Coordinate Basics
What do we call the two numbers in an ordered pair?
x-coordinate and y-coordinate
Plot (3, 2). How far do you go right and how far up?
3 right, 2 up
What pattern do you see in the y-values of these points: (1, 2), (2, 4), (3, 6)?
Multiply x by 2
Name a shape with four sides and four right angles.
Rectangle or square
If a map grid has your school at (2, 3), what does the 2 tell you?
It’s 2 units east/right
What point is at the intersection of the x- and y-axis?
The origin, (0, 0)
What point is 2 units right and 4 units up?
(2, 4)
Continue the pattern: (1, 3), (2, 6), (3, 9), ___?
(4, 12)
If you connect (1, 1), (1, 4), (4, 4), and (4, 1), what shape do you make?
Square
A treasure map uses a grid. If the treasure is at (4, 5), how many total steps from (0, 0)?
9 steps—4 right, 5 up
What is the name of the two lines that form the coordinate plane?
x-axis and y-axis
If a point is at (x, 0), where is it located?
On the x-axis
A rule says y = x + 2. What are the first three points that follow this rule?
(0, 2), (1, 3), (2, 4)
What is the perimeter of a rectangle with corners at (1,1), (1,4), (5,4), and (5,1)?
2 × (4 + 3) = 14 units
A zoo uses a grid map. If the lion is at (6, 2) and the giraffe is at (6, 6), how far apart are they?
4 units
Explain why (4, 5) is not the same as (5, 4).
The order of coordinates matters—(4, 5) is 4 units right and 5 units up, (5, 4) is 5 units right and 4 units up.
A point lies directly above (3, 2) and is 3 units higher. What is its coordinate?
(3, 5)
Describe the relationship in the pattern: (1, 10), (2, 20), (3, 30).
y = 10x
A polygon has vertices at (0, 0), (0, 3), (2, 3), and (2, 0). Find its area.
2 × 3 = 6 square units
You're tracking a delivery. It moves from (3, 4) to (7, 4). How far did it travel?
4 units
In which quadrant do we plot points when both x and y are positive?
First quadrant
Plot (5, 1), then reflect it across the x-axis. What’s the new point?
(5, -1), but since we’re in first quadrant only, trick question! No negative y-values allowed.
A graph shows points following y = 3x + 1. What is the y-value when x = 5?
16
What kind of triangle has all sides the same length?
Equilateral
A drone starts at (1, 2), flies 3 units north, 2 units east, then 4 units south. Where is it?
(3, 1)