Drawing Polygons and Calculating the Lengths of Their Sides in Real World Situations CCSS.Math.Content.6.G.A.3CCSS.Math.Content.6.G.A.3 Draw polygons in.

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Presentation transcript:

Drawing Polygons and Calculating the Lengths of Their Sides in Real World Situations CCSS.Math.Content.6.G.A.3CCSS.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 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 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 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 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. Answer: 24 ft Answer: 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 yard Use the coordinate plane to find the lengths of the unknown sides and its perimeter. Answer: 164 yd 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 foot Use the coordinate plane to find the lengths of the unknown sides and its perimeter. Answer: 162 ft 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 foot Use the coordinate plane to find the lengths of the unknown sides and its perimeter. Answer: 92 ft 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 foot Use the coordinate plane to find the lengths of the unknown sides and its perimeter. Answer: 316 ft 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 inch Use the coordinate plane to find the lengths of the unknown sides and its perimeter. Answer: 258 in Answer: 258 in