Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
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Are You Absolutely Sure of the Value?
Seventh graders develop an examineing of absolute value through real world situations. They develop an examineing of when absolute value can be used in a given situation.
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The Absolute Truth
Students solve problems of inequalities and equations. For this algebra lesson, students add, subtract, multiply and divide to solve inequalities. They graph their solutions on a number line.
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Worksheet 32
In this math worksheet, students give a physical interpretation for each of the boundary conditions for the functions. Then they apply the method of separation of variables to find the solutions to the wave equation
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Worksheet 11
In this math worksheet, students 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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Worksheet 21
For this math worksheet, students find the interval convergence of the series. They also practice writing a series and the functions. Students find the Taylor series about zero.
Del Mar College
Finding the Domain
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...
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Absolute Maximum and Minimum
Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
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Challenge Discussion Sheet 6
Learners are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...
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Maclaurin Series Quiz
For this Maclaurin series worksheet, students use the Maclaurin series to find the first nonzero terms in a function. They estimate the value of a function with a given absolute error. This two-page worksheet contains two multi-step...
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Lesson #73 Absolute Maximum and Minimum
Young scholars listen to a lecture about absolute maximum and absolute minimum. In this maximum and minimum lesson students use steps to find points and practice with an example.
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Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
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Practice Test: Derivatives
In this derivatives instructional activity, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page instructional activity contains 6...
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Analyzing Solutions Computed Using Euler's Method
In this analyzing solutions worksheet, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This two-page...
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Algebra Exam
In this algebra worksheet, 11th graders graph, parabolas, absolute value and cubic functions. They factor polynomials and simplify roots. There are 75 questions.
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Graphing Polynomials of Higher Degree
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
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MATH 155 - Worksheet 11. Limits
In this limits worksheet, students find the limits of given equations. They find the absolute maximum and absolute minimum values of a function. This two-page worksheet contains four problems.
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Taylor Polynomials and Taylor Series
For this Taylor polynomials and series worksheet, students identify a tangent line to a function and use the absolute value test to determine the values of x. This five-page worksheet contains four problems, plus explanations and examples.
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Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....
Concord Consortium
Calculator Numbers
Know thy calculator. Young mathematicians use their calculators to answer a set of questions. They consider how the number of digits the calculator displays affects the answers to calculations. They then find examples of computations...
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Lesson 1: Exploring Quadratic Graphs
Students, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the parabola...
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...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent...