Worksheet
Curated OER

Sequences and Series

For Students 11th
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...
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.
Lesson Plan
Curated OER

Introduction to Arithmetic and Geometric Sequences

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

Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Young scholars identify the end behavior of polynomial graphs. In this algebra instructional activity, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of...
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.
Lesson Plan
Curated OER

Iterating Linear Functions

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

The Sierpinski Triangle

For Teachers 9th - 10th
Students investigate the Sierpinski triangle. In this geometry activity, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
Lesson Plan
Curated OER

Getting Familiar with Fractals

For Teachers 9th - 12th
High schoolers 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.
Activity
1
1
Agile Mind

Isabella’s Credit Card

For Teachers 8th - 12th Standards
An in-depth activity that involves a real-world problem about credit card debt. Learners are given a scenario in which Isabella plans to stop using her credit card and pay off the balance by paying a fixed amount each month. The first...
Worksheet
Curated OER

Numerical Analysis: Rates of Convergence

For Students 11th - Higher Ed
In this rates of convergence instructional activity, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page instructional activity...
Lesson Plan
Curated OER

Fractals Rock

For Teachers 9th - 11th
Students identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
Lesson Plan
Curated OER

Fractals Rock: Investing the Fractal Tree

For Teachers 9th - 10th
Students investigate the relationship between fractals and sequences. In this geometry instructional activity, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
Lesson Plan
Curated OER

Koch Snowflake

For Teachers 9th - 10th
Students investigate Koch's Snowflake. In this geometry lesson, students identify the properties of creating Koch's snowflake. They solve problems dealing with fractals and patterns.
Lesson Plan
Code.org

Creativity in Algorithms

For Teachers 9th - 12th
Groups work with the program they built in the previous instructional activity to make it more creative. The resource challenges pupils to add functionality to their existing programs by adding a new command.
Worksheet
Curated OER

Numerical Analysis

For Students 11th - Higher Ed
In this math worksheet, students examine the concepts of generalizing root-finding algorithms and fixed point iteration. They also practice using the Fixed Point Theorem.
Lesson Plan
Curated OER

Investigating the Sierpinski Triangle

For Teachers 9th - 11th
Students solve and analyze the sierpinski's triangle. In this geometry lesson, students identify properties and theorem of triangles. They solve problems involving angles and sides of triangles.
Lesson Plan
Curated OER

Fractals: Koch Snowflake

For Teachers 9th - 11th
Students investigate the properties of Koch's snowflake. In this geometry lesson, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.
Worksheet
Curated OER

Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods

For Students Higher Ed
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
Worksheet
Curated OER

Numerical Analysis: Solving Systems Of Non-Linear Equations

For Students Higher Ed
In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
Lesson Plan
Curated OER

Sorting

For Teachers K
Students sort a variety of manipulatives and use a software program that provides more sorting practice.