Real-World Calculus Teacher Resources

Find Real World Calculus educational ideas and activities

Showing 1 - 20 of 192 resources
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry learners. This comprehensive lesson starts with writing and graphing linear equations to define a bounded region and calculating the areas and perimeters of the space. Using this as a base, the lesson then has learners revolve these regions to create solid figures and calculate the resulting volume. A real-world example using a bowling ball and visualization software caps off this in-depth instruction.
Use projects, real-world activities, and games to bring precalculus to life for students.
Students explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus instructional activity students investigate the graph a line, a parabola, and a log function.  Students examine the three graphs as they compare and contrast the three in a problem solving context. 
Investigate logistic functions in a world population setting.  High schoolers will create a scatter plot of the world population from 1950 to 2050 to find a logistic function to model the data. They then discuss the end behavior of their logistic model. Graphing calculators are needed.
Students explore the various uses of the logistic function. Students use the internet to collect world population data and find a logistic model for their data and use their chosen model to predict future populations.
In this calculus instructional activity, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Young scholars investigate inverse functions. In this calculus instructional activity, students use the horizontal line test to determine if a functions inverse is a function. They define functions given a graph or an equation.
Throught this subscription-based sight, learners explore different aspects of the parabola by changing equations from standard to vertex form. Next, find the general form of the vextex based on the values of a, b, and c, and investigate the minimum and maximum points of a real-world example. Students can gain further insight by looking closer at the process of completing the square. 
Students investigate Newton’s Law of Cooling.  In this Algebra II/ Pre-Calculus lesson, students explore exponential regression as they conduct an experiment to simulate the temperature variations that occur as a liquid cools.  The lesson provides an extension for Calculus.
Identify the limits. Using geometry, learners will define the limit and fundamental theorem of calculus. They will also relate limit and derivatives to the real world.
Students define function notations and composition of functions. In this calculus lesson, students sketch different polynomial functions. They relate parametric equations to linear and exponential functions.
In this real-data worksheet, students use data from the 2008 Census Bureau to answer eight questions divided into four activities.  The topics covered include: place value, rounding, estimation, fractions, and percents.
Young scholars read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in the real world.
Students graph the motion of a mass moving back and forth on a spring, in parametric mode. They graph the position, velocity, and acceleration of the object in contrast to time graphs. Students compare speed and analyze it in terms of the magnitude of velocity on various time intervals.
Students explore the concept of area under a curve.  For this area under a curve lesson, students find integrals of various functions.  Students use their Ti-Nspire to graph functions and find the area under the curve using the fundamental theorem of calculus.
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.
In this circuits worksheet learners complete a series of questions on equations, robotics and integration.  There is an answer sheet. 
Students identify and define the logistic model for the world population data. For this data analysis lesson, students use the model illustrated to determine the population in a given year and compare it to the population shown in the table. Students also find the limiting behavior and explain what that means.
In this calculus 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. This five-page activity contains 14 problems.

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