Geometry Syllabus Geometry_PLC_Syllabus 2015-16

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SHORELINE PUBLIC SCHOOLS
COURSE SYLLABUS
Building: Shorewood High School
Year: 2015-16
Name of Year-Long Course: Geometry
Instructors: Corrie Crowder, Amy Dickinson, Ray Etheridge, Jill Owen, Paul Villaneuava
Course Description: Geometry is the branch of mathematics mainly concerned with two and threedimensional figures and their properties. We will use algebra, inductive and deductive reasoning,
constructions, measurement, and coordinate geometry to explore these properties.
Classroom Expectations: Students are expected to come to class on time each day with the appropriate
materials and completed homework. Students should participate in class discussions, ask questions, and
share their ideas with each other. Students are expected to use class time appropriately and avoid
distracting devises or behavior. Finally, students are expected to take advantage of the extra help and
support offered during office hours, Achievement Time, and Homework Club.
Concepts/Themes
Power Standards
Approximate
Time Frame
Congruence
Chapters 9
 I can use geometric descriptions of rigid motions to transform
defined in terms
and 4
figures and to predict the effect of a given rigid motion on a
of rigid motions.
given figure
 Given two figures, I can use the definition of congruence in
terms of rigid motion to decide if they are congruent.
 I can use the definition of congruence in terms of rigid motions
to show that two triangles are congruent if and only if
corresponding pairs of sides and corresponding pairs of angles
are congruent.
 I can explain how the criteria for triangle congruence (ASA,
SAS, and SSS) follow from the definition of congruence in
terms of rigid motions.
Proving
Chapters 2,
 I can prove theorems about lines and angles
geometric
3, and 4
 I can prove theorems about triangles
theorems
 I can prove theorems about parallelograms
Similarity defined  I can verify experimentally the properties of dilations given by a Chapter 7
in terms of
center and a scale factor.
similarity
 Given two figures, I can use the definition of similarity in terms
transformations
of similarity transformations to decide if they are similar.
 I can explain the meaning of similarity for triangles as the
equality of all corresponding pairs of angles and the
proportionality of all corresponding pairs of sides.
 I can use the properties of similarity transformations to establish
AA criterion for two triangles to be similar.
Proving theorems  I can prove theorems about triangles
Chapter 7
involving
 I can use congruence and similarity criteria for triangles to solve
similarity
problems and to prove relationships in geometric figures.
Trigonometric
ratios and solving
problems
involving right
triangles
Using coordinates
to prove simple
geometric
theorems
algebraically
Appling
geometric
concepts in
modeling
situations
Standards of
Mathematical
Practice
 I can define trigonometric ratios for acute angles by
understanding that by similarity, side ratios in right triangles are
properties of the angles in the triangle.
 I can explain and use the relationship between sine and cosine
of complementary angles.
 I can use trigonometric ratios and the Pythagorean Theorem to
solve right triangles in applied problems.
 I can prove the slope criteria for parallel and perpendicular lines
and use them to solve geometric problems.
 I can find the point on a directed line segment between two
given points that partitions the segment in a given ratio.
 I can use coordinates to compute perimeters of polygons, areas
of triangles and rectangles using the distance formula.
 I can use geometric shapes, their measures, and their properties
to describe real-life objects.
 I can apply concepts of density based on area and volume in
modeling situations.
 I can apply geometric methods to solve design problems.
Chapters 8
and 10
 I can reason abstractly and quantitatively.
 I can construct viable arguments and critique the reasoning of
others
 I can use appropriate tools strategically
 I can attend to precision
 I can look for and make use of structure
Throughout
Chapter 1, 3,
6, 7, 10
Chapters 6,
10, 11, and
12
Assessments:
Expect daily homework assignments, a quiz and a test every chapter, and occasional applied problem
solving and projects. There is a Final Exam at the end of each semester. 40% of your overall grade will
be determined by participation and completion of coursework (daily assignments, class participation,
and notebook) 50% of your overall grade will be determined by assessments (quizzes, tests, projects)
and 10% will be determined by the final exam.
Curriculum/Textbooks:
Prentice Hall Geometry (2011 Edition and iPad Edition)
Supplemental Material from SSD
Additional Resources/Technology:
www.interactmath.com
www.explorelearning.com
www.khanacademy.org
www.geogebra.com
manipulatives (geo-fix, zometools, origami)
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