## 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**

1- Introduction

2- Course Description

3- Completing Math Assessments

4- Pretest

Assignment: Pretest

5- MLA Formatting Word 2007

6- MLA Documentation Updates

7- MLA Citation

8- MLA Incorporating Sources

**2- The Geometry Toolkit**

1- Undefined Terms

Assignment: Undefined Terms Study Guide

Essay: The Dot & The Line Writing Project

2- Lines & Line Segments

Handout: Lines & Line Segments Worksheet

Assignment: Lines & Line Segments Study Guide

Assignment: Lines & Line Segments

3- Segments: Midpoints & Bisectors

Handout: Midpoints & Bisectors Worksheet

Assignment: Midpoints & Bisectors Study Guide

Assignment: Midpoints & Bisectors

4- Rays & Angles

Handout: Rays & Angles Worksheet

Assignment: Rays & Angles Study Guide

Assignment: Ray & Angles

5- Angle Relationships

Assignment: Angle Relationships Study Guide

Assignment: Angle Relationships Exploration

6- Lines: Parallel & Perpendicular

Handout: Parallel & Perpendicular Lines Worksheet

Assignment: Parallel & Perpendicular Study Guide

Assignment: Parallel & Perpendicular Lines

7- Basic Constructions

Handout: Geogebra Resources

Assignment: Geogebra Constructions

**3- Where’s the Logic?**

1- Basics of Logic

Worksheet: Basics of Logic

2- Conjunctions

Handout: Conjunctions Worksheet

Assignment: Conjunctions

3- Disjunctions

Handout: Disjunctions Worksheet

Assignment: Disjunctions

4- Conditionals

Handout: Conditionals Worksheet

Assignment: Conditionals

5- Inverse, Converse & Contrapositive

Quiz: Inverse, Converse & Contrapositive

6- Biconditionals

Handout: Biconditionals Worksheet

Assignment: Biconditionals

**4- Where’s the Proof?**

1- Inductive Reasoning

Worksheet: Inductive Reasoning

2- Deductive Reasoning

Quiz: Inductive or Deductive Reasoning?

3- Algebraic Reasoning

Handout: Algebraic Reasoning Worksheet

Assignment: Algebraic Reasoning

4- Proving Segment & Angle Relationships

Handout: Proving Segment & Angle Relationships Worksheet

Assignment: Proving Segment & Angle Relationships

**5- Investigating Lines**

1- The Coordinate Plane

Handout: The Coordinate Plane Worksheet

Handout: Distance & Midpoint Worksheet

Assignment: The Coordinate Plane

Assignment: Distance & Midpoint

2- Equations of Lines

Worksheet: Equations of Lines

3- Slopes of Parallel & Perpendicular Lines

Assignment: Parallel & Perpendicular Slopes Exploration

4- Parallel Lines & Transversals

Assignment: Parallel Lines & Transversals Exploration

5- Proving Lines Parallel

Handout: Proving Lines Parallel Worksheet

Assignment: Proving Lines Parallel

**6- Investigating Triangles**

1- Investigating Triangles

Assignment: Investigating Interior & Exterior Angles

2- Congruent Triangles

Quiz: Congruent Triangles

3- SSS & SAS

Handout: SSS & SAS Worksheet

Assignment: SSS & SAS

4- ASA, AAS & HL

Handout: Triangle Congruency Graphic Organizer

Assignment: Triangle Congruency Graphic Organizer

Assignment: Proving Triangle Congruency

5- Isosceles & Equilateral Triangles

Handout: Isosceles & Equilateral Triangles Worksheet

Assignment: Isosceles & Equilateral Triangles

**7- More Triangle Investigations**

1- Triangles: Midsegments

Handout: Midsegments Worksheet

Assignment: Midsegments

2- Triangles: Bisectors

Handout: Perpendicular Bisectors Worksheet

Handout: Angle Bisectors Worksheet

Assignment: Perpendicular Bisectors

Assignment: Angle Bisectors

3- Triangles: Medians & Altitudes

Handout: Medians & Altitudes Worksheet

Assignment: Medians & Altitudes

4- Triangle Inequalities

Worksheet: Triangle Inequalities

**8- Mid-Term Exam**

1- Midtest

Assignment: Midtest

Handout: Mid-Term Exam

Assignment: Mid-Term Exam

**9- Investigating Quadrilaterals**

1- Polygons

Handout: Polygons Worksheet

Assignment: Polygons

Assignment: Polygons: Interior & Exterior Angles

2- Parallelograms

Handout: Parallelograms Worksheet

Assignment: Parallelograms

3- Tests for Parallelograms

Handout: Proving Parallelograms Worksheet

Assignment: Proving Parallelograms

4- Special Parallelograms

Handout: Special Parallelograms Worksheet

Assignment: Special Parallelograms

5- Trapezoids & Kites

Handout: Trapezoids & Kites Worksheet

Assignment: Trapezoids & Kites

**10- Can You See the Similiarities?**

1- Ratios & Proportions

Worksheet: Ratios & Proportions

2- Similar Polygons

Handout: Similar Polygons Worksheet

Assignment: Similar Polygons

3- Similar Triangles

Assignment: Proving Triangle Similarity

4- Proportional Relationships

Handout: Proportional Relationships Worksheet

Assignment: Proportional Relationships

**11- Right Triangle Trigonometry**

1- Pythagorean Theorem

Handout: Pythagorean Theorem Worksheet

Assignment: Pythagorean Theorem

2- Pythagorean Theorem Converse

Handout: Pythagorean Theorem Converse Worksheet

Assignment: Pythagorean Theorem Converse

3- Special Right Triangles

Handout: It’s A Secret! Worksheet

Assignment: It’s A Secret!

4- Sine, Cosine & Tangent

Assignment: Right Triangle Trigonometry

5- Inverse Trig Ratios

Handout: Solving Right Triangles Worksheet

Assignment: Solving Right Triangles

Worksheet: Inverse Trig Ratios

6- Laws of Sine & Cosine

Handout: Laws of Sine & Cosine Worksheet

Assignment: Laws of Sine & Cosine

**12- Investigating Circles**

1- Circles

Handout: Circles Worksheet

Assignment: Circles

2- Arcs

Handout: Arcs Worksheet

Assignment: Arcs

3- Chords

Handout: Chords Worksheet

Assignment: Chords

4- Inscribed Angles

Handout: Inscribed Angles Worksheet

Assignment: Inscribed Angles Exploration

Assignment: Inscribed Angles

5- Circles: Special Angles

Handout: Special Angles Worksheet

Assignment: Special Angles

6- Circles: Special Segments

Handout: Special Segments Worksheet

Assignment: Special Segments

**13- Perimeter & Area**

1- Perimeter

Handout: Perimeter Worksheet

Assignment: Perimeter

2- Circumference

Handout: Circumference Worksheet

Assignment: Circumference

3- Area: Quadrilaterals & Triangles

Quiz: Area of Quadrilaterals

4- Area: Regular Polygons

Handout: Area of Regular Polygons Worksheet

Assignment: Area of Regular Polygons

5- Area: Similar Polygons

Handout: Area of Similar Polygons Worksheet

Assignment: Area of Similar Polygons

6- Area: Circles

Assignment: Area of Circles

**14- Surface Area & Volume**

1- Solids

Assignment: Solids

2- Surface Area: Prisms & Cylinders

Handout: Surface Area of Prisms & Cylinders Worksheet

Assignment: Surface Area of Prisms & Cylinders

3- Surface Area: Pyramids & Cones

Handout: Surface Area of Pyramids & Cones Worksheet

Assignment: Surface Area of Pyramids & Cones

4- Volume: Prisms & Cylinders

Handout: Volume of Prisms & Cylinders Worksheet

Assignment: Volume of Prisms & Cylinders

5- Volume: Pyramids & Cones

Handout: Volume of Pyramids & Cones Worksheet

Assignment: Volume of Pyramids & Cones

6- Spheres

Handout: Spheres Worksheet

Assignment: Spheres

7- Similar Solids

Handout: Similar Solids Worksheet

Assignment: Similar Solids

**15- Transformations**

1- Symmetry

Assignment: Symmetry

2- Translations

3- Reflections

4- Rotations

Handout: Transformations Worksheet

Assignment: Transformations

5- Dilations

Assignment: Dilations Exploration

**16- Final Exam**

1- Post-test

Assignment: Post-test

Handout: Final Exam

Assignment: Final Exam

**17- Course Survey**

Handout: Course Survey

Assignment: Course Survey

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