Measurement and Geometry play a large role in society. The videos in this section will focus on conversions, area, surface area, and volume. In College Mathematics, we just do a brief overview of Geometry and do not get into the entire course.
In this section, we will explore different units of measurement and how to complete conversions. We will look at units both in the Customary system as well as the Metric System. The videos include real world applications of each type of conversion. We will also explore how to convert from Celsius to Fahrenheit and vice-versa. Conversions are important to be able to do in the real world. The videos will show how to complete conversions in each type of measurement.
Daily Cost of Light Bulb and Annual Savings for LED
Conversions for Customary Units of Length
Conversions for Customary Units of Weight
Conversions for Customary Units of Capacity
Conversions with the Metric System
Applications of Conversions with the Metric System
Converting Temperatures: Fahrenheit and Celsius
Unit Analysis with a 3-step Problem Solving Approach
Converting Units of Time Using a Chain of Conversions
In this section, we will look at the fundamentals of Geometry. Topics we will cover are points, lines, planes and other basic terms. We will also cover types of angles, complementary and supplementary angles, and types of figures.
Definition of Points, Lines, and Planes
Rays and Angles
Complementary and Supplementary Example with Figure Drawn
Triangles
In this section, we will look at various attributes of triangles. The first topic covered is finding the missing angle measures in a triangle. Remember the sum of the angles of a triangle is always 180 degrees. We will also explore the Pythagorean Theorem. Videos will also cover similar triangles.
Find the Missing Angle Measures in Triangles
How to Find the Area and Perimeter of Triangles
Similar Triangles
Find the Missing Side Length Using the Pythagorean Theorem
In this section, we will look at finding area and perimeter of various shapes. We will look at finding area and perimeter of parallelograms, rectangles, squares, triangles, irregular shapes, and circles.
How to Find the Area and Perimeter of Triangles
How to Find the Area and Perimeter of Rectangles
How to Find the Area and Perimeter of Irregular Shapes
How to Find the Area and Circumference of a Circle
Find Area and Perimeter of Irregular Shapes Involving a Semicircle
Area Application: Which Size Pizza is the Better Deal?
Area Application: Cost of Replacing Sod
Surface Area
In this section, we will learn how to find the surface area of various three-dimensional shapes. The videos will show how to find the surface area of rectangular prisms, cylinders, pyramids, cones, and spheres.
Surface Area of a Rectangular Prism
Surface Area of a Cylinder
Surface Area of a Sphere
Volume
In this section, we will learn how to find the volume of various three-dimensional shapes. The videos will show how to find the volume of cubes, rectangular prisms, cylinders, pyramids, cones, and spheres.
Find Volume of a Cube
Find Volume of a Rectangular Prism
Find Volume of a Right Pyramid
Find Volume of a Cylinder
Find the Volume of a Cone
Find the Volume of a Sphere
Find the Volume of an Irregular Shape (Hemisphere and Cone)