Grade 8 Mathematics Module 3

Teacher and student

Grade 8 Module 3: Similarity

In Module 3, students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the Angle-Angle criterion for similar triangles.  The module begins with the definition of dilation, properties of dilations, and compositions of dilations.  One overarching goal of this module is to replace the common idea of “same shape, different sizes” with a definition of similarity that can be applied to geometric shapes that are not polygons, such as ellipses and circles. 

The student materials consist of the student pages for each lesson in Module 3.  

The copy ready materials are a collection of the module assessments, lesson exit tickets and fluency exercises from the teacher materials. 

Downloadable Resources

Resources may contain links to sites external to the EngageNY.org website. These sites may not be within the jurisdiction of NYSED and in such cases NYSED is not responsible for its content.

Grade 8 Mathematics Module 3: Full Module - Teacher Materials (7.25 MB)
Grade 8 Mathematics Module 3: Full Module - Student Materials (1.9 MB)
Grade 8 Mathematics Module 3: Full Module - Copy Ready Materials (977.88 KB)
Grade 8 Mathematics Module 3: Module Overview (590.49 KB)
Grade 8 Mathematics Module 3: Module Overview (358.57 KB)
Grade 8 Mathematics Module 3: Mid-Module Assessment (880.45 KB)
Grade 8 Mathematics Module 3: Mid-Module Assessment (1.06 MB)
Grade 8 Mathematics Module 3: End-of-Module Assessment (879.41 KB)
Grade 8 Mathematics Module 3: End-of-Module Assessment (581.34 KB)
Grade 8 Mathematics Module 3: Topic Overviews - Zip File of Individual Documents (1.86 MB)
Grade 8 Mathematics Module 3: Teacher Materials - Zip File of Individual Documents (18.27 MB)
Grade 8 Mathematics Module 3: Student Materials - Zip File of Individual Documents (10.79 MB)
Grade 8 Mathematics Module 3: Arabic - Zip file of PDF documents (2.66 MB)
Grade 8 Mathematics Module 3: Arabic - Zip file of Word documents (7.24 MB)
Grade 8 Mathematics Module 3: Bengali - Zip file of PDF documents (3.65 MB)
Grade 8 Mathematics Module 3: Bengali - Zip file of Word documents (7.26 MB)
Grade 8 Mathematics Module 3: Simplified Chinese - Zip Folder of PDF Files (3.98 MB)
Grade 8 Mathematics Module 3: Simplified Chinese - Zip Folder of Word Documents (7.16 MB)
Grade 8 Mathematics Module 3: Traditional Chinese - Zip Folder of PDF Files (3.96 MB)
Grade 8 Mathematics Module 3: Traditional Chinese - Zip Folder of Word Documents (7.18 MB)

Common Core Learning Standards

CCLS State Standard
8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional...
8.G.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from...
8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles,...

Curriculum Map