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Flipped Math

#### Recursive Formulas

For Students 9th - 10th Standards
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...
Interactive
Shodor Education Foundation

#### Sequencer

For Students 9th - 12th Standards
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...
Interactive
Shodor Education Foundation

#### Recursion

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

#### Recursive Formulas: Fibonacci Sequence

For Students 11th - Higher Ed Standards
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...
Assessment
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Balanced Assessment

#### Local and Global Behavior

For Students 11th - 12th Standards
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...
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.
Unit Plan
Mathematics Vision Project

#### Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
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...
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.
Lesson Plan
Curated OER

#### Introduction to Fractals: Geometric Fractals

For Teachers 9th - 12th
Learners explore the concept of fractals. For this fractals lesson, students discuss Sierpinski's Triangle using an applet. Learners discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
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...
Lesson Plan
Curated OER

#### Recursion on a Calculator

For Teachers 10th - Higher Ed
In this math worksheet, students investigate repeated values on the calculator. They also read the explanation of the golden triangle and its proof.
Lesson Plan
Curated OER

#### Introduction to Arithmetic and Geometric Sequences

For Teachers 5th - 12th
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.
Lesson Plan
Curated OER

#### Curses and Re-Curses! It's Happening Again.

For Teachers 7th - 9th
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."...
Lesson Plan
Curated OER

#### Introduction to Fractals: Infinity, Self-Similarity and Recursion

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

#### The Mandelbrot Set

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

#### Properties of Fractals

For Teachers 6th - 8th
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...
Lesson Plan
Curated OER

#### Irregular Fractals

For Teachers 6th - 8th
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.