Curated OER
Proportional Dimensions
In this dimension worksheet, students determine the amount of material needed to construct three-dimensional figures. They find the dimensions of areas inscribed in given diagrams, determine the amount of profit, and the maximum flow of...
Curated OER
Worksheet on Dimension
In this dimension worksheet, students describe the dimension of a line, a knotted curve, an abstract set, explore a paraboloid. This two-page worksheet contains eight problems.
Curated OER
Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank lesson, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
Curated OER
Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
Curated OER
Matrix Multiplication
In this matrix multiplication worksheet, 11th graders solve and complete 8 different problems that include a number of steps in an activity. First, they use the matrix illustrated to respond to various questions referring to it. Then,...
Curated OER
MOVING IN TWO DIMENSIONS (GRAPHING)
In this graphing activity, students are asked to graph a "sketch" of a path walked by a student. Directions E, W, N and S are used. Students are given 8 graphs to complete and are then asked to evaluate their findings.
CK-12 Foundation
Matrices to Represent Data: Houndstooth
Apply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns.
Curated OER
Solving Trigonometry Problems in Two and Three Dimensions
In this Pre-calculus/Trigonometry worksheet, students solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.
Curated OER
Matrices
In this matrices worksheet, 11th graders solve and complete 25 different problems. First, they use the given matrices to write the dimension of a matrix. Then, students add the matrices and find the scalar product. In addition, they...
Curated OER
Points in Three Dimensions
In this plotting points worksheet, students plot 18 points in the 3-D plane. Students plot points on a graph given a point.
Curated OER
Math 214: Quiz 9 - Dimensions of Subspaces
In this subspace activity, students determine the dimension of a nullspace and column space of a given matrix. This two-page activity contains three problems.
Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
Curated OER
Unstable Table
Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.
EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
Concord Consortium
Build a Box
Strive for gold with an informative resource. A short task challenges learners to investigate the thickness of a box made from a given volume of gold. The box must have specific dimensions, so setting up and solving a literal equation is...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
101 Questions
Styrofoam Cups
How many cups does it take to reach the top? Learners attempt to answer this through a series of questions. They collect dimension information and apply it to creating a function. The lesson encourages various solution methods and...
Curated OER
Linear Algebra
In this linear algebra worksheet, students solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
Mathematics Assessment Project
Evaluating Statements About Enlargements
Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...
Center for Innovation in Mathematics Teaching
Vectors
Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive lesson which includes six...
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...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of transformations.
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
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