EngageNY
Linear Transformations as Matrices
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
CK-12 Foundation
Portrait Gallery
An interactive lesson explores the effect of force angles on resulting forces. Learners adjust angles of strings supporting hanging portraits and watch the effects on the resultant force. Vector diagrams provide a visual representation...
Curated OER
Vectors
Students describe motion by the use of adding vectors. They identify the difference between the x and y components of vector quantities. Students are given the Paper Bridge Building handout and the instructions as to where to perform...
PHET
Gravity And Orbits
Have you ever wanted to turn off gravity? This simulation allows learners to do just that in addition to altering other variables. Scholars can move the sun, Earth, moon, and space station to see how distance affects gravitational pull....
Curated OER
Upwelling - Cold One Day, Warm Another?
Discuss with your oceanographers what forces cause nearshore upwelling and downwelling. Display a line of wind vectors alongside a graph of the temperatures so that they can discover whether or not they are related. Discussion questions...
Curated OER
Hang Time
Students simulate the motion of a fly ball with different winds. They use a partner to provide the simulated wind. Students draw a baseball diamond and the field on a piece of paper. They drag the pen across the paper to show the path of...
Curated OER
Waterskiing in Circles
Students discuss and give examples of Newton's three laws. They then answer questions in reference to Newton's three laws. One example of the questions that students answer is: A water-skier typically uses a 75 foot tow rope. The skier...
Curated OER
Convolution
For this convolution worksheet, students solve 8 different problems related to convolution. First, they determine the formulas for eight samples of f and g. Then, students write out the matrix found. In addition, they define the...
Curated OER
Linear Systems: Vector Spaces
In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
Curated OER
Interpolating Function
For this interpolating function worksheet, learners solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
Curated OER
Quaternions
In this quaternions worksheet, 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 doing...
Curated OER
Coulomb's Law
Students 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
Circular Motion
A helpful physics presentation will have you talking in circles! The material covers circular motion, and includes diagrams, formulas, and example problems. When used in addition with directed instruction and a teacher-created form of...
EngageNY
Distance and Complex Numbers 1
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
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...
Curated OER
Linear Systems
In 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
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Rice University
College Physics for AP® Courses
Take a look at an organized physics course. The 34-section electronic textbook covers material in AP® Physics 1 and 2. Teachers use the text to supplement lectures and have the class work through the labs. Each section contains multiple...
Curated OER
The "Seedier" Side of Plants
Students demonstrate seed dispersal vectors through role-play, analyze seed types, identify plant parts, list seven conditions plants need in order to grow, and describe how seeds travel.
Curated OER
Epidemic, Plague, and Infection
Students recognize disease vectors (pathways) and risk factors for infectious diseases.
Curated OER
Matrices and Transformations
For this matrix worksheet, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.
Teach Engineering
Thrown for a Loop
Round and round it goes. Class members observe a current carrying loop in a magnetic field and calculate its associated torque. They then apply what they have learned to example problems to solve for the torque and to calculate the...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 2
Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.
Curated OER
Vectors
Students use both magnitude and direction to locate a place. They use locating techniques to make a temperature field of their classroom.
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