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Worksheet 23
In this math activity, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Coffee: Differential Equation
In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
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Worksheet 19
In this math worksheet, learners try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.
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Worksheet 15 Computer Lab
In this math worksheet, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.
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Worksheet 19
In this math activity, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).
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Worksheet #5, Concavity,
In this calculus learning exercise, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative...
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Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule
In this calculus worksheet, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a graph...
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Max/Min Problems for Review
In this Algebra II/Pre-Calculus instructional activity, students determine the points of inflections for various functions and use the answers to complete a riddle. The one page instructional activity contains seven problems. Answers...
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Exploring the Landscape
Young scholars determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.
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MT-A141Precalculus
In this precalculus worksheet, students examine the three problems critically and they find the solutions for the word problems.
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Water Quality Data Analysis
Pupils develop a process for analyzing collected bayou data.
They find the mathematical relationships among various biological factors.
Students, work collaboratively using technology in their data analysis.
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Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral activity, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page activity contains...
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Why Does the Rule of 72 Work
In this algebra worksheet, learners solve a word problem by rewriting it using algebraic symbols. They calculate the interest compounded over a period of time using the Interest Formula. This worksheet includes 1 problem and an answer key.
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Little Red Corvette
Students investigate the acceleration of a car. In this acceleration of a car activity, students make a scatter plot of corvette acceleration data. Students find a model to fit the data by taking the integral of the curve created by...
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Promote Precalculus
Use projects, real-world activities, and games to bring precalculus to life for students.
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"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
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Orbital Bliss
Most young mathematicians are aware that the planets don’t orbit the sun in a circle but rather as an ellipse, but have never studied this interesting feature. This resource looks at the planetary orbits in more detail and helps learners...
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Introduction to Mathematical Modeling
In this mathematical modeling activity, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
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Estimating Pi as a Length
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
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Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change
Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...
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Limits
Students practice the concept of limits graphically, numerically and algebraically. They participate in an exploration lab, BINGO game and complete a puzzle.
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Creating a Mathematical Model Using Weather Data
Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...