# Geometry

Students will interactively learn about the angle relationships including corresponding, alternate interior, alternate exterior, vertical, and same-side interior angles. They will learn which pairs are congruent and which pairs add up to 180 degrees (only assuming the lines are parallel). They will also have their first encounter with a transversal and how that fits into the equation.

Students will review what they have learned over this unit (basics of geometry, proofs, etc). They will do 3 review stations, and then they will participate in a power-point game using their white boards and markers.

This lesson is the students' first real experience with writing a 2-column geometric proof. They will be given the format of a how a proof looks (given, definitions/theorems/etc, and then conclusion), and they will practice with a couple fill in the blank proofs which leads into eventually writing their own 2-column proof of the Vertical Angles Theorem.

Students are introduced to Geometric Proofs in the real world. They are required to try piece together different hints and clues to try and solve a murder case before the experts (CSI agents) do. It is a great interactive and fun activity to get students excited about proofs.

The students will get their first introduction to proofs. Since we are dealing with algebraic proofs, this is the first time students will be challenged to justify every step of solving an equation. They must start to think WHY along with HOW.

Students will identify, write, and analyze the truth value of a conditional statement. They will first learn what the inverse, converse, and contrapositive of a conditional statement is and by the end will be able to write all 3 of these. There will be a variety of math related examples along with real life examples.

The students will be introduced to adjacent + vertical angles along with linear pairs. They will be asked to solve problem based off these angle relationships. Additionally, they will find the complement and supplement of an angle.

Students will be using the segment addition postulate and the midpoint theorem to find the lengths of various segments. This will include simple drawings as well as more challenging word problems. These postulates and theorems will be used the entire year in Geometry.

Students will define a point, line, ray, segment, and plane as it relates to Geometry concepts they will be exploring the rest of the year. These definitions will become essential once students start writing proofs and determining when to use certain notation. This is a building block for the entire year.

In this lesson, students will learn how to use the CPCTC theorem (Congruent Parts of Congruent Triangles are Congruent) in order to complete a proof. They will first use one of the 5 triangle congruence theorems (SSS, SAS, AAS, ASA, HL) in order to use the CPCTC. It is a great lesson putting together everything they have learned thus far in the unit.