• The students will be able to solve right triangles using similar right triangles and trigonometry.

• How do the properties of right triangles allow us to solve real-world situations?

• solve problems involving similar right triangles
• solve and use geometric means
• prove and use the Pythagorean Theorem
• use the Converse of Pythagorean Theorem to solve problems and use side lengths to classify triangles by their angle measures.
• find side lengths of special right triangles and use their properties in real-life.
• find the sine, cosine, and the tangent of an acute angle
• use angle of elevation and indirect measurement,
• solve a right triangles by the Pythagorean Theorem, by the 45°-45°-90° Triangle Theorem, and by the 30°-60°-90° Triangle Theorem

• Quizzes
• Tests
• Homework
• Verbal Response
• Bell Ringer
• Closure
• Guided Questioning
  

Activities:

• Creating similar right triangles and special right triangles by paper folding
• Mind Maps
• Opener/Closer
• Indirect Measurement Activity
• Application Problems

State Goals:

• State Goal 6: Demonstrate and apply knowledge and a sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.
• 6.D.3: Apply ratios and proportions to solve practical problems.
• 6.A.4: Identify and apply the associative, commutative, distributive and identity properties of real numbers, including special numbers such as pi and square roots.
• State Goal 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.
• 7.C.4a: make indirect measurements, including heights and distances, using proportions.
• State Goal 9: use geometric methods to analyze, categorize, and draw conclusions about points, lines, planes, and space.
• 9.D.3: Compute distances, lengths and measures of angles using proportions, the Pythagorean theorem and its converse.