HSG-SRT.B.4

Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

 
12 Lesson(s)
   

Re-Calling Pythagoras' Theorem

Geometry » Unit: Three Triangle Topics
Geometry » Unit: Three Triangle Topics
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

Students will persevere in challenging questions that require use of the Pythagorean Theorem.

 
Favorites (3)
 
Resources (19)
 
Reflections (2)
pythagoras
   

Prove It (Part 2)

Geometry » Unit: Similar and Right Triangles
Geometry » Unit: Similar and Right Triangles
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

Students work on proving hypotheses – and end up proving the Pythagorean Theorem.

 
Resources (12)
proveitpart2image
   

Proving Pythagoras' Theorem

Geometry » Unit: Sweet Similar Shapes
Geometry » Unit: Sweet Similar Shapes
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

Students will first explore similarity relationships between triangles and then will in a step by step checklist, prove the Pythagorean Theorem using similar triangles.

 
Resources (17)
 
Reflections (1)
pythagoras proving pyth them
   

Similar Triangles using Geometer's Sketchpad

Geometry » Unit: Similarity in Triangles
Geometry » Unit: Similarity in Triangles
Marisa Laks
New York, NY
Environment: Urban
 
Big Idea:

Students use Geometer's Sketchpad to investigate properties of similar triangles, which share a vertex and have parallel bases.

 
Favorites (1)
 
Resources (15)
similar triangles using geometer s sketchpad image resized
   

Review Day for Sweet Similar Shapes

Geometry » Unit: Sweet Similar Shapes
Geometry » Unit: Sweet Similar Shapes
Stephanie Conklin
Saratoga Springs, NY
Environment: Suburban
 
Big Idea:

Students will use the SMART Clickers to review key topics for this unit like, identifying similar shapes, and then complete a practice test.

 
Resources (14)
review day image
   
Geometry » Unit: Similarity
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

Altitude Adjustment? By strategically introducing the altitude to the hypotenuse of a right triangle, students will be able to prove the Pythagorean Theorem.

 
Resources (22)
 
Reflections (1)
pythagorean theorem similarity resized
   

Special Right Triangles

Geometry » Unit: Right Triangles and Trigonometry
Geometry » Unit: Right Triangles and Trigonometry
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

Word on the streets is there's a cat giving kids the long and short of special right triangles...tune in to find out what the fuss is all about.

 
Favorites (5)
 
Resources (16)
 
Reflections (2)
cheshire and cat in hat
   

Prove Triangle Midsegment Theorem using Analytic Geometry

Geometry » Unit: Analytic Geometry
Geometry » Unit: Analytic Geometry
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

As they say in real estate..."Location, Location, Location." In this lesson, students experience the impact of positioning when writing coordinate proofs.

 
Resources (22)
 
Reflections (1)
midsegment
   

Proving Theorems About Triangles

Geometry » Unit: Developing Logic and Proof
Geometry » Unit: Developing Logic and Proof
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

Proof Power! In this lesson, students the theorems we've proven make it possible to prove a host of other theorems.

 
Resources (6)
triangle sum
   

Proving Theorems involving Similar Triangles

Geometry » Unit: Similarity
Geometry » Unit: Similarity
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

9 steps for one and 3/4 of a dozen for the other. In this lesson students will learn to write two 9-step proofs that involve similar triangles.

 
Resources (17)
 
Reflections (1)
partition segment construction
   

Making Conjectures about the Midsegments of a Triangle

Geometry » Unit: Developing Logic and Proof
Geometry » Unit: Developing Logic and Proof
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

 
Favorites (1)
 
Resources (12)
triangle midsegment
   

Review for Trigonometry Unit Assessment

Geometry » Unit: Triangle Similarity and Trigonometric Ratios
Geometry » Unit: Triangle Similarity and Trigonometric Ratios
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

In this review lesson, students will apply their understanding of triangle similarity and trigonometry to write proofs.

 
Resources (10)
example with
Common Core Math
 
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