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Chapter 10 - Objective 4.1 - Distance
In this distance worksheet, students solve equations involving square roots. They use the distance formula to solve four of the ten problems. This one-page worksheet contains ten problems.
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Chapter 4 - Objective 5.1 - Interest & Investments
In this interest and investment learning exercise, students are given investment information and total earnings for two accounts which pay different interest rates. From information given, students determine the amount invested at each...
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Chapter 4 - Objective 7.1 Time
For this time worksheet, learners read distance story problems, write equations, and determine the time or rate of travel. This one-page worksheet contains three problems.
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Chapter 6 - Objective 4.1 Rate
In this rate worksheet, learners read story problems, write equations, and determine the rate of given objects. They use proportions or equations to determine cost and value. This one-page worksheet contains ten multi-step problems.
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Chapter 9 - Objective 4.1 Distance
In this distance worksheet, students solve radicals. They read story problems, write equations, and compute the speed and or distance an object traveled. This one-page worksheet contains ten problems.
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Chapter 10 - Objective 5.1 Rate and Time
In this rate and time worksheet, students read story problems, write equations and solve time and rate problems. They find the find the difference between squares. This one-page worksheet contains ten problems.
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Worksheet 15: Velocity
In this velocity worksheet, learners read story problems, write equations and determine distance, velocity and time. They derive an equation for the function. This two-page worksheet contains seven multi-step problems.
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Worksheet 1: Polynomials and Integers
In this polynomial activity, students factor polynomials, determine rate, time and distance, and write the area of polygons as functions. This three-page activity contains approximately 20 problems.
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Worksheet 10 1/2: Distance and Rate
In this distance and rate worksheet, students read story problems, determine necessary information and write equations to solve problems. Most problems involve velocity. This one-page worksheet contains fourteen problems.
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Exploratory Problem: Cardiac Output Rates
In this rate problem, learners 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 worksheet...
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Worksheet 7
In this integral worksheet, students are given 42 short-answer problems regarding rates, proportions, integrals, graphing, differentiable functions, and average values.
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Mathematical Modeling and constant Rate Equations
In this rates instructional activity, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
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Proportional Dimensions
In this dimension worksheet, students determine the amount of material needed to construct three-dimensional figures. They find the dimensions of areas inscribed in given diagrams, determine the amount of profit, and the maximum flow of...
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Newton's Law of Cooling
In this Newton's Law of Cooling, students estimate rates of change and solve initial value problems. This six-page instructional activity contains approximately 15 multi-step problems.
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Challenge Sheet 8: Kinetic Energy
In this kinetic energy worksheet, student set up equations that represent the kinetic energy of a rod with given parameters. They compute the volume of ocean water in a 2-mile radius, and sketch a graph of the information. This...
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Discussion Sheet 7: Intermediate Value Theorem
In this intermediate value theorem learning exercise, students use the intermediate value theorem to verify that equations are solvable. They find the slope, and determine the height and radius of given figures. Students complete rate...
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Supplementary Related Rates Problems
In this rates worksheet, students read story problems, determine the necessary information, and set up equations to determine the velocity and rates. This two-page worksheet contains two multi-step story problems.
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Worksheet 1 - Polynomials, Functions, Rates
For this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials,...
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Euler's Method
In this Euler's method worksheet, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page worksheet contains...
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Epidemic or False Alert?
In this rate worksheet, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page worksheet contains...
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Average Velocity, Instantaneous Velocity, and Slope
In this velocity activity, students determine the average velocity for given situations. They graph the distance traveled, and compute velocity at time intervals. This two-page activity contains eleven problems.
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Worksheet 8: Rate, Differentials
In this rate worksheet, students read story problems, determine the necessary information, and solve the rate problem. They use differentials to estimate the value of a function at a given point and integrate functions. This three-page...
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Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule
In this related rates problem instructional activity, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page...
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Challenge Discussion Sheet 8
In this differential worksheet, students compute the rate a boat is approaching a dock when given the height and length of a rope. They find the rate the angle formed when a rocket is launched at given distances above the ground....