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The Energy of Empty Space
In this energy in empty space worksheet, students use an equation for Cosmic Inflation to solve eight problems. They find the domain and range of the function of the equation, they determinethe axis of symmetry, they find the critical...
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Graphs of Formulas
In this instructional activity students fill out a function table after reading a short word problem. This is a good way for students to practice the necessary skills for solving word problems or setting up algebra equations.
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Domain and Range
In this domain and range instructional activity, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is...
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Arithmetic and Geometric Sequences
In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 34 various types of problems. First, they find the described term in each sequence. Then, students complete the geometric sequences and find the value...
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Graphing Functions
In this graphing functions worksheet, students solve and complete 13 different problems that include identifying and graphing various functions. First, they graph each of the functions shown on the graphs provided. Then, students solve...
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Transformations with Functions
In this transformations worksheet, students solve and graph 8 different problems related to various forms of functions. First, they write the equation for the graph of a function given. Then, students describe the transformations that...
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Composition of Functions
In this composition of functions worksheet, 10th graders solve 10 different problems that include determining the composition of various given functions. First, they use the two given functions to determine the composition in each...
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Functions of Two Variables
In this functions worksheet, students solve one short answer (computation) problem. They answer one short essay question about the output variable (z). Students answer two short answer questions about surface graphs. Students find the...
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Applications of Derivatives: Finding Maxima and Minima
In this derivatives worksheet, students complete a function chart by telling the type of function, the derivative, and making an illustration of the concept. They find the intervals at which a given function is increasing or decreasing....
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Math 16C: Worksheet 10
In this calculus worksheet, students answer eleven short-answer problems regarding differentiation methods, common functions, the Maclaurin series, and the Taylor series.
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The Chain Rule
In this calculus worksheet, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
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Applications of Derivatives: Finding Maxima and Minima
In this calculus learning exercise, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
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Cartesian Graphing
In this graphing worksheet, students use the Cartesian plane (or coordinate grid) to complete graphs. This is a worksheet generator. The teacher may select the level of difficulty as well as the type of problems students are asked to...
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Euler Encore 1
In this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...
Math Mammoth
Functions in Coordinate Grid 1
In this math worksheet, students are given 4 tables of x-y coordinates and a grid. Students figure the relationship between the x and y coordinate and plot the points. Students then use a given rule to find the y coordinate.
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Dinosaurs Here Yesterday Gone Today
Students take a pre-test to show their prior knowledge of dinosaurs. Using the internet, they reasearch the time period in which they roamed the Earth. Focusing on the area of Connecticut, they compare and contrast the large and small...
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Quadratic Function Investigations
Learners perform investigation of quadratic functions while taking part in the solving of various types of problems. They explore the changes in the coefficients on the quadratic function to observe the patterns. The lesson includes...
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Patterns, Functions, and Algebra: Wired for Space
Students assess how patterns, functions and algebra can assist NASA engineers design new ways of propelling spacecrafts. They explore how electricity and magnetism are replacing the fuel-consuming rocket propulsion. Electromagnetism is...
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Functions and the Vertical Line Test
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
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Data, Data, Everywhere... and What Am I To Think?
Students demonstrate good random sampling techniques for data collection, select and develop graphic presentations of data and analyze the data to solve a problem presented.
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The Brain: What's Going on in There?
Students examine images of human brains that illustrate that specific regions of the brain regulate specific functions. They extend that knowledge to examine how drugs of abuse activate an area of the brain called the reward system.
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Lessen the Loan
Middle-schoolers explore the concept linear equations. They use the internet to navigate through videos and problems. Pupils problem solve to determine rates of change, slope, and x and y-intercepts.
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Functions and Graphing
Graphing functions in a real world application makes math come to life. Learners graph points on a coordinate plane and identify various points on a graph by working through a set of real world problems. This is a perfect review exercise.
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Piecewise Modeling with Multiple Functions: Federal Debt
Students analyze data on debt and write an equation. In this statistics instructional activity, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned...