Download Geometry Syllabus - Mt Pleasant Area School District

MOUNT PLEASANT AREA
COURSE SYLLABUS
Title: Geometry
Department: Mathematics
Grades Taught: 10, 11, 12
Course Description:
Geometry is a course designed for the academic student that covers theory as well as
application. Algebra 1 skills are reinforced with application involving both linear and quadratic
relationships. In Geometry students develop an understanding of the structure and concepts of
Euclidean plane geometry, using algebra to interpret and apply geometric relationships.
This course makes geometry accessible to a wide range of students without sacrificing content
and challenge for students in preparation for subsequent mathematics courses and
standardized testing. Throughout this course students establish the tools of geometry, methods
of reasoning, use various types of measurement, complete constructions, and use both handson and technology instruments. Properties and applications of lines, triangles, quadrilaterals,
solid figures, similarity, right triangle trigonometry, and circles are some of the topics covered in
this comprehensive course.
Prerequisites: Students must have completed Algebra1 and 2 successfully
Length of Course: 1 year
Credit: 1
Course Standards:
This course is designed to prepare each student for the Keystone Geometry Test that was
projected to be given at the end of the Geometry course and adhere to the Pennsylvania state
standards for Geometry.
Learning Objectives:
 Tools of Geometry
o Points, Lines, and Planes
o Linear Measure
o Distance and Midpoints
o Angle Measure
o Angle Relationships
o Two-Dimensional Figures
o Three-Dimensional Figures
 Reasoning and Proof
o Algebraic Proof
o Proving Segment Relationships
o Proving Angle Relationships
 Parallel and Perpendicular Lines
o Parallel Lines and Transversals
o Angles and Parallel Lines
o Proving Lines Parallel
o Perpendiculars and Distance
Page 1 of 4
MOUNT PLEASANT AREA
COURSE SYLLABUS








Congruent Triangles
o Classifying Triangles
o Angles of Triangles
o Congruent Triangles
o Proving Triangles Congruent
o Isosceles and Equilateral Triangles
Relationships in Triangles
o Bisectors of Triangles
o Medians and Altitudes of Triangles
o Inequalities in One Triangle
o Triangle Inequality
o Inequalities in Two Triangles
Quadrilaterals
o Angles of Polygons
o Parallelograms
o Proving Parallelograms
o Rectangles
o Rhombi and Squares
o Trapezoids
Proportions and Similarity
o Ratio and Proportions
o Similar Polygons
o Similar Triangles
o Parallel Lines and Proportional Parts
o Parts of Similar Triangles
o Scale Drawings and Models
Right Triangles and Trigonometry
o Geometric Mean
o The Pythagorean Theorem and Its Converse
o Special Right Triangles
o Trigonometry
o Angles of Elevation and Depression
Symmetry
Circles
o Circles and Circumference
o Measuring Angles and Arcs
o Arcs and Chords
o Inscribed Angles
o Tangents
o Secants, Tangents, and Angle Measures
o Special Segments in a Circle
Areas of Polygons and circles
Page 2 of 4
MOUNT PLEASANT AREA
COURSE SYLLABUS
o Areas of Parallelograms and Triangles
o Areas of Trapezoids, Rhombi, and Kites
o Areas of Circles and Sectors
o Areas of Regular Polygons and Composite figures
o Areas of Similar figures
 Surface Areas and Volumes
o Representations of Three-Dimensional Figures
o Surface Areas of Prisms and Cylinders
o Surface Areas of Pyramids and Cones
o Volumes of Prisms and Cylinders
o Volumes of Pyramids and Cones
 Surface Areas and Volumes of Spheres
Expectations:
 Students should expect to discover, learn and apply Geometry using real world
examples. Students will make connections between previous mathematics courses and
plane geometry. When this course is successfully complete, students will move on to
Pre-Calculus.
Texts:
 Glencoe McGraw-Hill
Geometry
Copyright @ 2010
Course Outline/Activities/Assessments
Throughout the course, students will be assessed in the following areas:
 Exit Tickets
 Way Back Wednesday – weekly quizzes
 Lesson quizzes
 In class exams, take home assessments, and online exams
 Computer projects (Geometer’s Sketchpad)
Classroom Expectations (attendance & behavior):
 Students are required to report to class on time with required materials.
 Students are to follow the school policies for attendance and behavior.
 Students are responsible for all missed notes, assignments, and tests.
 Students are expected to keep an organized notebook with a ruler and a protractor.
 Students are required to participate positively during class on a daily basis.
Homework Procedure:
 Homework must be totally completed by the beginning of the class which it is due.
 Homework must be done in pencil with a straight edge when necessary.
Grading Scale: (As per school policy)
A 93-100
B 84-92
C 75-83
Page 3 of 4
MOUNT PLEASANT AREA
COURSE SYLLABUS
D 65-74
F 64-0
Contact Information:
Megan Pierce
724-547-4100 ext 1307
[email protected]
Page 4 of 4