Standards

What about standards? Teaching The Pythagorean Theorem satisfies the following Georgia Performance Standards--

Geometry Standard:
Students will use and apply geometric properties of plane figures, including congruence and the pythagorean theorem.

**M8G2. Students will understand and use the Pythagorean theorem.**
a. Apply properties of right triangles, including the Pythagorean theorem. b. Recognize and interpret the Pythagorean theorem as a statement about areas of squares on the sides of a right triangle.

Process standards:
The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students needs.

**M8P2. Students will reason and evaluate mathematical arguments.**
a. Recognize reasoning and proof as fundamental aspects of mathematics. b. Make and investigate mathematical conjectures. c. Develop and evaluate mathematical arguments and proofs. d. Select and use various types of reasoning and methods of proof.

**M8P3. Students will communicate mathematically .**
a. Organize and consolidate their mathematical thinking through communication. <span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">b. Communicate their mathematical thinking coherently and clrearly to peers, teachers, andothers. <span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">c. Analyze and evaluate the mathematical thinking and strategies of others. <span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">d. Use the language of mathematics to express mathematical ideas precisely.

<span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">**M8P4. Students will make connections among mathematical ideas and to other disciplines.**
<span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">a. Recognize and use connections among mathematical ideas. <span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">b. Understand how mathematical ideas interconnect and build on one another to produce acoherent whole. <span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">c. Recognize and apply mathematics in contexts outside mathematics.

<span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">**M8P5. Students will represent mathematics in multiple ways.**
<span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">a. Create and use representation to organize, record, and communicate mathematical ideas. <span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">b. Select, apply, and translate among mathematical representatives to solve problems. <span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">c. Use representation to model interpret physical, social, and mathematical phenomena.

<span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">Georgia Performance Standards can be found here.

<span style="color: #137272; font-family: Georgia,serif; font-size: 120%;">**Editor's Note:** We understand that this page will have to be altered within the next year, Common Core is on the way!

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