Real-World Calculus Teacher Resources
Find Real World Calculus educational ideas and activities
Showing 1 - 20 of 191 resources
New! Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry students. 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.
Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson 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.
Working with Rates of Change
In this calculus 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.
World Population Milestones
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.
The World Population: Logistic Model
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.
Cutting Corners - Parts 1 and 2
High schoolers 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.
A Further Look at Inverse Functions
Students 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.
Quadratics: Polynomial Form
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.
Using Real-Data from North Dakota to Study Place Value, Rounding, Estimation, Fractions, and Percents
In this real-data activity, 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 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.
Learners 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.
Back and Forth Analysis of Spring Motion
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.
The Area Function
Students explore the concept of area under a curve. In 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.
Calculus at the Battle of Trafalgar
Students 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.
Mean Value Theorem
Sal spends most this video explaining what the Mean Value Theorem says in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of the function over that interval. Here, Sal also uses and informally defines the terms: continuous function, differential, and closed and open interval.
Calculus for electric circuits
In this circuits activity students complete a series of questions on equations, robotics and integration. There is an answer sheet.
World Population Milestones
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.
Bouncing Ball Experiment
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.