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35 MB|60 pages

Product Description

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.

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 pages

Answer Key

Included

Teaching Duration

2 Weeks

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