Practice Set · Part 1
Represent Rational Numbers on the Coordinate Plane
Pick up where we left off
Where we left off
Our goal: With my small group, I can plot and identify points on the coordinate plane using ordered pairs — one step at a time, with support.
The big idea: Start at the origin, move across for the x-coordinate, then move up or down for the y-coordinate.
Model to copy — Example 1 · Plot an ordered pair
- Plot the point (5, 4) on the coordinate plane.
- Start at the origin: (0, 0)
- Read x. Move right 5 units: x = 5 → right 5
- Read y. Move up 4 units: y = 4 → up 4
- Draw a dot. Label it (5, 4): (5, 4)
- The point (5, 4) is 5 units right and 4 units up from the origin.
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 do one together: Plot the point (2, 1) on the coordinate plane. Where do we start? (At the origin, (0, 0).) How far do we move right? (2 units. The first number is 2.) How far do we move up? (1 unit. The second number is 1.)My first step is ___ , because the problem asks for ___ .
Show your work - 2
Warm restartWhich symbol makes this true? −6 ___ −2
- A>
- B=
- C≥
- D<
- 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
- 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
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.
- 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?
I chose ___ because ___ .
- 6
Think it throughWhat shape does the flight path make?
- AA square
- BA straight line
- CA triangle
- DA circle
How do you know?
I chose ___ because ___ .
- 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.
I chose ___ because ___ .
- 8
Back to the modelYou plotted a triangle. How did the ordered pairs tell you exactly where to place each point?
The first number in the ordered pair tells me ___ and the second number tells me ___. The point (5, 4) means ___.
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 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.
I move ___ units along the x-axis.
- 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
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 knowQuick check — you've got this: 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.
I know it is ___ because ___ .
- 13
From Lesson 7.4Quick check — you've got this: 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
- 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
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 — one step at a time, with support. | |||
| I can explain why it works: Start at the origin, move across for the x-coordinate, then move up or down for the y-coordinate. | |||
| 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