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Curated OER
Vaccines
Students explore and explain the role of vaccines in infectious disease, They emphasize immunological principles and viral/bacterial infection processes. Students explore the three main vaccine types: DNA vaccines ("gene gun"),...
Curated OER
Choosing a College
How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...
Curated OER
CELL TRANSFORMATION IN TOBACCO LEAF DISKS
Students work with whole plant material and are not required to measure small quantities, yet they can see evidence of transformed plant cells (plant cells that have genes from bacterial plasmids). This is a laboratory suitable for...
Curated OER
Translation
Tenth graders identify and interpret vocabulary terms as they relate to vectors. Students practice translations by creating several tessellations. Students determine the direction and distance using vectors. Students use grid paper to...
Curated OER
Precalculus Worksheet 8.3
In the precalculus instructional activity, students compute vectors and angle directions from given equations. They read and interpret information from three word problems to determine direction, speed, and the velocity vector in...
Curated OER
Linear Systems
For this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
Curated OER
Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
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Coulomb's Law
Learners solve problems involving electric charges and force. In this physics lesson, student solve word problems using addition and subtraction of vectors. They identify the direction represented by a vector as it relates to an electric...
Curated OER
Worksheet 12
In this math worksheet, students explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
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Quaternions
In this quaternions learning exercise, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by...
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Physics
For this velocity lesson students complete a series of multiple choice and short answer questions on altitude, velocity and energy.
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Trigonometric Functions
For this trigonometric worksheet, students examine trig functions dealing with directions and decide whether the functions are linear or not. There are 13 matrices to be analyzed with an answer key.
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Multivariable Calculus: Introduction to Path Integrals
In this path integral instructional activity, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page instructional activity contains five...
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Multivariable Calculus: Euclidean Geometry
In this Euclidean geometry worksheet, students determine if planes are parallel or perpendicular to each other. They identify the vector position. This two-page worksheet contains definitions, examples and explanations of how to do the...
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Linear Systems: Lengths and Dot Products
In this dot product worksheet, students explore the multiplication of vectors. This two-page worksheet contains explanations, examples, and approximately ten problems.
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General Solution to Ax=b
In this math worksheet, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
Curated OER
Applications of the Pythagorean Theorem - Magnetism
Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values...
Curated OER
Changing Planet: Infectious Diseases Classroom Activity
Here is a different approach: emerging epidemiologists first go home to interview family on the topic of infectious disease. Then they come to class and view a video and PowerPoint that explore how climate change may increase the...
EZ Task
Forces
Investigate force, acceleration, Newtons, and vectors with this worksheet packet that starts with an overview fact sheet for reference. Learners label images as either push or pull forces, indicating if the force causes a change in...
National Center for Case Study Teaching in Science
Applying Newton’s Third Law of Motion in the Gravitron Ride
Here is a collection of readings to be discussed in the science classroom. This one is in the form of a dialog between two boys in an amusement park, talking about the forces involved in a Graviton ride. Questions are listed at the...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
EngageNY
End-of-Module Assessment Task — Precalculus (Module 1)
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
EngageNY
Matrix Multiplication Is Distributive and Associative
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson in the series, pupils now test the associative and distributive properties. The...
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