Power Rule Teacher Resources
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Calculus: Derivatives 3
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, ï¿½Calculus Derivatives 2ï¿½ and ï¿½Calculus Derivatives 2.5 (HD).ï¿½ Note: Additional practice using the power rule for differentiating polynomials (including some with negative exponents) is available to the listener.
Students construct the graph of derivatives using a tangent line. For this construction of a graph of a derivative lesson, students use their Ti-Nspire to drag a tangent line along a graph. Students graph the slope of the tangent line. Students discuss the similarities and differences between the original graph and its derivative.
Taking in to the Limit
Twelfth graders explore the concept of limits. In this calculus lesson, 12th graders investigate the limit rules for both finite and infinite limits through the use of the TI-89 calculator. The worksheet includes examples for each rule and a section for students to try other examples.
Calculus for electric circuits
In this circuits activity students complete a series of questions on equations, robotics and integration. There is an answer sheet.
In this capacitance worksheet, students solve 19 problems about capacitance, voltage, electric charge and Ohm's Law. They use calculus to solve some of the problems and they are given equations used to solve different capacitance problems.
Calculus: Derivative of x^(x^x)
Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .
Calculus: Derivatives 3
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and "Calculus Derivatives 2.5 (HD).Ó Note: Additional practice using the power rule for differentiating polynomials (including some with negative exponents) is available to the listener.
Beginning the Year with Local Linearity
Students investigate an article on local linearity. In this calculus lesson, students read about the application of math in the real world. They gain insight from the teachers view of how to teach and relate the topic to the real world.
Twelfth graders investigate derivatives. In this calculus lesson, 12th graders use technology to explore the basic derivatives and how to choose the proper formula to use them. The lesson requires the use of the TI-89 or Voyage and the appropriate application.
In this calculus instructional activity, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and trigonometry.
In this inductance worksheet, students answer 20 questions about magnetic fields as they relate to inductors, inertia, transistors, and the flow of current through circuits.
Surfing the Waves
High schoolers 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 curve.
Review for Test on Derivatives.
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They show proficiency on rig derivatives and differential equations.
Review for Test on 3.1-3.5
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of derivatives, rate of change, and lines tangent to a curve. This assignment contains two version of the same test concept.
Test on 3.1-3.5
Twelfth graders assess their knowledge of trig functions and their properties. In this calculus lesson, 12th graders take a test on derivatives, trig functions, and the quotient rule. There are 2 different versions of the same test available.
In this calculus learning exercise, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
Graph And Their Derived Function
Students analyze graphs and determine their general shape. In this calculus instructional activity, students solve functions by taking the derivative, sketch tangent lines and estimate the slope of the line using the derivative. They graph and analyze their answers.
Solving Initial Value Problems
Pupils explore derivatives and antiderivatives using the TI. In this calculus lesson, students relate integrals to real life scenarios. They identify the antiderivative through graphing.
NUMB3RS Activity: Exponential Modeling
Students investigate exponential functions. In this Algebra II/Pre-calculus instructional activity students find an exponential model from a set of data. Students investigate the affects of changing parameters have on the graph of an exponential function.