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Shapes on the Coordinate Plane: IM 6.7.15
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1. Lesson 6.7.15
- IM 6.7.15 Lesson: Shapes on the Coordinate Plane
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2. Practice 6.7.15
- IM 6.7.15 Practice: Shapes on the Coordinate Plane
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Shapes on the Coordinate Plane: IM 6.7.15
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 24, 2020

“Shapes on the Coordinate Plane” from IM Grade 6 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 6.7.15
- IM 6.7.15 Lesson: Shapes on the Coordinate Plane
- Practice 6.7.15
- IM 6.7.15 Practice: Shapes on the Coordinate Plane
IM 6.7.15 Lesson: Shapes on the Coordinate Plane
Draw a figure in the coordinate plane below with at least three of following properties:
- 6 vertices
- 1 pair of parallel sides
- At least 1 right angle
- 2 sides the same length
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Here are the coordinates for four polygons. Move the points, in order, to their locations on the coordinate plane
Polygon 1: (-7,4), (-8,5), (-8,6), (-7,7), (-5,7), (-5,5), (-7,4)


Polygon 2: (4,3), (3,3), (2,2), (2,1), (3,0), (4,0), (5,1), (5,2), (4,3)


Polygon 3: (-8,-5), (-8,-8), (-5,-8), (-5,-5), (-8,-5)


Polygon 4: (-5,1), (-3,3), (-1,-2), (0,3), (-3,3), (-5,1)


Find the area of Polygon 4 in this activity.
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The following diagram shows Andre’s route through a maze. He started from the lower right entrance.
What are the coordinates of the first two and the last two points of his route?
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How far did he walk from his starting point to his ending point?
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Jada went into the maze and stopped at (-7, 2). Plot that point and other points that would lead her out of the maze (through the exit on the upper left side).


How far from must she walk to exit the maze?
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IM 6.7.15 Practice: Shapes on the Coordinate Plane
The coordinates of a rectangle are , , and .
What is the length and width of this rectangle?
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What is the perimeter of the rectangle?
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What is the area of the rectangle?
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Draw a square with one vertex on the point (-3, 5) and a perimeter of 20 units. Write the coordinates of each other vertex.

Plot and connect the following points to form a polygon: (-3, 2), (2, 2), (-1, -4), (-1, -2), (-3, -2), (-3, 2)

Find the perimeter of the polygon.
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For each situation, select all the equations that represent it. Choose one equation and solve it.
Jada’s cat weighs 3.45 kg. Andre’s cat weighs 1.2 kg more than Jada’s cat.
How much does Andre’s cat weigh?
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Apples cost $1.60 per pound at the farmer’s market. They cost 1.5 times as much at the grocery store.
How much do the apples cost per pound at the grocery store?
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