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...

In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...

Twelfth graders explore Derive.  In this Calculus instructional activity, 12th graders investigate the menus and tools available in Derive.  In addition to the familiarization part of the instructional activity, students...

In this math learning exercise, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.

In this harmonic function learning exercise, students explore harmonic functions and construct a harmonic conjugate. This three-page learning exercise contains three problems, with explanations and examples.

In this derivative learning exercise, learners 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.

In this calculus worksheet, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.

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...

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...

Learn how to evaluate the derivatives of polynomials.  Mathematicians find the derivative of a quadratic function and determine the value at a given value.  Students compare the slope of the secant line through two points with...

In this practice exam learning exercise, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.

In this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.

In this calculus worksheet, learners take the derivative of functions, solve logarithmic equations and derive log formulas. There are 25 questions on this test.

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...

Young scholars explore quartic functions in this calculus lesson plan. 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.

In this derivatives worksheet, learners solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.

In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.

Students explore the concept of logarithms.  In this logarithms activity, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a...

In this difference of equations learning exercise, 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...

Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...

Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...

Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...

In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...

Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...