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6-8 Grade 6 Unit 7 Lesson 15

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Lesson 15

15.1 Warm-up 15.2 Activity 15.3 Activity Student Lesson Summary

Unit 7, Lesson 15

Shapes in the Coordinate Plane

Grade 6

15.1

Warm-up

Figuring Out the Coordinate Plane

Draw a figure in the coordinate plane with at least three of the following properties:

6 vertices
Exactly 1 pair of parallel sides
At least 1 right angle
2 sides with the same length

A coordinate plane with the origin labeled “O”. The numbers 0 through 18 are indicated on the horizontal axis and the numbers 0 through 14 are indicated on the vertical axis.

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15.2

Activity

Plotting Polygons

Here are the coordinates for four polygons. Plot them on the coordinate plane, connect the points in the order that they are listed, and label each polygon with its letter name.

Polygon A:
Polygon B:
Polygon C:
Polygon D:

Blank coordinate plane, origin O, horizontal axis negative 10 to 10 by twos, vertical axis negative 8 to 8 by twos.

15.3

Activity

Four Quadrants of “a-MAZE-ing”

The diagram shows Andre’s route through a maze. He started from the lower right entrance.

A maze on a coordinate plane. Please ask for additional help.

What are the coordinates of the first two and the last two points of his route?
How far did he walk from his starting point to his ending point? Explain or show your reasoning.

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Student Lesson Summary

Coordinates can be used to find the lengths of segments in the coordinate plane.

Coordinate plane, origin O, axes labeled by ones.

For example, we can find the perimeter of this polygon by finding the sum of its side lengths. Starting from and moving clockwise, we can see that the lengths of the segments are 6, 3, 3, 3, 3, and 6 units. The perimeter is therefore 24 units.

In general:

If two points have the same -coordinate, they will be on the same vertical line, and we can find the distance between them.
If two points have the same -coordinate, they will be on the same horizontal line, and we can find the distance between them.

Glossary

None

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