MA19.7.18

Mathematics (2019) Grade(s): 7

MA19.7.18
Construct geometric shapes (freehand, using a ruler and a protractor, and using technology), given a written description or measurement constraints with an emphasis on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Unpacked Content

Knowledge

Students know:

if three side lengths will create a unique triangle or no triangle.

Skills

Students are able to:

freehand, draw geometric shapes with given conditions.
Using a ruler and protractor, draw geometric shapes with given conditions.
Using technology, draw geometric shapes with given conditions.
Construct triangles from three measures of angles or sides.
Identify the conditions that determine a unique triangle, more than one triangle, or no triangle.

Understanding

Students understand that:

from their experiences with constructions, what conditions are necessary to construct a triangle.
only certain combinations of angle and side measures will create triangles.
Constructing a triangle requires a specific relationship between the legs of the triangle and a specific sum between the angles of the triangle.

Vocabulary

Construct
protractor
Angle measures
Constraints
Acute triangle right triangle
obtuse triangle
isosceles triangle
Scalene triangle
Equilateral triangle

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