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Unit Details

​​​​​​​​​​​​​​​​​​​​​​​​Instructions: Rockwood unit details share the timeline, the enduring understanding and the essential questions for each unit.  Click on the standard title to be directed to the information on related standards for the unit.​

 Unit Details

Unit Title
Right Triangles and Trigonometry
Unit Number
GEOM09
Course
Geometry
Content Area
Math
Description
Students will discover the numerical relationship between arcs and angles of a circle and to provide ways of calculating segments related to circles.
Timeline
3 Week(s)
Enduring Understandings
Segments on a circle form special relationships between angle and arc measures.
Segments on a circle form special relationships between segment lengths.
Angle relationships are formed when constructed quadrilaterals inside a circle.

Essential Questions
What are the relationships between angles and arcs of a circle?
What are the relationships between segment lengths of a circle?
How can the relationships between angles and arcs and segment lengths of a circle be used to find unknown angles, arcs, and segment lengths?
What can be proven about angles of quadrilaterals inscribed in a circle?


Additional Unit Resources

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Standard
Standard Component
  
Explain and use the relationship between the sine and cosine of complementary angles.
  
Derive the formula A = ½  ab sin(C) for the area of a triangle.
  
  
Standard
Standard Component
  
Use geometric shapes, their measures and their properties to describe objects.
ECO
  
Apply geometric methods to solve design mathematical modeling problems.
  
Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
  
Understand that side ratios in right triangles define the trigonometric ratios for acute angles.
ECO
  
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles.