Worksheet
Curated OER

Differentiation

For Students Higher Ed
In this college level calculus worksheet, students differentiate functions including logarithms and trigonometric functions.  The two page worksheet contains twenty-six problems.  Answers are not provided. 
Lesson Plan
Curated OER

Differentials

For Teachers 9th - 12th
Young scholars engage in a lesson that is about finding the differentials of an equation. They practice computing the differential and apply them to obtaining the approximations for cube roots. The lesson includes examples for the...
Lesson Plan
Curated OER

E, Pi, and Exponential Functions

For Teachers 11th - 12th
Students discuss the difference between y=x^2 and y=2^x. They listen as the teacher defines "e." Students receive an information sheet on "e," as well as a history sheet on pi. They solve equations involving exponents and "e."
Lesson Plan
Curated OER

Newton's Method

For Teachers 10th - 12th
Students investigate the Newton Method of solving for zeroes of equations. They apply the method to a variety of different problems including the examples provided in the lesson plan. Students find approximations for the roots of an...
Worksheet
Curated OER

Math 155 Worksheet 6

For Students Higher Ed
In this college level calculus worksheet, students determine the derivatives of the indicated functions and solve application problems.  The two page worksheet contains seven problems.  Answers are not included.
Lesson Plan
Curated OER

How Does Your Population Grown?

For Teachers 8th - 11th
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
Lesson Plan
Curated OER

Worksheet Two

For Teachers Higher Ed
In this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Worksheet
Curated OER

Finding Derivatives of Twenty Trig Functions

For Students 12th - Higher Ed
In this derivatives worksheet, students take the derivative of fifty various trigonometric functions.  These fifty problems vary in difficulty.
Lesson Plan
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Higher Order Derivatives

For Teachers 9th - 12th Standards
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, students create a visual of what is happening with the equation.
Lesson Plan
Curated OER

Torricelli's Law

For Teachers 9th - 12th Standards
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
Worksheet
Curated OER

Why Are Hot Things Red?

For Students 11th - Higher Ed
In this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....
Worksheet
Curated OER

Linear Approximation

For Students 9th - 11th
In this algebra learning exercise, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.
Lesson Plan
Curated OER

A.P. Exam Review

For Teachers 9th - 12th
Learners engage in a lesson that is concerned with the cumulative concepts introduced in a Calculus course. They review exponential growth and how it is used to measure increase in values. Students also apply the use of the differential...
Lesson Plan
Texas Instruments

Quartic Regions

For Teachers 9th - 12th Standards
Young scholars explore quartic functions in this calculus instructional activity. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 9th - 12th Standards
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
Worksheet
Curated OER

Math 16C: Worksheet 11

For Students 12th - Higher Ed
In this calculus learning exercise, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
Worksheet
Curated OER

Sodoku

For Students 11th - 12th
In this calculus learning exercise, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
Worksheet
Curated OER

Precalculus Test

For Students 11th
In this learning exercise, 11th graders assess their knowledge of arcsin, tan, arccos and other trig functions identity. There are 17 questions on this test.
Lesson Plan
Curated OER

Climate and Periodic Functions: Science & Math Integration

For Teachers 9th - 12th
Students complete a lab that introduce the scientific concept of climate on Earth. Following the lab, they complete further research on climate. Using average monthly temperatures students construct a mathematical model and analyze the...
Worksheet
Curated OER

Multivariable Calculus

For Students Higher Ed
In this multiple integration worksheet, students set up and evaluate double and triple integrals. Students compute the volume of a tetrahedron bounded by defined planes.
Lesson Plan
Curated OER

Linear Approximation

For Teachers 9th - 12th Standards
Pupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...
Lesson Plan
Curated OER

Absolute Maximum and Minimum

For Teachers 9th - 11th
Students calculate the maximum and minimum of each function. In this algebra activity, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
Lesson Plan
Curated OER

Computer Graphing Calculator Explorations

For Teachers 9th - 12th
Students explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.

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