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
