6+-+Standards

__**Pennsylvania**__

2.1.8.E Simplify and expand algebraic expressions using exponential forms.

2.4.11 C Determine the validity of an argument.

2.8.11 C Use patterns, sequences and series to solve routine and non-routine problems.

2.9.11 G Solve problems using analytic geometry.

2.10.8.A Compute measures of sides and angles using proportions, the Pythagorean Theorem and right triangle relationships.

2.10.8.B Solve problems requiring indirect measurement for lengths of sides of triangles.

2.10.11 B Identify, create and solve practical problems involving right triangles using the trigonometric functions and the Pythagorean Theorem

__**Texas**__

(8.7)(C) use pictures or models to demonstrate the Pythagorean Theorem (8.9)(A) use the Pythagorean Theorem to solve real-life problems (G.5) (D) identify and apply patterns from right triangles to solve meaningful problems, including special right triangles (45-45-90 and 30-60-90) and triangles whose sides are Pythagorean triples. (G.8) (C) derive, extend, and use the Pythagorean Theorem.

Other standards for future development/consideration: (G.5) (D) identify and apply patterns from right triangles to solve meaningful prob lems, including special right triangles (45-45-90 and 30-60-90) and triangles whose sides are Pythagorean triples. (G.11) (C) develop, apply, and justify triangle similarity relationships, such as right triangle ratios, trigonometric ratios, and Pythagorean triples using a variety of methods; and