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Real-World Calculus Teacher Resources
Find Real World Calculus educational ideas and activities
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus 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.
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. High schoolers 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.
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 identify and define the logistic model for the world population data. In 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 electrical activity, students draw a schematic design circuit board to grasp the understanding amplification in linear circuitry before answering a series of 35 open-ended questions pertaining to a variety of linear circuitry. This activity is printable and there are on-line answers to the questions. An understanding of calculus is needed to complete these questions.
Learners define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or calculus. Learners also complete the inquiry-based worksheets included with the lesson.