Continuous Function Teacher Resources
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Students investigate limits and continuity of functions. In this limits and continuity of functions lesson, students find the limit as a function approaches a given value. Students find the domain of functions.
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra lesson, learners use the TI to examine and differentiate between exponential growth and decay. They relate math to the real world by creating models.
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret population growth.
Design an experiment to model a leaky faucet and determine the amount of water wasted due to the leak. Middle schoolers graph and write an equation for a line of best fit. They use their derived equation to make predictions about the amount of water that whould be wasted from one leak over a long period of time or the amount wasted by serveral leaks during a specific time period.
In this functions instructional activity, students identify the domain and range of a function. They find the slope of a line. Students determine the limits of an equation and note the discontinuous and continuous functions. This three-page instructional activity contains 14 multiple-choice problems.
This Mean Value Theorem and Rolle's Theorem worksheet is very thorough in explaining the two Theorums and showing the formulas. There are six prractice problems for classwork, and eight additional problems for homework.
Ninth graders examine the different systems of government politics and power. As they study they'll record their reflections in their journals and in return share their insights with their classmates. For mastery, 9th graders prepare and perform a skit for their classmates.
In this calculus learning exercise, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson plan provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note: The calculus controversy paper is not included but one can find a number of good resources on the Internet regarding the development of calculus and the role of Newton and Leibnez.
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
Students identify the different properties of a quadratic formula. In this algebra lesson, students take a quiz and discuss the problems form the quiz after it is submitted. They identify the important concepts dealing with quadratics and how it is related to the history of math.
In this graphs and derivatives learning exercise, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page learning exercise contains three multi-step problems.
students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.
For this limits worksheet, students solve thirteen challenging limit and limit application problems. Some of these problems are to worked without a calculator.
In this complex function activity students identify the derivative of given functions and explore the rules of differentiation. This two-page activity contains explanations and examples, followed by ten problems.
Twelfth graders investigate discontinuous functions. In this calculus lesson, 12th graders find points of discontinuity of a function and create a new function that corrects the discontinuity.
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including graphical, symbolic, words and tables.
In this function worksheet, pupils explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
Young scholars record and graph data. In this graphing lesson plan, students plant seeds and, once the seeds sprout, record the change in height of the plants for several days. They make graphs to display to data and then predict how the future growth may appear on the graph. They write stories about the life cycle of a planet that corresponds to a graph they are given.
In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.