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Geometry +
Ms. Hoagland
Name:______________
Date: August 21, 2013
Classroom Guidelines, Grading and Syllabus
Instructor:
Ms. Jeanel Hoagland
Phone:
(602) 955-4455
Email:
[email protected]
Room:
327
Office Hours:
I am free 1st period on Day 2 & 6, 2nd period on Day 4 & 7, 3rd period on Day 2 & 5 and
th
4 period on Day 3 & 7. I am also in my room by 7:15am everyday. If you need extra help, it would be
good to let me know in advance that you are coming in, so I can make sure I’m in my room.
Text:
Required Supplies:
McDougal Littell Geometry
TI-83+ or 84+ graphing calculator
3-ring binder or notebook with folders, remove “fringes”
plenty of paper
a writing implement, ruler (cm & in), protractor, & compass
You are expected to bring all materials (including your textbook) to class each day.
COURSE DESCRIPTION:
Geometry+ is intended for students of strong ability and dedicated interest in mathematics. Students will
study deductive systems, proofs, and constructions as a foundation for further study, then move on to right
triangles, similar figures, calculations of areas and volumes, symmetry and transformations, and properties
of circles. Students will explore more challenging problems and in several areas the coverage will be more
thorough and include more depth than the regular course, such as further work with transformations,
proofs, and trigonometry. Students develop their understanding of concepts through the use of computer
geometry software and straightedge and compass constructions. Throughout the course, students make
extensive use of coordinate representations to support the retention of skills from Algebra I.
Prerequisite: Algebra I B+ or equivalent with a grade of A- or better and approval of the mathematics
department.
GUIDELINES:
 Respect governs this classroom
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Respect for each other, ourselves, and the classroom
Respect for any and all guests
 Daily classroom timetable:
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First – get homework out promptly, I will come around and check it. Turn in any
assignments due.
Second – go over homework problems
 Ask questions during this time period.
Third – learn new material, go to computer lab, or other activity
 Ask questions when you have them!
Fourth – Take any scheduled quiz, or work on in-class assignments and practice.
 Responsibilities:
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Being present and prepared for class
 Please be present and on time for each class.
 If you are absent, try to keep up with the assignments so you are prepared when
you return to school. Ask me for notes.
 Three unexcused tardies will result in detention as stated in the student
handbook.
Listening respectfully to each other
Asking appropriate questions
Seeking assistance when necessary
Geometry +
Ms. Hoagland
Name:______________
Date: August 21, 2013
Classroom Guidelines, Grading and Syllabus
 Homework Assignments:
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For each lesson you are to complete the assigned work.
Assignments are given at the start of each chapter, but they may change.
It is important to write down and seriously attempt all assigned problems.
The efforts you make to understand and solve challenging problems, even if you do not
reach the correct solution will develop and define your problem solving ability.
When completing homework, always
 Write down the original problem
 Define the variable(s) on word problems
 Show all work
 Circle the final answer or the final step reached
 No credit will be given on problem sets if these standards are not met!
 Grading – subject to change
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Homework: 10%
 Quiz Average: 15%
 GSP Average: 10%
Problem Sets: 15%
 Test Average: 50%
Do I offer extra credit? Usually on tests, there will be one extra credit question, but not
always. Math league contests are one sure way to get E.C. Every question right is a
point given on the next test.
If projects are assigned, they will usually be considered under the quiz average.
Refer to the Student Handbook for grading scales and information about semester exams.
 Talk to me!
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My sense of humor – some get it, some don’t. Please don’t be offended!!!
I need feedback just like you do – please see me in person, or send an email to let me
know how things are going, if you have concerns, etc.
SYLLABUS:
Learning Objectives:
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Make and investigate mathematical conjectures.
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Develop and evaluate mathematical arguments and proofs.
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Build new mathematical knowledge through problem solving.
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Use visualization, spatial reasoning, and geometric modeling to solve problems.
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Communicate their mathematical thinking coherently and clearly to peers, teachers and others.
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Analyze characteristics and properties of two and three-dimensional geometric shapes and develop
mathematical arguments about geometric relationship.
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Specify locations and describe spatial relationships using coordinate geometry and other
representational systems.
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Apply appropriate techniques, tools and formulas to determine measurements.
Geometry +
Ms. Hoagland
Name:______________
Date: August 21, 2013
Classroom Guidelines, Grading and Syllabus
Topical Outline Geometry+
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Points, Lines, Planes and Angles
o Use undefined terms.
o Understand the language of Geometry; definitions, postulates and theorems
o Use symbols, name points, lines, angles and find appropriate measurements
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Deductive Reasoning
o Recognize conditional statements, their converses and apply counterexamples
o Use properties from algebra and congruence in two-column proofs
o Apply definitions and theorems about perpendicular lines, supplementary &
complementary angles
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Parallel Lines and Planes
o Identify intersecting, parallel and skew lines and planes
o Classify triangles according to sides and angles
o Recognize and name convex polygons
o Understand inductive reasoning
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Congruent Triangles
o Identify corresponding parts of congruent figures
o Prove triangles congruent (SAS, ASA, SSS, AAS, HL)
o Identify and use medians, altitudes and perpendicular bisectors in triangles
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Quadrilaterals
o Apply properties of parallelograms
o Prove quadrilaterals are “special”
o Apply properties of trapezoids
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Inequalities in Geometry
o Apply properties of inequality to positive numbers, lengths of segments and measures of
angles
o State the contrapositive and inverse of conditional statements
o Write indirect proofs
o Apply inequality theorems for one and two triangles
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Similar Polygons
o Simplify ratios and solve proportions
o Prove triangles are similar (AA, SAS, SSS)
o Apply Triangle Proportionality and Triangle Angle-Bisector Theorems
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Right Triangles
o Determine the geometric mean between two numbers
o State and apply the Pythagorean Theorem
o Determine lengths of the sides of 30-60-90 and 45-45-90 triangles
o Solve right triangles using sine, cosine and tangent ratios
Geometry +
Ms. Hoagland
Name:______________
Date: August 21, 2013
Classroom Guidelines, Grading and Syllabus
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Circles
o Define a circle and terms related to circles
o Recognize inscribed polygons and circumscribed circles
o Apply properties of arcs, angles, chords, secants and tangents.
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Constructions and Loci
o Perform constructions using straightedge & compass
o Understand concurrent lines and their applications
o Describe the locus that satisfies given conditions
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Areas of Plane Figures
o Know and use formulas for triangles, special quadrilaterals, circles and regular polygons
o Know and use formulas for arc length and area of sectors of a circle
o Understand and apply the relationships between scale factors, perimeters and areas of
similar figure
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Areas and Volumes of Solids
o Identify the parts of prisms, pyramids, cylinders, cones and spheres
o Find lateral area, total area and volumes of prisms, pyramids, cylinders, cones and
spheres
o State and apply properties of similar solids