Practice Set · Part 1
Represent Rational Numbers on the Coordinate Plane
Pick up where we left off
Where we left off
Our goal: I can plot and identify points on the coordinate plane using ordered pairs, explain what each part stands for, and build one for a situation I have not seen before.
The big idea: The sign of each coordinate gives the direction and the number gives the distance, and x always comes before y.
Model to copy — Example · Negative and decimal coordinates
- Plot the point (−2.5, 1.5). Is it the same point as (1.5, −2.5)?
- Start at the origin: (0, 0)
- Read x. Move left 2.5 units: x = −2.5 → left 2.5
- Read y. Move up 1.5 units: y = 1.5 → up 1.5
- Plot (1.5, −2.5) the same way: right 1.5 → down 2.5
- (−2.5, 1.5) is 2.5 units left and 1.5 units up. It is not the same point as (1.5, −2.5).
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.
Try it together — then prove it: Plot the point (2, 1) on the coordinate plane. Start at the origin. How far right do we move? (2 units) How far up do we move? (1 unit) Why is (2, 1) not the same point as (1, 2)? (x always comes first. (1, 2) is 1 right and 2 up, a different spot.)Show your work - 2
Warm restartWhich symbol makes this true? −6 ___ −2
- A>
- B=
- C≥
- D<
How do you know?
- 3
Warm restartOrder from least to greatest: −4, 3, −7, 0
- A3, 0, −4, −7
- B−4, −7, 0, 3
- C−7, −4, 0, 3
- D−7, −4, 3, 0
How do you know?
- 4
Warm restartOn a number line, a number to the LEFT of another number is always…
- Agreater than it
- Bequal to it
- Cfarther from zero
- Dless than it
How do you know?
Practice Set · Part 2
Represent Rational Numbers on the Coordinate Plane
Keep going
You answered these out loud. Now write them.
Answer, then say how you know — the reason is the part that counts.
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Think it throughIn the ordered pair (3, 6), what does the 3 tell the drone?
- AMove 3 units horizontally, along the x-axis
- BMove 3 units vertically
- CFly for 3 minutes
- DLand at altitude 3
Why is that the answer?
- 6
Think it throughWhat shape does the flight path make?
- AA square
- BA straight line
- CA triangle
- DA circle
How do you know? Give a second reason as well.
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Think it throughWhich point is farthest to the right?
- A(3, 6)
- B(0, 0)
- C(8, 2)
- DThey are all the same
Explain your thinking. What would have to change for a different choice to be right?
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Back to the modelYou plotted a triangle. How did the ordered pairs tell you exactly where to place each point?
Practice Set · Part 3
Represent Rational Numbers on the Coordinate Plane
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- The grid made by a horizontal and a vertical number line is the ___.
- Two numbers (x, y) that tell the location of a point are an ___.
- The point (0, 0) where the x-axis and y-axis cross is the ___.
- One of the four regions of the coordinate plane is a ___.
Explain the thinking
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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 Graph on the Coordinate Plane is swapping the order of the coordinates — moving up/down first instead of right/left first. - 10
Say moreYou need to plot (4, 2). Walk your partner through every move you make from the origin, using the words x-axis and y-axis.
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Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: Three points are plotted on this coordinate grid. Only one of them sits to the right of and above the origin O, where the two number lines cross — the other two are on the far side of one of those lines.
Show your work
Practice Set · Part 4
Represent Rational Numbers on the Coordinate Plane
Show what you know
Last check
These two come from Lesson 7.4. If they are shaky, that is the lesson to revisit — not this one.
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Show what you knowExplain your thinking — Point P is located 6 units right and 3 units up from the origin. What ordered pair names point P?
- A(0, 3)
- B(3, 6)
- C(6, 3)
- D(6, 0)
Explain your choice.
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From Lesson 7.4Explain your thinking — Which list shows the integers in order from LEAST to GREATEST?
- A-5, -2, 0, 3, 7
- B-2, -5, 0, 3, 7
- C0, -2, -5, 3, 7
- D7, 3, 0, -2, -5
How do you know?
- 14
From Lesson 7.4Order the temperatures from coldest to warmest.
- A−1, −4, −7, 2, 5
- B2, 5, −1, −4, −7
- C5, 2, −1, −4, −7
- D−7, −4, −1, 2, 5
How do you know?
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got it |
|---|---|---|---|
| I can plot and identify points on the coordinate plane using ordered pairs, explain what each part stands for, and build one for a situation I have not seen before. | |||
| I can explain why it works: The sign of each coordinate gives the direction and the number gives the distance… | |||
| I can justify my answer to a skeptic and connect it to a second strategy or representation. |
One question I want to ask my group next time