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Cartesian Grid

Direction from Coordinates (Angle) (Level 3)

This math topic focuses on determining directions and angles on a Cartesian grid by analyzing the coordinate changes between two points. It involves calculating the directional moves (left, right, up, and down) from an initial point (A) to a final point (B) on the grid, based on their x and y coordinates. Students practice interpreting these coordinates to find the specific directional path between points, such as determining how many units to move left or right (changes in the x-coordinate) and how many units to move up or down (changes in the y-coordinate). Each problem presents multiple-choice options for possible paths.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Cartesian Grid - Direction from Coordinates (Angle) Worksheet

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Cartesian Grid - Direction from Coordinates (Angle)
1
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (0,1) \\ \text{Point B:} (-2,3)
a
Left 2, Down 2
b
Left 1, Up 2
c
Left 2, Up 2
d
Left 2, Up 1
e
Right 2, Up 2
f
Right 2, Down 2
2
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (1,4) \\ \text{Point B:} (-2,2)
a
Left 3, Up 2
b
Left 3, Down 1
c
Left 2, Down 3
d
Right 3, Down 2
e
Left 2, Down 2
f
Left 3, Down 2
3
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (4,-1) \\ \text{Point B:} (0,0)
a
Left 1, Down 4
b
Left 4
c
Left 3, Up 1
d
Left 4, Up 1
e
Right 1, Down 4
f
Left 4, Down 1
4
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (4,-3) \\ \text{Point B:} (3,-2)
a
Left 1
b
Right 1, Up 1
c
Left 2, Up 1
d
Left 1, Down 1
e
Left 1, Up 1
f
Left 1, Up 2
5
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (5,-1) \\ \text{Point B:} (2,2)
a
Left 3, Up 2
b
Left 3, Up 3
c
Right 3, Down 3
d
Left 4, Up 3
e
Right 3, Up 3
f
Left 3, Down 3
6
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (2,0) \\ \text{Point B:} (5,-2)
a
Left 3, Down 2
b
Right 2, Down 2
c
Right 2, Up 3
d
Right 3, Up 2
e
Right 3, Down 2
f
Right 3, Down 1
7
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (1,3) \\ \text{Point B:} (3,-2)
a
Right 2, Down 5
b
Right 2, Down 4
c
Left 2, Down 5
d
Right 3, Down 5
e
Right 2, Down 6
f
Left 5, Down 2
8
Find the direction that the given move between (x,y) coordinates A and B would be
A LaTex expression showing \text{Point A:} (3,2) \\ \text{Point B:} (1,-2)
a
Left 2, Up 4
b
Left 2, Down 5
c
Left 4, Up 2
d
Left 2, Down 4
e
Left 2, Down 3
f
Right 4, Down 2