Section A: Practice Problems The Coordinate Plane

Section Summary

Details

In this section, we plotted and described points on the coordinate grid.

Coordinate grid. horizontal and vertical axis, 0 to 10 by ones. 2 points plotted. Labeled Q and P.

The point $P$ is 4 units from the vertical axis and 2 units from the horizontal axis. Its coordinates are $(4, 2)$ . The point $Q$ is 0 units from the vertical axis since it is on the vertical axis. It is 7 units from the horizontal axis. Its coordinates are $(0, 7)$ .

The first coordinate of a point tells us its horizontal position and the second coordinate gives its vertical position.

Problem 1 (Pre-Unit)

4 shapes on grid. All have 2 sets of parallel sides. B and C each have 4 right angles. B, 3 by 5. C, 3 by 3. Diagonals of A, 2 and 4. D, base, 5, height, 3.

Which shapes are rectangles?
Which shapes are rhombuses?
Which shapes are squares?

Problem 2 (Pre-Unit)

lines M and N. Intersected by lines L and K.

Name two lines in the drawing that are parallel.
Name two lines in the drawing that are perpendicular.

Problem 3 (Pre-Unit)

Draw a rectangle on the grid.
What is the perimeter of the rectangle?

Problem 4 (Pre-Unit)

Which of the triangles are right triangles?

four triangles labeled A, B, C, D on a grid

Problem 5 (Lesson 1)

Coordinate plane. Rectangle R, 0 comma 2, 0 comma 5, 7 comma 2, 7 comma 5. Point, P, 8 comma 9.

How would you describe the point labeled $P$ ?
How would you describe the rectangle R?

Problem 6 (Lesson 2)

What are the coordinates of the point on the grid?

Locate and label point $A$ with coordinates $(7, 1)$ , point $B$ with coordinates $(2, 8)$ , and point $C$ with coordinates $(6, 6)$ .

Coordinate grid. horizontal and vertical axis, 0 to 10, by 1's. Point graphed at 9 comma 3.

Problem 7 (Lesson 3)

Fill in the blanks with 4 different numbers between 0 and 10 and plot the points on the graph.
$($ $, 0)$ $($ $, 0)$
$($ $, 0)$ $($ $, 0)$
What do you notice about the points?

Locate the points $(1, 1)$ , $(2, 2)$ , $(3, 3)$ , and $(4, 4)$ on the graph.
What do you notice about the points?

Coordinate grid. horizontal and vertical axis, 0 to 10, by 1's.

Problem 8 (Exploration)

One of the Open Up Resources Math characters describes their first initial like this: “Start at $(2, 4)$ and go to $(2, 8)$ , then go to $(3, 6)$ , then to $(4, 8)$ , and to $(4, 4)$ .” Which character is it?
Describe, using coordinates, how to trace a letter from your name.

Problem 9 (Exploration)

Work with a partner.

Student 1:

Draw a rectangle on the coordinate plane. Make sure the area of your rectangle is at least 20 square units. Don’t show your partner your rectangle.

Student 2:

Your goal is to figure out which rectangle your partner drew. You name points in the coordinate plane and your partner will tell you whether the point is on their rectangle.