Interactive
CK-12 Foundation

Explicit Formulas: Tiles for Writing nth Term in a Sequence

For Students 11th - Higher Ed Standards
Build an explicit formula using tiles. Pupils develop a tile representation of a term within a sequence given figures of previous terms. Using the diagrams, learners develop the explicit formula by recognizing the common difference and...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 2)

For Students 11th - Higher Ed
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
Interactive
CK-12 Foundation

Recursive Formulas: Fibonacci Sequence

For Students 11th - Higher Ed Standards
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 3)

For Students 11th - Higher Ed
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
Interactive
Shodor Education Foundation

Recursion

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
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...
Interactive
PHET

Ohm's Law

For Students 6th - 12th Standards
Why did Mr. Ohm marry Mrs. Ohm? He couldn't resistor. An electrifying simulation allows scholars to control both voltage and resistance in order to see the current change. The formula is displayed and as you increase one variable, it...