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Exploratory Problem: Cardiac Output Rates
In this rate problem, students explore the cardiac output of a patients heart by using the dye dilution method. They determine an interval of time and set up an integral to express the exact amount flow. This two-page instructional...
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Worksheet 6
In this integral instructional activity, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
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Worksheet 7
In this integral worksheet, learners are given 42 short-answer problems regarding rates, proportions, integrals, graphing, differentiable functions, and average values.
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Challenge Sheet 3: Average Value of a Function
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Discussion Sheet 8: Area
In this area worksheet, students use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page worksheet...
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ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
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Three Multiple Choice Distribute and Factor Problems
In this product and factoring worksheet, learners find a product in one problem and factor in two problems. The solutions are provided.
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7-5 Practice Integration: Probability Compound Events
In this probability worksheet, students read story problems and draw tree diagrams to model the probability of compound events. After creating two tree diagrams, students compare them. They compute the probability of dependent events.
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Calculus Practice Test: Velocity, Functions
In this calculus instructional activity, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance....
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Complex Analysis: Applications of Cauchy-Goursat Theorem
In this Cauchy-Goursat Theorem, students sketch and classify domains. They evaluate integrals and explore the analytic function. This two-page worksheet contains approximately ten problems.
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Discussion Sheet 5: Limits and Sequences
In this limits and sequences worksheet, students determine the limits of given sequences and convert triple integrals into rectangular and cylindrical coordinates. They sketch graphs in a three dimensional space. This one-page...
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Simpson's Rule
For this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Divergence and Convergence
In this divergence and convergence learning exercise, students complete a comparison test for improper integrals. This four-page learning exercise contains approximately ten problems.
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Worksheet 3: Functions & Limits
In this function worksheet, students determine the limits and compute integrals. This two-page worksheet contains approximately ten problems.
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Discussion Sheet 10: Convergence
In this convergence worksheet, students compute improper integrals. They use the comparison test or the absolute convergence test to prove convergence. Students find the area of a region bounded by graphs. This one-page worksheet...
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Integrated Algebra Practice: Probability of Independent Events #1
In this statistics and probability worksheet, students identify 10 events as independent or dependent. Eight of these are short answer problems. Two problems are multiple choice, presenting the students with four events. Students...
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Integrated Algebra Practice: Exponential Growth
In this exponential growth worksheet, high schoolers solve 4 short answer and multiple choice problems. Students determine the population of a city after a given amount of time.
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Integrated Algebra/Math A Regents Questions by Performance Indicator
In this dividing polynomials worksheet, students complete 7 division of polynomial problems. Each problem features 4 possible answers.
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Eight multiple Choice product of Powers with the Same Base Problems
In this exponents worksheet, students find the product of powers with the same base in eight multiple choice problems. The solutions are provided.
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Twenty-Five Measures of the Angles of a Triangle Problems
In this triangle worksheet, students calculate the measures of the angles or the sums of the measures of the angles in twenty-five triangle problems and hands-on activities. The solutions are provided.
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Twenty Volume Of Solids Problems
In this volume worksheet, students solve twenty volume of various solids problems. The solids examined include: cylinders, cubes, rectangular prism, including how the volumes of these figures change with increased in length. ...
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Five Multiple Choice Graphing Inequalities Problems
In this graphing inequalities activity, students solve six multiple choice problems regarding inequalities and their graphs. The solutions are provided.
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Dilemmas and Dealing with Them - Secrets
Students read an article about the secrets young people keep from adults with regards to the internet. Small groups analyze a worksheet of common dilemmas and agree on solutions for each problem. The whole class shares solutions for...
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Discussion Sheet 6: Convergence or Divergence
In this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.