Post on 24-Dec-2015
Drawing Polygons and Calculating the Lengths of Their Sides in Real
World Situations
CCSS.Math.Content.6.G.A.3 Draw polygons in the coordinate plane given
coordinates for the vertices; use coordinates to find the length of a side
joining points with the same first coordinate or the same second
coordinate. Apply these techniques in the context of solving real-world and
mathematical problems.
Mrs. MacQueen would like to determine how many feet of fencing she needs to enclose her flower garden. The vertices of Mrs. MacQueen’s flower garden are: (-2, 6), (3, 6), (-2, -4), (3, -4).
1 unit = 1 foot of fencing
Task 1:Plot the vertices.
Task 2:Calculate the lengths of the garden’s sides to determine how much fencing she will need to surround it.
Answer:
30 ft
Mrs. Fosberg would like to determine how many yards of caution tape she needs to wrap around a trench. The vertices of Mrs. Fosberg’s trench are: (-5, 4), (-2, 4), (-5, -5), (-2, -5).
1 unit = 1 yard of caution tape
Task 1:Plot the vertices.
Task 2:Calculate the lengths of the trench’s sides to determine how much caution tape she will need to surround it.
Answer:
24 yd
Mr. Baldwin would like to determine how many yards he ran during a marathon.The vertices of Mr. Baldwin’s run are: (-2, -1), (4, -1), (4, -6), (-2, -6).
1 unit = 1 yard of the marathon route
Task 1:Plot the vertices.
Task 2:Calculate the lengths of the marathon route’s sides to determine how many yards Mr. Baldwin ran.
Answer:
26 yd
Ms. Gale has lined up her library books to make a rectangle.The vertices of Ms. Gale’s books are: (1, 5), (6, 5), (1, -4), (6, -4).
1 unit = 1 foot of library books
Task 1:Plot the vertices.
Task 2:Calculate the lengths of the books’ sides to determine how many feet of library books Ms. Gale lined up.
Answer:
28 ft
Ivan is installing bricks around his fireplace. Determine how many feet of bricks he will need.The vertices of Ivan’s fireplace are: (-5, 4), (-5, -3), (0, 4), (0, -3).
1 unit = 1 foot of bricks
Task 1:Plot the vertices.
Task 2:Calculate the lengths of the fireplace’s sides to determine how many feet of bricks Ivan will need. Answe
r:24 ft
Old MacDonald is building a fence around a pasture for his horses. Determine how many yards of fencing he will need.
The vertices of Old MacDoland’s fence are:
(-43, 27)(32, 27)(-43, 20)(32, 20)
1 unit = 1 yardUse the coordinate plane to find the lengths of the unknown sides and its perimeter.
Answer:
164 yd
Mrs. Erickson is setting up a dodge ball field for PE. Determine the perimeter of the field.The vertices of Mrs. Erickson’s dodge ball field are:
(50, 29)(13, 29)(50, -15)(13, -15)
1 unit = 1 footUse the coordinate plane to find the lengths of the unknown sides and its perimeter.
Answer:
162 ft
Haley and Nolan are playing Duck, Duck, Goose around a rectangular patch of grass.The vertices of the patch of grass are:
(-37, -18)(-4, -31)(-37, -31)(-4, -18)
1 unit = 1 footUse the coordinate plane to find the lengths of the unknown sides and its perimeter.
Answer:
92 ft
It’s Cardio Friday and the 6th graders are running their laps on the field. The vertices of their path are:
(-27, 32)(64, 32)
(-27, -35)(64, -35)
1 unit = 1 footUse the coordinate plane to find the lengths of the unknown sides and its perimeter.
Answer:
316 ft
Pearl just got a bath and is racing around the dining table.The vertices of her path are:
(-51, -14)(-51, -45)(47, -14)(47, -45)
1 unit = 1 inchUse the coordinate plane to find the lengths of the unknown sides and its perimeter.
Answer:
258 in