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Lesson Plan
Microsoft

Iteration

For Teachers 6th - 8th
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.
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Worksheet
Curated OER

Composition of Functions

For Students 11th - Higher Ed
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...
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Lesson Plan
NPR

Iterate to Improve the Prototype

For Teachers 6th - 8th Standards
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...
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Worksheet
Curated OER

Numeral Analysis: Introduction To Fixed Point Iteration

For Students Higher Ed
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.
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Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
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...
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Worksheet
Curated OER

Multivariable Calculus: Iterated Integration

For Students Higher Ed
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.
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Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

For Teachers 6th - 8th
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.
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Lesson Plan
TryEngineering

Recursion: Smaller Sibling Pyramids

For Teachers 3rd - 6th Standards
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.
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Worksheet
Curated OER

Numerical Analysis: Iterative Methods for Solving Linear Equations

For Students Higher Ed
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.
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Lesson Plan
Institute of Electrical and Electronics Engineers

Water Tower Challenge

For Teachers 3rd - 12th Standards
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...
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Activity
Colorado State University

If You Can't Predict the Weather, How Can You Predict the Climate?

For Teachers 6th - 12th Standards
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...
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Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
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...
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Lesson Plan
Trash For Teaching

The Light-House Project

For Teachers 11th - 12th Standards
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...
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Worksheet
Curated OER

Numerical Analysis: Successive Over-Relaxation for Linear Systems

For Students Higher Ed
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...
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Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

For Teachers 9th - 12th
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...
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Lesson Plan
Curated OER

Iterating the Function over Real Numbers

For Teachers 8th - 10th
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.
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Worksheet
Curated OER

Numerical Analysis: Iterative Methods for Solving Systems of Equations

For Students Higher Ed
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.
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Activity
5280 Math

Aquarium Equations

For Teachers 8th - 12th
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...
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Worksheet
Curated OER

Numerical Analysis: Systems of Linear Equations

For Students Higher Ed
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.
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Worksheet
Curated OER

Numerical Analysis

For Students 11th - Higher Ed
In this math worksheet, students practice analyzing iterative methods. Then they use the reading to practice problem solving focusing upon convergence.
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Worksheet
Curated OER

Numerical Analysis: Nonlinear Equations

For Students Higher Ed
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
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Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 10th - 12th
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...
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Worksheet
Curated OER

Sequences and Series

For Students 11th
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...
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Lesson Plan
Curated OER

What are Fractals?

For Teachers 6th - 12th
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...

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