# Period 6 – Geometry – Spring 2019

## Basic Course Information

Course Name: Geometry
Semester: Spring 2019
Location: HS Room 218
Time: 12:50 PM-1:45 PM

### Course Materials

Course Plan: Go Here
Textbook: Prentice Hall Geometry: Foundations Series, Pearson (2011) – ISBN: 978-0-7854-6940-7

(Students will be issued a copy of the text and will be responsible for it for the semester)

Student Provided Materials:

• >Calculator (must have square root, cube root, sin, cos, tan)Ti-84 is recommended and will be used in Algebra II, but is not required for this course. Cell phones are not allowed to be used during class, even as calculators.
• A protractor, straightedge/ruler, and a compass
• Pencils
• Dry erase markers and eraser (2-3 markers)
• Lined paper (can be in a notebook/binder-whatever you need to stay organized)
• Colored pencils/pens/highlighters may be helpful
• Facial Tissues (Kleenex, Scotties, Puffs, etc.) for the classroom

### Course Description

Geometry begins the exploration of math as an art. In this course, students will learn to identify and construct various geometric figures and prove theorems associated with them.  Principles of reasoning will be learned to aid in making conjectures and proving theorems, as well as applications of those theorems in a Euclidean geometry setting.  To allow students to begin to appreciate some of the subtle beauties of mathematics, the course will introduce concepts by exploratory means where possible.

### Course Learning Outcomes

1. Tools of Geometry (Ch 1): To understand basic terms and postulates of geometry; to find and compare lengths of segments and measures of angles; to identify special angle pairs and use their relationships to find angle measures; to make basic constructions using a straightedge and compass; to use the midpoint and distance formulas in the coordinate plane; to find the perimeter and area of basic shapes
2. Reasoning and Proof (Ch 2): To use inductive reasoning to make conjectures; to recognize conditional statements and their parts; to write converses, inverses, contrapositives, biconditionals; to use the Law of Detachment and the Law of Syllogism; to connect reasoning in algebra and geometry; to prove and apply theorems about angles
3. Parallel and Perpendicular Lines (Ch 3): To identify relationships between figures in space and relate parallel and perpendicular lines; to identify angles formed by two lines and a transversal; to prove theorems about parallel lines and use them to find angle measures; to determine whether two lines are parallel; to prove the Triangle-Angle-Sum theorem and use it to find measures of angles in triangles; to construct parallel and perpendicular lines; to graph and write linear equations and relate slope to parallel and perpendicular lines
4. Congruent Triangles (Ch 4): To recognize congruent figures and their corresponding parts; to prove two triangles congruent using the SSS, SAS, ASA, AAS, and HL conditions; to use triangle congruence to prove that parts of two triangles are congruent; to use and apply properties of isosceles and equilateral triangles; to identify congruent overlapping triangles; to prove two triangles congruent using other congruent triangles
5. Similarity (Ch 7): To write ratios and solve proportions; to identify similar polygons and use the AA~ postulate and the SAS~ and SSS~ theorems; to use similarity to find indirect measurements; to find and use relationships in similar right triangles
6. Right Triangles and Trigonometry (Ch 8): To use the Pythagorean theorem and its converse; to use the properties of 45-45-90 and 30-60-90 triangles; to use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles
7. Polygons and Quadrilaterals (Ch 6): To find the sum of the measures of the interior and exterior angles of a polygon; to use relationships among sides, angles, and diagonals of parallelograms; to define and classify quadrilaterals; to use properties of diagonals of rhombuses, rectangles, trapezoids, and kites; to classify polygons and prove theorems using figures in the coordinate plane
8. Area (Ch 10): To find the area of triangles, quadrilaterals, and regular polygons; to find the perimeters and areas of similar polygons; to find the areas of regular polygons and triangles using trigonometry; to find the measures of central angles and arcs; to find circumference and arc length; to find the areas of circles and sectors
9. Surface Area and Volume (Ch 11): To recognize polyhedra and their parts; to visualize cross sections of space figures; to find the surface area of a prism, cylinder, pyramid and cone; to find the volume of a prism, cylinder, pyramid and cone; to find the surface area and volume of a sphere; to compare and find the areas and volumes of similar solids
10. Transformations (Ch 9): To perform translations, reflections, and rotations of points and polygons in the coordinate plan; to recognize reflectional and rotational symmetry

## Course Overview

 Activities Contribution to Overall Grade Effort/Homework 15% Quizzes 20% Test 1 15% Test 2 15% Test 3 15% Final Exam 20% TOTAL 100%

Effort:

Includes attendance, promptness, preparedness, in-class assignments/warm-ups, practicing in class with whiteboards, discussing, actively listening/participating, etc.

Homework:

Homework will generally be assigned daily because practice is important in math and class time is not enough. Homework is graded for completion because, in this course, the primary purpose of HW is to practice previously covered concepts AND to build problem solving skills by struggling with new variations of problems.

Homework Expectations:

• HW must be neat and orderly or no credit will be given
• HW must be clearly labeled with the assignment at the top
• The problems must be labeled and in numerical order
• Adequate work for each question must be shown

#### Quizzes:

The quizzes will generally be given in class and cover a single chapter. Time given for the quizzes will vary, but will be less than the amount of time given for Tests.

#### Tests:

The tests will be given in class and will generally cover 3 or more chapters.

Test Replacement Policy And Requirements:

Students may qualify for grade replacement on their lowest-scoring unit exam. To be eligible, the student must complete the following requirements.

• Achieve a final homework average of 90% or better
• Complete test corrections with 90% or better accuracy on his/her lowest-scoring unit exam

Once eligible, the student’s lowest-scoring unit exam will be replaced with the score from the final exam. Final exams are given in two parts. The part that corresponds to the lowest-scoring unit exam will be the replacement grade. If the final exam score is lower than the lowest-scoring unit exam, the original unit exam score will stand. Individual instructors reserve the right to include additional requirements for grade replacement.

Requirements:

1. On a separate sheet of paper recopy the problem you missed.
2. Rework the problem showing ALL steps.
3. Write a sentence explaining what your original error was.
4. Turn in corrections stapled to the top of your test.
5. Remember your corrections must be 90% accurate for the test to be eligible for grade replacement with the final.

#### Final Exam:

The Final Exam will be given in two parts. Students will complete the parts on two separate days.

Students are expected to regularly check grades on Infinite Campus and address any discrepancies or questions within a week of the grade posting date.

Passing grades must be a C or higher

 Letter Grade Range A 90 – 100% B 80 – 89% C 70 – 79% F 69% and lower

### Late Policy

Homework Late Policy:

• Up to 24 hours late: 50% of original points
• Over 24 hours late: 0 points

### Absence and Tardy Policy

As per the CECFC Handbook: “All CECFC students are expected to attend school daily and to arrive punctually. Frequent absences undermine the sequential and incremental nature of the CECFC curriculum for the student; in addition, they place burdens on the teachers who must arrange for makeup work.  Late arrivals disrupt the classroom.”

Students are permitted 5 unexcused absences per course, per semester penalty free, if they are not “skipped” classes. More than 5 unexcused absences will result in a course grade reduction of 5%. Each additional unexcused absence will incur an additional 1% grade decrease.

Students are permitted 2 tardies per course, per semester penalty free. Upon incurring a 3rd tardy, the late instances will turn into an unexcused absence. Every 3 tardies afterward will count as an unexcused absence at the end of the semester and calculate into the grade deduction mentioned above.

Any absent student (excused or unexcused) should check the academic website to find out what they missed and what was assigned. The HW will be posted on my staff page and the student should read through the section of the textbook that precedes the HW assignment. They should then try to complete the HW (using online resources could be helpful) and hand it in when they return to school. Whatever was missed is due when the student returns to school. Effort/Participation points will not be awarded during unexcused absences unless the student follows the steps above.

In certain special situations, extra time or other arrangements may be made by the instructor

A student must contact the instructor if they are going to miss a quiz or exam.

If a student is absent on the day of a quiz/test, the student is responsible for contacting the instructor and scheduling a time to make up the quiz/test.

## General Course Information

### Culture of Responsibility and Workforce Readiness

Students should read and be familiar with these school policies found on the CECFC website. Behavior contrary to these expectations will be dealt with through my classroom conduct plan outlined below.

This class is the pre-requisite for college courses. Students are expected to conduct themselves in a manner that shows this college readiness in the following ways:

• The student communicates questions or concerns with the teacher directly (in person or via email) and not through a third party such as a parent.
• The student notifies the teacher of absences and communicates needs or confusion over make-up work
• The student consistently engages respectfully and professionally in the classroom with all individuals.

Students are expected to conduct themselves ethically in all courses and assume full responsibility for the content and integrity of the academic work they submit. The guiding principle of academic integrity will be that a student’s submitted work, examinations, reports, discussions, and projects must be that of the student’s own work and unique to the course. Consequences will follow any of the following actions:

• Represent the work of others as their own (this includes copying material from the Internet for discussion postings or other assignments without proper citation)
• Use or obtain unauthorized assistance in any academic work.
• Give unauthorized assistance to other students.
• Modify, without instructor approval, an examination, paper, record, or report for the purpose of obtaining additional credit.
• Misrepresent the content of submitted work.

Collaboration. Unless otherwise instructed, all work submitted is to be done individually by the student. This means you should not be working in pairs or in a group to complete assignments or take quizzes and other assessments unless specifically asked to do so by your instructor.

Plagiarism / Dual Submission. Plagiarism, whether intentional or accidental, is academic dishonesty and may incur disciplinary action ranging from receiving a zero on an assignment or failing a course to more severe consequences. Plagiarism means

• Using someone else’s ideas and not correctly citing that use. This means that if you put someone else’s work into your own words, put it in your work, and do not correctly document it, the idea is plagiarized.
• Using someone else’s words without quotation marks and not correctly citing that use.
• Using someone else’s images or other works (such as from the Internet) without correctly citing that use.
• Submitting work that has been turned in for credit in another class or at another institution unless specifically permitted by your instructor.

### Tutoring

Tutoring is available through the Student Success Center and highly encouraged for students at all levels needing or wanting to improve. Visit the Students Success Center in person or on the CEC website to make an appointment.

### Other

#### Restroom Policy:

Students are to use the restroom during passing period. Students who ask to leave during class will either lose effort points or be told they cannot go.

#### Audio/Video Recording:

Except where a student is entitled to make an audio or video recording as an accommodation determined through the student’s interactive process with disability services, a student may not record lectures, classroom discussions, or classroom activities unless written permission from the class instructor has been obtained and all students in the class, as well as guest speakers, have been informed that audio/video recording may occur.

### Course Plan

HW: Construct perpendicular lines, bisect line, same length line, and parallel lines using protractor and compass.

Week
Dates
Topics
Homework
Week 0
01/03 – 01/4
Syllabus, tutor policy, Algebra Review
HW: Absence and Tardy Policy Signature on IC
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1-2: Points, lines, planes
page 17: 1, 5, 11-14 36
Week 1
01/07 – 01/11
1-3: Segment lengths
HW (24): 12-14, 33, 34
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1-4: Angle Measures
HW (52): 1, 17-22
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1-5: Angle Pairs
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1-7 Part 1: Midpoint & Distance
HW Part 1 (59): 1, 2, 5, 9, 12, 22, 23
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1-7 Part 2:
HW: Page 62: 1-3, 15, 19, 21, 23
Week 2
01/14 – 01/18
1-8: Perimeter, Circumference, Area
HW Part 1 (70): 1-7, 10-12, 17
HW Part 2 (75): 5-11, 18, 21
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QUIZ: Chapter 1
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2-1: Patterns & Inductive Reasoning
HW (93): 1-3,5,7, 19,22,30,31
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2-2: Conditional Statements
HW Part 1 (99): 1,4,5,14-20,25-28
HW Part 2 (103): 1,2,4,8,9,15-18
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2-3: Biconditionals
HW (108): 2,3,9,11,13,15, 17,24,27,41
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2-4: Deductive Reasoning
HW: Page 117: 7, 9, 13, 18, 25, 26, 34-37
???? Finish Worksheets 2-3 & 2-4 ????
Week 3
01/22 – 01/25
Martin Luther King, Junior’s, Birthday
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2-5: Reasoning in Alg. & Geom.
HW (124): 1, 5, 7, 13, 24, 29, 31-34
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2-6: Proving angles congruent
HW (132): 1-3, 7, 8, 12
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Review
On your own (141) Chapter 2 Test: 1-21
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QUIZ: Chapter 2
Week 4
01/28 – 02/01
3-1: Lines and angles
HW (152): 1-21
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3-2: Properties of Parallel Lines
HW (161: 1-4,14,15, 17
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3-3: Proving Lines Parallel
HW (169): 1, 2, 4, 7, 9-20
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3-4: Parallel & Perpendicular Lines
HW (176): 1, 6, 7, 9, 15
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3-5: Parallel Lines & Triangles
HW (184): 1-7, 10-13, 16-18, 21-24, 30-32
Week 5
02/04 – 02/08
3-7: Equations of Lines
HW Part 1 (211): 1-4, 11-25 odd
HW Part 2 (211): 5-11 odd, 15, 17
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3-8: Slopes of Para & Perp Lines
3-8 (216): 1, 3, 5, 9, 12, 15, 17, 21
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3-6 & 1-6: Constructions
Optional HW: 3-6 (198): 1, 11, 12 and 1-6 (52): 1, 11, 12, 20
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Ch 3 Test Review Part B (223): 1-21 odd
Ch 3 Cumulative Test Prep (224): Vocabulary Builder, 1-25 odd
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TEST: Ch 1-3
Week 6
02/11 – 02/15
4-1: Congruent Figures
HW (234): 1-14, 25-27, 33
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4-2: Triangle Congruence
HW (242): 1-7, 9-14, 16, 17, 20, 22-24, 26, 27
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4-3: Triangle Congruence
HW Part 1 (248): 1-3, 7, 8, 13
HW Part 2 (252): 3, 6-8, 11
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4-4: Using Corresponding Parts of Congruent Triangles
HW (262): 1-3, 8-12, 16-18
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4-5: Isosceles & Equilateral Triangles
HW (269): 1-13, 15-19, 26-28
Week 7
02/18 – 02/22
President’s Day (18 February)
No Homework for President’s Day
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4-6: Congruence in Right Tri
HW (277): 1-4, 8-10, 19
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4-7: Congruence in Overlapping Triangles
HW (284): 1, 5, 7-10, 15, 19, 24-25
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Review
HW Test Part A (258): 1-16, 18
HW Test Part B (293): 1-9, 13, 14
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QUIZ: Chapter 4
Week 8
02/25 – 03/01
7-1: Ratios and Proportions
HW (459): 1-3, 5-12, 16-27
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7-2: Similar Polygons
HW (468): 1-6, 9-16, 35, 36
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7-3: Proving Similar Triangles
HW (479): 1-3, 8-16, 20, 21
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7-4: Similar Right Triangles
HW (490): 13-18, 31-33
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HW Practice Only: Chapter Test (507): 1-12
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QUIZ: Chapter 7 (Take Home)
HW: Finish the Quiz
Week 9
03/04 – 03/08
8-1: Pythagorean Theorem. & Its Converse
HW Part 1 (517): 1-11, 19, 22
HW Part 2 (522): 1, 4-6, 20
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8-2: Special Right Triangles
HW (528): 1-6, 11, 21
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8-3: Trigonometry Basics
HW Part 1 (534): 1-6, 12-15
HW Part 2 (538): 1-8, 12, 14, 25
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Review
HW Chapter 4 Test Part B (293): 1-9, 13, 14
HW Chapter 7 Test (507): 1-12
HW Chapter 8 Mid-Chapter Quiz(541): 1-6, 10-20
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TEST: Ch 4,7,8 – Part I
Week 10
03/11 – 03/15
Re-Review Chapters 4, 7, & 8
HW Turn in HW assigned last Thursday
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TEST: Ch 4, 7, 8 – Part 2
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6-1 The Polygon Angle-Sum Theorems
HW (374):1-3, 17, 19
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6-2 Properties of Parallelograms
HW Part 1 (381): 1-4, 12, 15
HW Part 2 (385): 4, 13-14, 16
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6-3 Proving that a Quadrilateral is a Parallelogram
HW (392): 1-3, 6, 9-10, 13-14, 24, 29
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6-4 Properties of Rhombuses, Rectangles, and Squares
HW (400): 1-4, 8, 10-15, 19, 21-33
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6-5 Conditions for Rhombuses, Rectangles, and Squares
HW (407): 1-5, 9-12, 16, 17
Week SB
03/18 – 03/22
Spring Break
HW: No assigned homework, but stay sharp.
Bring back a picture of a flagpole or tree and you.
State its height, and tell how you calculated that.
Week 11
03/25 – 03/29
Chapter 6 Review for Part A
HW (419): 5-33
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6-6: Trapezoids and Kites
HW Part 1 (413): 1-4, 9-10, 20-24
HW Part 2 (416): 12, 16-21, 33-36
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6-7 Polygons in the Coordinate Plane
HW (428): 1, 2, 6, 9, 31
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6-8: Applying Coordinate Geometry
HW (434): 4, 6-9, 22-25
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Quiz Chapter 6
Week 12
04/01 – 04/05
10-1: Area of Parallelograms & Tri
HW (647): 1-17
10-2: Area of Trap, Rhom, Kites
HW Part 1(652): 1, 2, 6, 9
HW Part 2 (657): 1-4, 8, 12
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10-3: Area of Reg. Polygons
HW (664): 1-4, 13, 15, 19
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10-4: Perimeter & Area Similar Figures
HW (671): 1-4, 11-14
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10-5: Trigonometry and Area
HW (683): 1-6, 30, 32
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10-6: Circles and Arcs
HW (688): This section in schedule, but no HW
Chapter 10 Test Part A
HW (678): 1-21
Week 13
04/08 – 04/12
Class today
Chapter 10 Test Part B
HW (678): 5-14 – All do Monday (4/25)
Quiz 10 – Take Home
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11th grade students – SAT on paper
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9th grade students – PSAT on paper
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10th grade students – PSAT on paper
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11th grade students – CMAS on Computer
Week 14
04/15 – 04/19
11-2: S.A. Prisms/Cylinders
HW Part 1 (): 1-11
HW Part 2 (): 1, 2, 5-9
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11-3: S.A. Pyramids/Cones
HW Test Part A (759): 1-8, 16-20
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11-4 Volume of Prisms&Cylinders
HW (): 1-3, 8, 10, 14
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11-5 Volume of Pyramids/Cones
HW (): 1-3, 7, 11, 15, 19
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11-6 S.A. and Volume of Spheres
HW (): 1-3, 10, 11, 13, 25
11-7: Area/Volume Similar Solids
HW (): ???
Week 15
04/22 – 04/26
Review 6, 10, 11
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Test on Chapters 6, 10, 11
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9-1: Translations
HW (574): 1-3, 7-12, 14-19
9-2: Reflections
HW (583): 1-3, 8-10, 12, 15, 17, 18
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9-3: Rotations
HW (590): 2-4.21
9-4: Symmetry
HW (599): 1,5,10,14,18,24
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Chapter 9 Open Note Quiz
Week 16
04/29 – 05/03
Classwork to Finish
HW (422): 3-9
HW (447): 1, 2, 7, 9, 11
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HW (483): 3-8, 10-17
HW (507): 1-8, 1-4, 8-12, 14-17
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HW (563): 1-4, 8-12, 14-17
HW (635): 1-3, 8
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HW (678): 1-21
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HW (759): 1-8, 16-19
HW (795): 1-14
Week 17
05/06 – 05/10
Finals Week
Final Part 1
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Final Part 2
Week 18
05/13
Final Day of Class

I reserve the right to modify details in the Syllabus/Schedule. All changes will be announced either in class, in writing, or through email.