Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...
Curated OER
Worksheet 4 - Geometric Mean
In this geometric worksheet, students examine the geometric and algebraic definition of the dot product. They find angles between two curves, determine if two vectors are parallel, and explain conditions on vectors. This one-page...
Curated OER
Worksheet 24 Spring 1996
For this math worksheet, students find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
Curated OER
Multivariable Calculus: Introduction to Vectors
In this vector worksheet, students find the length of vectors and the distance between two points. This two-page worksheet contains examples, definitions, and explanations, as well as two problems.
Curated OER
Science: Vectors
Students solve vector problems and identify the x and y coordinates. They determine if the coordinates are positive, negative, or zero. Students solve problems and convert the x and y coordinates to magnitude and direction.
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector space learning exercise, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page learning exercise contains approximately six multi-step...
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
Urbana School District
Physics Intro, Kinematics, Graphing
Some consider physics the branch of science concerned with using long and complicated formulas to describe how a ball rolls. This presentation, while long, is not complicated, yet it covers rolling, falling, and more. It compares vectors...
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
Urbana School District
Electric Fields
What kind of pears do electricians eat? Amperes! Presentation begins with electric field vectors for various charge configurations and field strengths for both point charges and uniform fields. It continues with various surfaces,...
Curated OER
Typical Numeric Questions for Physics I - Motion
Seven pages with 33 multiple choice questions about motion make up this activity. Calculations must be performed in order to choose the correct answer. Physics majors will solve for angles, displacement, acceleration, speed, and time for...
Curated OER
Worksheet 21 Spring 1996
In this math activity, 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.
Curated OER
Acceleration and Average Speed
In this acceleration and average speed worksheet, students learn the equations for acceleration and average speed. They match 6 variables with their quantities, they identify speed vs. velocity and scalar vs. vector and they solve 4...
Curated OER
Vocabulary for Newton's Laws
In this Newton's laws activity, learners match 24 terms with their definitions about topics related to Newton's three laws of motion. Topics include free body diagrams, vector diagrams, static equilibrium and all terms related to the...
Curated OER
Acceleration
In this acceleration worksheet, students solve 14 problems including finding work done on an object, the speed of an object, the distance traveled and the acceleration.
Curated OER
Matrix Operations
In this matrix operations worksheet, students solve 3 different sets of problems that include matrix operations. They solve each matrices and explain the relation between the computed matrices in each problem. Then, students prove or...
Curated OER
Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
Curated OER
Acceleration
Learners develop an understanding of velocity and to distinguish it from speed. To determine the difference between a scalar and a vector quantity. To explore how acceleration is derived from velocity and time.
Curated OER
Linear Systems
In this multiplication of vectors activity, 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 orthogonality.
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.
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,...
Curated OER
Hang Time
High schoolers 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...
Curated OER
Multivariable Calculus: Visualizing Multivariable Functions
In this multivariable functions worksheet, students graph functions and describe the level sets of the function. This two page worksheet contains approximately ten problems.
Curated OER
Newton's Third Law
Students describe an everyday situation which demonstrates Newton's Third Law. They state Newton's Third Law;"Every action has an equal and opposite re-action, or every force has an equal and opposite force" in their own words. ...