Exploring Coordinate Grids in Unit 3

This video tutorial by Mr. Greenfield introduces sixth-grade students to coordinate grids, covering basic terms, labeling axes and quadrants, plotting ordered pairs, analyzing quadrants, reflecting points, and calculating distances. The lesson includes practical exercises and emphasizes understanding the characteristics of points in different quadrants and the rules for reflecting points over axes.

What is the correct representation of an ordered pair in a coordinate grid?

• {x, y}

• [x, y]

• (x, y)

Which quadrant contains points where both x and y coordinates are positive?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

If a point is located at (0, -5), on which axis does this point lie?

• Y-axis

• Origin

• None of the above

• X-axis

What are the characteristics of coordinates in Quadrant III?

• Both coordinates are positive

• Both coordinates are negative

• X is negative and Y is positive

• X is positive and Y is negative

What does an ordered pair with a zero in the y-coordinate signify about its location?

• It is at the origin

• It is on the X-axis

• It is in one of the quadrants

• It is on the Y-axis

Which quadrant would the point (-3, 1) be located in?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

After reflecting the point (3, 4) over the x-axis, what are the new coordinates?

• (-3, -4)

• (3, -4)

• (-3, 4)

• (3, 4)

What is the result of a double reflection over the x-axis and then the y-axis for the point (3, -4)?

• (-3, -4)

• (3, -4)

• (-3, 4)

• (3, 4)

If a point is reflected over the y-axis and then the x-axis, what changes occur to its coordinates?

• Only the x-coordinate changes sign

• Both coordinates change sign

• Only the y-coordinate changes sign

• No change occurs

How do you calculate the distance between points on the same side of an axis?

• Add their absolute values

• Subtract their absolute values

• None of the above

• Multiply their coordinates