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.
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...
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...
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.
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...
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
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.
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.
Curated OER
Numerical Analysis: Iterative Methods for Solving Linear Equations
In this iterative method learning exercise, students solve linear equations using the Jacobi Iteration or the Gauss-Seidel Iteration. This four-page learning exercise contains approximately eight problems.
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...
Colorado State University
If You Can't Predict the Weather, How Can You Predict the Climate?
Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...
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...
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
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
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
Iterating the Function over Real Numbers
Students use a spreadsheet to find sequences of numbers. In this algebra lesson, students find the values for c of a quadratic written in standard form. They relate the behavior of the graph to the values of the equation.
Curated OER
Numerical Analysis: Iterative Methods for Solving Systems of Equations
In this systems of equations activity, students examine systems of equations. They use a variety of methods to solve the systems of equations. This two-page activity contains approximately eight problems.
5280 Math
Aquarium Equations
Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...
Curated OER
Numerical Analysis: Systems of Linear Equations
In this linear equation learning exercise, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page learning exercise contains approximately three problems.
Curated OER
Numerical Analysis
In this math worksheet, students practice analyzing iterative methods. Then they use the reading to practice problem solving focusing upon convergence.
Curated OER
Numerical Analysis: Nonlinear Equations
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
Curated OER
The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
Curated OER
Sequences and Series
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...
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...