Flipped Math
Recursive Formulas
Write formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...
Shodor Education Foundation
Sequencer
Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...
Shodor Education Foundation
Recursion
Perform the operation ... and then do it again. Scholars investigate recursive formulas by creating and graphing them. Using the interactive, pupils set the variable, determine the initial value, and type in a recursive formula.The...
CK-12 Foundation
Recursive Formulas: Fibonacci Sequence
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
Balanced Assessment
Local and Global Behavior
Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in the...
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.
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
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
Introduction to Fractals: Geometric Fractals
High schoolers explore the concept of fractals. In this fractals lesson, students discuss Sierpinski's Triangle using an applet. High schoolers discuss the patterns involved with fractals. Students discuss the area of Sierpinski's...
Curated OER
Sequences and Series
For 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
Recursion on a Calculator
In this math worksheet, students investigate repeated values on the calculator. They also read the explanation of the golden triangle and its proof.
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
Curses and Re-Curses! It's Happening Again.
Students study basic recursion by exploring patterns in the data they generate from two simple probability-based experiments. In the first, students flip a coin to discover how many times they must flip it before it lands on "heads."...
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
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
Properties of Fractals
Young scholars 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...
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.
Shodor Education Foundation
Shodor Interactivate: Lesson: Introduction to Arithmetic and Geometric Sequence
This lesson plan offers an introduction to sequences. Through the use of computers, students are able to see what happens to the sequences when multipliers and add on values are changed.
![Pbs Teachers: Toothpicks and Transformations [Pdf] Lesson Plan](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Pbs Teachers: Toothpicks and Transformations [Pdf] Lesson Plan")
PBS
Pbs Teachers: Toothpicks and Transformations [Pdf]
Using calculators, students investigate quadratic functions using geometric toothpick designs in this lesson that with a review of transformations of quadratic functions, vertical and horizontal shifts, and stretches and shrinks.
University of Auckland School of Computer Science
Morris: Recursion
A description of the algorithm technique known as recursion.
Annenberg Foundation
Annenberg Learner: Curses and Recurses! It's Happening Again
As a larger Insights into Algebra workshop for teachers from Annenberg Learning, this lesson plan teaches about recursion by interpreting experiments in probability. Find procedures, assessment questions, teaching strategies, examples of...
Other
Ibm: Mastering Recursive Programming
A discussion of how to write a correct recursive algorithm. Numerous examples are given in several different programming languages.
Shodor Education Foundation
Shodor Interactivate: Emerging Patterns
Students consider the patterns that emerge from agent models and geometric fractals.
Carnegie Mellon University
Recursion: Towers of Hanoi Puzzle
After answering your questions about recursion, try to figure out the Towers of Hanoi puzzle.