Chandler Unified School District
Art Masterpiece—Leonardo da Vinci Inventions
After getting to know the inventor, Leonardo da Vinci and his many inventions, scholars think up their own invention. Following a written description and a hand-drawn picture, learners use a method of mirror writing and antiquing to give...
101 Questions
File Cabinet
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help high schoolers gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the...
Howard Hughes Medical Institute
Viral Lysis and Budding
How do some viruses spread so quickly, and why do they make us feel terrible? Answer these (and many more) questions through a simple yet impactful lessons. Pupils observe demonstrations that show the two methods viruses use to escape...
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Harvey Mudd College
Harvey Mudd College: Concavity and the Second Derivative Test
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
Texas Instruments
Texas Instruments: Relating Graphs of a Function to Derivatives
Students will be lead to discover the relationship between the graph of a function, graph of first derivative, and graph of the second derivative using TI-InterActive!.
Interactive Mathematics
Interactive Mathematics: Higher Derivatives
Examples of taking the second derivatives of functions is presented and applied a the real world problem involving acceleration.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Applications of the Derivative
The topic summary outlines derivate applications. Some topics reviewed are second derivative, relative extrema, and related rates. The resource consists of definitions, notes, and examples.
Texas Instruments
Texas Instruments: Derivatives
This is a set of problems involving the concepts of derivatives. The problems are similar to those encountered during the second quarter of a typical calculus course.
Texas Instruments
Texas Instruments: Graphing Relationships
In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Funcion Derivada
In Spanish. Learn with these interactive exercises the concept of the derivative of a function, calculate tangents to a curve and maximum and minimum values of functions.
Texas Instruments
Texas Instruments: Differential Equations
In this activity, students analyze first order, second order, and autonomous systems of two first order differential equations.
Texas Instruments
Texas Instruments: Higher Order Differential Equations
In this activity, students use the calculator to graph the solution to a second-order and third-order differential equations. They convert higher order differential equations by substitution to a system of first order differential...
Harvey Mudd College
Harvey Mudd College: Parametric Equations
Explanations and examples of parametric equations--in which a curve is traced out over time, sometimes doubling back on itself or crossing itself.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Instantaneous Velocity and Related Rates
Here is a site that clearly and thoroughly explains instantaneous velocity and how to solve related rates problems by using implicit differentiation. There are example problems solved, problems for the student to attempt, and answers to...
Interactive Mathematics
Interactive Mathematics: Harmonic Analysis
Derived from the Fourier series, the harmonic series can be used to represent even and odd functions. Definitions of second and third harmonics are also provided.
Interactive Mathematics
Interactive Mathematics: Line Spectrum
Using Fourier and Harmonic series, the line spectrums of functions are derived and represented on graphs. Several music examples show the connection between harmonics and sound.
Texas Instruments
Texas Instruments: Conics: Circles
In this study of conics, students will examine the derivation of equations for circles. There are two general equations for circles. The first is a circle whose center is at the origin, while the second is a circle whose center is not at...