Coordinate Plane Quiz Review (6th grade)

Vocabulary:

100

List ALL the components of a properly labeled coordinate plane.

X-axis, Y-axis, Quadrants I,II,III and IV, (+) and (-) indicators for each axis, units.

200

What is the "Origin"?

The "starting" point. (0, 0)

300

Match the following words and describe (horizontal, vertical, Y-axis, X-axis).

X-axis is HORizontal (HORSE Runs across the flat HORizon); Y-axis is vertical (up and down).

400

Define and describe what a "Reflection" is on the coordinate plane.

It's the location you would see in a mirror if you placed a mirror on that axis. The axis creates a line of symmetry. A reflected ordered pair is equi-distance from the axis as the original ordered pair.

500

Describe the similarities and differences between a Number Line and a Coordinate Plane.

The coordinate plane (CP) is two number lines crossing perpendicular at their zero midpoints, which creates the "origin". The coordinate plane (looks like graph paper) is used to locate a specific location using two coordinates. A number line only has one coordinate. The CP has units (scaling) like a number line. They both use "absolute value" to determine distance (length)

Concepts:

100

All of the following shapes are symmetrical, True or False? a) Circle b) Isosceles triangle c) Rectangle d) Oval

Yes, if "line of symmetry" is drawn properly.

200

Given you have a 20 x 20 grid, what are the appropriate scales for the X-axis and Y-axis for the ordered pairs (3, 40), (-8, 90), (-7, -22), (9.5, -85), and (0, 0)?

X-axis units = 1 for a range from -10 to 10 Y-axis units = 10 for a range from -100 to 100

300

Does reflecting ordered pairs (3, 6) and (3, -3) over the Y-axis provide a symmetrical shape? Over the X-axis?

Yes for Y-axis (rectangle) No for X-axis (line segment)

400

How do you determine the distance (length) between two order pairs having the same first coordinate?

Using "absolute" value (distance from zero) of the second coordinate. Add if on opposite sides of the X-axis. Find difference if on same side of the X-axis. You can also just count the units between.

500

Do the terms: "ordered pairs", "coordinates" and "x-coordinate, y-coordinate" mean the same thing? Explain.

Yes, they are synonymous.

Solve:

100

What is the opposite of the opposite of -9?

-9 The opposite of an opposite is just that term (they cancel).

200

What are the coordinates of the reflection of (-5, 8) over the X-axis? over the Y-axis?

(-5, -8) over the X-axis. (5, 8) over the Y-axis.

300

What is the location of the ordered pair when 5 is added to the Y-coordinate of (3, -3)?

(3, 2) Only the Y-value changes.

400

What is the distance (length) between (9, 8) and (9, -3)?

11.

500

Given you have a grid 10 units by 10 units, what scale for the X-axis and Y-axis units would you use for the following coordinates? (18, -40), (-12, 95), (0, -70), (16, -10), and (4, 10)?

X-axis would utilize units = 2 to provide range from -20 to 20 Y-axis would utilize units = 10 to provide range from -100 to 100