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Assessment
EngageNY

End-of-Module 3 Assessment Task

For Teachers 11th - 12th Standards
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
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Worksheet
Curated OER

Composition of Functions and the Chain Rule

For Students Higher Ed
For 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...
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Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Worksheet
Curated OER

Complex Analysis: Function

For Students Higher Ed
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
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Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Assessment
Illustrative Mathematics

Temperature Conversions

For Students 9th - 12th Standards
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition notation...
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Worksheet
Curated OER

Introduction to Substitution

For Students 11th - Higher Ed
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Lesson Plan
Curated OER

Pedal Power

For Teachers 8th - 10th
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
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Worksheet
Curated OER

Algebra II - Lesson 9.4: Operations with Functions

For Students 9th - 12th
In this composition functions worksheet, students solve 1 short answer problem. Students find f(g(-3)) given the f(x) and g(x) functions.
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Lesson Plan
Curated OER

Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Lesson Plan
Curated OER

Mind Mapping

For Teachers 5th - 8th
Students explore the functions of the brain. They create their own "live" model comparing a phrenology chart to our modern understanding of brain function and anatomy. Students compare and contrast brain models.
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Lesson Plan
Curated OER

Properties of Trigonometric Functions

For Teachers Higher Ed
In this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..
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Lesson Plan
Curated OER

Flowers: Form and Function

For Teachers 9th - 12th
Students recognize and name the parts of a flower. They explain the function of each part of a flower. Students list the steps that occur for sexual reproduction of a plant to take place. They recognize and name the male reproductive...
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Activity
101 Questions

Coffee Traveler

For Teachers 9th - 12th Standards
Investigate the volume of irregular figures in an inquiry-based exercise. Presented with an irregularly shaped box filled with water, learners must predict the level of water when it is tipped on its side. The class can divide the figure...
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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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Lesson Plan
Curated OER

Perfect Shuffles

For Teachers 9th - 10th
Students investigate piecewise functions. For this algebra lesson, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.
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Activity
Illustrative Mathematics

Flu on Campus

For Teachers 9th - 12th Standards
An outbreak of the swine flu on a school campus has caused an increase in the number of boxes of tissues sold by the school store. In a real-world-modeling activity, pupils use composition of functions to determine how the number of...
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Lesson Plan
Alabama Learning Exchange

I'm Lovin' It: Finding Area Between Curves

For Teachers 11th - Higher Ed Standards
Students explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to...
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Worksheet
Curated OER

Flowers and Their Life Cycles

For Students 7th - 10th
First-time florists will be able to label the structures of simple and composite flowers after reading this handout and answering the comprehension questions. There are a couple of grammatical errors in the text, but the content is...
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Lesson Plan
Curated OER

Solving Logarithmic Equations

For Teachers 9th - 12th Standards
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
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Lesson Plan
Curated OER

#3 Differential Calculus

For Teachers 12th - Higher Ed
Students create models of the Mean Value Theorem.  In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the throrem, create...
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Lesson Plan
Curated OER

Solving Exponential Equations

For Teachers 9th - 12th Standards
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.
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Lesson Plan
Curated OER

Computer Graphing Calculator Explorations

For Teachers 9th - 12th
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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Lesson Plan
Curated OER

Minimize Perimeter

For Teachers 6th - 8th
Middle schoolers practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area....

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