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Lesson Plan
Curated OER

Worksheet 2: Graphs, Functions and Derivatives

For Teachers 12th - Higher Ed
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
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Worksheet
Curated OER

AP Calculus

For Students 11th - 12th
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
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Lesson Plan
Curated OER

Tracking Speed

For Teachers 9th - 12th
Students calculate the speed of an object, by measuring the amount of time it takes to cover a given distance, and then divide: speed=distance/time. However, the object may not have been moving at a constant rate over the given distance....
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Lesson Plan
Curated OER

Secant Line Approximation of the Tangent Line

For Teachers 9th - 11th
Young scholars perform operation with secant and tangent lines. For this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using...
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Worksheet
Curated OER

AP Calculus Test

For Students 12th
In this calculus worksheet, 12th graders answer questions about functions and trigonometric functions. There are 21 questions on this worksheet.
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Lesson Plan
Curated OER

Going My Way (High School Math)

For Teachers 9th - 12th
High schoolers solve uniform motion problems using formula d = rt.
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Worksheet
Curated OER

The Babylonian Algorithm, Limits and Rates of Change

For Students Higher Ed
In this successive approximations worksheet, 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...
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Lesson Plan
Curated OER

Sciences Working Together

For Teachers 9th - 12th
Students research articles about science technology and society. In this science and technology lesson, students answer questions about an article they chose. They share what they learned with their peers.
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Lesson Plan
Curated OER

Rates Of Change

For Teachers 9th - 12th
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
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Lesson Plan
Curated OER

The Bee Problem

For Teachers 11th
In this algebra worksheet, 11th graders rewrite a word problem using algebraic symbols. They calculate the distance flown before the impact of the two objects occurs. An answer key is provided.
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Lesson Plan
Curated OER

Tracking Speed

For Teachers 7th - 9th
Students collect data for a runner by measuring the time it takes for the runner to run equal distances. After collecting data, students average speeds and accelerations for the runner. Assignment is completed by graphing the data.
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Unit Plan
CK-12 Foundation

Ck 12: Episd: Average Speed, Velocity, and Instantaneous Velocity

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Understand how to apply proper calculations to determine speed and velocity and clarify the meaning of instantaneous velocity.
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Handout
Science Struck

Science Struck: Instantaneous Velocity: Meaning, Formulas, Examples

For Students 9th - 10th
Explains what is meant by instantaneous velocity and the formula used to calculate it. Provides sample problems with solutions.
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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Instantaneous Velocity and Related Rates

For Students 9th - 10th
Here is a site that clearly and thoroughly explains instantaneous velocity and how to solve related rates problems by using implicit differentiation. There are example problems solved, problems for the student to attempt, and answers to...
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Unit Plan
CK-12 Foundation

Ck 12: Instantaneous Velocity

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Students explore instantaneous velocity and how to calculate it. They also learn how interpret and create position vs time graphs.
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Unit Plan
OpenStax

Open Stax: Time, Velocity and Speed

For Students 9th - 10th
In the following interactive module, students will begin to explain the relationships between instantaneous velocity, average velocity, instantaneous speed, average speed, displacement, and time. They will calculate velocity and speed...
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Unit Plan
Texas Education Agency

Texas Gateway: Ap Physics: 2.3 Time, Velocity, and Speed

For Students 9th - 10th
By the end of this section, you will be able to do the following: Explain the relationships between instantaneous velocity, average velocity, instantaneous speed, average speed, displacement, and time; Calculate velocity and speed given...
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Unit Plan
Sophia Learning

Sophia: Instantaneous Velocity: Lesson 1

For Students 9th - 10th
This lesson introduces the concept of instantaneous velocity without the use of calculus. It is 1 of 2 in the series titled "Instantaneous Velocity."
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Unit Plan
Sophia Learning

Sophia: Practice Calculating Instantaneous Velocity: Lesson 1

For Students 9th - 10th
This lesson provides the learner with example problems on calculating the instantaneous speed and velocity of an object. It is 1 of 2 in the series titled "Practice Calculating Instantaneous Velocity."
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Article
Khan Academy

Khan Academy: Instantaneous Velocity and Speed From Graphs Review

For Students 9th - 10th
Review the key terms and skills related to analyzing motion graphs, such as finding velocity from position vs. time graphs and displacement from velocity vs. time graphs.
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Activity
Physics Aviary

Physics Aviary: Graphing Motion Problem Level 4

For Students 9th - 10th
Find out the instantaneous velocity based on a position vs. time graph.
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eBook
University of California

Ucla: Speed and Velocity

For Students 9th - 10th
Discusses the meaning of velocity in terms of a graphical representation. Calculus-based discussion. Good graphics.
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Website
Other

Easyphysics: Chapter 2 Velocity

For Students 9th - 10th
Learners investigate velocity. Some topics examined are average velocity, distance, and displacement. The resource includes example problems with solutions, interactive graphs, and a chapter quiz.
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Article
Khan Academy

Khan Academy: What Are Velocity vs. Time Graphs?

For Students 9th - 10th
How to analyze graphs that relate velocity and time to acceleration and displacement.