Enduring Understandings
·
Relationships among lines and angles can be used in everyday
problems in design and application.
·
Since many geometric figures in the real world are not
stationary, transformations provide a way for us to describe their movement.

Essential Questions
·
What is nature’s geometry? How can man use nature’s geometry
to improve his environment?
·
What type of evidence supports inductive or deductive
reasoning? Does the answer to this question matter?
·
How does my understanding of algebraic principles help me
solve geometric problems?

GLEs: 4, 6, 9, 10, 11, 12, 14, 15, 16, 17, 19,
23

Students will know…
·
how to use deductive reasoning to prove a statement.
·
how to make and verify conjectures about angles, lines,
polygons, circles and 3D figures in both Euclidean and nonEuclidean
geometry.
·
how to construct and justify statements, determine
truthfulness of a converse, an inverse and a contrapositive
statement and demonstrate what it means to prove a statement is true.
·
how to demonstrate an understanding of geometric
relationships and spatial reasoning.

Students will be able
to…
·
use deductive reasoning in a reallife situation.
·
identify conditional statements and test whether given
statements or valid or not.
·
make conjectures about angles, lines, polygons, circles and
3D figures.
·
identify and apply geometric relationships using spatial
reasoning.
