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Intermediate Value Theorem Teacher Resources
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In this math worksheet pupils 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. Pupils 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 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.
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.
Learners 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 instructional activity, 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 instructional activity contains seven multi-step problems.