Start here

Use the model to solve the first problem. Then try these quick review questions from earlier lessons.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step. 🔊 Listen 💡 Hint

   Let's do one together:

   1. Plot the point (−5, 2). Name the quadrant it is in.
   2. The x is −5. Which way do we move, and how far? (Left 5 units.)
   3. The y is 2. Which way do we move, and how far? (Up 2 units.)
   4. Left and up puts the point in which quadrant? (Quadrant II)

   My first step is ___ , because the problem asks for ___ .

   Show your work
2. 2

   Quick reviewA rectangle has vertices (1, 1), (7, 1), (7, 4) and (1, 4). How long is the bottom side? 🔊 Listen 💡 Hint

   1. A3 units
   2. B4 units
   3. C6 units
   4. D8 units
3. 3

   Quick reviewUsing that same rectangle — (1, 1), (7, 1), (7, 4), (1, 4) — what is its area? 🔊 Listen 💡 Hint

   1. A9 square units
   2. B18 square units
   3. C18 units
   4. D24 square units
4. 4

   Quick reviewA square has vertices (−2, −2), (2, −2), (2, 2) and (−2, 2). What is its perimeter? 🔊 Listen 💡 Hint

   1. A4 units
   2. B8 units
   3. C16 units
   4. D16 square units

Try these on your own

Choose an answer. Then explain how you know.

1. 5

   Think it throughWhich quadrant is the library (−3, 4) in? 🔊 Listen 💡 Hint

   1. AQuadrant I
   2. BQuadrant III
   3. CQuadrant II
   4. DQuadrant IV

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhich quadrant is the park (5, −2) in? 🔊 Listen 💡 Hint

   1. AQuadrant I
   2. BQuadrant IV
   3. CQuadrant II
   4. DQuadrant III

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughWhich location is in Quadrant III? 🔊 Listen 💡 Hint

   1. ACity Hall (0, 0)
   2. BThe school (2, 3)
   3. CThe library (−3, 4)
   4. DThe hospital (−4, −1)

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelHow do the signs of the x- and y-coordinates tell you which quadrant a point is in? 🔊 Listen 💡 Hint

   In Quadrant ___, the x-coordinate is ___ and the y-coordinate is ___. I know (-3, -4) is in Quadrant ___ because both coordinates are ___.

Use the words

Fill each blank with a word from the bank.

• One of the four regions of the coordinate plane, numbered I to IV, is a ___.
• A coordinate less than zero, which places a point left of or below the origin, is a ___.
• A flip of a point over an axis is a ___.
• One of the two number lines, the x-axis or y-axis, that form the grid is an ___.

Explain the thinking

1. 9

   Find the mistakeRead the mistake. Explain what went wrong, then show the correct step. 🔊 Listen 💡 Hint

   The mistake: A common mistake in Ordered Pairs in All Four Quadrants is matching each sign to the wrong axis — for example, seeing (-2, 5) and thinking "the x is negative so I move DOWN, and the y is positive so I move RIGHT," which lands the point in Quadrant IV.
2. 10

   Say morePlot (-3, -4). Which quadrant is it in, and how do the negative coordinates change the directions you move from the origin? 🔊 Listen 💡 Hint

   A negative x means I move ___.
3. 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. 🔊 Listen 💡 Hint

   If ___ changed to ___ , then ___ .

   Show your work

Last check

These two come from Lesson 7.7. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: A point has a negative x-coordinate and a negative y-coordinate. Which quadrant is it in? 🔊 Listen 💡 Hint

   1. AQuadrant III
   2. BQuadrant I
   3. CQuadrant II
   4. DQuadrant IV

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 7.7Quick check — you've got this: A rectangle has vertices (-1, 4), (5, 4), (5, 1), (-1, 1). What is its perimeter? 🔊 Listen 💡 Hint

   1. A6 units
   2. B9 units
   3. C18 units
   4. D18 square units
3. 14

   From Lesson 7.7The park's length is 800 feet, and each grid unit represents 100 feet. How many units below the known vertices do the new corners sit? 🔊 Listen 💡 Hint

   1. A0.8 units
   2. B8 units
   3. C80 units
   4. D800 units

Check your progress

Choose the box that best describes how you feel about each skill.