Curated OER
Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
Curated OER
Multivariable calculus: Partial Derivatives
In this partial derivative learning exercise, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page learning exercise contains five problems.
Curated OER
Complex Analysis: The Complex Derivative
In this complex derivative worksheet, students determine the circle of a radius under the mapping principle. They identify analytic functions, and explore the relationship between real and imaginary parts of complex functions. This...
Curated OER
Complex Analysis: Analyticity and Harmonic Functions
In this harmonic function worksheet, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page worksheet contains...
Curated OER
Rate Equations, Slope Functions and Concavity
In this rate equation instructional activity, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page instructional activity contains definitions,...
Curated OER
An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson plan, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson plan, students investigate Pascal’s Triangle,...
Curated OER
Worksheet 22-Fall 1995
In this math activity, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
Curated OER
Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
Curated OER
Twenty Multiple Choice and Free Response Derivative Problems
For this derivative worksheet, students solve ten multiple choice and ten free response problems. These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of change.
Curated OER
Average Value of a Function
For this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.
Curated OER
Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
Curated OER
Surfing the Waves
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
Curated OER
Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Young scholars compare the slope of the secant line through two points with the...
Curated OER
AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
Curated OER
AP Calculus Practice Exam 2008
In this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
Curated OER
Calculus Test
In this calculus activity, students take the derivative of functions, solve logarithmic equations and derive log formulas. There are 25 questions on this test.
Curated OER
Implicit Differentiation
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
Curated OER
Logistic Growth
Through the exploration of population growth of a bacteria population, young scholars learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
Texas Instruments
Quartic Regions
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.
Curated OER
From F to F
In this derivatives instructional activity, students solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
Curated OER
AP Calculus Practice Exam
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Curated OER
Properties of Logarithms
Learners explore the concept of logarithms. In this logarithms activity, students discuss the logarithm properties. Learners use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
Curated OER
Difference of Equations
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
Pennsylvania Department of Education
Cycles, Systems, and Webs
Fourth graders review the parts of the plant and their functions. In this plant instructional activity, 4th graders recognize that plants must transfer energy to make food. Students understand the interdependence of organisms in an...