Institute of Electrical and Electronics Engineers
Water Tower Challenge
Providing clean water to a town is quite a feat... is your class up for the challenge? After a short reading about water towers, groups work together to design a working water delivery system. The water flow must be adjustable (able to...
Microsoft
Iteration
Learn to code, play, then repeat. The fourth of nine installments in the Intro to CS with MakeCode unit focuses on how to apply iterations in Minecraft. Scholars use the Agent feature and have it dance and build a farm.
CK-12 Foundation
Newton's Method
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
CK-12 Foundation
Newton's Method
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
NPR
Iterate to Improve the Prototype
Strive for perfection. Based on peer feedback, groups identify ways to improve their prototypes of the solution to the plastics problem. Members must come up with at least two ideas for improvements. This is the eighth instructional...
TryEngineering
Recursion: Smaller Sibling Pyramids
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.
Trash For Teaching
The Light-House Project
Groups work together to design a lighthouse, from designing and drawing the wiring diagram, to creating prototypes of the switch and circuit, to envisioning and building a scale model along with a blueprint. By including different...
Curated OER
Composition of Functions
In this composition of functions worksheet, students solve and complete 7 different problems related to various functions. First, they define a function, its domain and range, and also the composition of functions. Then, students solve...
Curated OER
Introduction to Fractals: Geometric Fractals
Students 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. Students complete worksheets based on Geometric Fractals.
Curated OER
What are Fractals?
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
Curated OER
Introduction to Fractals: Geometric Fractals
Students explore the concept of fractals. In this fractals instructional activity, students discuss Sierpinski's Triangle using an applet. Students discuss the patterns involved with fractals. Students discuss the area of Sierpinski's...
Curated OER
Multivariable Calculus: Iterated Integration
In this iterated integration worksheet, students evaluate iterated integrals over rectangular and non-rectangular regions. This two-page worksheet contains explanations and examples. It contains three problems for students to work.
Curated OER
Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
Curated OER
Numeral Analysis: Introduction To Fixed Point Iteration
In this fixed point iteration worksheet, students use given theorems to determine converged functional iteration. This six-page worksheet contains five problems. Explanations and examples are provided.
Curated OER
Introduction to Arithmetic and Geometric Sequences
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.
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
Curated OER
Chaos
Students experiment with several chaotic simulation, they build a working definition of chaos. Students reinforce their knowledge of basic probability and percents. They are reminded of previous knowledge that is pertinent to this...
Curated OER
Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
Curated OER
Irregular Fractals
Middle schoolers study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.