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Worksheet
Curated OER

Function Tables

For Students 6th - 8th
For this function tables worksheet, students analyze 6 different function tables to determine the rule that applies to each table. The data in the table involves 2 variables and the rule is either addition, subtraction, multiplication...
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Worksheet
Curated OER

Function Tables

For Students 4th - 6th
For this function tables practice worksheet, students use their problem solving skills to solve 12 problems that require them to determine the rule followed in each of the function tables.
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Worksheet
Curated OER

Composition of Functions and the Chain Rule

For Students Higher Ed
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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Interactive
Curated OER

Inverse Trig Functions: Chain Rule

For Students 9th - Higher Ed
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Worksheet
Curated OER

The Chain Rule and Applications

For Students Higher Ed
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Worksheet
Curated OER

Reviewing Functions

For Students Higher Ed
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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Lesson Plan
Curated OER

Basic Ideas of Functions

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students determine whether or not a relation is a function.  Students determine the domain of a function and express the answer in interval notation.  The three page worksheet contains fifty-eight...
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Worksheet
Curated OER

Math 312 Spring 98 - Complex Exponential Functions

For Students Higher Ed
In this function worksheet, students solve complex exponential and logarithm functions. This two-page worksheet contains approximately six problems.
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Worksheet
Curated OER

Quiz 2: Euler's Method and Piecewise Linear Functions

For Students Higher Ed
In this linear function learning exercise, students use Euler's method to approximate a solution to an initial value problem. This two-page learning exercise contains three multi-step problems.
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Worksheet
Curated OER

Approximating a Multivariable Function

For Students 11th - Higher Ed
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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Worksheet
Curated OER

Applications of Derivatives: General Rules for Optimization

For Students Higher Ed
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Worksheet
Curated OER

Limits and Continuity

For Students Higher Ed
In this limit worksheet, student evaluate functions and determine the continuous limits. This one-page worksheet contains three multi-step problems.
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Lesson Plan
Curated OER

Long Distance Phone Plans

For Teachers 7th - 9th
In this long distance phone plane worksheet, young scholars compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They...
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Lesson Plan
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Illustrative Mathematics

Oakland Coliseum

For Teachers 9th - 12th Standards
Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...
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Worksheet
Curated OER

Simpson's Rule

For Students Higher Ed
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Worksheet
Curated OER

Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
In this calculus activity, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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Lesson Plan
Curated OER

Making Connections

For Teachers 8th
Eighth graders investigate the input/output model for building function tables. From the data, 8th graders connect tables, graphs, function rules, and equations in one variable. They work backwards to determine function rules for given...
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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Worksheet
Curated OER

Final Exam Review: College Algebra

For Students 11th - Higher Ed
For this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations.  They identify the slope of a line and write linear equations.  Students use Cramer's rule, graphing, substitution,...
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AP Test Prep
College Board

2017 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
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Lesson Plan
Curated OER

What Does It Mean To Be a Good Citizen?

For Teachers K - 8th
Students study citizenship and what it means to be a good sitizen. They create their own country and determine its citizenship rules. They work together to create a visual representation of what makes a good citizen.
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Worksheet
Curated OER

Limits of Functions as Undefined X-Values and L'Hopital's Rule

For Students Higher Ed
In this limits learning exercise, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Worksheet
Curated OER

Math 212: Limits of Multivariable Function

For Students Higher Ed
In this multivariable function worksheet, students compute the limits of given functions and determine if a limit exists. This two page worksheet contains three problems.