Download Geometry Syllabus 2011

GEOMETRY
Mathematics
Prince George’s County Public Schools
SY 2011-2012
Course Code: 343003, 343023, 343063
Prerequisites: Algebra 1
Credits: 1.0 Math, Merit
Geometry provides students with the skills outlined in the Maryland Core Learning Goals for Geometry. These skills include
using logic to develop arguments, working with the postulates and theorems of Euclidian geometry, applying rules for parallel
and perpendicular lines, identifying congruent and similar figures, classifying polygons, measuring angles and segments,
writing proofs of triangle congruence, drawing, constructing, and performing plane transformations.
INTRODUCTION:
Typically in a Math class, to understand the majority of the information it is necessary to continuously practice your skills. This
requires a tremendous amount of effort on the student’s part. Each student should expect to dedicate approximately 1 hour of
studying for every hour in class. Some hints for success in a Math class include: attending class daily, asking questions in
class, and thoroughly completing all the homework problems with detailed solutions as soon as possible after each class
session.
INSTRUCTOR INFORMATION:
Name: Dr. Rosalinda Dimamay
E-Mail: [email protected]
Planning: 2B
Phone: 301-449-4800 ext 257
CLASS INFORMATION:
COURSE NUMBER: GEOMETRY
CLASS MEETS: Every other day for 85 minutes
ROOM: 225
TEXT: Geometry, Prentice Hall
WEB SITE: www.phschool.com/math
CALCULATORS
The use of a calculator is required. While participants may use any graphing calculator, the instruction in the course requires
the use of scientific calculator with trigonometric functions. Knowledge and competence for use of graphing calculators will be
the sole responsibility of the student.
GRADING:
Your grade will be computed from the following categories: class work, homework, and assessment. The following weighted
average will be used to calculate your grade.
Category
Brief Description
Grade Percentage
CLASS WORK/
THIS INCLUDES ALL WORK COMPLETED IN THE CLASSROOM SETTING. INCLUDING:
NOTEBOOKS , WARM-UPS, VOCABULARYWRITTEN RESPONSES TO CONSTRUCTED
RESPONSES (BCR/ECR) WHERE APPLICABLE, GROUP DISCUSSION, ACTIVE PARTICIPATION IN
MATH PROJECTS, COMPLETION OF ASSIGNMENTS
30%
THIS INCLUDES ALL WORK COMPLETED OUTSIDE THE CLASSROOM TO BE GRADED ON ITS
COMPLETION AND STUDENT’S PREPARATION FOR CLASS (MATERIALS, SUPPLIES, ETC.)
ASSIGNMENTS CAN INCLUDE, BUT NOT LIMITED TO: PROBLEM OF THE WEEK, FRIDAY NIGHT
HOMEWORK
THIS CATEGORY ENTAILS BOTH THE TRADITIONAL (EXAMS AND QUIZZES) AND ALTERNATIVE
(PRESENTATIONS, PROJECTS, PORTFOLIOS) METHODS OF ASSESSING STUDENT LEARNING.
EXAMS, QUIZZES, PORTFOLIOS, RESEARCH/UNIT PROJECTS, ORAL PRESENTATIONS
SUGGESTED CRITERIA FOR GRADING PRESENTATIONS, PROJECTS, PORTFOLIOS:
CONCEPTS/OBJECTIVES HAVE BEEN MET
COMPLETION OF PROJECT
CREATIVITY, ORIGINALITY
20%
GROUP
PARTICIPATION
HOMEWORK
ASSESSMENT
50%
Your grade will be determined using the following scale:
90% - 100%
A
80% - 89%
B
70% - 79%
C
60% - 69%
D
59% and below
E
SAT/ACT:
SAT/ ACT preparation is infused into daily instruction. The curriculum is embedded with standardized test preparation activities
and test-taking strategies that will help students be successful on high-stakes tests like the SAT, ACT or college entrance
exams. The practice in each lesson will prepare the students for the format as well as for the content.
IMPORTANT DATES:
First Day of School
Professional Development
½ Day Professional Development
End of 1st Quarter (45 days)
Grading/Teacher Planning
Parent/Teacher Conferences
End of 2nd Quarter (46 days)
Grading/Teacher Planning Day
½ Day Professional Development
Professional Development
End of 3rd Quarter (46 days)
Grading/Teacher Planning
Last Day for Students (44 days)
Last Day for Teachers
Monday, August 22, 2011
Friday, September 23, 2011
Thursday, October 13, 2011
Friday, October 28, 2011
Monday, November 1, 2011
Friday, November 12, 2011
Friday, January 21, 2012
Monday, January 24, 2012
Friday, February 18, 2012
Friday, March 4, 2012
Thursday, March 31, 2012
Friday, April 1, 2012
Monday, June 13, 2012
Tuesday, June 14, 2012
First Quarter at a Glance
Throughout first quarter reasoning and proof, communication, and connections in mathematics should be emphasized. As
students learn the theorems, axioms, and postulates, they should be guided through deductive reasoning procedures in order
to learn logical thinking processes.
By the end of First Quarter Geometry students should be able to:
PRE ASSESSMENT
Find the distance between two points on the coordinate plane
Find the coordinates of the midpoint of a segment in the coordinate plane
Find perimeter and area of rectangles and squares
Find circumference and area of circles
Graph lines given their equations
Relate slope of parallel and perpendicular lines
Write ratios and solve proportions
Tools of Geometry
Use inductive reasoning
Make conjectures
Understand basic terms and postulates
Identify segments, rays, and parallel lines
Find the length of segments and the measures of angles
Reasoning and Proof
Justify steps of a logical argument
Prove and apply theorems about angles and converses
Properties of Parallel Lines
Identify angles formed by parallel lines and a transversal
Use a transversal in order to prove that lines are parallel
Triangle Relationships and Angle Sums
Classify triangles by angles and sides
Find the triangle angle sum and polygon angle sums
Second Quarter at a Glance
Throughout second quarter reasoning and proof, communication, and connections in mathematics should be emphasized. As
students learn the theorems, axioms, and postulates, they should be guided through deductive reasoning procedures in order
to learn logical thinking processes.
By the end of Second Quarter Geometry students should be able to:
Congruent Triangles
Recognize congruent figures and their corresponding parts
Prove two triangles congruent
Use and apply properties of isosceles triangles
Use congruent triangles in proofs
Relationships within Triangles
Apply midsegments theorem in problem solving
Use perpendicular and angle bisectors
Identify properties of perpendicular and angle bisectors, medians and altitudes
Use inequalities involving sides and angles
Quadrilaterals
Define and classify special types of quadrilaterals
Use relationships of diagonals, sides, and angles that are present in special quadrilaterals
Prove that a quadrilateral is a parallelogram, rectangle, rhombus, and kite
Area
Find the Area of parallelograms
Use the Pythagorean Theorem
Use properties of special right triangles
Find the area of trapezoids, rhombuses, and kites
Third Quarter at a Glance
Throughout third quarter measurement and connections should be emphasized. As students learn discover different geometric
figures, the relationship of the properties of area, surface area, circumference and individual measurements should be
highlighted.
By the end of Third Quarter Geometry students should be able to:
Similarity
Identify and apply similar polygons
Prove triangles similar
Find and use relationships in similar right triangles
Right Angle Trigonometry
Use tangent, sine, and cosine ratios
Use trigonometry to find area of triangles
Use angles of elevation and depression to solve problems
Surface Area and Volume
Find the number of faces, edges, and vertices of a three dimensional figure
Find the surface area and lateral area of prisms, cylinders, pyramids and cones
Find the volume prisms, cylinders, pyramids, and cubes
Find the surface area and volume of a sphere
Find the ratios between area and volumes of similar figures
Fourth Quarter at a Glance
Throughout fourth quarter measurement and connections should be emphasized. As students learn the equations of different
types of figures, the relationships to prior knowledge should be highlighted in order to assist the student’s construction of
knowledge.
By the end of fourth Quarter Geometry students should be able to:
Circles
Find the measures of central angles, arcs and arc length
Use the radius and tangent relationship to investigate circles
Use congruent chords, arcs, and central angles
Recognize properties of lines through the center of a circle
Find the measure of an inscribed angle
Find the measure of an angle formed by a tangent and a chord
Find angle measures and segment lengths of a circle
Write an equation of a circle
Find the center and radius of a circle
Transformations
Identify isometries
Find reflection images
Describe translations using vectors
Find translation images using matrix and vector sums
Logical Reasoning
Write bi-conditionals and definitions
Write the negation, contrapositive, and inverse of a conditional statement
Use the law of detachment and syllogism
Recognize conditional statements and write converses
Constructions
Perform Basic Constructions
Constructing Parallel and Perpendicular Lines
Enrichment
Areas of regular polygon
Areas of sectors and segments of circles
Reflect and translate figures using matrices
Use the side splitter and angle bisector theorem
Describe and add vectors