Intermediate Value Theorem Teacher Resources

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In this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students show that there are always two points on exact opposite sides of earth that have the same temperature. Students use the mean-value theorem to find the derivative of a function.
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve one equation for x. They use the intermediate Value Theorem to show that a given value is a zero of the function. Students find the domain of four relations.
In this continuity worksheet, students examine six functions for continuity.  Students find values to make a peice-wise function continuous, state domains, use limits, and the Intermediate Value Theorem.
In this intermediate value theorem worksheet, learners apply the intermediate value theorem in three problems and state the intermediate value theorem in another problem.
In this intermediate value theorem worksheet, 11th graders solve and complete 7 different types of problems. First, they sketch the graph of each function for the indicated values. Then, students use the intermediate value theorem to show that the function has a zero between each given variable.
In this intermediate value theorem worksheet, students use the intermediate value theorem to verify that equations are solvable. They find the slope, and determine the height and radius of given figures. Students complete rate and distance problems. This two-page worksheet contains eleven problems.
In this Intermediate Value Theorem worksheet, students identify and explain a continuous function. They use the Intermediate Value Theorem to prove solutions of equations. This two-page worksheet contains three problems.
Students factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
In this limits worksheet, students use the intermediate value theorem to explore intervals. They sketch a graph of the function and determine the correct property of limits to evaluate the limit. This two-page worksheet contains five problems.
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations about function values in the context of the problem. The exercise is easily adaptable for either instruction or assessment.  
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the solutions. In other problems, one starts with the solutions or the graph and builds the original equation. There is also a projectile motion problem included with a number of interesting questions to be explored. 
Students read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they do in AP Calculus.
Young scholars explore an algorithm that evenly divides resources amongst others. They use the "I cut, you choose" method to divide a cake between two people. One person makes a cut to divide the cake into what he or she considers to be two equal parts; the other person chooses the first piece. Finally, students identify how they think two people could agree to fairly divide a cake.
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page worksheet contains five multi-step problems.
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains seven multi-step problems.
In this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.
Pupils use the bisection method to approximate the roots of a polynomial. They evaluate functions for a given point, graph linear and quadratic functions, and recognize the elements of polynomial expressions.

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Intermediate Value Theorem