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
Use the model to solve the first problem. Then try these quick review questions from earlier lessons.
- 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
Quick reviewWhich symbol makes this true? −6 ___ −2
- A>
- B=
- C≥
- D<
How do you know?
- 3
Quick reviewOrder 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
Quick reviewOn 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
Try these on your own
Choose an answer. Then explain how you know.
- 5
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.
- 7
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?
- 8
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
- 9
Find the mistakeRead the mistake. Explain what went wrong, then show the correct step.
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.
- 11
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.
- 12
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.
- 13
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?
Check your progress
Choose the box that best describes how you feel about each skill.
| 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