Title: Geometry – Logic and Reasoning

Teacher: / Adalinda Avila / Date: / 8/19-8/23 / Subject/Course: / Geometry / Grade: / 10, 11 and
12
CA Standard(s):
1.0  Students demonstrate understanding by identifying and giving examples of undefined
terms, axioms, theorems, and inductive and deductive reasoning.
2.0 Students write geometric proofs, including proofs by contradiction.
Learning Objective (s):
1.  Students will use properties from algebra in a two column proof.
2.  Students will use properties of segment congruence in a two column proof
3.  Using a compass and a straight edge students will construct a segment bisector and midpoint.
4.  Using a compass and a straight edge students will copy a line segment.
Essential Question(s): 1. How do we prove a statement?
2. When are two segments congruent? 3.How is inductive or deductive reasoning used in this lesson?
Assessment:
Formative: Exit Slip, thumbs up/down, self created examples of midpoint,
Summative: Quiz, Unit Test, Academic discourse using undefined terms and other basic geometric terms.
Do Now: Homework Corrections
WHOLE GROUP
Objectives
Students will
1.  Review Basic Vocabulary words
2.  Use properties from Algebra using a two column proof
3.  Use segment postulates: ruler postulate & segment addition postulate
DIRECT INTRUCTION STATION / COLLABORATIVE STATION / INDEPENDENT STATION
Interactive mini Lecture:
1.  I do
2.  We do
3.  You do
Students take notes in their notebook
1.  Postulate vs Theorem
2.  Distance formula vs Midpoint
3.  Segment addition postulate
Checking for Understanding
·  Oral
·  Questioning
·  Self - Reflect
·  Quizzes
Address possible misconceptions
Utilizes the interactive whiteboard / Studets will be given a two column proof
Where the reasons for each statement are in the wrong order. Students will analyse each statement, give a reason and compare with each other
Each student will create their own
exmple of “What is a proof” / Given a ruler and a straight edge the learner will draw a line segment bisect it label the midpoint, construct congruent segments, draw a perpendicular from a point to a line by using undefined terms, axioms, and theoreoms.