step is ___ , because the problem asks for ___ .

    Show your work
  2. 2

    Warm restartWhat is the absolute value of -9?

    1. A-9
    2. B0
    3. C1
    4. D9
  3. 3

    Warm restartWhich integer has the GREATEST absolute value: -3, 7, -5, 2?

    1. A-5
    2. B-3
    3. C2
    4. D7
  4. 4

    Warm restartWhat is |0|?

    1. A1
    2. B-1
    3. C0
    4. DThere is no answer
7.4 Small Group · Group 1 · Practice SetPart 1 of 4
6.NOS.8 Group 1 · Extra Support

Practice Set · Part 2

Compare and Order Integers and Rational Numbers

Keep going

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

  1. 5

    Think it throughWhich day was coldest?

    1. AThursday at −1°F
    2. BTuesday at 2°F
    3. CMonday at −4°F
    4. DWednesday at −7°F

    Why is that the answer?

    I chose ___ because ___ .

  2. 6

    Think it throughWhich is colder, −4°F or −1°F?

    1. A−4°F, because it is farther left on the number line
    2. B−1°F, because 1 is smaller than 4
    3. CThey are the same
    4. D−1°F, because it is closer to zero

    How do you know?

    I chose ___ because ___ .

  3. 7

    Think it throughOrder the temperatures from coldest to warmest.

    1. A−1, −4, −7, 2, 5
    2. B2, 5, −1, −4, −7
    3. C5, 2, −1, −4, −7
    4. D−7, −4, −1, 2, 5

    Explain your thinking.

    I chose ___ because ___ .

  4. 8

    Back to the modelHow does plotting on the number line help you compare and order integers?

    On the number line, ___ is to the left of ___, so ___ < ___. The order from least to greatest is ___.

7.4 Small Group · Group 1 · Practice SetPart 2 of 4
6.NOS.8 Group 1 · Extra Support

Practice Set · Part 3

Compare and Order Integers and Rational Numbers

Words and reasoning

Word bank · Banco de palabras

Number line (Recta numérica)Compare (Comparar)Order (Ordenar)Greater than (Mayor que)Less than (Menor que)Negative integer (Entero negativo)Integer (Número entero)

Use the words

Fill each blank with a word from the bank.

Explain the thinking

  1. 9

    Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

    The mistake: A common mistake in Compare and Order Integers is thinking that a negative number with a bigger digit is the bigger value — for example, believing -15 is greater than -8 because 15 is greater than 8.
  2. 10

    Say moreOrder these temperatures from coldest to warmest: -8, 3, -1, 5. How does the number line help you put them in order?

    The coldest temperature is ___ because it is farthest ___.

  3. 11

    Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

    If ___ changed to ___ , then ___ .

    Show your work
7.4 Small Group · Group 1 · Practice SetPart 3 of 4
6.NOS.8 Group 1 · Extra Support

Practice Set · Part 4

Compare and Order Integers and Rational Numbers

Show what you know

Last check

These two come from Lesson 7.3. If they are shaky, that is the lesson to revisit — not this one.

  1. 12

    Show what you knowQuick check — you've got this: Which list shows the integers in order from LEAST to GREATEST?

    1. A-5, -2, 0, 3, 7
    2. B-2, -5, 0, 3, 7
    3. C0, -2, -5, 3, 7
    4. D7, 3, 0, -2, -5

    Explain your choice.

    I know it is ___ because ___ .

  2. 13

    From Lesson 7.3Quick check — you've got this: Which integer has an absolute value of 8 and is located to the LEFT of zero on the number line?

    1. A-80
    2. B-8
    3. C0
    4. D8
  3. 14

    From Lesson 7.3Which craft is at the LOWER position?

    1. AThe helicopter, because 200 > 150
    2. BThey are equal
    3. CThe submarine, because 150 < 200
    4. DThe submarine, because −150 < 200

Be honest — this tells your teacher what to do next

I can…Not yetGetting thereGot it
I can compare and order integers using a number line — one step at a time, with support.
I can explain why it works: The number farther right on the number line is greater, so a negative number farther from 0 is less.
I can talk through each step out loud using a sentence frame and the lesson's key words.

One question I want to ask my group next time