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Area Problem

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Area Problem

This single-day resources gives students an opportunity to deepen their understanding of trigonometry, special triangles, while giving them a preview of area.

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Dilating Lines: An Exploration

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Dilating Lines: An Exploration

These student worksheets have the students use slope and distance to dilate a line.

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End of Unit Assessment (Geometry, Unit 4)

Geometry
Unit 4: Right Triangle Trigonometry
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End of Unit Assessment (Geometry, Unit 4)

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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Example Proofs of the Pythagorean Theorem

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Example Proofs of the Pythagorean Theorem

Website that models different proofs of the Pythagorean theorem, with diagrams.

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Finding the Height of Your School

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Finding the Height of Your School

Using right triangle trigonometry, students will be able to find the height of the school building.

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How to Build a Soccer Goal

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How to Build a Soccer Goal

Resources that can be used to apply the Pythagorean Theorem to the construction of a soccer goal from cylindrical piping.

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Instructions for Hopewell Geometry

Geometry
Unit 4: Right Triangle Trigonometry
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Instructions for Hopewell Geometry

This page contains instructions on how to use the initial task, Hopewell Geometry, to find out what your students already know about reasoning with right triangles.

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Introducing Right Triangles

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Introducing Right Triangles

The objective for this initial introduction is to motivate the use of right-angle trigonometry through an investigation followed by a problem solving task using the results of that investigation.

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Parallax

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Parallax

Students will use distant buildings and the changing angles as they move in 1 direction to apply trig and find missing distances.

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Proofs of the Pythagorean Theorem

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Proofs of the Pythagorean Theorem

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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Proving the Pythagorean Theorem

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Proving the Pythagorean Theorem

During this Core Resource, students explore the Pythagorean theorem and how similar triangles can be used in a variety of different ways to prove theorems about right triangles, including the Pythagorean theorem itself.

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Pythagorean Triples

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Pythagorean Triples

Use the structure of the side lengths of triangles to make matches between a set of Pythagorean triples.

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