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GEOMETRY
Summer School 2010 @ Orinda Academy
Teacher:  Bob Shayler
Trail Marker in NWT Canada

Course Overview:

This is a standard college preparatory geometry course and satisfies a Cal State / UC entry requirement.  The text book used is “Geometry” published by Prentice-Hall © 2009.  One copy will be available for loan for the duration of the summer course.

The major topics covered in the course include:  points, lines, planes and shapes; use of geometry tools; perimeters and areas; reasoning and proofs; parallel and perpendicular lines; congruent shapes, triangles; quadrilaterals (names and properties); similarities; right triangles and introduction to trigonometry; areas of shapes, surface areas, and volumes; properties of circles.

Requirements for Students:

Each student must have and be able to use in class each day a metric ruler, protractor, compass, calculator and rectangular graph paper. 

Assignments will be required to be completed each day.  There will be a couple of quizzes and one test each week.  There will be a final exam at the end of each of the two terms of the summer session.  No course credit can be earned if a student has more than three absences for any reason.

Assignments will be available in print, online and by email.  Contact with the teacher should be done by email: 

bob @ orindaacademy.org (without the spaces)

Grading standards:

98-100           A+
93-97             A
90-92             A-
88-89             B+
83-87             B
80-82             B-
78-79             C+
73-77             C
70-72             C-
68-69             D+
63-67             D
60-62             D-

Participation (term)
          10%
Assignments (term)
          40%
Quizzes (term)
          30%
Tests (term)
          20%
Term Average
          80%
Final Exam
          20%

 

GEOMETRY ASSIGNMENTS 15 July – 06 August
Second Term

Thursday July 15

Review of Chapter 5 TEST and the First Term FINAL EXAM

Introduction to Quadrilaterals: classifying and naming them, properties of parallelograms, proving quadriaterals to be parallelograms

6.1 (pp 308-310): 1-12all, 13-23odd; 25, 26, 29-34all, 45-48all, 50-53all
6.2 (pp 315-316): 1-13all, 15-27odd
6.3 (pp 324-326): 1-9all, 12, 15, 17, 21

Friday July 16

6.3 (pp 326-327): 29-32all, 33, 35
Checkpoint QUIZ 1 (p 327): 1-10all

QUIZ on 6.1-6.3

Special Parallelograms, trapezoids and kites; figures and coordinate planes

6.4 (pp 332-334): 1-9all, 11-15odd, 16-18all, 23, 35-37all 44-46all
6.5 (pp 338-340): 1-7all, 9-15odd, 21-27odd, 31-36all, 39-43odd
6.6 (pp 344-345): 2-7all, 10-15all, 23-27all (use graph paper)
Checkpoint QUIZ 2 (p 347): 1-10all

Monday July 19

Proofs Using Coordiante Geometry

6.7 (pp 349-352): 1, 3, 5, 6, 9, 13-23odd, 35, 40

Using the application "Grapher" on the Macs

Quadratics (pp 354-355): Informally do examples 1-4 (print each example)

Chapter 6 Review (pp 357-359): 1-10all, 11-23odd
Chapter Test (as an assignment - p 360): 1-23odd

Tuesday July 20

Chapter 6 TEST

Similarity: ratios and proportions, similar polygons, similar triangles

7.1 (pp 369-370): 1, 2, 3-19odd, 21-27all
7.2 (pp 375-377): 1-16all, 21-26all, 33, 35
Checkpoint QUIZ 1 (p 375): 1-10all
7.3 (pp 385-386): 1, 2, 11-19all

Wednesday July 21

Similarity: right triangle similarity

7.3 (p 387): 25, 27, 31-39odd

QUIZ on ratios, proportions, similar polygons and triangles

7.4 (p 393): write out examples 2 & 3
7.4 (pp 394-395): 1-19odd, 22, 27-35odd, 39-51odd
7.5 (pp 399-400): write out examples 1-3
7.5 (pp 400-402): 1-23odd, 25, 26, 35

Thursday July 22

7.5 (pp 403-404): 48-63all
Checkpoint QUIZ (p 404): 1-9odd

Chapter 7 Review (pp 407-409): 9-37odd

Chapter 7 TEST (last hour of class)
Friday July 23

Right Triangles, Pythagorean Theorem, "Special" right triangles

8.1 (pp 420-422): 1-33odd, 36-39all, 51, 54, 55
8.2 (pp 428-430): 1-6all, 9-14all 20-22all, 27, 29-32all
Checkpoint QUIZ (p 430): 1-10all

Monday

July 26

Translations, Reflections, Rotations, Symmetry, Dilations

9.1 (pp 473-475): 1-14all, 17-19all, 20-22all, 26, 31, 33
9.2 (pp 480-481): 1-14all, 19, 29-35odd
9.3 (pp 485-487): 1-9all, 11-25odd, 28-30all
9.4 (pp 494-495): 1-16all, 21-23all (use graph paper)
9.5 (pp 500-501): 1-33odd (use graph paper)

Tuesday July 27

Compositions of Reflections, Tessalations

9.6 (pp 509-511): 1-9all, 11-25odd, 31-34
9.7 (p 518): 1-17all

QUIZ on Ch 9.1-9.3

Wednesday July 28

Chapter 9 Review

Chapter 9 Review questions (pp 524-525): 9-35odd
Chapter 9 Test in book (p 526): 1-30all

Chapter 9 TEST

Thursday July 29

Areas: Parallelograms, Triangles, Trapezoids, Rhombuses, Kites

10.1 (pp 536-538): 1-9all, 11, 13, 19-27odd, 31-39odd
10.2 (pp 542-544): 1-27odd, 30-32all, 36

Areas of Regular Polygons

10.3 (548-549): 1-21odd, 31-34all
Checkpoint Quiz (p 551): 1-10all

Friday July 30

QUIZ on Areas of Polygons (10.1-10.3)

Perimeters and Areas of Similar Figures

10.4 (pp 555-557): 1-23odd, 27-31odd, 35-37all

Circles, Arcs and Sectors

10.6 (pp 569-571): 1-14all, 15-39odd, 43=47odd, 49-51all
10.7 (pp 577-579): 1-19odd, 22-27all, 31,35-38all

Monday

Aug 2

Chapter 10 Review

Review (pp 589-591 not including 10.5 and 10.8): 1-5all, 6-18all, 26-33all
Chapter 10 Test assignment (p 592): 1-8all, 13-18all, 22, 23

Chapter 10 TEST after the main break

Tuesday Aug 3

Chapter 12 Circles, Tangent Lines, Chords and Arcs

12.1 (pp 665-666): 1-12all, 13-19odd
12.2 (pp 673-674): 1-19odd, 23, 25

Chapter 11 Euler's Formula, Surface Areas and Volumes of some solid shapes

11.1 (pp 601-602): 1-9odd, 13=19all, 27-29all
11.2 (pp 611-612): 1-10all, 13-15all
11.3 (pp 620-621): 1-13odd, 18-20all

Wednesday Aug 4

QUIZ on Chapter 12.1 & 12.2

11.4 (pp627-628): 1-15odd, 17-19all
11.5 (pp 634-635): 1-15odd, 16-18all
11.6 (pp 640-641): 1-19odd

Sample FINAL EXAM distributed: all due tomorrow for discussion, then the exam after the main break.

Thursday Aug 5

Sample Final Exam Review in class. This is the last assignment for the class.

FINAL EXAM after the main break.

You may remain after you have taken the test if you wish to obtain your final exam grade or test grade if I am able to determine them during class time. Please check your email after 6pm today for your final exam and semester 2 grade so you can decide whether to take any make-up test.

Friday Aug 6

Make-up Assignments and Make-up Test Day

Today is the last day to submit any late assignments or take any makeup test. Bob will be unavailable after today so this is it!

Please check your email after 6pm today for your final exam and semester 2 grade (revised if necessary due to late work submitted or any make-up tests).

 

GEOMETRY ASSIGNMENTS 21 June – 14 July
First Term

Monday

June 21

Introductions: Who are we and why are we here?
Euclidean graphing: patterns, reasoning, drawings, points, coordinates, lines, slopes

1.1 (pp 6-8): 1-45odd
1.2 (pp 13-14): 3-30every 3rd
1.3 (pp 19-21): 1-8all, 11-16all, 21,23,39-43odd, 51-59odd

Tuesday

June 22

All tools must be brought to class: metric ruler, protractor, compass, rectangular graph paper
Rays, segments, angles

1.4 (pp 25-27): 1-23all, 25-33all, 40, 43
1.5 (pp 33-35): 1-21odd, 29-33all, 39-43all
1.6 (pp 40-42): 1-32all, 49, 50-54all

QUIZ on 1.1-1.5

Wednesday

June 23

All tools are required from now on every day. Construction of lines and angles; coordinate plane, midpoints, distance formula; perimeter, circumference and area of circles and quadrilaterals.

1.5 (pp 47-49): 1-15all, 18, 22-24all, 25, 29-32all
1.6 (pp 56-58): 1-41odd, 45, 53-57odd
1.7 (pp 65-67): 1-37odd, 42-45all, 53,55

Thursday June 24

Review of Chapter 1 and then a test on chapter 1

Ch 1 Review (pp 71-73): 1-41odd
TEST on Chapter 1

Conditional statements, counterexamples, Venn diagrams, converse of conditionals; biconditional statements and definitions

2.1 (pp 83-85): 1-35odd, 41. 43, 45, 55, 57
2.2 (pp 90-91): 1-23odd, 18-23all, 29, 31, 32, 33-37all

Friday June 25

Deductive Reasoning, Law of Detachment, Law of Syllogism; Algebraic Reasoning, properties of equality, distributive property,justifying steps in soving an equation; Proving angles congurent, vertical angles theoremcongruent supplements and complements theoems.

2.3 (pp 96-98): 1-15odd, 16-21all, 23-31odd
2.4 (pp 105-107): 1-23all 27, 31
2.5 (pp 112-115): 1-6all, 7, 12-18all

Monday June 28

Chapter 2 Review (pp 117-119): 1-35odd. Then practice with online chapter 2 tests (see page 120 "Go Online in upper right corner of the page)

TEST on Chapter 2

Introduction to the properties of parallel lines: transversals, alternaet interior angles and more.

3.1 pp 131-132: 1-7all, 9-31odd

Tuesday June 29

How to prove that lines are parallel; perpendicular lines; triangle sum theory; polygon angle-sum theory.

Make-up TEST on Chapter 2 (if desired)
3.2 (pp 137-140): 1-8all, 11-21odd, 24, 27, 28-31all
3.3 (pp 143-144): 2-12all15-21odd
3.4 (pp 150-151): 1-6all, 10-15all18-20all, 21, 25
3.5 (pp 161-162): 1-25all,47-53odd

Wednesday June 30

QUIZ on Ch 3.1-3.4

Lines in a coordinate plane; slopes of parallel and perpendicular lines.

3.6 (pp 169-171): 1-27odd, 33-37all, 49, 51, 57, 59, 64-68all
3.7 (pp 177-179): 1-4all, 6-11all, 13-21odd, 29, 31, 40-43all. 45. 46

Constructing parallel and perpendicular lines

3.8 (p 184): 1-5all, 9, 13

Thursday July 1

QUIZ on Ch 3.5-3.6

Constructing parallel and perpendicular lines

3.8 (p 185): 17-23odd, 26

Chapter 3 Review

Ch 3 Review (pp 189-191): 1-43odd

Friday July 2

Practice for Chapter 3 Test

Chapter 3 Test (practice) (p 192) 1-28all
Online test practice (not to be submitted)

Chapter 3 TEST

No Assignment for Tuesday July 6

Monday July 5 HOLIDAY : No summer school today

Tuesday

July 6

Congruence and Triangles : SSS, SAS, ASA

4.1 (pp 200-201): 1-12all, 16-23all, 25, 27
4.2 (pp 208-210): 1-9odd, 10-13all, 19, 21-27odd
4.3 (pp 215-217): 1-7all, 10, 13-15all, 21, 23
Checkpoint Quiz (p 219): 1-10all

Wednesday July 7

Congruent Triangles : CPCTC

4.4 (pp 222-224): 2. 3. 6, 7, 14-16all, 19, 21

QUIZ on congruent triangles (after the break)

Isosceles, equilateral and right triangles

4.5 (pp 230-233): 1-7all, 10-13all, 15, 21, 25, 30-32all
4.6 (pp 237-239): 1-7all, 13, 21, 25
4.7 (pp 243-245): 1-11odd, 17, 2126-28all

Take Home QUIZ (pp 239-240): 27-29all, 31-39all

Thursday July 8

Chapter Review of Chapter 4

Chapter Review (pp 249-251): 1-9odd, 10-13all, 15-39odd

Chapter 4 TEST (after the break)

Triangles : midsegments

5.1 (pp 262-264): 1-19odd, 22-25all31, 33, 35, 39-45odd

Friday July 9

Triangles : bisectors, medians and altitudes

5.2 (pp 267-268): 1-4all, 7-15odd, 19-25odd, 28-30all, 41, 43
5.3 (pp 275-277): 1-15odd, 19-22all, 27-29all

QUIZ (pp 278-279): 37-39all, 42-46all, plus (Checkpoint Quiz): 1-6all

Chapter 5 Review (pp 297-298): 1-4all, 7-10all, 11-22all

Sample Final Exam distributed

Monday July 12

Chapter 5 Review

Questions from chapter 5 review

Chapter 5 TEST (before the break)

Sample Final Exam practice (after the break)

Sample Final Exam should be completed for class on Tuesday

Tuesday July 13

Review of Sample Final Exam

Sample Final Exam completion will be the last assignment due for Term 1

FINAL EXAM for Term 1

Wednesday July 14 MID TERMS BREAK : No summer school today

References:

Math League Geometry Online: http://www.mathleague.com/help/geometry/geometry.htm

Geometry Gloassary: http://library.thinkquest.org/2647/geometry/glossary.htm

Mrs. Dell's Geometry Units (with voice): http://mrsdell.org/geometry/

 

site updated 27 July 2010