Geometry Syllabus

This course builds upon the mastery of skills and concepts gained over previous  courses.  Thus the emphasis for the first half of the year is on integrating Algebra with Geometry and less emphasis on formal proofs.  The focus of the second half of the year is a preparation for Pre-Calculus with a full unit in Right Triangle Trigonometry and review/ preparation for the MCAS exam. At the conclusion of the course, students will be able to: analyze properties and determine attributes of two- and three-dimensional objects; draw and construct representations of two- and three-dimensional geometric objects using a variety of tools; explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them; apply appropriate techniques, tools, and formulas to determine measurements ( perimeter, area, surface area, and volume); establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others; use trigonometric relationships and laws to determine lengths and angle measures; use Cartesian coordinates to analyze geometric situations; investigate conjectures and solve problems involving two- and three-dimensional objects represented with Cartesian coordinates; understand and represent translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, vectors, function notation, and matrices; use various representations to help understand the effects of simple transformations and their compositions; and use geometric ideas to solve problems in, and gain insights into, other areas of mathematics, disciplines, and areas of interest such as art and architecture.

This course builds upon the mastery of skills and concepts gained over previous  courses.  Thus the emphasis for the first half of the year is on integrating Algebra with Geometry and less emphasis on formal proofs.  The focus of the second half of the year is a preparation for Pre-Calculus with a full unit in Right Triangle Trigonometry and review/ preparation for the MCAS exam. At the conclusion of the course, students will be able to: analyze properties and determine attributes of two- and three-dimensional objects; draw and construct representations of two- and three-dimensional geometric objects using a variety of tools; explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them; apply appropriate techniques, tools, and formulas to determine measurements ( perimeter, area, surface area, and volume); establish the validity of geometric conjectures using deduction, prove theorems, and critique arguments made by others; use trigonometric relationships and laws to determine lengths and angle measures; use Cartesian coordinates to analyze geometric situations; investigate conjectures and solve problems involving two- and three-dimensional objects represented with Cartesian coordinates; understand and represent translations, reflections, rotations, and dilations of objects in the plane by using sketches, coordinates, vectors, function notation, and matrices; use various representations to help understand the effects of simple transformations and their compositions; and use geometric ideas to solve problems in, and gain insights into, other areas of mathematics, disciplines, and areas of interest such as art and architecture.

=== Textbook ===

=== Textbook ===

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