Practice Set · Part 1
Compare and Order Integers and Rational Numbers
Pick up where we left off
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 to the left is always less; the number farther to the right is always greater.
Model to copy — Watch me
- I will compare -7 and -5. They are both negative, so I look at the number line.
- -7 is 7 steps left of zero. -5 is only 5 steps left of zero.
- -7 is farther to the left, so -7 is the smaller number.
- I write -7 < -5. The open side of the symbol points to the bigger number, -5.
Start here
You did these with your group. Now do them on your own — the model above is yours to copy.
- 1
Same stepsFinish what the group started. Use the model above, step for step.
Let's try together: 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.My first step is ___ , because the problem asks for ___ .
Show your work - 2
Warm restartWhat is the absolute value of -9?
- A-9
- B9
- C0
- D1
- 3
Warm restartWhich integer has the GREATEST absolute value: -3, 7, -5, 2?
- A-5
- B-3
- C2
- D7
- 4
Warm restartWhat is |0|?
- A1
- B-1
- C0
- DThere is no answer
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.
- 5
Think it throughWhich day was coldest?
- AWednesday at −7°F
- BMonday at −4°F
- CThursday at −1°F
- DTuesday at 2°F
Why is that the answer?
I chose ___ because ___ .
- 6
Think it throughWhich is colder, −4°F or −1°F?
- A−4°F, because it is farther left on the number line
- B−1°F, because 1 is smaller than 4
- CThey are the same
- D−1°F, because it is closer to zero
How do you know?
I chose ___ because ___ .
- 7
Think it throughOrder the temperatures from coldest to warmest.
- A−7, −4, −1, 2, 5
- B−1, −4, −7, 2, 5
- C2, 5, −1, −4, −7
- D5, 2, −1, −4, −7
Explain your thinking.
I chose ___ because ___ .
- 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 ___.
Practice Set · Part 3
Compare and Order Integers and Rational Numbers
Words and reasoning
Word bank · Banco de palabras
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
- 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. - 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 ___.
- 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
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.
- 12
Show what you knowQuick check — you've got this: Which list shows the integers in order from LEAST to GREATEST?
- A-2, -5, 0, 3, 7
- B7, 3, 0, -2, -5
- C-5, -2, 0, 3, 7
- D0, -2, -5, 3, 7
Explain your choice.
I know it is ___ because ___ .
- 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?
- A8
- B-8
- C0
- D-80
- 14
From Lesson 7.3Which craft is at the LOWER position?
- AThe submarine, because −150 < 200
- BThe helicopter, because 200 > 150
- CThey are equal
- DThe submarine, because 150 < 200
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got 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 to the left is always less; the number farther to the right is always greater. | |||
| 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