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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
Students 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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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..
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
Students investigate piecewise functions. In this algebra lesson, 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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#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. 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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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
Students 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. They use...
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Minimize Perimeter -- Lecture
Pupils are introduced to the concept of perimeter. As a class, they listen to a lecture describing the derivations of a function that describes perimeter. They calculate the minimum perimeter of a rectangle and determine the numbers...
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Integration By Substitution
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
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Karen's Tiles
Students investigate how perimeter changes as area changes to see the relation between area and perimeter for similar shapes. They then students answer the question if the area of the rectangle increase, does its perimeter have to increase?