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Description:

This 3-4 week unit uses an investigation of rigid motions and geometric theorems to teach students how to verify congruence of plane figures and use the implications of congruence to solve problems and create proofs about geometric relationships. Students will demonstrate mastery of the content by making sense of the Company Logo Performance Task and persevering in solving the task.

Education Levels:

9, 10, 11, 12

Subject:

Geometry

Resource Type:

Unit of instruction

Medium:

PDF

Fee Status:

Free

Beneficiary:

Students

Online provider:

New York City Department of Education

Show more properties

Keywords:

Congruence, Quadrilaterals, Triangles, Plane figures, Logos

Mediator:

Secondary school teachers

Publisher:

New York City Department of Education

Is Part Of:

http://schools.nyc.gov/

Language:

English

General

Learning Time:

3-4 weeks

Subjects/Topics

P21 Subject:

Mathematics

Instructional Methods

Assessment Method:

Authentic assessment

Learning Outcomes:

Learning Outcomes:

Broad Correlation

Common Core State Standards for Mathematics (2010)

High School — Geometry

Congruence

Prove geometric theorems

Prove theorems about triangles.

Broad Correlation

Common Core State Standards for Mathematics (2010)

High School — Geometry

Similarity, Right Triangles, and Trigonometry

Prove theorems involving similarity

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Broad Correlation

Common Core State Standards for Mathematics (2010)

High School — Geometry

Congruence

Understand congruence in terms of rigid motions

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

Broad Correlation

Common Core State Standards for Mathematics (2010)

High School — Geometry

Congruence

Understand congruence in terms of rigid motions

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Broad Correlation

Common Core State Standards for Mathematics (2010)

High School — Geometry

Congruence

Prove geometric theorems

Prove theorems about lines and angles.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Standards for Mathematical Practice

Make sense of problems and persevere in solving them.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Standards for Mathematical Practice

Construct viable arguments and critique the reasoning of others.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Standards for Mathematical Practice

Attend to precision.

This data provided by the Achievement Standards Network

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