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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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 14

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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