Math Patterns

This online activity challenges students to find the next three numbers in a pattern. Your students will find a limitless supply of patterns to decipher in this engaging online activity.

Fret Measurements and Placement

This experiment is divided into two lessons. The first lesson stresses the importance of accurate measurements when it comes to frets on an instrument. Students will measure lengths on instruments with frets and calculate the ratio of consecutive lengths. They will learn about the concept of precision, and about the U.S. and metric measuring systems. Once students have figured out the ratio, they will then create a geometric sequence that will give an exact location of each fret. In the second lesson, students will determine where to place frets on an instrument using a geometric sequence.

Seeing Music: A Geometric Sequence

In this lesson, students will calculate terms of a geometric sequence to determine frequencies of the chromatic scale. They will examine sine waves to realize the trigonometry that exists behind harmonious and dissonant note combinations. They will also learn terms such as frequency, scales, and octaves. This resource includes sound clips of various instruments playing chromatic scales.

Spooky Sequence 5's

Players are shown ghosts in a numerical sequence with a number missing. They are asked to determine the missing number, and if they choose correctly, are awarded with a point and progress further into the game.

Spooky Sequence 2's

Players are shown ghosts in a numerical sequence with a missing number. They are asked to figure out the missing number and if they choose correctly the player gains a point and proceeds further into the game.

Spooky Sequence 1's

Players are shown ghosts in a numerical sequence that is missing one number. They must figure out the number missing in order to gain a point and proceed with the game.

Golden Ratio

In this lesson, students learn about how the Golden Ratio is created: through the ratios of two consecutive Fibonacci numbers. Students will begin by filling out an activity sheet about the Fibonacci Sequence. They will then learn background information about the Fibonacci Sequence, through a provided PDF activity sheet entitled "Fibonacci in Nature". Students will then have an opportunity to come up with their own ratios measuring their body parts and use the resulting numbers to come up with the Golden Ratio. Students will enter the data into spreadsheets and draw rectangles that are in the Golden Ratio.

Missing Number

This simple game allows students to practice filling in a missing number in a sequence of 4 numbers. This is a good tool for students to practice mental addition and subtraction and their recognition of simple arithmetic patterns.

Spooky Sequence 10's

Players are shown ghosts with numbers on them. One ghost is missing a number and the player must figure out the number in order to gain a point and progress further into the game.

Armstrong Numbers

In this activity, students will learn about an "Armstrong number", identifying all the numbers below 1,000, and explore a recursive sequence that will allow students to find the pattern. Throughout the exercise, students will use spreadsheets to organize their data. This website includes follow-up questions that instructors can ask students for reinforcement.