Unit 7, Lesson 15
Shapes in the Coordinate Plane
Grade 6
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In this Warm-up, students review properties of figures and polygons within the context of graphing points in the coordinate plane. This will be useful when students create polygons in the coordinate plane in following activities.
Arrange students in groups of 2. Give students 2 minutes of quiet work time. Then tell students to check with their partner that their figures have at least three of the listed properties. Follow with a whole-class discussion.
Draw a figure in the coordinate plane with at least three of the following properties:
The goal of this discussion is to review the characteristics of a polygon. Invite students to share their figure and its properties. Display these figures for all to see. After each student shares, ask the class if it is a polygon and how they know.
If necessary, remind students of these defining characteristics of a polygon:
MLR5: Co-Craft Questions
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In this activity students practice plotting coordinates in all four quadrants and find horizontal and vertical distances between coordinates in a puzzle. Students must determine from the information given that each grid square has length 2.
Arrange students in groups of 2. Tell students that they should not assume that each grid box is 1 unit. Give students 8 minutes of quiet work time and 2 minutes for a partner discussion. Follow with a whole-class discussion.
The diagram shows Andre’s route through a maze. He started from the lower right entrance.
The purpose of this discussion is for students to see that it is possible to find distances and describe situations involving movement using the coordinate plane. This idea is important because it means we can use numbers (in this case, pairs of numbers in the coordinate plane) to model situations that involve distance or movement, which will be useful in later lessons. To highlight these ideas, consider asking:
Students may come up with examples like board games, maps, and perhaps even three-dimensional examples.
Coordinates can be used to find the lengths of segments in the coordinate plane.
Coordinate plane, origin O, axes labeled by ones. Segments connecting, in order, (negative 2 comma 2), (4 comma 2), (4 comma negative 1), (1 comma negative 1), (1 comma negative 4), (negative 2 comma negative 4), (negative 2 comma 2).
For example, we can find the perimeter of this polygon by finding the sum of its side lengths. Starting from
In general:
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Arrange students in groups of 2. Give students 10 minutes of quiet work time, and follow with a whole-class discussion.
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: