Unit Overview:
This unit helps the students demonstrate their understanding of deductive reasoning, triangles, and quadrilaterals in the context of the coordinate plane. This unit is taught at this point in the course because students can now use their deductive reasoning skills and geometry vocabulary developed in previous units to make connections between algebra and geometry. This unit concludes congruent transformations, but leads into dilations and the definition of similarity.
Enduring Understanding:
Essential Questions:
This unit helps the students demonstrate their understanding of deductive reasoning, triangles, and quadrilaterals in the context of the coordinate plane. This unit is taught at this point in the course because students can now use their deductive reasoning skills and geometry vocabulary developed in previous units to make connections between algebra and geometry. This unit concludes congruent transformations, but leads into dilations and the definition of similarity.
Enduring Understanding:
- An object’s location in the coordinate plane can be described quantitatively and be used to prove geometric theorems algebraically.
- The Pythagorean Theorem can be applied in many different real life situations.
Essential Questions:
- How does the definition of a circle relate to the pythagorean theorem and distance formula?
- How does the distance formula relate to the pythagorean theorem?
- How do you prove the special properties of quadrilaterals algebraically?
- How can you quantify a transformation through coordinate geometry?
- How do you prove that a transformation preserves congruence? (By using distance formula to calculate lengths of sides of polygons in a coordinate plane.)
