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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.

   Try it together — then prove it: Now let's compare -2 and 3. Which one is to the left on the number line? The -2 is left of zero. Which one is to the right? The 3 is right of zero. So which is greater, and what symbol do we use? 3 is greater, so -2 < 3. Now prove it: say why that move had to work at all — not just that it did.

   Show your work
2. 2

   Warm restartWhat is the absolute value of -9?

   1. A-9
   2. B9
   3. C0
   4. D1

   How do you know?
3. 3

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

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

   How do you know?
4. 4

   Warm restartWhat is |0|?

   1. A1
   2. B-1
   3. C0
   4. DThere is no answer

   How do you know?

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. AWednesday at −7°F
   2. BMonday at −4°F
   3. CThursday at −1°F
   4. DTuesday at 2°F

   Why is that the answer?
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? Give a second reason as well.
3. 7

   Think it throughOrder the temperatures from coldest to warmest.

   1. A−7, −4, −1, 2, 5
   2. B−1, −4, −7, 2, 5
   3. C2, 5, −1, −4, −7
   4. D5, 2, −1, −4, −7

   Explain your thinking. What would have to change for a different choice to be right?
4. 8

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

Use the words

Fill each blank with a word from the bank.

• On a number line, the number farther to the ___ is always less.
• To plot integers in order, place them on a ___.
• To decide which number is larger or smaller is to ___ them.
• To arrange numbers from least to greatest or greatest to least is to ___ them.

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?
3. 11

   Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: A dive team marks the depth of each treasure on a map, measured in feet relative to sea level. The gold coin is at -2 ft, the silver crown at -7 ft, the ruby ring at -5 ft, and a buoy floats at +3 ft.

   Show your work

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 knowExplain your thinking — Which list shows the integers in order from LEAST to GREATEST?

   1. A-2, -5, 0, 3, 7
   2. B7, 3, 0, -2, -5
   3. C-5, -2, 0, 3, 7
   4. D0, -2, -5, 3, 7

   Explain your choice.
2. 13

   From Lesson 7.3Explain your thinking — Which integer has an absolute value of 8 and is located to the LEFT of zero on the number line?

   1. A8
   2. B-8
   3. C0
   4. D-80

   How do you know?
3. 14

   From Lesson 7.3Which craft is at the LOWER position?

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

   How do you know?

Be honest — this tells your teacher what to do next