Download ELEMENTARY ALGEBRA

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GEOMETRY
Mathematics
Prince George’s County Public Schools
SY 2009-2010
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 2 - 3 hours 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. Eulalia N. Bentillo
E-Mail: [email protected]
Planning:
Phone:
CLASS INFORMATION:
COURSE NUMBER:
CLASS MEETS: Every other day for 90 minutes
ROOM: C4110
TEXT: Geometry, Prentice Hall
WEB SITE: www.phsuccessnet.com
CALCULATORS
The use of a graphing calculator is required. While participants may use any graphing calculator, the instruction in the course
requires the TI-83. The TI-84 is very similar and can be used as well. Knowledge and competence for use of other graphing
calculators will be the sole responsibility of the student.
GRADING
Grade Percentage
Category
Brief Description
Class Work
This includes all work completed in the classroom setting. This includes but is not limited to: Notebooks,
Warm-ups, Vocabulary, and Written Responses to Constructed Responses (BCR/ECR), Active
Participation in Math projects, Completion of Assignments
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 are not limited to: Problem
of the Week, Daily Class Homework Assignments, and Friday Night Homework.
This category entails both the traditional (exams & quizzes) and alternative (presentations, projects,
portfolios) methods of assessing student learning. Suggested criteria for grading presentations projects,
portfolios, include a) Concepts/objectives have been met, b) Completion of project and c) Creativity,
originality. This category may include but is not limited to: Exams, Quizzes, Portfolios, Research/Unit
Projects, and Oral Presentations.
Homework
Assessment
30%
20%
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:
SAT 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 Quarter Progress Report
End of First Quarter:
First Quarter Report Cards Released
Parent/Teacher Conferences
Thanksgiving
Second Quarter Progress Report
Winter Break
End of Second Quarter
Second Quarter Report Card Released
Third Quarter Progress Report
Spring Break
End of Third Quarter
Third Quarter Report Card Released
Fourth Quarter Progress Report
End of Fourth Quarter
Tuesday, October 6, 2009
Thursday, October 29, 2009
Tuesday, November 10, 2009
Wednesday, November 11, 2009
November 25 – November 27, 2009
Friday, December 18, 2009
December 24, 2009 – January 3, 2010
Friday, January 22, 2010
Wednesday, February 3, 2010
Thursday, March 4, 2010
March 29 – April 5, 2010
Thursday, March 25, 2010
Wednesday, April 14, 2010
Monday, May 10, 2010
Thursday, June 10, 2010
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:
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
Perform basic constructions
Find the distance between two points on the coordinate plane
Find perimeter, circumference, and area
Reasoning and Proof
Recognize conditional statements and write converses
Write bi-conditionals and definitions
Use the law of detachment and syllogism
Justify steps of a logical argument
Prove and apply theorems about angles
Parallel and Perpendicular Lines
Identify angles formed by parallel lines and a transversal
Use a transversal in order to prove that lines are parallel
Classify triangles and find the measures of their angles
Graph lines given their equations
Relate slope and parallel and perpendicular lines
Congruent Triangles
Recognize congruent figures and their corresponding parts
Prove two triangles congruent
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
Prove that triangles are congruent
Use and apply properties of isosceles triangles
Use congruent triangles in proofs
Relationships within Triangles
Apply midsegments in problem solving
Use perpendicular and angle bisectors
Identify properties of perpendicular and angle bisectors, medians and altitutes
Write the negation, contrapositive, and inverse of a conditional statement
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 kites
Use coordinate geometry in proofs of quadrilaterals
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:
Area
Find the area of regular polygons
Find the measure of central angles and arcs
Find the area of circles, sectors, and segments
Use geometry to find probabilities
Similarity
Write ratios and solve proportions
Identify and apply similar polygons
Prove triangles similar
Find and use relationships in similar right triangles
Use the side splitter and angle bisector theorem
Right Angle Trigonometry
Use tangent, sine, and cosine ratios
Describe and add vectors
Use trigonometry to find area of triangles
Surface Area and Volume
Find the number of faces, edges, and vertices of a three dimensional figure
Use nets
Find the surface area of prisms, cylinders, pyramids and cones
Find the volume of prisms, cylinders
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 highlighted in order to assist the student’s construction of
knowledge.
By the end of fourth Quarter Geometry students should be able to:
Surface Area and Volume
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
Circles
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
Draw and describe a locus
Identify isometries
Find reflection images
Describe translations using vectors
Find translation images using matrix and vector sums