Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...

Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...

Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...

Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...

Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...

Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...

Perform the operation ... and then do it again. Scholars investigate recursive formulas by creating and graphing them. Using the interactive, pupils set the variable, determine the initial value, and type in a recursive formula.The...

In this geometry worksheet, students answer questions about geometric and arithmetic sequences. This lesson is an online interactive lesson.

In this activity, you can see a representation of several geometric series and their limits.

Step through the generation of Sierpinski's Carpet, a fractal made from subdividing a square into nine smaller squares and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.

Step through the generation of the Koch Snowflake, a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.