Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Introduction to Slope Fields
Students plot slope fields. In this introduction to slope fields lesson plan, students plot 12 slope fields for given differential equations.
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Differential Equations and Population Growth Lesson
Students calculate the size of the population at a given time, for a population that grows at a rate that is directly proportional to the number of members present in the population. They also calculate the time at which the population...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
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Differentials
High schoolers engage in a lesson plan that is about finding the differentials of an equation. They practice computing the differential and apply them to obtaining the approximations for cube roots. The lesson plan includes examples for...
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Logarithmic Differentiation
Young scholars engage in a lesson that is about the concept of logarithmic differentiation. They practice solving problems to take derivatives of expressions by applying logarithms. The lesson includes examples the teacher could use for...
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Related Robots
Learners solve problems using implicit differentiation. In this calculus lesson, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
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The Calculus Whiz Who Owned a Box Company
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
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Slope Fields
Students sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...
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Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.Â
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Slope Fields
Students create and analyze slope fields. For this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
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Euler's Method Introduction
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
Texas Instruments
Cylindrical Soda Can
Young scholars explore an application of differentiation in this calculus lesson. They investigate the ideal dimensions for a soda can and, using the symbolic capacity of the Ti-89, investigate the dimensions of the can which has the...
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Infestation to Extermination
High schoolers solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.
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The Chain Rule
Twelfth graders investigate the chain rule and use it to solve functions. In this calculus instructional activity, 12th graders apply the chain rule to problems with powers, and product rule. They practice with lots of examples before...
Texas Instruments
A Tale of Two Lines
Students graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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Position, Distance, Velocity
Learners calculate the position, distance and velocity using functions in this calculus lesson. They investigate horizontal motion through the derivative of functions and use the TI to create a visual of their function.
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Integration By Substitution
Young scholars calculate the solution using integrals in this calculus instructional activity. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Texas Instruments
Integration By Parts
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
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A.P. Exam Review
Students engage in a instructional activity that is concerned with the cumulative concepts introduced in a Calculus course. They review exponential growth and how it is used to measure increase in values. Students also apply the use of...