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Drawing Polygons in the Coordinate Plane




 


Videos to help Grade 6 students draw polygons in the coordinate plane and find the area enclosed by a polygon by composing or decomposing using polygons with known area formulas


New York State Common Core Math Module 5, Grade 6, Lesson 8

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Lesson Plans and Worksheets for Grade 6

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 6

Common Core For Grade 6

Lesson 8 Student Outcomes



• Given coordinates for the vertices, students draw polygons in the coordinate plane. Students find the area enclosed by a polygon by composing or decomposing using polygons with known area formulas.
• Students name coordinates that define a polygon with specific properties.

Lesson 8 Classwork

Examples 1–4

1. Plot and connect the points A(3, 2), B(3, 7), and C(8, 2). Name the shape and determine the area of the polygon.

2. Plot and connect the points E(-8, 8), F(-2, 5), and G(-7, 2). Then give the best name for the polygon and determine the area.

3. Plot the following points: K(-10, -9), L(-8, -2), M(-3, -6), and N(-7, -6). Give the best name for the polygon and determine the area.

4. Plot the following points: P(1, -4), Q(5, -2), R(9, -4), S(7, -8), and T(3, -8). Give the best name for the polygon and determine the area.

5. Two of the coordinates of a rectangle are A(3, 7) and B(3, 2). The rectangle has an area of 30 square units. Give the possible locations of the other two vertices by identifying their coordinates. (Use the coordinate plane to draw out and check your answer.)

Exercises

For Problems 1 and 2, plot the points, name the shape, and determine the area of the shape. Then write an expression that could be used to determine the area of the figure. Explain how each part of the expression corresponds to the situation.

3. A rectangle with vertices located at (-3, 4) and (5, 4) has an area of 32 square units. Determine the location of the other two vertices.

4. Challenge: A triangle with vertices located at (-2, -3) and (3, -3) has an area of square units. Determine one possible location of the other vertex.






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