Geometry Right Triangles

Geometry Right Triangles
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35.29 MB   |   60 pages

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Geometry Right Triangles - 18 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key

The student will be able to:
Define and identify right triangles, scalene right, and isosceles right triangles.
Make conjectures while investigating right triangles.
Recognize and use theorems about right triangles:
Pythagorean Theorem
Special right triangles
Geometric mean
Write the inverse/converse/contrapositive of a conditional statement about right triangles and determine its validity.
Identify the inverse/converse/contrapositive of a conditional statement about right triangles from a given set of statements.
Write a biconditional statement about right triangles and determine its validity.
Derive/verify the Pythagorean Theorem using a variety of methods.
Distance formula
Area of squares
Patty paper
Geometer’s Sketchpad or Geogebra
Write a proof of the Pythagorean Theorem.
Solve problems involving the use of the Pythagorean Theorem.
Develop/verify the sine, cosine, and tangent ratios for right triangles in a variety of ways.
Measure sides of similar triangles and angles.
Use coordinate plane.
Geometer’s Sketchpad or Geogebra
Use sine, cosine, and tangent ratios to find lengths of missing sides and/or measures of missing angles in right triangles, estimating when necessary.
Use sine, cosine, and tangent ratios to solve real-life application problems.
Angles of elevation and depression
Engineering/surveying
Construction
Identify the patterns found in the side lengths of special right triangles.
Use special right triangle relationships to find missing sides of 30-60-90 and 45-45-90 triangles, approximating values when necessary.
Estimate the value of radicals
Simplify basic radical expressions
Optional: Rationalize denominators
Use the Pythagorean Theorem to find the missing sides of a right triangle.
Use the Pythagorean Theorem to classify a triangle as acute, right, or obtuse.
Determine whether or not a triangle is a right triangle when given the side lengths.
Use the Pythagorean Theorem to solve real-life problems involving right triangles.
Convert measurements to a consistent unit of measure both within the same measurement system and between measurement systems.
Total Pages
60
Answer Key
Included
Teaching Duration
2 Weeks

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Geometry Right Triangles