EngageNY
End-of-Module 3 Assessment Task
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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Composition of Functions and the Chain Rule
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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Integrating Functions
In this math worksheet, middle schoolers 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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Complex Analysis: Function
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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Study Guide for the Advanced Placement Calculus AB Examination
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,...
Illustrative Mathematics
Temperature Conversions
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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Introduction to Substitution
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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Pedal Power
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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Algebra II - Lesson 9.4: Operations with Functions
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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Functional Analysis
Learners perform functional analysis. In 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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Mind Mapping
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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Properties of Trigonometric Functions
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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Flowers: Form and Function
Young scholars 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...
101 Questions
Coffee Traveler
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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The Chain Rule and Applications
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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Perfect Shuffles
Learners investigate piecewise functions. In this algebra instructional activity, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.
Illustrative Mathematics
Flu on Campus
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...
Alabama Learning Exchange
I'm Lovin' It: Finding Area Between Curves
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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Flowers and Their Life Cycles
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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#3 Differential Calculus
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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Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson plan. Young scholars 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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Solving Logarithmic Equations
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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Computer Graphing Calculator Explorations
Students explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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Minimize Perimeter
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....