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 23 Views 43 Downloads 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 3 Views 0 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 4 Views 31 Downloads
Exploration 1: Instantaneous Rate of Change Function
For this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
11th - 12th Math 6 Views 40 Downloads
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 3 Views 6 Downloads CCSS: Adaptable
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 17 Downloads 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, young scholars use specific functions on their calculators to create graphs and analyze their data.
9th - 12th Math 3 Views 9 Downloads CCSS: Designed
Average Roller Coaster
Young scholars explore the concept of average value of a function. In this average value of a function lesson plan, students use their Ti-Nspire to determine the average value of a quadratic function. Young scholars take the integrals of velocity functions using trapezoids.
11th - 12th Math 6 Views 21 Downloads
Derivatives: Instantaneous Rate of Change
Students explore the concept of derivatives. In this derivatives lesson plan, 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
Exponential Decay Formula (can skip, involves Calculus)
Sal continues his discussion of decay by showing students the math involved in determining how much a substance is left after one half-life, two half-lives, and even three half-lives have gone by. He sets up a general function of time that can be used to determine the remaining amount of a substance after 10 minutes, or three billion years have elapsed!
12 mins 7th - 10th Science 3 Views 3 Downloads
The Fundamental Theorems of Calculus
Are your calculus pupils aware that they are standing on the shoulders of giants? This instructional activity 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 21 Views 78 Downloads
Cardiac Output, Rates of Change, and Accumulation
Students 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 3 Views 5 Downloads
Rate of Change
Students calculate the rate of change using the derivative. In this algebra activity, 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
Lesson #20 Rates of Change and Velocity
Students investigate speed. For 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 3 Views 10 Downloads
Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the topic, numerous worked examples, and sixteen multi-part practice problems.
12th Math 5 Views 36 Downloads