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Composition of Functions
High schoolers solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
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Reviewing Functions
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
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Math 312 Spring 98 - Complex Exponential Functions
In this function instructional activity, students solve complex exponential and logarithm functions. This two-page instructional activity contains approximately six problems.
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Approximating a Multivariable Function
In this math worksheet, students practice approximating the multivariable functions. They also complete the two problems in the form of a quiz.
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Quiz 2: Euler's Method and Piecewise Linear Functions
In this linear function worksheet, students use Euler's method to approximate a solution to an initial value problem. This two-page worksheet contains three multi-step problems.
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Integrating Special Functions
In this math activity, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Complex Analysis: Functions of Complex Variables
In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.
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Complex Analysis: Functions of Complex Variables
In this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
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Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
Illustrative Mathematics
Foxes and Rabbits 1
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
Flipped Math
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
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L'Hopital's Rule
Students solve limit problems. In this solving limit problems lesson, students use L'Hopital's Rule. Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is...
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Math 312. Harmonic Functions
In this harmonic function worksheet, students use the Cauchy-Riemann equations to find the imaginary part of the function. They explore the harmonic conjugate and solve a 2-dimensional Laplace equation. This two-page worksheet contains...
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Math 212: Limits of Multivariable Function
In this multivariable function activity, students compute the limits of given functions and determine if a limit exists. This two page activity contains three problems.
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Numerical Analysis: Nonlinear Equations
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
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Using Innovative Approaches To Explore Functions
Use student-directed resource sheets, multiple approaches, and group work instead of drill and kill.
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
PBL Pathways
Medical Insurance
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
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Indeterminate Forms and L'Hopital's Rule
For this limits worksheet, students use Taylor's Theorem to solve two short answer problems. They use L'Hopital's Rule to solve two short answer problems. Students read a two page lesson on limits.
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Patterns, Relations And Functions
Fourth graders observe patterns and determine a mathematical function that creates the pattern. Through a demonstration by the teacher, they observe strategies such as multiplication, division, addition, and subtraction to use when...
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Patterns, Relations, and Functions: Lesson 7: Input/ Output Tables
Fourth graders determine how to complete input/output tables. They express rules for input/output or function tables. They complete a worksheet that it is associated with the instructional activity.
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Worksheet 11
In this math learning exercise, middle schoolers define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
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Taylor's Theorem
In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...
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Apostrophe Function and Punctuation
In this apostrophe use activity, students read the two primary functions of apostrophes: to show possession and to show the omission of letters. They complete 24 examples in which they apply the rules for both uses.