Rate of Change Teacher Resources
Find Rate of Change educational ideas and activities
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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 CCSS: Designed
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
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 CCSS: Designed
Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and analyze their data.
9th - 12th Math CCSS: Designed
Instantaneous Rate of Change of a Function
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average rates using time intervals.
10th - 12th Math CCSS: Adaptable
Derivatives: Instantaneous Rate of Change
Students explore the concept of derivatives. In this derivatives instructional activity, 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
Cardiac Output, Rates of Change, and Accumulation
High schoolers explore rates of change. In 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
The Fundamental Theorems of Calculus
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note: The calculus controversy paper is not included but one can find a number of good resources on the Internet regarding the development of calculus and the role of Newton and Leibnez.
11th - Higher Ed Math
Lesson #20 Rates of Change and Velocity
Learners investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the average rate of change with respect to given variables.
10th - 12th Math
Even More Calculus
In this calculus instructional activity, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page instructional activity contains explanation of the topic, numerous worked examples, and sixteen multi-part practice problems.