Geometry and Honors Geometry

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HAZELWOOD SCHOOL DISTRICT
GEOMETRY and HONORS GEOMETRY SYLLABUS
Course Description:
In this course, students learn foundational geometry concepts from synthetic
(Euclidean), algebraic, and industry perspectives. Students engage in activities
which require them to identify, analyze, and solve problems involving the
following topics: segments, angles, triangles, quadrilaterals, polyhedra, circles,
spheres, transformations, if-then statements and proofs. Course work includes
studying how geometry relates to algebra and how geometry concepts are
applied in industrial and technological career fields. The course emphasizes the
need for students to comprehend the abstract and symbolic nature of geometry.
To receive honors credit, students are challenged to follow a rigorous pace to
learn the intricacies of more complex geometry, including an additional project
each quarter.
Approved Course Materials and Resources:
Textbook and Resources:
GEOMETRY Integration, Applications, Connections, New York, 2001
Glencoe/McGraw-Hill, 2001. $55.00
Video/Movies:
Video clips from United Streaming are approved for classroom use.
No full length movies are approved in the mathematics curriculum.
Course Expectations:
Students will be expected to bring pencils, a notebook, scientific calculator, and
their textbook to class everyday. Taking notes, doing assigned homework,
participating fully in classroom activities, and seeking additional help when
needed are essential elements in successfully mastering the concepts of
Geometry.
Sample Course Activities/Projects/Assessments:
Assessments:
Each chapter test serves as the District Common Assessments. A scoring guide
and grade calculator will ensure consistent scoring for all students across the
district.
A comprehensive semester final exam is required at the end of each semester.
Other informal and formal assessments, such as quizzes, observations,
classroom assignments, projects, and participation, will occur periodically
through out each chapter.
Geometry and Honors Geometry Syllabus
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Course Outline:
 Definitions, Postulates, Theorems
 Proof
 Transformation
 One-Dimensional Figures
 Two-Dimensional Figures
 Three-Dimensional Figures
 Measurement
 Congruence
 Similarity
Course Curriculum Map:
The curriculum map shows the sequence of the math concepts. An approximate
timeline is given at the end of each chapter.
Semester 1
Chapter 1
Math Content/Textbook Lesson
1-1 Coordinate Plane
1-2 Points Lines and Planes
1-3 Using formulas
1-4 Measuring Segments
1-5 Mid Point and Segment Congruence
1-6 Exploring Angles
1-7 Angle Relationships
Quiz/Review
Common Assessment #1
Timeline: 3 weeks
Chapter 2
Math Content/Textbook Lesson
2-1 Inductive reasoning and conjecturing
2-2 If then statements
2-3 Deductive reasoning and conjecturing
2-4 Algebraic Proofs
2-5 Verifying Segment Relationships
2-6 Verifying Angle Relationships
Quiz/Review
Common Assessment #2
Timeline: 3 weeks
Geometry and Honors Geometry Syllabus
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Chapter 3, 12
Math Content/Textbook Lesson
3-1 Parallel Lines Transversals
3-2 Angles and Parallel Lines
3-3 Slopes of Lines
12-1 Graphing Linear Equations
12-2 Writing Linear Equations
3-4 Proving Lines are Parallel
3-5 Parallels and Distance
Quiz/Review
Common Assessment #3
Timeline: 3.5 weeks
Chapter 4, 5
Math Content/Textbook Lesson
4-1 Classifying Triangles
4-2 Measuring Angles in a Triangle
4-3 Exploring Congruent Triangles
4-4 Proving Triangles Congruent
4-5 More Congruent Triangles
4-6 Analyzing Isosceles Triangles
5-1 Special Segments and Triangles
5-4 Inequalities for Sides and Angles of a Triangle
5-5 Triangle Inequality
Quiz/Review
Common Assessment #4
Timeline: 5 weeks
Chapter 13
Math Content/Textbook Lesson
13-4 Mappings
13-5 Reflections
13-6 Translations
13-7 Rotations
13-8 Dilations
Quiz/Review
Common Assessment #5
Timeline: 2.5 weeks
Semester 1 Final Exam
Review for Semester 1 Final Exam
Semester 1 Exam
Timeline: .5 weeks
Geometry and Honors Geometry Syllabus
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Semester 2
Chapter 6
Math Content/Textbook Lesson
6-1 Parallelograms
6-2 Tests for Parallelograms
6-3 Rectangles
6-4 Squares & Rhombi
6-5 Trapezoids
Quiz/Review
Common Assessment #6
Timeline: 3 weeks
Chapter 9, 10
Math Content/Textbook Lesson
9-1 Exploring Circles
10-5 Area of Circles Only
10-1 Polygons
10-3 Area of Parallelograms
10-4 Area of Triangles, Rhombi & Trapezoids
10-7 Polygons as Networks
Quiz/Review
Common Assessment #7
Timeline: 3 weeks
Chapter 11
Math Content/Textbook Lesson
11-1 Three-Dimensional Figures
11-2 Nets and Surface Area
11-3 Surface Area-Prisms & Cylinders
11-4 Surface Area-Pyramids & Cones
11-5 Volume-Prisms & Cylinders
11-6 Volume-Pyramids & Cones
11-7 Surface Area & Volume-Spheres
Quiz/Review
Common Assessment #8
Timeline: 4.5 weeks
Chapter 7, 8
Math Content/Textbook Lesson
7-1 Proportions
7-2 Similar Polygons
7-3 Identifying Similar Triangles
7-5 Parts of Similar Triangles
Geometry and Honors Geometry Syllabus
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11-8 Congruent and Similar Solids
8-1 Pythagorean Theorem Only
Quizzes and Review
Common Assessment #9
Timeline: 2.5 weeks
Semester 2 Final Exam
Review for Semester 2 Final Exam
Semester 2 Exam
Timeline: .5 weeks
Geometry and Honors Geometry Syllabus
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HIGH SCHOOL MATHEMATICS LESSON PROTOCOL
ACTIVITY
TEACHER PURPOSE
STUDENT PURPOSE
Warm Up
Assess student knowledge;
connect to prior knowledge
Practice and strengthen
lesson skills and math
concepts; self assessment
of knowledge
Facilitate to guide student
thinking; assess accuracy of
student knowledge
Self-assessment, explain
reasoning and assist each
other
Assess and build
connections to prior
knowledge; build interest
and motivation.
Show interest in problem
to be solved; show prior
knowledge through
discussion.
Facilitate and assess
student understanding; ask
probing questions to
maintain problem’s rigor
and student’s perseverance.
Construct math knowledge
by making predictions,
discussing possibilities,
testing predictions, solving
problems, and justifying or
presenting results.
Check for accuracy and
depth of understanding,
make connections and
extend knowledge through
questioning and discussion.
Summarize and reflect
though discussion and
writing.
Individual work; problems
based on classroom lesson
skills or Tungsten
assessment data
15% of class time
Homework Review
Partner or small group
10% of class time
Launch
Whole group discussion
Direct Instruction
20% of class time
Explore
Partner/Small Group Activity
Guided Instruction
Student Presentations
40% of class time
Summary
Whole group discussion
Summary Writing
15% of class time
Geometry and Honors Geometry Syllabus
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Power Vocabulary:
Point
One-dimensional figure
Two-dimensional shapes
Three-dimensional shapes
Angle
Polygons
Properties
Parallel
Perpendicular
Transformations
Symmetry
Proof
Congruence
Similarity
Theorems and postulates
Cartesian plane
Protractor
Compass
Area/Surface Area
Perimeter/Circumference
Volume
Geometry and Honors Geometry Syllabus
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