March 23, 2022

Introduction to Geometry

Geometry is a branch of mathematics that deals with the measurement, properties, and relationships of lines, triangles, circles, and other geometric shapes. This course introduces you to the study of geometry. By the end of this course, you will be able to • Identify the contribution of Euclid to modern geometry • Use the calculator • Look up terms in the glossary
March 23, 2022

Basic Building Blocks of Geometry

The study of geometry begins with the definitions of basic geometric shapes. In this course, you will learn about points, lines, and other geometric shapes. By the end of this course, you will be able to • Describe points, lines, line segments, rays, and planes • Define the terms collinear, congruent, and coplanar • Describe three-dimensional space
March 23, 2022

Angles

Angles are formed by two rays that have a common endpoint. This course covers angles, how they are named, how they are measured, and different terminology related to angles. By the end of this course, you will be able to • Define an angle • Measure angles using a protractor • Categorize angles based on their measurements • Identify angle pairs
March 23, 2022

Lines

Lines are one-dimensional geometric shapes composed of a set of continuous points that extend infinitely in either direction. This course explores the properties of lines. By the end of this course, you will be able to • Define intersecting and parallel lines • Define perpendicular and oblique lines • Describe a transversal • List the angle pairs created by a transversal
March 23, 2022

Polygons

The term poly means many or much. A polygon is a figure with many sides. This course explores the properties of polygons. By the end of this course, you will be able to • Define the term polygon • Describe interior and exterior angles of a polygon • Define regular and irregular polygons • Perform calculations on the interior and exterior angles of a polygon
March 23, 2022

Triangles

Triangles are polygons that have three sides. You probably see triangles every day in architecture or other areas of life. This course covers the properties of triangles, including right triangles. By the end of this course, you will be able to • Classify triangles based on their angles and sides • Calculate the area of a triangle • Calculate the lengths of the sides of a right triangle using the Pythagorean theorem • Understand the proportions of 30o-60o-90o and 45o-45o-90o right triangles • Calculate the length of a side or the measure of an angle using trigonometric functions
March 23, 2022

Quadrilaterals

A quadrilateral is a polygon with four straight sides. This course introduces quadrilaterals, including the parallelogram, kite, and trapezoid. By the end of this course, you will be able to • Identify quadrilaterals • List the properties of quadrilaterals • Calculate the area of a quadrilaterals
March 23, 2022

Circles

You see circles every day, from the tires on your car, to the rim of your coffee mug. This course covers circles, including how to calculate the area of a circle. By the end of this course, you will be able to • Define a circle • Define terms related to circles, including radius, chord, and diameter • Measure arcs • Define pi • Calculate the circumference of a circle • Calculate the length of an arc • Calculate the area of a circle • Calculate the area of a sector
March 23, 2022

Three-dimensional Shapes

The objects that you interact with each day are three dimensional – they have length, width, and height. In this course, you will learn about three-dimensional shapes and their properties. By the end of this course, you will be able to • Define three-dimensional shapes • Calculate the surface area and volume of a prism • Calculate the surface area and volume of a cylinder • Calculate the surface area and volume of a regular pyramid • Calculate the surface area and volume of a right circular cone • Calculate the surface area and volume of a sphere