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Arc Length Lesson

For Teachers 9th - 11th
Students find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Matter and Energy

For Teachers 7th - 12th
Students explore energy by completing a science worksheet in class. For this principles of matter lesson, students define the vocabulary terms force, gravity, nuclear, and electromagnetic before reading assigned text about energy....
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Trajectory and Range of a Projectile

For Teachers 9th - 12th
Students investigate the factors affecting projectile trajectory. In this physics lesson, students calculate the range, time and speed of projectiles using mathematical equations.
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Collecting Ball Bounce Data

For Teachers 6th - 12th Standards
Learners investigate quadratic equations as they use a CBR to collect and analyze data regarding a bouncing ball. Pupils explore different methods for determining the equation of the parabolic path including quadratic regression and...
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Potential and Kinetic Energy

For Students 9th - 12th
In this kinetic and potential energy worksheet, students read about energy of position and energy of motion and are given the equations to find each. Students match 11 terms with their definitions about both types of energy and the...
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Definite Integrals

For Students 11th - 12th
In this calculus worksheet, students calculate the definite integral given different functions. They evaluate the functions for given values. There are 20 questions.
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Parametric Races & Slopes

For Teachers 9th - 12th Standards
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
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Motion of a Bouncing Ball

For Teachers 12th
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
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Worksheet 20

For Students 11th - Higher Ed
In this math worksheet, students Investigate the structure and function of how the numbers of people infected with HIV changes over time. They answer the fact of it either increasing or decreasing.
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Planet Impact

For Teachers 8th - 10th
Students use their knowledge to crash a comet into Jupiter or make a comet fly past the planet without colliding with it.
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Tubular, Dude! Exploring Blood Vessels

For Teachers 10th - 12th
Students explore the cardiovascular system. In this human body lesson, students observe blood flow and study cardiovascular diseases and how they affect the human body system.
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Newton's Laws

For Teachers 6th - 8th
Students give examples of each of Newton's three laws as they occur in everyday experiences. They visually represent and differentiate the difference between a direct proportion and an inverse proportion. Students explain how the...
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Worksheet 21 Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 33

For Students 11th - Higher Ed
In this math worksheet, students state Newton's second law of motion and his law of gravity. Then they state Kepler's three laws of planetary motion.
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Higher Order Differentiation and Implicit Differentiation

For Students 9th - Higher Ed
In this differentiation worksheet, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.
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Projectile Motion

For Teachers 12th
Twelfth graders experiment with a projectile that is launched horizontally after a demonstration and small discussion about two pennies, one dropping from a table top and the other being slide off the top and hitting the ground at about...
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Worksheet 34

For Students 11th - Higher Ed
In this math worksheet, students find the plane perpendicular to the path (t2, t, cos 2πt) at time t = 1/4. Then they determine the location in which the object is moving the fastest.
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Vectors

For Students 11th - Higher Ed
For this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that...
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Newton's Law Vocabulary

For Students 3rd - 4th
In this Isaac Newton worksheet, students analyze ten words in a word box that pertain to Newton's Law. Students match these words to their definitions.
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Newton's Laws and Winter Sports

For Teachers 5th - 8th
Young scholars investigate past winter Olympic games utilizing any skiing or snowboarding event to take Newton's Challenge. Helpful Web resources are provided and students enjoy learning science laws along with researching Olympic events.
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Perpetual Motion

For Teachers 9th - 12th
Students are introduced to the concept of Energy Conservation with the example of: Tony Hawk seems to defy the conservation of energy as he keeps reaching new heights on each pass on the halk-pipe. Actually, Tony is supplying the extra...
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Vector Manipulation Unit

For Teachers 9th - 10th
Students are introduced to the concept/idea of a vector, what it represents and why they are used. They develop an understanding of what vectors are, how and why they are used.
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Force/Newton's Laws/Friction

For Teachers 6th - 8th
Middle schoolers describe how to recognize a force, define balanced and net forces, state Newton's first law of motion, explain why friction works, state Newton's second Law of Motion, and explain why the direction of force is important.
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Worksheet 17 Practice Exam

For Students 11th - Higher Ed
In this math worksheet, students complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.

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