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Lesson Plan
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Battery Operated Model Car Experiments

For Teachers 7th - 10th
Students time battery operated cars over a set track and determine the velocity of each type of car. They use the cars as manipulatives to demonstrate word problems involving velocity.
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Lesson Plan
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How Fast Is that Rocket?

For Teachers 8th
Eighth graders calculate the speed of a falling object using measurements from a falling rocket. They report data from their data sheet to the teacher to record on the board or on the overhead transparency and discuss the results with...
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Lesson Plan
Curated OER

The Way Things Fall

For Teachers 9th - 12th
Students see that light and heavy objects fall at the same rate, as established experimentally by Galileo. They see that falling objects, and balls rolling down an incline, tend to accelerate at a constant rate a. Their velocity...
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Worksheet
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Overview Worksheet

For Students 10th - 11th
In this instructional activity, learners solve 5 multi-step problems involving sine, cosine, velocity, inflection and constants.
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Worksheet
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Worksheet 35

For Students 11th - Higher Ed
In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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Lesson Plan
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The Doctrine of Signatures

For Teachers 10th - 12th
Students use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...
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Lesson Plan
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Traffic Problem- Solved Using Microsoft Excel

For Teachers 9th - 12th
Students relate algebra to real life scenario. In this algebra lesson plan, students design a plan to help traffic flow smoothly using velocity and speed. This assignment is done using Microsoft Excel.
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Lesson Plan
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Walking on Water

For Teachers 9th - 12th
Students use this problem to help them to relate to force vectors: Suspend a meterstick horizontally between two tables. Place a 1kg mass in the middle of the meterstick. Notice the bend of the meterstick. Explain why the meterstick...
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Worksheet
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Calculating Arc Lengths of Simple Functions-I

For Students 10th - Higher Ed
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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Lesson Plan
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Kepler And His Laws

For Teachers 9th - 12th
Learners engage in an overview of the story of Tycho Brahe and Johannes Kepler, and of Kepler's laws. Each of Kepler's laws be studied separately in more detail in later lessons. They examine Kepler's 3rd law.
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Lesson Plan
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Move It

For Teachers 8th - 10th
Studens collect and graph data. In this algebra lesson, young scholars use a CBL and CBR with a TI Calcualtor to observe linear graphs. They use the correct vocabualry as they discuss the collected data.
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Worksheet
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AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
In this calculus worksheet, learners solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Learners find the area of an enclosed region between two curves.
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Worksheet
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Worksheet 25 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, learners use the theory of quantum mechanics to determine the relative position of objects and how motion could affect them.
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Worksheet
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Worksheet 15 Computer Lab

For Students 11th - Higher Ed
In this math worksheet, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.
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Worksheet
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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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Worksheet
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Higher Order Differentiation and Implicit Differentiation

For Students 9th - Higher Ed
In this differentiation instructional activity, students calculate the first and second order derivatives and use implicit differentiation to solve 4 questions with multiple parts.
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Lesson Plan
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Going My Way (High School Math)

For Teachers 9th - 12th
Students solve uniform motion problems using formula d = rt.
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Worksheet
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Worksheet 19

For Students 6th - Higher Ed
In this math activity, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).
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Worksheet
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Worksheet 9 Practice Test 1

For Students 11th - Higher Ed
In this math worksheet, students find the solutions to the differential equations. Then they examine the group of equations in order to determine the ones that are linear.
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Worksheet
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Euler's Method

For Students Higher Ed
For this Euler's method worksheet, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page worksheet contains...
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Worksheet
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Worksheet 34

For Students Higher Ed
In this math learning exercise, students are given terms from the Fourier sine or cosine series. They solve for the corresponding term that is in the solution u(x,t). Boundaries are specified. Three application problems follow the terms.
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Worksheet
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Worksheet 33

For Students 11th - Higher Ed
In this math worksheet, learners find the solutions to the wave equations that are presented in a variety of situations. They also sketch a solution as directed.
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Worksheet
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Worksheet 37

For Students 11th - Higher Ed
Students review the general form of the solution to the Dirichlet problem on the rectangle 0 ≤ x ≤ a, 0 ≤ y ≤ b with homogeneous boundary conditions except for u(a, y) = f(y). Then they use the symmetry to find the general form of the...
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Worksheet
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Worksheet 31

For Students 11th - Higher Ed
In this math instructional activity, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.

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