arguments and formula.★ critique the Note: This standard provides practice with the distance formula reasoning of others. and its connection with the Pythagorean theorem. Use coordinates to prove simple Model with Essential Skills and Knowledge geometric mathematics. theorems See the skills and knowledge that are stated in the algebraically Use appropriate Standard. tools (continued from the strategically. previous page) Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. G.GPE.2 Derive the equation of a parabola given a focus and Make sense of directrix. problems and Translate between persevere in solving the geometric Note: The directrix should be parallel to a coordinate axis. them. description and the equation for Essential Skills and Knowledge a conic section. Reason abstractly Ability to connect the distance formula and the and definition of a parabola quantitatively. Ability to connect the algebraic and geometric
Use coordinates to prove simple geometric theorems algebraically (continued from the previous page) formula.★ Note: This standard provides practice with the distance formula and its connection with the Pythagorean theorem. Essential Skills and Knowledge See the skills and knowledge that are stated in the Standard. arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Translate between the geometric description and the equation for a conic section. G.GPE.2 Derive the equation of a parabola given a focus and directrix. Note: The directrix should be parallel to a coordinate axis. Essential Skills and Knowledge Ability to connect the distance formula and the definition of a parabola Ability to connect the algebraic and geometric Make sense of problems and persevere in solving them. Reason abstractly and quantitatively.