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Product ID: MBY6
Price: $249.00
Geometry—from the Greek words ge (earth) and metrein (to measure)—is a study of the properties of points, lines, angles, surfaces, and solids. Dating back to 300 B.C., it helps students learn how to reason logically, and its principles are used by surveyors, architects, engineers, contractors, navigators, pilots, carpenters, landscape artists, photographers, designers, painters, scientists, and numerous other professionals.
Course Description
This course includes four study units:
- Points, Lines, Planes, and Angles
- Polygons and Triangles
- Circles
- Solids.
Also included is an answer key supplement. Four exams.
Also included: Answer Key Supplement, with solutions to the Practice Exercise problems in the study units.
Course Objectives
Upon completion of this course, students will be able to:
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Define solid, plane, line, point, parallel, transversal, and radian
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Identify the dimensions of solids, planes, lines, and points
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Describe the various types of lines, triangles, and polygons
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Define all terms related to angles, their measurement, their size, and their location
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Add and subtract angle measurements that contain degrees, minutes, and seconds
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Calculate angle sizes and the areas of polygons
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Identify and use the tools necessary for drawing simple geometric figures
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Construct precise circles, angles, perpendiculars, angle bisectors, and parallel lines
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Classify triangles according to their angles and the lengths of their sides
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Define terms related to triangles and other polygons
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Solve proportion problems
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Calculate the interior angles of polygons with a different number of sides
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Define and identify the parts of a circle: arc, chord, tangent, secant, segment, central angles, inscribed angles, and sector
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Identify equal circles and equal parts of circles
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Use various properties of circles to solve practical problems
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Calculate the circumference and area of a circle, and the area of a sector
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Convert degrees to radians, and radians to degrees
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Calculate the length of an arc, and the area and circumference of an ellipse
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Define, identify, and calculate the surface area and volume of prisms, cylinders,
pyramids, cones, frustums, spheres, cylindrical rings, and prismoids
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Solve for missing dimensions in solids
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Use geometry to solve a wide range of practical problems
Course Outline
Study Unit 1: Points, Lines, Planes, and Angles
Introduction to Geometry; Definitions of Geometric Solids, Planes, Spheres, Cylinders, Cones, Lines, Points, and Angles; Kinds of Lines; Adjacent and Vertical Angles; Size of an Angle; How to Measure Angles; Kinds of Angles; More About Lines; Adding and Subtracting Angle Measurements; Facts about Angles; Some Practical Applications; Drawing Figures and Angles; Tools for Drawing; Bisecting Angles; Parallel Lines
Study Unit 2: Polygons and Triangles
Polygon Defined; Classification of Polygons; Related Terms; Triangles Defined; Types of Triangles; Related Terms; Base; Altitude; Useful Facts about Angles of Triangles; Areas of a Triangle; Congruent Triangles; Isosceles Triangles; Right Triangles; Review of Ratios and Proportions; Proportional Line Segments; Similar Polygons; Constructing Triangles; Scale Drawings; Projections in Triangles; Other Polygons; Quadrilaterals
Study Unit 3: Circles
Introduction; Parts of a Circle; Drawing a Circle; Arcs; Chords; Tangents; Secants; Segments; Central and Inscribed Angles; Sectors; Inscribed and Circumscribed Polygons and Circles; Equalities in Circles; Properties of Circles; Applications; Circumference; Length of Arc; Radians; Areas of Circular Figures; Formulas; Ellipse
Study Unit 4: Solids
Introduction to Prisms and Cylinders; Types of Prisms; Areas of Prisms; Volume of a Rectangular Solid; Areas and Volumes of Cylinders, Pyramids, and Cones; Frustrums; Areas and Volumes of Frustrums; Areas and Volumes of Spheres and Cylindrical Rings; Plane Sections; Areas and Volumes of Unusual Figures; Prismoidal Formula
How it Works
After registering for the Geometry course, all of your learning materials will be shipped directly to you. If you like, you can also go to our website and download some of your study materials to get a head start. Your learning materials will guide you through the course content, explaining concepts and operations through a series of lessons. After each lesson, you’ll take an exam which you can submit by phone or our website. As you pass each lesson, you’ll proceed to the next topic until you complete the course.
There are four exams that need to be passed to complete your course in Geometry and you’ll have up to 15 weeks to complete the course.
Support
If you should ever need help with your studies, you can e-mail or call our instructors who will gladly help you with any questions that you might have.
Study Time
Since there is no set class schedule, you study when and where it’s convenient for you. You can complete your course as quickly as you’d like.
Completion
When you have successfully completed your course, you will receive a letter of completion along with an official transcript listing your completed course(s) and grades. You can apply your course towards our Diploma Program or a diploma from your local High School (be sure to check with your school authorities regarding mandatory attendance policies and whether they agree that the Penn Foster High School Program is acceptable toward the completion of your high school education).
Accreditation
Penn Foster High School is accredited by The Middle States Commission on Secondary Schools; has met the high standards of integrity and performance set by the Accrediting Commission of the Distance Education and Training Council (DETC), Washington D.C., and is licensed by the Pennsylvania State Board of Private Licensed Schools.
Whether you’re looking for accelerated studies or credit recovery, regionally and nationally accredited Penn Foster High School provides the courses you need to complete your High School Diploma.
Geometry (1 credit)
Product ID: MBY6
Price: $249.00
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