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Derivatives Teacher Resources
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Here's a real-world instructional activity using a business simulation. Two business accounts are used to find slope and intercept functions. The class graphs and interprets the information to find a break even point. There are plenty of worksheets and assessments included in this instructional activity.
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M & Ms on a checkerboard and mark the number on a graph. They double the number for each space on the board and create a graph of the data.
Play ball! High schoolers explore the concept of quadratic equations through modeling how shooting a basketball can be expressed as a quadratic function. They impose a coordinate grid on the path of a shooting basketball and determine points to model the data. Additionally, they enter data into lists and perform a quadratic regression on the data.
Twelfth graders investigate the derivative of a function. For this calculus lesson, 12th graders explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a function and uses numerical and graphical investigations to form conjectures about common derivative formulas.
This is comprehensive lesson that considers many aspects of quadratic functions. It includes using factoring, completing the square and the use of the quadratic formula for finding the zeros of the function (including imaginary roots). It also reverses the whole process by looking at either different graphs of quadratic functions or zeros that are given and challenges the learner to derive the function. This lesson provides an excellent review for the second year algebra student or a multi-lesson unit for the more novice student.