Sec 4.2 circles and volume inscribed angles

C:\Users\djshirey\OneDrive - University of Phoenix\F_Drive\Style Guides\UPX Logos\Horizontal format\UOPX_Sig_Hor_Black_Medium.pngMTH/210: Fundamentals of Geometry
Course Information
Credits
3.0

Description
This course is designed to have students demonstrate the ability to use fundamental concepts of geometry including definitions, tools of geometry, and to recognize geometry as an axiomatic system.

Course Student Learning Outcomes
1.1 State problems about points, lines, and planes.

1.2 Solve problems involving segments, rays, and angles.

1.3 Apply inductive reasoning, deductive reasoning, and axiomatic systems.

1.4 Write formal geometric proofs.

1.5 Write conditional, converse, inverse, and contrapositive statements.

2.1 Classify different types of triangles.

2.2 Apply the properties of congruent triangles.

2.3 Apply properties of parallel lines, transversals, and angles.

2.4 Solve problems involving angles and sides of polygons.

2.5 Solve application problems involving triangles and parallel lines.

3.1 Identify the properties of different quadrilaterals.

3.2 Analyze the properties of special quadrilaterals.

3.3 Use the properties of similar polygons.

3.4 Solve problems involving the Pythagorean Theorem.

3.5 Apply the triangle inequality theorem.

4.1 Use the properties of circles and related components.

4.2 Determine the measure of inscribed angles and arcs.

4.3 Solve problems involving chords, secants, and tangent of circles.

4.4 Calculate the area of polygons.

5.1 Describe the behavior of lines and planes in space.

5.2 Solve problems involving components of solid figures.

5.3 Determine the surface area of solids.

5.4 Determine the volume of solids.

5.5 Write trigonometric ratios.

5.6 Solve for missing parts of Triangles.

Materials
Textbook
Lial, M., Brown, B., Steffensen, A., Murphy Johnson, L. (2004). Essentials of Geometry for College Students. (2nd ed.). Boston: MA. Pearson

Tools
MyMathLab

Schedule Overview
Note: Assignments are due day 7 unless indicated otherwise. Discussion Boards: initial post due day 3 and two required responses due day 7.

Wk and Topic

Activities

Assignments and Points

Wk 1 - Foundations of Geometry

· How to Successfully Use MyMathLab®

· Essentials of Geometry for College Students, Ch. 1, Sections 1.1-1.5

· Week 1 Videos

· PhoenixConnect Math Help Community

· Faculty Feedback

· Live Math Tutoring (Optional)

· Wk 1 Discussion – Inductive vs Deductive Reasoning – 35 points

· Introduction to Blackboard Ultra Quiz – 5 points

· MyMathLab® Orientation – 10 points

· MyMathLab® Study Plan for Weekly Checkpoint – 70 points

· Weekly MyMathLab® Checkpoint – 50 points

· Proof Problem Worksheet – 20 points

Wk 2 - Triangles, Parallel Lines, and Polygons

· Essentials of Geometry for College Students, Ch. 2, Sections 2.1-2.2 & 2.4

· Essentials of Geometry for College Students, Ch. 3

· Week 2 Videos

· Faculty Feedback

· Live Math Tutoring (Optional)

· Wk 2 Discussion – Triangles – 40 points

· MyMathLab® Study Plan for Weekly Checkpoint – 70 points

· Weekly MyMathLab® Checkpoint – 50 points

Wk 3 - Quadrilaterals, Similar Polygons, and the Pythagorean Theorem

· Essentials of Geometry for College Students, Ch. 4

· Essentials of Geometry for College Students, Ch. 5

· Week 3 Videos

· Faculty Feedback

· Live Math Tutoring (Optional)

· Wk 3 Discussion – Pythagorean Theorem – 40 points

· MyMathLab® Study Plan for Weekly Checkpoint – 70 points

· Weekly MyMathLab® Checkpoint – 50 points

Wk 4 - Circles and Areas of Polygons

· Essentials of Geometry for College Students, Ch. 6, Section 6.1-6.4

· Essentials of Geometry for College Students, Ch. 7

· Week 4 Videos

· Faculty Feedback

· Live Math Tutoring (Optional)

· Wk 4 Discussion – Circles – 40 points

· MyMathLab® Study Plan for Weekly Checkpoint – 70 points

· Weekly MyMathLab® Checkpoint – 50 points

Wk 5 - Introduction to Solid Geometry

· Essentials of Geometry for College Students, Ch. 8

· Essentials of Geometry for College Students, Ch. 10

· Week 5 Videos

· Faculty Feedback

· Live Math Tutoring (Optional)

· Wk 5 Discussion – Prisms – 40 points

· MyMathLab® Study Plan for Final Exam – 100 points

· Missing Parts of Triangles Worksheet – 40 points

· Weekly MyMathLab® Final Exam – 150 points

Academic Policies & Procedures
Read the Blackboard Academic Policies & Procedures for information about the weekly schedule, assignments and grades, attendance, academic integrity and requirements, and disability services.