# Geometry B (2nd Semester)

## Course Description:

Geometry is the use of Definitions, Postulates and Theorems to build a foundation of concepts, both basic and advanced. Topics studied will include, but not limited to Points, Lines, Planes, Reasoning and Proofs, Coordinate Plane, Angles, Triangles, Quadrilaterals, Polygons, Circles, Area, Volume, Congruence & Inequalities, Pythagorean Theorem, Proportions, Trigonometry, Loci, and Transformations.

## Course Details:

Course Title (District): Geometry B (2nd Semester)
Course Title (NCES SCED) : Geometry
Course Provider : Davison Community Schools
Content Provided By : Davison Community Schools
Online Instructor Provided By : Davison Community Schools
NCES SCED Code :
 Subject Area : Mathematics Course Identifier : Geometry Course Level : (G) General or Regular Available Credit : 1 Sequence : 2 of 2

## How To Enroll:

Email : [email protected] 810-591-3531

Students and Parents: It is important to work closely with your local school counselor or registrar to follow the school's enrollment procedures. By clicking the "Start Registration Request" button below, you will be able to notify the school of your interest in registering for the online course. However, it is the responsibility of the district or school to review the registration request and approve or deny the request. Please make a note to follow up with your school after submitting a registration request.

I can setup and solve a proportion.
I can determine the similarity ratio between two polygons
I can use the similarity statement between two polygons to determine missing information.
I can use the angle bisector theorem to make conclusions and solve for missing side length.
I can use similar triangle theorems with geometric mean to solve for missing side lengths.
I can determine if triangles are similar using SSS, SAS and AA theorems.
I can use triangles that are proven similar to solve for missing sides and angles.
When given two similar figures and the ratio of the perimeters, I can calculate the perimeter and area of each figure.
When given two similar figures and the ratio of the areas, I can calculate the perimeter and area.
I can write ratios for sine, cosine, and tangent.
I can find the length of a side of a right triangle using sine, cosine and tangent.
I can find an angle inside a right triangle using inverse sin, cosine and tangent.
I can use the Pythagorean Theorem to solve for sides in a right triangle.
I can simplify an irrational number.
I can use the converse of the Pythagorean Theorem to determine if a triangle is acute, right or obtuse.
I can use the 30º- 60º- 90º triangles to solve right triangle problems without using the Pythagorean Theorem.
I can use the 45º- 45º- 90º triangles to solve right triangle problems without using the Pythagorean Theorem.
I can find the missing part of a triangle (angle or side) using the Law of Sines.
I can find the missing part of a triangle (angle or side) using the Law of Cosines
I can compute the area of a triangle using the Sine Area Formula: (1/2) a b sin C.
I can represent a vector as a coordinate .
I can convert a vector to a Cartesian coordinate and visa versa.
I can add and subtract two vectors
I will know the properties of reflections and use them to solve algebraic problems.
I will know the properties of rotations and use them to solve algebraic problems.
I will know the properties of translations and use them to solve algebraic problems.
I can find the image of a figure under a reflection.
I can find the image of a figure under a translation.
I can find the image of a figure under a rotation.
I can use the properties of dilations and I can create a dilation.
I can identify the center and magnitude of a given dilation.
I can identify a pre-image and corresponding image and describe the isometry that relates them.
I can identify the relationship between a pre-image and image under a composition of isometries and describe it.
I will know and be able to apply the formula for the area of a triangle: A = ½ b x h
I will know and be able to apply the formula for the area of a parallelogram: A = b ? h
I will know and be able to apply the formula for the area of a trapezoid: A = (b¬1 + b2) ? h ? 2.
I will know and be able to apply the area formula for rhombuses and kites A = ½ d1 x d2 (or apply knowledge of triangle area to these figures)
I can use the formula for the area of a regular polygon (A = ½ a p) to compute the area.
I can use area to calculate Geometric Probability.
I will know the properties of central angles and apply them to arc measure.
I can compute the length of an arc of a circle using proportions
I can compute the area of a sector using proportions.
I can make a net from a cube or other 3D figure.
I can create a 3-D figure from a net using isometric graph paper.
I can identify different cross sections (what shape is created when a solid is “cut” at any angle)
I can identify the different parts of 3-D solids.
I can calculate the surface area of prisms and cylinders.
I can calculate the surface area of pyramids and cones.
I can calculate the volume of prisms and cylinders.
I can calculate the volume of pyramids and cones.
I can calculate the surface area and volume of spheres.
I can draw a tangent to a circle.
I can use the tangent to a circle to solve algebraic problems.
I can identify chords and arcs.
I can use the properties of chords and arcs to solve algebraic problems.
I can identify inscribed angles.
I can use the properties of inscribed angles to solve algebraic problems.
I can make conclusions about segment lengths and angles formed inside, on, or outside a circle.

INACOL Online Course Quality Standards

The goals and objectives clearly state what the participants will know or be able to do at the end of the course. The goals and objectives are measurable in multiple ways. Fully Met
The course content and assignments are aligned with the state’s content standards, Common Core curriculum, or other accepted content standards set for Advanced Placement® courses, technology, computer science, or other courses whose content is not included in the state standards. Fully Met
The course content and assignments are of sufficient rigor, depth and breadth to teach the standards being addressed. Fully Met
Information literacy and communication skills are incorporated and taught as an integral part of the curriculum. Fully Met
Multiple learning resources and materials to increase student success are available to students before the course begins. Fully Met
Course Overview and Introduction Rating Comments
Clear, complete course overview and syllabus are included in the course. Fully Met
Course requirements are consistent with course goals, are representative of the scope of the course and are clearly stated. Fully Met
Information is provided to students, parents and mentors on how to communicate with the online instructor and course provider. Fully Met
Legal and Acceptable Use Policies Rating Comments
The course reflects multi-cultural education, and the content is accurate, current and free of bias or advertising. Fully Met
Expectations for academic integrity, use of copyrighted materials, plagiarism and netiquette (Internet etiquette) regarding lesson activities, discussions, and e-mail communications are clearly stated. Fully Met
Privacy policies are clearly stated. Partially Met Additional Details needed
Online instructor resources and notes are included. Fully Met Resources are avaliable outside the online course.
Assessment and assignment answers and explanations are included. Fully Met Feedback to students on all assignments are given. Hard copies avaliable outside the online course.
Instructional and Audience Analysis Rating Comments
Course design reflects a clear understanding of all students’ needs and incorporates varied ways to learn and master the curriculum. Fully Met
Course, Unit and Lesson Design Rating Comments
The course is organized by units and lessons that fall into a logical sequence. Each unit and lesson includes an overview describing objectives, activities, assignments, assessments, and resources to provide multiple learning opportunities for students to master the content. Fully Met
Instructional Strategies and Activities Rating Comments
The course instruction includes activities that engage students in active learning. Fully Met
The course and course instructor provide students with multiple learning paths, based on student needs that engage students in a variety of ways. Fully Met
The course provides opportunities for students to engage in higher-order thinking, critical reasoning activities and thinking in increasingly complex ways. Fully Met
The course provides options for the instructor to adapt learning activities to accommodate students’ needs. Fully Met
Readability levels, written language assignments and mathematical requirements are appropriate for the course content and grade-level expectations. Fully Met
The course design provides opportunities for appropriate instructor-student interaction, including opportunities for timely and frequent feedback about student progress. Fully Met
The course design includes explicit communication/activities (both before and during the first week of the course) that confirms whether students are engaged and are progressing through the course. The instructor will follow program guidelines to address non-responsive students. Fully Met
The course provides opportunities for appropriate instructor-student and student-student interaction to foster mastery and application of the material. Fully Met
Students have access to resources that enrich the course content. Fully Met
Student evaluation strategies are consistent with course goals and objectives, are representative of the scope of the course and are clearly stated. Fully Met
The course structure includes adequate and appropriate methods and procedures to assess students’ mastery of content. Fully Met
Ongoing, varied, and frequent assessments are conducted throughout the course to inform instruction. Fully Met
Assessment strategies and tools make the student continuously aware of his/her progress in class and mastery of the content. Fully Met
Assessment Resources and Materials Rating Comments
Assessment materials provide the instructor with the flexibility to assess students in a variety of ways. Fully Met
Grading rubrics are provided to the instructor and may be shared with students. Fully Met
The grading policy and practices are easy to understand. Fully Met
The course architecture permits the online instructor to add content, activities and assessments to extend learning opportunities. Fully Met
The course accommodates multiple school calendars; e.g., block, 4X4 and traditional schedules. Fully Met
Clear and consistent navigation is present throughout the course. Fully Met
Rich media are provided in multiple formats for ease of use and access in order to address diverse student needs. Fully Met
Technology Requirements and Interoperability Rating Comments
All technology requirements (including hardware, browser, software, etc...) are specified. Fully Met
Prerequisite skills in the use of technology are identified. Partially Met How to teach students the skills necessary for success in an online class are be planned.
The course uses content-specific tools and software appropriately. Fully Met
The course is designed to meet internationally recognized interoperability standards. Partially Met Not sure of all the internationally standards that are needed to be met.
Copyright and licensing status, including permission to share where applicable, is clearly stated and easily found. Fully Met To the best of my knowledge.
Course materials and activities are designed to provide appropriate access to all students. The course, developed with universal design principles in mind, conforms to the U.S. Section 504 and Section 508 provisions for electronic and information technology as well as the W3C’s Web Content Accessibility guidelines (WCAg 2.0). Fully Met
Student information remains confidential, as required by the Family Educational Rights and Privacy Act (FERPA). Fully Met
The course provider uses multiple ways of assessing course effectiveness. Fully Met
The course is evaluated using a continuous improvement cycle for effectiveness and the findings used as a basis for improvement. Partially Met Adding student survey to course
The course is updated periodically to ensure that the content is current. Fully Met
Course instructors, whether faceto-face or virtual, are certificated and “highly qualified.” The online course teacher possesses a teaching credential from a state-licensing agency and is “highly qualified” as defined under ESEA. Fully Met
Instructor and Student Support Rating Comments
Professional development about the online course delivery system is offered by the provider to assure effective use of the courseware and various instructional media available. Fully Met
The course provider offers technical support and course management assistance to students, the course instructor, and the school coordinator. Fully Met
Course instructors, whether face-to-face or virtual, have been provided professional development in the behavioral, social, and when necessary, emotional, aspects of the learning environment. Fully Met
Course instructors, whether face-to-face or virtual, receive instructor professional development, which includes the support and use of a variety of communication modes to stimulate student engagement online. Fully Met
The provider assures that course instructors, whether face-to-face or virtual, are provided support, as needed, to ensure their effectiveness and success in meeting the needs of online students. Fully Met
Students are offered an orientation for taking an online course before starting the coursework. Fully Met

Review Conducted By : Davison Community Schools
Date of Review : 01/09/2014

a. Similarity
b. Right Triangles and Trigonometry
c. Transformations
d. Polygons
e. Solids
f. Further Exploration with Circles

Term Type Enrollment Opens Enrollment Ends Random Draw Date Enrollment Drop Date Course Starts Course Ends # of Seats Course Fee Potential Additional Costs
Semester 09/01/2020 10/01/2020 09/08/2020 01/29/2021 32 \$300.0000 0.0000
Semester 01/25/2021 02/26/2021 02/01/2021 06/18/2021 35 \$300.0000 0.0000
Drop Policy Completion Policy Term Type Enrollment Opens Enrollment Ends
Courses must be dropped by the drop date for the course. Students dropping the course after the drop date will be charged the full fee for the course. Course must be completed by the course end date. Semester 09/01/2020 10/01/2020
Courses must be dropped by the drop date for the course. Students dropping the course after the drop date will be charged the full fee for the course. Course must be completed by the course end date. Semester 01/25/2021 02/26/2021

This course is designed as a semester course/18 weeks. Students must be able to spend 1 or more hours per day in the course to be successful. Instructors are expected to contact students and provide feedback multiple times per unit.

School Year Enrollment Count Pass Count Completion Rate Notes
17-18 3 1 33.3% Crongeyer, Lauren (formerly Draper)
18-19 4 4 100.0%

Computer or tablet in working function
Reliable internet access.