MR. LUPINACCI'S CLASSROOM
Geometry
Our study of geometry starts with formal logic and continues through classic geometry.
Through our study of logic we will work to develop our ability to reason by using precise language to construct airtight proofs that lead to clear, indisputable conclusions.
Geometry literally means the measure of the Earth. Throughout this course we will explore the connections between math and the natural world and math as a description of the Universe.
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When we tackle formal proofs, students will imagine themselves in the role of lawyers who will use logic and their increasing knowledge of geometry to demonstrate common proofs, such as proving two triangles "guilty" of being congruent to each other. If the logic is not airtight, students will have a chance to revise their case so that it won't be dismissed.
Unit 1: Logic:
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Chapters 1 & 2: Introduction to Geometry and Proofs
Chapter 3: Congruent Triangles
January Final Exam
SEMESTER TWO
Chapter 4: Perpendicularity and Equidistance Theorems
Chapter 5: Parallel Lines
Chapter 7: Polygons
Chapter 8: Similar Polygons
Chapter 9: The Pythagorean Theorem
This sheet has two pages of questions and then two pages of answers.
Chapter 10: Circles
There are a couple of circle problems you should be prepared to do. Page 509, sample problem #4 is one good example. Also, p. 510 #6.
For practice, I would suggest all of the problems on p. 510.
Also, p. 511 #8, 11a, and #13
p. 512 #15a, 15e
p. 541 #13a, b, c
p. 543 #27a
Parallel Lines Review Sheet
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