Plotting points in the first quadrant

Mathematics · Geometry · ages 10-11

Name ______________________ Date ____________

Sam plots a point by moving 6 spaces right and 2 spaces up from zero. What is the x-coordinate of Sam's point?
Answer: ______________
Mia wants to plot the point (4, 7) on her grid. What should she do?
- Start at 0, move 4 spaces right, then 7 spaces up
- Start at 0, move 7 spaces right, then 4 spaces up
- Start at 0, move 4 spaces up, then 7 spaces right
- Start at 0, move 4 spaces right, then 4 spaces up
To plot the point (5, 2), which direction do you move first from the origin?
- Right 5, then up 2
- Up 5, then right 2
- Right 2, then up 5
In the point (4, 7), the number 7 tells you how far to move up.
Circle one: True False
Lena walks her dog. After 1 hour she has walked 2 km, after 2 hours she has walked 4 km, and after 3 hours she has walked 6 km. She plots hours on the x-axis and kilometers on the y-axis. Which point shows her walk after 3 hours?
- (3, 6)
- (6, 3)
- (3, 3)
- (2, 4)
A plotted point on a treasure map is at (7, 2). What does the 2 tell you?
- How far up from the starting corner the treasure is
- How far right from the starting corner the treasure is
- How many total steps to reach the treasure
A point is plotted 5 spaces to the right of zero and 1 space up. Which ordered pair names this point?
- (5, 1)
- (1, 5)
- (5, 0)
- (0, 5)
True or false: To plot the point (5, 0), you move 5 spaces right from zero and stop right on the x-axis.
Circle one: True False
Diego wants to plot the point (6, 1). He mixes up the numbers, moving right 1 space, then up 6 spaces. What point did he actually plot?
- (6, 1), the same point he wanted
- (1, 6), a different point
- (0, 0), no movement at all
A point sits exactly on the y-axis, 6 spaces up from zero. What is its ordered pair?
- (0, 6)
- (6, 0)
- (6, 6)
- (0, 0)

Answer key

For grown-ups. Fold this page away before handing over the rest.

Plotting points in the first quadrant W1-mt_snlqRCiA1R-s1

6 · The x-coordinate is the first number of the ordered pair. It counts the spaces you move to the right, which here is 6.
Start at 0, move 4 spaces right, then 7 spaces up · In an ordered pair, the first number tells you how far to go across and the second number tells you how far to go up. So (4, 7) means 4 right and 7 up.
Right 5, then up 2 · The first number in an ordered pair always tells you how far to move right. The second tells you how far up.
True · The second number in an ordered pair is always the up-and-down, or y, value.
(3, 6) · Hours go on the x-axis and kilometers go on the y-axis, so 3 hours and 6 km becomes the point (3, 6).
How far up from the starting corner the treasure is · The second number in a coordinate pair always tells you the up, or y, distance from the origin.
(5, 1) · Reading a plotted point means counting across first, then up. Five spaces right and 1 space up gives the ordered pair (5, 1).
True · The y number is 0, so you do not move up at all. Moving 5 right and 0 up lands on the x-axis.
(1, 6), a different point · He swapped the right and up amounts, so he landed on (1, 6) instead of (6, 1).
(0, 6) · A point on the y-axis has not moved left or right at all, so its x value is 0. It is 6 spaces up, so its y value is 6.