# Material Related to New York State Common Core Geometry

**Overview of New York State Common Core Regents Standards** (updated November 1, 2017)

A short summary of the Common Core standards for *all New York State Regents courses* (Algebra I, Geometry, and Algebra II). This three-page document also contains information from various documents from the New York State Education Department (NYSED) about the exam, including the approximate distribution of topics on the Regents and the suggested level of emphasis of each topic.

**Geometry Review Sheet** (updated October 2018)

Project in which students create a review sheet of Geometry terms, either as index cards or a three-column sheet (term, definition, picture). Template for three-column sheet included. Contains a one-page summary of all topics for Geometry that students use as a reference.

**Summary of Proposed Changes to Common Core Standards (2017)** (updated June 2017)

In 2016, the New York State Education Department (NYSED) convened a committee of educators from across the state to suggest changes to the original Common Core standards. The new Next Generation Learning Standards will be implemented in 2018-19. This document contains a one-page summary of the proposed revisions for all three Regents-level high school courses (Algebra I, Geometry, and Algebra II).

**Two-Minute Proofs**

Here are links to quick demonstrations, proofs, and other techniques that you can use for Geometry.

Area of a parallelogram: http://www.geogebra.org/m/D8rjsGzF

Area of a trapezoid: http://www.geogebra.org/m/CgbeDBpd

Area of a circle

- As a parallelogram: http://www.geogebra.org/m/fyqAUV22
- As a triangle: http://www.geogebra.org/m/BqPZzXwu

Volume of a sphere: http://www.geogebra.org/m/chZEfhwy

Pythagorean Theorem

- Many different versions: http://www.cut-the-knot.org/pythagoras/
- Proof without words: http://www.geogebra.org/m/jFFERBdd#material/ATE2XV8p
- Using similar triangles: http://www.geogebra.org/m/vGdDpaTu

Writing the equation of a circle:

- Using the box method of multiplication: http://bit.ly/2vEmPQC
- Animation: http://www.geogebra.org/m/e6NG57eT
- As a translation of a circle centered at the origin: http://www.geogebra.org/m/ZGm2nN8N

Triangle Inequality Theorem: http://www.geogebra.org/m/hq5R8kB7

Sum of the interior angle measures of a triangle: http://www.geogebra.org/m/jEvQMDzj

Sum of the exterior angle measures of a triangle: http://www.geogebra.org/m/KWb7RrTu