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Common Core: Standard
Common Core: ELA
Common Core: Math
CCLS  Math: G.GPE.5
 Category
 Expressing Geometric Properties With Equations
 SubCategory
 Use Coordinates To Prove Simple Geometric Theorems Algebraically
 State Standard:
 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
5 Results

 Geometry Module 4: Connecting Algebra and Geometry Through Coordinates In this module, students explore and experience the utility of analyzing algebra and geometry challenges through the framework...

 The challenge of programming robot motion along segments parallel or perpendicular to a given segment leads to an analysis of slopes of parallel and perpendicular lines. Students write equations for...

 Student Outcomes: Students generalize the criterion for perpendicularity of two segments that meet at a point to any two segments in the Cartesian plane. Students apply the criterion to determine if...

 Student Outcomes: Students state the relationship between previously used formats for equations for lines and the new format a1x + a2y + c, recognizing the segments from (0,0) to (a1, a2) as a normal...

 Student Outcomes: Students recognize parallel and perpendicular lines from slope. Students create equations for lines satisfying criteria of the kind: “Contains a given point and is parallel/...