Curated OER
Complex Analysis: Complex Variables
In this complex variable worksheet, students use functional iteration to find the fixed points of a function. This two-page worksheet explains the functional iteration, the Julia Set and the Mandelbrot set. Four problems are included.
DiscoverE
Nanosolutions
There are a billion reasons to use the resource! Well, not quite. A demonstration using food color and water shows scholars the meaning of nano. An iterative process results in diluting the concentration of food coloring by one tenth...
Curated OER
Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
Curated OER
Iterating Linear Functions
Learners use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
Curated OER
Strong Arm Iteration
Young scholars solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Curated OER
Introduction to Arithmetic and Geometric Sequences
Pupils examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Pupils practice determining the starting values to use in order to produce a desired sequence.
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Young scholars 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...
Curated OER
Number and Algebra: Again and Again
Students use a given spreadsheet to investigate an iterative process by changing the variables. They design their own spreadsheet to investigate the iterative process.
Curated OER
Trout Pond
Students demonstrate the use of iteration, recursion and algebra to model and analyze a changing fish population. They use graphs, equations, tables, and technological tools to investigate the effect of varying parameters on the...
Curated OER
NUMB3RS - Season 3 - "Provenance" - Set the Trap
Learners investigate concept of matrices through iteration in this probability lesson. They investigate probability by creating a lesson based on a famous painting. This assignment contains extensions to the lesson.
Curated OER
Properties of Fractals
Learners 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
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
Irregular Fractals
Students 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.
Curated OER
Numerical Analysis
For this math worksheet, students examine the concepts of generalizing root-finding algorithms and fixed point iteration. They also practice using the Fixed Point Theorem.
Curated OER
Numerical Analysis
In this numerical analysis worksheet, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page worksheet contains eight problems.
Curated OER
The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
Curated OER
Getting Familiar with Fractals
Students use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
Howard County Schools
Exponential Decay Exploration
How can you model exponential decay? Explore different situations involving exponential decay functions and decreasing linear functions by performing activities with MandM candy, popcorn kernels, and number cubes.
Curated OER
Numerical Analysis: Solving Linear Equations
In this linear equation worksheet, students compare methods to solve linear equations. This four-page worksheet contains approximately five questions.
Curated OER
Numerical Analysis: Rates of Convergence
In this rates of convergence activity, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page activity contains examples and six...
Curated OER
Analysis of Interactive Methods for Solving Linear Systems
In this interactive method instructional activity, students use several methods to solve iterations and generate solutions for the function. This four-page instructional activity contains approximately ten problems.
Curated OER
Two-Variable Function Pump Exploration Questions
Guiding students through two variable (complex) functions, this learning exercise helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner,...
Teach Engineering
Design Step 5: Construct a Prototype
Enough with the talking, let's build something! In the fifth step in the engineering design process, young engineers build a prototype to test their ideas. The lesson walks them through the process of evaluating it step-by-step....
Code.org
Sending Binary Messages
Pairs build a device that will be able to send a binary message. They then update their device to allow it to send four possible messages before upping the ante to eight. The provided self-assessment rubric comes with reflection...