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Unit Details

​​​​​​​​​​​​​​​​​​​​​​​​Instructions: Rockwood unit details share the timeline, the enduring understanding and the essential questions for each unit.  Click on the standard title to be directed to the information on related standards for the unit.​

 Unit Details

Unit Title
Similarity
Unit Number
GEOM07
Course
Geometry
Content Area
Math
Description
The student will derive and use the properties of special quadrilaterals utilizing geometric and algebraic concepts on a coordinate plane. They will be able to calculate the area and perimeter of polygons in the coordinate plane.
Timeline
2 Week(s)
Enduring Understandings
Quadrilaterals fit into a hierarchy in which some quadrilaterals possess unique characteristics while also sharing the characteristics of the quadrilaterals above them.
Coordinate geometry can be used to prove the classification of a given quadrilateral.
Essential Questions
What makes kites and trapezoids different from other quadrilaterals?
How can slope and distance be used to prove the classification of a quadrilateral?
What are the properties of quadrilaterals?
How are quadrilaterals classified?


Additional Unit Resources

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Standard
Standard Component
  
Use geometric shapes, their measures and their properties to describe objects.
  
  
Standard
Standard Component
  
Prove the slope criteria for parallel and perpendicular lines and use them to solve problems.
ECO
  
Apply geometric methods to solve design mathematical modeling problems.
  
Construct and analyze scale changes of geometric figures.
  
Use the definition of similarity to decide if figures are similar and to solve problems involving similar figures.
  
Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
ECO
  
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.