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Quartic Regions
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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Quartic Inflection
Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson includes detailed instructions along with screen shots of the graphing calculator display.
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Etymology
Learners dissect and build words from parts like prefixes, base words, suffixes, and inflectional endings. Etymology skills help us find the meanings of words by identifying the different parts that constitute them. Class members use...
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Exploring the Witch of Agnesi
students construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Lesson #67 Relative Extrema
Students test for relative extrema. For this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
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Two Investigations of Cubic Functions
Through learning about cubic functions, students graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
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Exploring the Landscape
Students determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.
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The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus instructional activity, students solve optimization problems and find rates of change.
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Math Today - World Population Milestones
Students use the data from USA TODAY Snapshot "World population milestones" to explore and explain the trends in the world population.
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Introduction to Tangent Lines using the TI-Nspire
Students make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.