Chapter 1 Guide - Herscher CUSD #2

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Chapter 1 Guide

Analytical Geometry

Pre-Requisite Knowledge

Pages 387 through 394 in your text have a comprehensive review of concepts you learned in trigonometry and this book considers prior knowledge when assigning a problem. Pages 395 through 403 in your text have a listing of all trigonometric identities and properties/theorems learned in Geometry that once again your book considers prior knowledge and relies upon when giving you a problem. You are responsible for the knowledge contained in these sections . We will try to review as we go, however if you are stuck refer to these pages for that ever elusive light bulb.

Homework Assignments Pacing

§ 1.1/1.2 - page 9: 1, 5, 7, 11 – 25 odd, 28, 31 (13)

Geometry concepts to know: perpendicular bisector, circumcenter

§ 1.3 – page 18: 1 – 17 odd, 21, 22, 24, 26 (13)

Geometry concepts to know: median, concurrent

Review & QUIZ

§ 1.4/1.5 – page 28: 5 – 9 all, 11, 13, 14, 15 – 21 odd, 25, 26, 27, 29, 30, 33, 34 (19)

Geometry concepts to know: altitude

§ 1.6 – page 35: page 35: 3 – 11 odd, 19 – 23 odd, 24, 25, 29, 31 – 33 all (14)

Geometry concepts to know: isosceles

Review & QUIZ

§ 1.7 – page 42: 3 – 37 eoo, 43, 44, 48, 56, 58 (14)

Geometry concepts to know: n/a

§ 1.8 – page 48: 1 – 23 odd (12)

Geometry concepts to know: n/a

Review & TEST – page 49: 1 – 15 all (15)

Worksheet

1 Day

8/18

1 Day

8/19

2 Days

8/20 & 8/21

1 Day

8/24

1 Day

8/25

2 Days

8/26 & 8/27

1 Day

8/28

2 Days

8/31 & 9/1

3 Days

9/2, 9/3 & 9/4

Directions

You are to complete all assignments in a notebook of your choosing. Assignments may or may not be graded. The frequency, depth, and focus of grading homework will be done at Mrs. Rezba’s discretion. The questions for the chapter and challenge problem are due on the day of the test.

Complete, coherent, grammatically correct sentences with correctly spelled words that are accurately punctuated are required within all assignments.

Questions for the Chapter

Who first defined the coordinate plane? What is the formal name for the coordinate plane and the points in them?

Who is the father of analytic geometry? What are the four basic rules for deducing knowledge in the matter of a geometry proof as described by the creator of analytic geometry in his 1637 book?

What does it mean to you to prove a geometrical concept analytically? What are the key things to know to do for every analytical proof?

Challenge Problems

You are to choose one challenge problem and complete it as a formal proof as demonstrated by Mrs.

Rezba’s completion of problem pg 19 #25.

Pg 19 # 31

Pg 50 # 16

Pg 50 # 18

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