What is a sphere? A sphere is a three dimensional version of a circle, like a basketball or a marble. The definition of a sphere is “every point that is the same distance from a single point called the center.” Terms of a Sphere In order to calculate the surface area and volume of a… Continue reading Surface Area of a Sphere
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Volume of a Cube
What is volume? Volume is the measurement of how much space a three dimensional object takes up. On this page we will look at how to figure out the volume of a box. Volume of a Box If you know how to multiply you can find the volume of a cube or box. We learned… Continue reading Volume of a Cube
Finding Surface Area
Skills needed: Multiplication Addition Subtraction Division Polygons In this section we’ll cover the surface area of two-dimensional objects like squares, rectangles, and triangles. The surface area is the total exposed area inside a given boundary. We write area in units squared. Here is an example of surface area using a square: This square is 4… Continue reading Finding Surface Area
Slope
In math, the slope describes how steep a straight line is. It is sometimes called the gradient. Equations for Slope : The slope is defined as the “change in y” over the “change in x” of a line. If you pick two points on a line — (x1,y1) and (x2,y2) — you can calculate the… Continue reading Slope
The Perimeter
Skills needed: Multiplication Addition Subtraction Polygons The perimeter is the length around the outside of a polygon or the path that surrounds an area. This is different from the surface area. The surface area is how much surface is inside the polygon or space. Let’s show the difference between surface area and perimeter by looking… Continue reading The Perimeter
Pythagorean Theorem
Skills needed: Multiplication Exponents Square root Algebra Angles The Pythagorean Theorem helps us to figure out the length of the sides of a right triangle. If a triangle has a right angle (also called a 90 degree angle) then the following formula holds true: a2 + b2 = c2 Note: Here2 is square not a… Continue reading Pythagorean Theorem
Triangles
Triangles are three sided polygons. One of the most interesting things about triangles is that if you sum up the three angles within any triangle, they will always total 180 degrees. This comes in handy when working on geometry problems. There are several types of triangles. Some triangles can be described by their sides, like… Continue reading Triangles
Quadrilaterals
Quadrilaterals are four sided polygons. Some quadrilaterals are probably quite familiar to you like squares and rectangles. A unique property of quadrilaterals is that the sum of all their interior angles always totals 360 degrees. Types of quadrilaterals: Rectangle : A rectangle is a quadrilateral where all four angles are 90 degrees. A square is… Continue reading Quadrilaterals
Polygons
A polygon is a flat figure that is made up of straight lines and is enclosed. A few notes on the definition of a polygon that hopefully will help you remember: Flat – this means it’s a plane figure or two-dimensional Straight lines – these are called segments in geometry Enclosed – all the lines… Continue reading Polygons
Circle Geometry
Skills needed: Multiplication Basic Geometry A circle is an important shape in geometry. There are circles all around us in the real world. We can learn a lot about the real world and how it works by understanding circles. First, what is the official definition of a circle? A circle is a shape that is… Continue reading Circle Geometry