Rate of Change Teacher Resources
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Rate of Change
Young scholars calculate the rate of change using the derivative. In this algebra lesson, students identify the function over closed interval and identify the rate of change. They use correct notation and classify a function as increasing or decreasing.
9th - 11th Math 3 Views 18 Downloads
Introduction to Rate-of-Change Problems
Sal solves an example for finding the rate of change of the height of water in a cone at a specific point when it is being filled at a given rate. In this video, Sal reviews the volume of a cone and the chain rule and then, uses these to find the change in height with respect to time.
10 mins 11th - Higher Ed Math 3 Views 0 Downloads
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing conclusions about the behavior of the function.
8th - 11th Math 21 Views 40 Downloads CCSS: Designed
Even More Calculus
In this calculus learning exercise, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page learning exercise contains explanation of the topic, numerous worked examples, and sixteen multi-part practice problems.
12th Math 5 Views 36 Downloads
Internet Phone Subscribers Soar
High schoolers investigate logistic models by making a scatter plot of internet phone users over 5 years. They find a logistic model that fits their data and then discuss what the instantaneous rate of change means in the context of the problem.
11th - 12th Math 3 Views 30 Downloads
The Babylonian Algorithm, Limits and Rates of Change
In this successive approximations activity, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page activity contains explanations, examples, and approximately ten problems.
Higher Ed Math 3 Views 8 Downloads
Derivatives: Instantaneous Rate of Change
Students explore the concept of derivatives. In this derivatives lesson, students find the derivatives of the cosine function on the Ti-Nspire. Students use the definition of derivative to find the derivative of the cosine function as h approaches zero.
11th - 12th Math 3 Views 12 Downloads
Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change
Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric difference quotients to approximate instantaneous rate of changes.
9th - 12th Math 3 Views 16 Downloads CCSS: Designed
Investigating Pick's Theorem
Students explore the concept of Pick's Theorem. In this Pick's Theorem lesson, students use a spreadsheet to observe patterns over a large range of cells. Students analyze perimeter pins and interior pins on a geoboard and a spreadsheet. Students discuss rate of change based on their analysis of the perimeter and interior pins.
6th - 8th Math 3 Views 2 Downloads
Cardiac Output, Rates of Change, and Accumulation
Students explore rates of change. For this cardiac output lesson, students measure the amount of blood being pumped by a heart. They explore the flow rate and complete an accumulation and concentration problem. They analyze data, flow rates, and concentration of a mexture.
9th - 12th Math 3 Views 5 Downloads
Functions and Rate of Change
For this functions worksheet, students use given functions to determine the volume of a container. They find the rate of change in the volume at a specified time. Students determine the constant of the proportionality. This one-page worksheet contains three multi-step problems.
11th - Higher Ed Math 3 Views 5 Downloads