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High School Geometry Course Outline

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

9- Investigating Quadrilaterals

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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