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Balanced Assessment
Stock Market
Analyze trends in the stock market using histograms. Future economists use data presented in a histogram to find periods of greatest increase and decrease. They also draw conclusions about days that would be best to invest.
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MT-A141 PreCalculus: Worksheet 5.1
For this precalculus worksheet, students evaluate and graph given functions. They identify the domain and asymptote of each equation. There are two multi-step problems to this worksheet.
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Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Galileo's Battle for the Heavens
Learners view a video about Galileo's discoveries. They work together to create graphs showing the current sunspot cycle. They discuss how sunspots can cause communication devices problems.
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Critical Points
High schoolers identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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Derivatives
In this calculus worksheet, students solve functions by using the derivatives. The calculate the maximum and minimum of each function presented. There are 28 questions.
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The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
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Applied Maxim Mininmum Problems
Learners define the maximum and minimum of an equation. In this calculus lesson, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review problems.
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Quadratic Functions
In this algebra worksheet, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
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Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
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Applications of First and Second Derivatives.
In this calculus worksheet, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
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Transformations and Exponential Functions
Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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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.
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Calculator-Based Lessons Help Examine Real-World Data
Students may determine equations based on graphs and regression models.
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Trigonometry Practice
In this trig worksheet, learners draw graphs of trig functions and identify the cycle of the function. They discuss period and phase shift. There are 9 questions with an answer key.
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Analyze This Function
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
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Carrying Capacity of Ecosystems
Students define population and carrying. In this algebra lesson, students explore exponential growth and decay based on animals and things that grow or decrease exponentially. They graph their findings and discuss their results as they...
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Carbon Dioxide Increases
In this atmospheric carbon dioxide worksheet, students use a graph of the Keeling Curve showing the increase in atmospheric carbon dioxide since 1958 to solve 6 problems. They determine the rate of increase, the find the percentage of...
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Functions and Differentiation
In this calculus instructional activity, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
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What Killed the Seeds?
Can a coral cure cancer? Take seventh and eighth grade science sleuths to the underwater drugstore for an investigation into emerging pharmaceutical research. The fifth installment in a series of six has classmates research the wealth of...
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Finding the Vertex of a Quadratic Function
Young scholars solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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The Sunspot Cycle-Endings and Beginnings
In this sunspot cycle instructional activity, students use a graph of the sunspot numbers from January of 1994 to January of 2008. Students solve 8 problems using the data in the graph to determine the maximum occurrence of sunspots, the...
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Quadratic Functions - Max and Min
Students identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...