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CURRICULUM GUIDE
Course: Honors Geometry
Course Description:
The objective of Advanced Geometry is to develop habits of clear thinking and
precise expression, as well as an understanding of the fundamental facts and
principles of geometry. Topics include: deductive and inductive reasoning, proof,
analytic geometry, properties, measurements and transformations of two- and threedimensional figures, right-triangle trigonometry, and coordinate geometry. The
school wide learning expectation for problem solving is addressed throughout the
course.
Intended Audience:
Students who received:
1. A grade of B- or better in Advanced Algebra I
-orA grade of A- or better in College Prep Algebra I
2. A qualifying score on the Algebra I Proficiency test
3. Teacher recommendation
Course Goals:
1. To develop the students critical thinking skills.
2. To give the students the geometric tools and skills they will
need to be successful on their MCAS and in their subsequent
math classes.
Essential Questions/Habits of Mind
1. Perseverance when tackling problems and trying to grasp concepts.
2. Enjoyment of the challenges of problem solving.
3. Incorporation of technology (as appropriate. as a means of enabling the
visualization of complex concepts, analysis of data, explanation of simple
concepts and communication of solutions).
4. Utilization of mathematics in modeling real-world problems and realizing the
connection of math to the world we live in (i.e. think in mathematical terms).
5. Development and maintenance of a bank of mathematical facts, skills and
concepts to be used as a resource for generating further mathematical ideas.
6. Willingness to take risks as a means to learning.
7. Awareness of the many links that connect all math topics.
Course Outline:

Unit 1 Building Blocks of Geometry (September)
a. points, lines and planes
b. ruler postulate and midpoint theorem
c. midpoint formula on the coordinate plane
d. segments, addition and segment bisectors
e. angles and angle bisectors

Unit 2 Parallel Lines and Planes (October 1 – 14)
a. angle pairs formed by transversal
b. slopes of parallel and perpendicular lines
c. proving lines are parallel

Unit 3 Introduction to Triangles (October 15 - 21)
a. classify according to angles, sides
b. properties of isosceles triangles
c. angle/opposite side relationship
d. exterior/remote interior angles
e. triangle inequality theorem

Unit 4 Logic and Reasoning (October 22 - 31 )
a. inductive reasoning, finding the nth term
b. deductive reasoning, logic puzzles
c. conditional statements, converse, inverse, counterexamples

Unit 5 Congruent Triangles (November 1 – 14)
a. congruent triangles and corresponding parts
b. proving triangle congruence by SSS, SAS, ASA, SAA
c. CPCTC
d. isosceles triangle theorem

Unit 6 Polygons ( November 15 – 21)
a. sum of interior angles
b. regular polygons, measure of each interior angle
c. number of diagonals

Unit 7 Quadrilaterals (November 22 – December 7 )
a. properties of parallelograms, angles and sides
b. proving quadrilaterals are parallelograms
c. classifying special parallelograms (rhombus, rectangle, square)
d. properties of special parallelograms
e. kites and trapezoids
f. coordinate proofs

Unit 8 Similarity (December 8 – January 1)
a. ratio and proportion
b. similar polygons
c. triangle similarity shortcuts
d. indirect measurement

Unit 9 Right Triangles (January 2 – January 31 )
a. Pythagorean Theorem
b. converse of the P-thm
c. special right triangles
d. right triangle trigonometry
e. distance formula

Unit 10 Transformations (February 1 – March 14)
a. symmetry
b. isometries
c. translations
d. reflections
e. dilations/projections
f. rotations
g. compositions (glide reflections and tessellations)

Unit 11 Circles (March 15 - April 1 )
a. circumference and pi
b. chord properties
c. tangents
d. arcs and central angles
e. inscribed angles

Unit 12 Area and Perimeter (April 2 – April 14 )
a. rectangles and parallelograms
b. triangles, trapezoids, kites and irregular figures
c. regular polygons
d. circles
e. similar figures

Unit 13 Volume and Surface Area (April 15 – May 1)
a. types and properties of solids
b. prisms and cylinders
c. pyramids and cones
d. spheres
e. similar solids

Unit 14 Miscellaneous Topics (May 2 – May 14 )
a. networks and graphs

b. coordinate geometry
c. equations of lines
Unit 15 Research Projects (May 15 – June 15)
a. Webquest (geometry scavenger hunt)
b. form groups, choose topic, write proposal
c. collect and analyze information
d. present findings to class
Instructional Methods:




guided investigations using The Geometer’s Sketchpad©
formal lecture to define terms and summarize/clarify findings
informal discussions
visual demonstrations, followed by challenging questions
Texts & Materials Used in Course:
Teacher generated materials
Assessment:
tests
quizzes
lab investigations
projects
Course Evaluation Tools:
Final Exam