Download GeometrySummerSyllabus

Geometry
Summer School
Instructor: Ms. Seifullah
Room: 328
E-mail: [email protected]
COURSE GOALS
Course Description:
Geometry means “earth measurement”. The more formal study of geometry today is based on interest
and logical reasoning and relationships rather than in measurement alone. In this course we will use
technology and relevant projects to develop an understanding of geometry, how it relates to our
environment and is used in our world. An understanding of geometry is beneficial for everyone, not just
those interested in careers in math.
Big Ideas:
To progress from observers of mathematics to developing rigorous and deductive reasoning as
players in the game of math.
Essential Questions:
1.
2.
3.
4.
How will I be able to use geometry in everyday life?
How are mathematical formulas derived?
How do I prove mathematical concepts?
What are the relationships between geometric figures?
Knowledge Outcomes:
1.
2.
Scholars will increase mathematical language.
Scholars will learn various problem solving methods.
Performance Outcomes & Skills:
Scholars will be able to construct formal and informal proofs.
Scholars will be able to construct geometric objects.
Scholars will be able to show correlation between geometric figures.
Recommended Internet Resources:
1.
2.
3.
http://mathopenref.com/ links to all topics with definitions and animated examples
desmos.com - online graphing tool
geogebra - graphing, constructing tool
http://www.khanacademy.com – video tutorial, good for review
http://www.mathisfun.com – detailed notes with examples and embedded graphing tool
http://www.regentsprep.org – fun to look at, covers Regents topics
http://purplemath.com – detailed notes and examples
http://www.jmap.org – has every regents question ever given and answers by topic or test
Topics to be covered:
*What students should already know or will be covered is indicated by 8th grade, Algebra 1 (A1)
8/A1
Graphing Linear
8/A1
Writing Linear (slope-intercept and point slope)
8/A1
Identifying Points on a Line
A1
Parallel and Perpendicular Lines
A1
Systems of Equations
8
Measuring Angles
8
Complementary, Supplementary
8
Vertical Angles
8/A1
Pythagorean Theorem
8
Classifying Polygons
8/A1
Perimeter
8/A1
Circumference
A1
Area of Circles
A1
Surface Area
Geometry Topics in order
Tools of Geometry
Lines, rays, line segments
Planes
Angles and Triangle Relationships
Parallel Lines and Transversals
Interior and Exterior Angles
Angle and Segment Addition Postulate
Coordinate Geometry
The Coordinate Plane
Midpoint/ Mid-segments/ Side Splitter Theorem
Distance Formula (through Pythagorean Theorem)
Slope
Equation and graphing of a Line
Graphing a system of equations
Parallel and Perpendicular lines
Equation and graphing of a circle
Locus
Constructions (mathopenref.com)
30-60-90 Triangle; Angle bisector; Perpendicular bisector; Equilateral Triangle…
Solid Geometry
Area and Surface Area
Volume
Logic
Conditional, Inverse, Converse, Biconditional, Contrapositive Statements; Truth Value
Triangles
Altitudes and Medians (orthocenter, incenter, circumcenter)
Isosceles Triangle Theorem
Exterior Angle Theorem
Triangle Inequality Theorem
Angle Side Relationship
Triangle Congruency
Similarity Proofs
Triangle Proofs
Polygons
Classifying, Interior and Exterior Angles
Quadrilaterals
Properties of Rhombus, Kite, Square, Rectangle, Parellelograms, Trapezoids
Quadrilateral Proofs
Circles
Segments Intercepted by Circle (Arcs, Chords, Tangents, Secants)
Circle Proofs
Transformations
(Symmetry, Rotations, Reflections, Translations, Dilations, Composition)
COURSE REQUIREMENTS
You are required to complete a number of assignments… The assignments described below are those
that earn points toward your final grade.
ASSIGNMENT
Tests/Quiz*
PERCENT
25%
GRADING SCALE
A+
97 - 100
A
93 - 96
A-
90 - 92
B+ 87 - 89
B
83 - 86
B-
80 - 82
C+ 77 - 79
Projects
25%
Class Learning
25%
Homework
10%
Journaling
10%
Portfolio
5%
C
75 - 76
C-
70 - 74
D
69 - 60
F
Below 60
ASSESSMENT
The following are the grade percentage distribution and the rubric used to grade your in class
performance:
1. Attendance, Preparation, Participation, and Disposition (100 points = 20%)
EXCELLENT
GOOD
FAIR
You always actively participate You miss one class and make You miss two classes and
in group and class
it up with a paper.
make them up with two
discussions.
papers.
UNACCEPTABLE
You miss more than three classes.
You seldom or never participate in
You often participate in group
class and group discussions.
You demonstrate great effort and class discussions.
You sometimes participate in
and enthusiasm in the course.
group and class discussions.
You demonstrate adequate
effort and enthusiasm in the
course.
You demonstrate little or no effort
and enthusiasm in the course.
You demonstrate some effort
and enthusiasm in the
course.
* The lowest Quiz grade will be dropped
Tools:
TI-84 calculator
compass
protractor
ruler
pencils
black pens
eraser
one subject notebook for class work and homework
one pack of graph paper
folder