Geometry: Transformations and Pythagorean Theorem · Weeks 19-27

Review: Transformations & Pythagorean Theorem

Comprehensive review of rigid motions, dilations, congruence, similarity, and the Pythagorean Theorem.

Key Questions

  1. Critique common misconceptions related to transformations and their properties.
  2. Synthesize understanding of geometric transformations to analyze complex figures.
  3. Evaluate the utility of the Pythagorean Theorem in solving various geometric problems.

Common Core State Standards

CCSS.Math.Content.8.G.A.1CCSS.Math.Content.8.G.A.2CCSS.Math.Content.8.G.A.3CCSS.Math.Content.8.G.A.4CCSS.Math.Content.8.G.B.6CCSS.Math.Content.8.G.B.7CCSS.Math.Content.8.G.B.8
Grade: 8th Grade
Subject: Mathematics
Unit: Geometry: Transformations and Pythagorean Theorem
Period: Weeks 19-27

Suggested Methodologies

Escape Room

Solve content puzzles in sequence to "break out"

30–50 min

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Jigsaw

Each student becomes an expert, then teaches

30–50 min

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More in Geometry: Transformations and Pythagorean Theorem

Introduction to Transformations

Understanding the concept of transformations and their role in geometry.

2 methodologies

Translations

Investigating translations and their effects on two-dimensional figures using coordinates.

2 methodologies

Reflections

Investigating reflections across axes and other lines, and their effects on figures.

2 methodologies

Rotations

Investigating rotations about the origin (90, 180, 270 degrees) and their effects on figures.

2 methodologies

Sequences of Transformations

Performing and describing sequences of rigid transformations.

2 methodologies

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