Download Course: Geometry Level: PS3 Course Description: This course will

Course:
Geometry
Level:
PS3
Course Description: This course will focus on analyzing properties of two dimensional and 3
dimensional shapes and figures. It is the bases of many physics, robotics, architecture and engineering
courses. Since we do not live in a 1 dimensional world this is an introduction to real world measurements
and calculations.
Course Goals:
Upon completion of this course students will:
• Recognize and define geometric shapes and figures
• Understand patterns and formulate logical mathematical arguments
• Understand transformations, symmetry, congruency, and use spatial reasoning.
• Use formulas and theorems to prove and calculate geometric relationships
Course Objectives:
This course will provide foundational skills and helps to build the thinking skills of
logic, deductive reasoning, analytical reasoning and problem solving
Foundations of Geometry
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Points, lines and planes
Segments and their measures
Angles and their measures
Segments and Angle bisectors
Review: Perimeter, Circumference, Area
Reasoning:
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Patterns and inductive reasoning
Conditional Statements
Definitions and Bi-conditional Statements
Deductive Reasoning
Proving Angle Statements and Segments
Lines and Coordinate plane
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Lines and Angles
Perpendicular lines and parallel lines
Parallel lines and transversals
Proving parallel line
Coordinate plane
Triangles
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Triangles and Angles
Ratios and proportions
Proving Triangles are similar
Perpendiculars and Bisectors
Bisectors of a Triangle
Medians and Mid Segments
Right triangles
Introduction to Pythagorean theorem
Geometric figures
 Circles, Arcs, chords and secants
 Tangents and transcribed figures
 Regular polygons
 Areas and volumes, perimeter and circumference