Curated OER
Properties of Matter (Biomaterial Through Nanotechnology)
Students investigate friction between different surfaces. In this physics lesson, students research biomaterials that can reduce friction. They calculate efficiency using a mathematical formula.
Other
Montana State University: Analyzing a Periodic Function
A complex analysis of periodic functions, including advanced calculus and theorems. Includes many graphs.
Analyze Math
Analyze Math: Periodic Functions
The interactive tutorial examines periodic functions. Learners use the applet to manipulate the shape, period, and shift of periodic functions.
Wolfram Research
Wolfram Math World: Periodic Function
This site gives a brief definition of a periodic function with related links, a visual example of the sine function with it's period specified. Also with this link you will find the period of a constant function.
Cuemath
Cuemath: Cosine Function
Learn more about cosine functions by exploring unit circles, and angles, how to use them, and their various applications along with some solved examples and a few interactive questions to test your understanding.
Cuemath
Cuemath: Sine Function
A comprehensive guide for learning all about the sine function, unit circle and angles, how to use them, and their various applications. Check out the solved examples and practice questions for better understanding.
CK-12 Foundation
Ck 12: Algebra Ii: 4.7 Modeling Periodic Behavior
This lesson will explore how real life examples of periodic behavior can be modeled with Trigonometric Functions.
Interactive Mathematics
Interactive Mathematics: Graphs of the Trigonometric Functions
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Texas Instruments
Texas Instruments: Swinging Along
Students model the data from the motion of a pendulum by a periodic function. They relate its parameters to the time for one period, the distance it is pulled back, and its distance from the motion detector.
Khan Academy
Khan Academy: Periodicity of Algebraic Models
Given the graph that models a real-world context, answer a question about the periodicity of the graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Periodicity of Algebraic Models
Given the graph that models a real world context, answer a question about the periodicity of the graph.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Circular Functions, Periodicity and Symmetry
Eighteen problems offer practice working with circular functions, periodicity and symmetry. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Google
Google for Education: Patterns in the Periodic Table
Students study trends in the periodic table of elements, supplemented by the use of spreadsheet functions. The spreadsheet functions presented can be used on any data set.
Khan Academy
Khan Academy: Algebra Ii: Modeling With Sinusoidal Functions
Given the description of a real-world relationship, find the sinusoidal function that models it. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Modeling With Sinusoidal Functions: Phase Shift
Given the description of a real-world relationship, find the sinusoidal function that models it. The functions in this exercise have a phase (horizontal) shift. Students receive immediate feedback and have the opportunity to try...
Illustrative Mathematics
Illustrative Mathematics: F if Model Airplane Acrobatics
In this task, a model airplane pilot is practicing flying her airplane in a big loop for an upcoming competition. The task could serve as an introduction to periodic functions and as a lead-in to sinusoidal functions. By visualizing the...
Khan Academy
Khan Academy: Algebra Ii: Construct Sinusoidal Functions
Given a few features of a sinusoidal function, find its formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Key Curriculum Press Precalculus: Periodic Daily Temperature
Students will transform the cosine function so that it fits, approximately, data on the average daily temperatures for a city.
Other
Desmos: Modeling Bundle
A collection of activities where students investigate mathematical modeling. Activities involve different types of functions, how to examine context and decide on a model, and limitations.
Purple Math
Purplemath: Trigonometric Functions and Their Graphs
Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.
Analyze Math
Analyze Math: Fourier Series of Periodic Functions
The tutorial investigates the Fourier series. The resource consists of an example that shows how Fourier coefficients are calculated and an interactive applet that examines the Fourier series.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Procedimiento Para Analizar Una Funcion
Use this unit to learn and practice the general procedure for representing curves in the form y=f(x). It provides a more advanced look at polynomial and rational functions with interactive graphs.
Environmental Chemistry
Periodic Table of Elements: Gallium
A very detailed look at the element Gallium, a member of the Boron Group.
Environmental Chemistry
Periodic Table of Elements: Indium
A very detailed look at the element Indium, a member of the Boron Group.