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Analyzing Congruency Proofs

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Analyzing Congruency Proofs

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

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Angle Diagrams and Angle Theorems

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Angle Diagrams and Angle Theorems

Students will be able to connect angle diagrams to proofs of angle theorems that use those diagrams. 

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Angle Pieces

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Angle Pieces

Evelyn Israel's multi-activity resource for using angle sector laminated cut outs to support student sense-making.

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Classifying Triangles based on angle measures

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Classifying Triangles based on angle measures

Students solve for missing interior angles in triangles.  Triangles are on individual cards.  Students determine appropriate "angle" and "side" terms (acute, obtuse, right, scalene, isosceles, equilateral) and place the triangle cards into the table.  Opportunity to address why certain descriptions are impossible (such as an equilateral right triangle) and why it's impossible to have a triangle with more than 1 obtuse angle.

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Connecting Notation

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Connecting Notation

Use the structure of a pair of matched triangles to make sense of congruency notation. This is not about matching based on ASA, SAS, or SSS.

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End of Unit Assessment (Geometry, Unit 2)

Geometry
Unit 2: Proofs about Congruence
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End of Unit Assessment (Geometry, Unit 2)

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization. 

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Finding Angles in Polygons #1

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Finding Angles in Polygons #1

Use geometric properties in a polygon to find an unknown angle.

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Finding Angles in Polygons #2

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Finding Angles in Polygons #2

Use geometric properties in a polygon to find an unknown angle.

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Finding Angles in Polygons #3

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Finding Angles in Polygons #3

Use geometric properties in a polygon to find an unknown angle.

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Finding Angles in Triangles #1

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Finding Angles in Triangles #1

Use the structure of a collection of angles inside triangles to find the value of an angle.

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Finding Angles in Triangles #2

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Finding Angles in Triangles #2

Use the structure of a collection of angles inside triangles to find the value of an angle.

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Finding Angles in Triangles #3

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Finding Angles in Triangles #3

Use the structure of a collection of angles inside triangles to find the value of an angle.

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