Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to...

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Transcript of Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to...

Page 1: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.
Page 2: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.
Page 3: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Geometry:

• Study of shapes• Logic• Measurements

Page 4: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Course Descriptions:

A basic goal of Geometry is to expand the understanding of mathematical concepts and to improve logical thinking skills. Students will be presented with concepts, strategies and guidance in order to improve on their own decision making ability. These concepts will be reinforced through exercises in order to gain mastery and provoke critical thinking.

Page 5: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

This is not your typical math course! It is probably going to be the first time you study for math. There is a ton of vocabulary to learn as well!

Page 6: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Prerequisites:

A passing grade in Algebra I

Page 7: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Text(s):

Geometry: McDougal Littell

Page 8: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Supplementary Materials:

• Scientific calculatorTI-30X IIS (Texas Instruments)

Page 9: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Supplementary Materials:

• Geometry tool kit – protractor, compass, ruler (available at any office supply store or Target) (Required by Monday, August 14th)

Page 10: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Classroom Rules/Behavioral Expectations:

• Respect yourself, others and the teacher

• Do not disrupt the learning process of others

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• Be prepared for each class (BRING necessary materials)

Textbook

Pencil and paper

Calculator, protractor, compass, and straightedge

Classroom Rules/Behavioral Expectations:

Page 12: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Classroom Rules/Behavioral Expectations:

• Be on time.

• No eating or drinking in the classroom, except water

• Assignments will be collected on test day

• Late assignments will not be accepted

Page 13: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

• IF YOU ARE ABSENTYou may not make up the daily quiz

It is your responsibility to get the notes and make-up work complete before test day

If you are absent on test day, you must take the test BEFORE the next chapter test.

Make-up work will not be permitted for unexcused absences.

Classroom Rules/Behavioral Expectations:

Page 14: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Course Outline/Topics Covered:

Course objectives encompass GUHSD mathematics standards• An overview of Geometry• Reasoning• Lines in a plane• Congruent triangles and properties of triangles• Polygons• Transformations• Similarity• Right triangles• Circles• Planar measurements• Space measurements

Page 15: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Grading and Assessment Policy:

100% - 90% = A 89% - 80% = B 79% - 73% = C 72% - 68% = C-

67% = DLess than 67% = F

Page 16: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Breakdown of Grading Categories

40% = Test 10% = Daily Quizzes 30% = Assignments/Projects20% = Final Exam

Page 17: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Classroom Rules/Behavioral Expectations:

The math department holds tutorials Monday & Thursday from 2:45 – 4:45 pm. See poster in room for locations.

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Please see me to make an appointment if you need extra help.

Charlotte Matthews(619)660-3668

[email protected]

Page 19: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Grades are accessible through the Steele Canyon High School website. Select Staff – Directory then select teacher’s name. Be prepared to enter your student’s ID #. Grades are updated on a weekly basis.

Page 20: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.
Page 21: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Resources:

http://www.classzone.com/cz/index.htmwww.classzone.com

www.schscougars.orghttp://www.schscougars.org/

Page 22: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Things about me:

• I love music

• I work a lot!

• I am working on my Masters

• I teach AP Statistics, Geometry Support, Geometry, and Algebra IIC.

Page 23: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Things about the Classroom:

• I will be using PowerPoints almost daily

• You will be working in groups

• Calendar and agenda are in the back

• Grade sheets will be sent home after each test

• If you get an ‘A’ on a test, your name goes up on the superstars board!

Page 24: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Things about the Classroom:

• I will only answer 2 HW questions

• There will be notes and HW daily

• There will be daily quizzes

• There will be extra credit

Page 25: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Bathroom Rules:

• You cannot go for the first 15 minutes of class or during notes

• Write your name on the clipboard and take the pass

• If someone is gone you cannot go

• When you come back put the pass back

Page 26: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Things NOT to do:

• Your phone is not a calculator

• Ipods should not be used!

• Cheat

• Say “I will do this homework later”

• Go through my things without permission

• Say “I don’t want to sit here”

• Put your head down on your desk

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New Seats!

Page 28: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

1.1 – Identify Points, Lines, and Planes

Page 29: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Point

A finite space represented by a dot.

0 dimensions

AA

Point A

pt. A

One capital letter

Page 30: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Line

Through any two points, there is one line. Extends without end.

1 dimension

A B C

mAB BA

BC

line m

AC

CB

CA

Two capital letters

Page 31: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Line Segment

Has two endpoints. Doesn’t go on forever.

AB

CAB BA

BC CB

AC CA

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Term Definition Picture Notation

Ray

S

C

AB

Initial point, then continues in one direction SC

BA

First letter is initial point

Page 33: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Opposite Rays

Two rays with the same initial point, but go in opposite directions

AB

CBA

BC

and

Page 34: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Collinear

Points

Points that lie on the same line

AB

C Pts A, B, and C

Page 35: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Plane

To name a plane choose 3 noncollinear points that lie on the plane.

Or use a single letter near the corner of the diagram.

Plane XYZ

Plane A2 dimensions

Extends in all directions, forming a surface

Y

Z

AX

Page 36: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Coplanar

Points

Y

Z

AX

Pts. X, Y, and Z

Points that lie on the same plane

Page 37: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

Term Definition Picture Notation

Intersection

Set of points 2 or more figures have in common

DE

BF

AB

and

Segments

Pt. B

Plane CGE and Plane DBF

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1. Give two other names for .AB

BA

line h

Page 39: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

2. Name three points that are collinear

C, B, and D

Page 40: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

3. Give another name for plane F.

Plane EBA

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Name a point that is not coplanar with A, B, and E.

pt. C

pt. D

Page 42: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

5. Give another name for .CD

DC

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6. Name three rays with endpoint B.

BA

BD

BC

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7. Name a pair of opposite rays.

BD BCand

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8. Give another name for .CD

CB

Page 46: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

9. Sketch the figure described.a. Three points that are collinear.

AB

C

Page 47: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

9. Sketch the figure described.b. Four points that are coplanar.

A B

CD

Page 48: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

9. Sketch the figure described.c. Three lines that intersect at one point.

FC

E

BA

D

G

Page 49: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

9. Sketch the figure described.d. A line and a plane that intersect at one point.

B

A

C

Page 50: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

10. Graph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.

a. 2x

0 1 2 3 4-1-2-3-4

ray

Page 51: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

10. Graph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.

b.

0 1 2 3 4-1-2-3-4

segment

31 x

Page 52: Geometry: Study of shapes Logic Measurements Course Descriptions: A basic goal of Geometry is to expand the understanding of mathematical concepts.

10. Graph the inequality on a number line. Tell whether the graph is a segment, a ray or rays, a point, or a line.

c.

0 1 2 3 4-1-2-3-4

line

1or 0 xx