CK-12 Foundation
Directed Line Segments: Dog Park
Its a dog's world! Using a vector in standard position, pupils model the path a dog takes to different items in a dog park. The individuals use the interactive to find the magnitude and direction of the directed line segment.
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
Curated OER
NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
Curated OER
Calculating Intervals Using Stokes' Theorem
In this calculating intervals worksheet, students calculate intervals using Stokes' Theorem. They justify their answers with words and pictures. This two-page worksheet contains 3 multi-step problems.
Curated OER
Transformations and Matrices
There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...
Curated OER
Introduction to Linear Algebra 1.3
In this linear algebra worksheet, students write down the system that arises from the vector equation stated. Then they apply the Gaussian elimination method to solve their system. Finally, students explain their conclusion and answer...
Curated OER
Convolution
In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...
Curated OER
Worksheet 26 - Function
In this function worksheet, students identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.
Curated OER
Least Squares
In this least squares worksheet, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
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
Multivariable Calculus: Parametric Equations of Lines and Planes
In this parametric equation worksheet, students find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page worksheet contains examples, explanations and...
CK-12 Foundation
Vectors as Directed Line Segments: Directed Line Segment
Direct your class' attention to directed line segments. The interactive resource allows pupils to create segments with specific endpoints. Scholars plot the initial and terminal points to determine the direction and magnitude of the...
Curated OER
NUMB3RS Activity: Riding the Waves
High schoolers use the TI-Navigator system to explore vector fields and make predictions. They also identify what a vector field is and that it represents the movement of water. Pupils try to determine where a bottle floating might have...
Curated OER
Using Gauss' Law to Calculate Electric Fields
In this electric fields activity, students use Gauss' Law to calculate electric fields. They explore symmetry, magnitude and surface integrals. This two-page activity contains 2 multi-step problems.
Curated OER
Dynamic Algebra
Explore 5 classical problems of algebra. They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual thinking.
Mathed Up!
Translations
Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils work...
Concord Consortium
Line of Sight
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
Curated OER
Linear Independence, Bases and Coordinate Systems
Students define vocabulary related to vectors and investigate vector problems. In this math lesson, students define basis and explore plotting vectors in correlation to their basis. Plotting polynomials facilitates student understanding.
Curated OER
Precalculus Worksheet 8.3
In the precalculus worksheet, 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 navigation problems.
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
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...
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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