Learn how to use a loop to iterate over each element, repeating the same code for each element.

Practice using loops to iterate through lists in programs written in the AP CSP pseudocode.

Making Mathematics provides a brief explanation and a list of examples of iterations.

These discrete math activities utilize the concepts of iteration and recursion. Students work in a group to solve real-world problems.

This activity is a review of iteration. There are three problems to check students' understanding of iteration.

In this lesson students will explore Julia sets and the Mandelbrot set. In the process they will learn about fractals and explore complex numbers and function iteration.

Mangbetu art shows the use of all four geometric transforms: Reflection, Translation, Rotation, and Scaling. This website will provide you with some cultural background on the Mangbetu and their art. The software will allow you to...

Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form.

Fusion is the process at the core of our Sun. What we see as light and feel as warmth is the result of a fusion reaction: hydrogen nuclei collide, fuse into heavier helium atoms and release tremendous amounts of energy in the process.

Conceptual explanation of set theory and the logical foundations of mathematics. Written clearly and avoids technical notation.

This page briefly illustrates and discusses fractals, which are closely linked to the concept of iteration (repitition.) Site links to well known pictured fractals.

This lesson provides an example demonstrating the iterative method of finding the roots of a function using derivatives.

Based off of the hit television show NUMB3RS, this lesson introduces students to the Iterated Prisoner Dilemma, an interesting problem in the realm of Game Theory. Two prisoners are separated and given the opportunity to either "rat out"...

The resource examines applications of partial derivatives. Topics investigated are double integrals, triple integrals, surface area, and iterated integrals. Class notes, definitions, and examples with detailed solutions are included. The...

Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of algorithms. Students are at first given a string of cells (one-dimensional), and then told to iterate the cells according to a couple basic...

This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.

This site introduces the iteration of circle inversions and describes the associated properties.

A great resource for beginners. The site begins with a definition of iteration of functions, and proceeds from there to discuss fractal dimension.

Students learn about the importance of creating and testing prototypes during the engineering design process. They start by building prototypes, which is a special type of model used to test new design ideas. Students gain experience...

Student teams create laparoscopic surgical robots designed to reduce the invasiveness of diagnosing endometriosis and investigate how the disease forms and spreads. Using a synthetic abdominal cavity simulator, students test and iterate...

Students are introduced to the health risks caused by cooking and heating with inefficient cook stoves inside homes, a common practice in rural developing communities. Students simulate the cook stove scenario and use the engineering...

Students use ultrasonic sensors and LEGO MINDSTORMS NXT robots to emulate how bats use echolocation to detect obstacles. They measure the robot's reaction times as it senses objects at two distances and with different sensor threshold...

After completing an associated lesson, students test their understanding in two programming tasks that utilize LEGO MINDSTORMS NXT robots and sound/touch sensors. Students gain practice in the iterative design-program-test-redesign process.

Through this unit, students act as engineers who are given the challenge to design laparoscopic surgical tools. After learning about human anatomy and physiology of the abdominopelvic cavity, especially as it applies to laparoscopic...