New ReviewSequence the learning to a review. Learners work through 21 problems dealing with sequences. They must identify the type of sequence, write a recursive and explicit formula for each sequence, find a specific term. and describe the graph...

New ReviewWrite formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...

No need to fear the Gauntlet of Forking Paths as long as you have your trusted robot companion. The hero of the video series must find the Node of Memory by navigating through a maze that has paths that each lead to two additional paths....

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...

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...

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...

Calculate the term, move to the next—and repeat. Pupils calculate the first five terms of a recursively defined sequence. They explain why the sequence is a function and describe its domain.

Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in the...

Discover the wonders of the Fibonacci sequence. Young computer scientists watch videos on the Fibonacci sequence in nature and use spreadsheets to determine specific values in it. The instructional activity teaches iterative and...

Get siblings to do your work. Scholars learn how to perform summations of arithmetic sequences in an innovative lesson. They use iterations, smaller siblings (tail-end recursion), and the divide-and-conquer approach.

Create higher-order functions using a recursive script. Class members build complicated functions using concepts they already know. Using the recursion process, pupils generalize a procedure that allows them to build more higher-order...

Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...

Roughness is everywhere, contributing to the incredible complexity of the world around us. This complexity, however, is not without it's own unique sense of order. Join world-renown mathematician Benoit Mandelbrot as he looks at numerous...

Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...

High schoolers explore the concept of fractals. In this fractals lesson, students discuss Sierpinski's Triangle using an applet. High schoolers discuss the patterns involved with fractals. Students discuss the area of Sierpinski's...

In this recursion and special sequences worksheet, students determine the first five terms in a sequence. They write a function to match the sequence. This one-page worksheet contains 24 problems.

In this recursion and special sequences worksheet, students find the terms of a sequence. They identify the first three iterates of a given function. This one-page worksheet contains 24 problems.

In this sequences and series worksheet, 11th graders solve and complete 10 different problems that include identifying various sequences and series. First, they find the first six terms of each sequence. Then, students determine the...

In this math worksheet, students investigate repeated values on the calculator. They also read the explanation of the golden triangle and its proof.

Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.

Pupils study basic recursion by exploring patterns in the data they generate from two simple probability-based experiments. In the first, students flip a coin to discover how many times they must flip it before it lands on "heads." They...