Unit 6 Modeling Geometry
In this unit students will: • use Algebra to model Geometric ideas. • spend time developing equations from geometric definition of circles and parabolas. • address equations in standard and general forms. • graph by hand and by using graphing technology. • address parabolas as a type of conic section and make connections as to how parabolas were addressed in previous course work. • develop the idea of algebraic proof in conjunction with writing formal geometric proofs.
Graphs & Equations of Circles http://www.youtube.com/watch?v=9rLD8STilo4
Intersection of a Circle & a Line http://www.youtube.com/watch?v=c8nBAY9iMKI
http://www.youtube.com/watch?v=OuAhkinZVsU
Completing the Square to write the Equation of a Circle http://www.youtube.com/watch?v=acEMeYxaa4E
Graphing & Writing Equations of Parabolas http://www.youtube.com/watch?v=h1jzvb1uEpY
http://www.youtube.com/watch?v=LnT9Buq4K_A
Proving a Point is on a Circle http://www.youtube.com/watch?v=sgjlkcy057Q
Distance Formula http://www.youtube.com/watch?v=nyZuite17Pc
Proving a Rectangle on the Coordinate Plane http://www.youtube.com/watch?v=pngO1hGBF78
Proving a Square in the Coordinate Plane http://www.youtube.com/watch?v=W8_TuLMODOw
In this unit students will: • use Algebra to model Geometric ideas. • spend time developing equations from geometric definition of circles and parabolas. • address equations in standard and general forms. • graph by hand and by using graphing technology. • address parabolas as a type of conic section and make connections as to how parabolas were addressed in previous course work. • develop the idea of algebraic proof in conjunction with writing formal geometric proofs.
Graphs & Equations of Circles http://www.youtube.com/watch?v=9rLD8STilo4
Intersection of a Circle & a Line http://www.youtube.com/watch?v=c8nBAY9iMKI
http://www.youtube.com/watch?v=OuAhkinZVsU
Completing the Square to write the Equation of a Circle http://www.youtube.com/watch?v=acEMeYxaa4E
Graphing & Writing Equations of Parabolas http://www.youtube.com/watch?v=h1jzvb1uEpY
http://www.youtube.com/watch?v=LnT9Buq4K_A
Proving a Point is on a Circle http://www.youtube.com/watch?v=sgjlkcy057Q
Distance Formula http://www.youtube.com/watch?v=nyZuite17Pc
Proving a Rectangle on the Coordinate Plane http://www.youtube.com/watch?v=pngO1hGBF78
Proving a Square in the Coordinate Plane http://www.youtube.com/watch?v=W8_TuLMODOw