Mathematics

Learn about topics and get worked problems in all areas of math, including arithmetic, algebra, geometry, calculus, probability, statistics, and trigonometry.

Trapezoid — Area formulas and perimeter formulas are formulas that pop up often in different homework problems. Examples include problems involving pressure, mechanical torque and electric resistance. You could just memorize these formulas, but why do that when this handy reference is available? Triangle Area Formula and Triangle Perimeter Formula A triangle […]

Area Formulas and Perimeter Formulas

This entry was posted on June 21, 2017 by Todd Helmenstine (updated on July 18, 2023)

Graphing Linear Functions Worksheet Answer Sheet — Linear functions are functions where the solution forms a straight line. This worksheet will give you a chance to practice graphing these functions. The equations included in this worksheet are all simple equations where the graph will fit on the included 10×10 grid. Download the PDF and sketch the graph […]

Graphing Linear Functions Practice Worksheet

This entry was posted on September 26, 2016 by Todd Helmenstine (updated on May 17, 2021)

Slope Intercept Example 1 Graph — Slope intercept form is a function of a straight line with the form y = mx + bwherem is the slope of the line andb is the y-intercept. Slope refers to how steep the line changes as the values of x change where the y-intercept is where the line crosses the […]

Slope Intercept Form – Equation of a Line Example

This entry was posted on September 21, 2016 by Todd Helmenstine (updated on May 17, 2021)

Graph of a Line 2 — What is slope? Simply put, slope refers to the steepness of a line. The larger the slope, the steeper the line. Slope is often referred to as ‘rise over run’ because it is calculated by the change in the vertical (rise) divided by the change in the horizontal (run). When […]

What Is Slope? How to Find the Slope of a ...

This entry was posted on September 17, 2016 by Todd Helmenstine (updated on May 17, 2021)

Squirrel and Nut Trigonometry Example — SOHCAHTOA is the mnemonic used to remember which sides of a right triangle are used to find the ratios needed to determine the sine, cosine or tangent of an angle. Here are a pair of SOHCAHTOA example problems to help show how to use these relationships. If you have no […]

SOHCAHTOA Example Problem – Trigonometry Help

This entry was posted on September 8, 2016 by Todd Helmenstine (updated on February 4, 2025)

Right triangles are extremely common in science homework. Even though they are common, they can be confusing to new students. That is why we have the Egyptian god SOHCAHTOA. SOHCAHTOA is a handy mnemonic trigonometry students learn to remember which sides of a triangle are used for the three main […]

Right Triangle Trigonometry and SOHCAHTOA

This entry was posted on September 4, 2016 by Todd Helmenstine (updated on February 4, 2025)

Mandelbrot Fractal — Since I’ve started making fractal art, I’ve been asked many times, “What is a fractal?” and “Yes, they look pretty, but what good are they?” Here are the basics. What Is a Fractal? A fractal is a mathematical equation that displays a repeating pattern, no matter what scale you examine […]

What a Fractal Is and Why You Should Care

This entry was posted on May 12, 2016 by Anne Helmenstine (updated on May 6, 2025)

Cool Math Trick Using 1 — Math is like magic, except better! Here is a collection of cool math tricks you can learn to amaze your friends and learn more about how numbers work. The 11 Rule Everyone knows the “10 Rule” where you multiply by 10 simply by adding a 0 to the end of […]

Cool Math Tricks to Amaze Your Friends

This entry was posted on April 7, 2016 by Anne Helmenstine (updated on May 28, 2025)

Standard deviation is a measurement of how spread out the numbers are of a set of data values. The closer the standard deviation is to zero, the closer the data points are to the mean. Large values of standard deviation indicate the data spreads out away from the mean. Here is how […]

How to Calculate Standard Deviation

This entry was posted on May 6, 2015 by Todd Helmenstine (updated on November 8, 2021)