Unit 2:  Lines, Angles & Transformations

Time Frame:  7 Weeks

## Unit Description

Lines and angles are basic figures with unique relationships that can be utilized in many diverse fields such as architecture, music, history and science.

## 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?

## Students will know…

·       how to use deductive reasoning to prove a statement.

·       how to make and verify conjectures about angles, lines, polygons, circles and 3-D figures in both Euclidean and non-Euclidean 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 real-life situation.

·       identify conditional statements and test whether given statements or valid or not.

·       make conjectures about angles, lines, polygons, circles and 3-D figures.

·       identify and apply geometric relationships using spatial reasoning.