Drawing Polygons and Calculating the Lengths of Their Sides in Real World Situations...

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Transcript of Drawing Polygons and Calculating the Lengths of Their Sides in Real World Situations...

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