Unit 6: Triangles

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Essential Questions: 
  • How do we know that a set of lengths forms an acute, obtuse, right, or nonexistent triangle?
  •  What are special types of right triangles and their properties?
  • What is trigonometry and how can we use it to solve problems?
  • How do we know when two triangles are similar, and how can we use similarity to solve for missing information?
Content: 
  • The distance formula
  • The Pythagorean Theorem and its converse
  • 30-60-90 and 45-45-90 triangles
  • Sine, cosine, and tangent
  • Ratios and proportions
  • Similarity
Skills and Processes: 
  • Using the Pythagorean Theorem and its converse
  • Determining whether a triangle exists, and if so, what type it is, by its side lengths
  • Using the special properties of 30-60-90 and 45-45-90 triangles to solve problems
  • Discovering interior and exterior angle properties of triangles.
  • Using sine, cosine, and tangent to solve right triangle problems.
  • Using the SSS, SAS, and AA similarity conjectures to solve triangle problems.