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High School Geometry Course Outline

1.0 Credit

This course introduces the student to the deductive method of proof with the use of points, lines, and planes. Solid geometry is integrated with plane geometry to lead the student to consideration of two-and three-dimensional figures and to develop the ability to visualize space relationships. Students who successfully complete this course with a grade of “C” or higher should be prepared for Algebra II.

This course covers the following Geometry concepts:

CONGRUENCE

• Experiment with transformations in the plane
• Understand congruence in terms of rigid motions
• Prove geometric theorems
• Make geometric constructions

SIMILARITY, RIGHT TRIANGLES & TRIGONOMETRY

• Understand similarity in terms of similarity transformations Prove theorems involving similarity
• Define trigonometric ratios and solve problems involving right triangles
• Apply trigonometry to general triangles CIRCLES
• Understand and apply theorems about circles
• Find arc lengths and areas of sectors of circles

EXPRESSING GEOMETRIC PROPERTIES WITH EQUATIONS

• Translate between the geometric description and the equation for a conic section
• Use coordinates to prove simple geometric theorems algebraically

GEOMETRIC MEASUREMENT & DIMENSION

• Explain volume formulas and use them to solve problems
• Visualize relationships between two-dimensional and three-dimensional objects

MODELING WITH GEOMETRY

• Apply geometric concepts in modeling situations

1- Introduction

• Introduction
• Course Description
• Completing Math Assessments
• Pretest
• Assignment: Pretest
• MLA Formatting Word 2007
• MLA Documentation Updates
• MLA Citation
• MLA Incorporating Sources

2- The Geometry Toolkit

• Undefined Terms
• Assignment: Undefined Terms Study Guide
• Essay: The Dot & The Line Writing Project
• Lines & Line Segments
• Handout: Lines & Line Segments Worksheet
• Assignment: Lines & Line Segments Study Guide
• Assignment: Lines & Line Segments
• Segments: Midpoints & Bisectors
• Handout: Midpoints & Bisectors Worksheet
• Assignment: Midpoints & Bisectors Study Guide
• Assignment: Midpoints & Bisectors
• Rays & Angles
• Handout: Rays & Angles Worksheet
• Assignment: Rays & Angles Study Guide
• Assignment: Ray & Angles
• Angle Relationships
• Assignment: Angle Relationships Study Guide
• Assignment: Angle Relationships Exploration
• Lines: Parallel & Perpendicular
• Handout: Parallel & Perpendicular Lines Worksheet
• Assignment: Parallel & Perpendicular Study Guide
• Assignment: Parallel & Perpendicular Lines
• Basic Constructions
• Handout: Geogebra Resources
• Assignment: Geogebra Constructions

3- Where’s the Logic?

• Basics of Logic
• Worksheet: Basics of Logic
• Conjunctions
• Handout: Conjunctions Worksheet
• Assignment: Conjunctions
• Disjunctions
• Handout: Disjunctions Worksheet
• Assignment: Disjunctions
• Conditionals
• Handout: Conditionals Worksheet
• Assignment: Conditionals
• Inverse, Converse & Contrapositive
• Quiz: Inverse, Converse & Contrapositive
• Biconditionals
• Handout: Biconditionals Worksheet
• Assignment: Biconditionals

4- Where’s the Proof?

• Inductive Reasoning
• Worksheet: Inductive Reasoning
• Deductive Reasoning
• Quiz: Inductive or Deductive Reasoning?
• Algebraic Reasoning
• Handout: Algebraic Reasoning Worksheet
• Assignment: Algebraic Reasoning
• Proving Segment & Angle Relationships
• Handout: Proving Segment & Angle Relationships Worksheet
• Assignment: Proving Segment & Angle Relationships

5- Investigating Lines

• The Coordinate Plane
• Handout: The Coordinate Plane Worksheet
• Handout: Distance & Midpoint Worksheet
• Assignment: The Coordinate Plane
• Assignment: Distance & Midpoint
• Equations of Lines
• Worksheet: Equations of Lines
• Slopes of Parallel & Perpendicular Lines
• Assignment: Parallel & Perpendicular Slopes Exploration
• Parallel Lines & Transversals
• Assignment: Parallel Lines & Transversals Exploration
• Proving Lines Parallel
• Handout: Proving Lines Parallel Worksheet
• Assignment: Proving Lines Parallel

6- Investigating Triangles

• Investigating Triangles
• Assignment: Investigating Interior & Exterior Angles
• Congruent Triangles
• Quiz: Congruent Triangles
• SSS & SAS
• Handout: SSS & SAS Worksheet
• Assignment: SSS & SAS
• ASA, AAS & HL
• Handout: Triangle Congruency Graphic Organizer
• Assignment: Triangle Congruency Graphic Organizer
• Assignment: Proving Triangle Congruency
• Isosceles & Equilateral Triangles
• Handout: Isosceles & Equilateral Triangles Worksheet
• Assignment: Isosceles & Equilateral Triangles

7- More Triangle Investigations

• Triangles: Midsegments
• Handout: Midsegments Worksheet
• Assignment: Midsegments
• Triangles: Bisectors
• Handout: Perpendicular Bisectors Worksheet
• Handout: Angle Bisectors Worksheet
• Assignment: Perpendicular Bisectors
• Assignment: Angle Bisectors
• Triangles: Medians & Altitudes
• Handout: Medians & Altitudes Worksheet
• Assignment: Medians & Altitudes
• Triangle Inequalities
• Worksheet: Triangle Inequalities

8- Mid-Term Exam

• Midtest
• Assignment: Midtest
• Handout: Mid-Term Exam
• Assignment: Mid-Term Exam

• Polygons
• Handout: Polygons Worksheet
• Assignment: Polygons
• Assignment: Polygons: Interior & Exterior Angles
• Parallelograms
• Handout: Parallelograms Worksheet
• Assignment: Parallelograms
• Tests for Parallelograms
• Handout: Proving Parallelograms Worksheet
• Assignment: Proving Parallelograms
• Special Parallelograms
• Handout: Special Parallelograms Worksheet
• Assignment: Special Parallelograms
• Trapezoids & Kites
• Handout: Trapezoids & Kites Worksheet
• Assignment: Trapezoids & Kites

10- Can You See the Similiarities?

• Ratios & Proportions
• Worksheet: Ratios & Proportions
• Similar Polygons
• Handout: Similar Polygons Worksheet
• Assignment: Similar Polygons
• Similar Triangles
• Assignment: Proving Triangle Similarity
• Proportional Relationships
• Handout: Proportional Relationships Worksheet
• Assignment: Proportional Relationships

11- Right Triangle Trigonometry

• Pythagorean Theorem
• Handout: Pythagorean Theorem Worksheet
• Assignment: Pythagorean Theorem
• Pythagorean Theorem Converse
• Handout: Pythagorean Theorem Converse Worksheet
• Assignment: Pythagorean Theorem Converse
• Special Right Triangles
• Handout: It’s A Secret! Worksheet
• Assignment: It’s A Secret!
• Sine, Cosine & Tangent
• Assignment: Right Triangle Trigonometry
• Inverse Trig Ratios
• Handout: Solving Right Triangles Worksheet
• Assignment: Solving Right Triangles
• Worksheet: Inverse Trig Ratios
• Laws of Sine & Cosine
• Handout: Laws of Sine & Cosine Worksheet
• Assignment: Laws of Sine & Cosine

12- Investigating Circles

• Circles
• Handout: Circles Worksheet
• Assignment: Circles
• Arcs
• Handout: Arcs Worksheet
• Assignment: Arcs
• Chords
• Handout: Chords Worksheet
• Assignment: Chords
• Inscribed Angles
• Handout: Inscribed Angles Worksheet
• Assignment: Inscribed Angles Exploration
• Assignment: Inscribed Angles
• Circles: Special Angles
• Handout: Special Angles Worksheet
• Assignment: Special Angles
• Circles: Special Segments
• Handout: Special Segments Worksheet
• Assignment: Special Segments

13- Perimeter & Area

• Perimeter
• Handout: Perimeter Worksheet
• Assignment: Perimeter
• Circumference
• Handout: Circumference Worksheet
• Assignment: Circumference
• Area: Quadrilaterals & Triangles
• Quiz: Area of Quadrilaterals
• Area: Regular Polygons
• Handout: Area of Regular Polygons Worksheet
• Assignment: Area of Regular Polygons
• Area: Similar Polygons
• Handout: Area of Similar Polygons Worksheet
• Assignment: Area of Similar Polygons
• Area: Circles
• Assignment: Area of Circles

14- Surface Area & Volume

• Solids
• Assignment: Solids
• Surface Area: Prisms & Cylinders
• Handout: Surface Area of Prisms & Cylinders Worksheet
• Assignment: Surface Area of Prisms & Cylinders
• Surface Area: Pyramids & Cones
• Handout: Surface Area of Pyramids & Cones Worksheet
• Assignment: Surface Area of Pyramids & Cones
• Volume: Prisms & Cylinders
• Handout: Volume of Prisms & Cylinders Worksheet
• Assignment: Volume of Prisms & Cylinders
• Volume: Pyramids & Cones
• Handout: Volume of Pyramids & Cones Worksheet
• Assignment: Volume of Pyramids & Cones
• Spheres
• Handout: Spheres Worksheet
• Assignment: Spheres
• Similar Solids
• Handout: Similar Solids Worksheet
• Assignment: Similar Solids

15- Transformations

• Symmetry
• Assignment: Symmetry
• Translations
• Reflections
• Rotations
• Handout: Transformations Worksheet
• Assignment: Transformations
• Dilations
• Assignment: Dilations Exploration

16- Final Exam

• Post-test
• Assignment: Post-test
• Handout: Final Exam
• Assignment: Final Exam

17- Course Survey

• Handout: Course Survey
• Assignment: Course Survey
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