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,...
GNS Science
Think like a Geologist: 2
All models are better in three dimensions. A hands-on lesson asks learners to create 3-D models of a rock layer using a template. They arrange the puzzle piece sides together to create models that are scientifically correct. Once the...
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
Math - "Solid Shapes" - Comparing 3-D Objects
In this geometry worksheet, students learn about 3-D objects and how to describe them. They then answer 10 questions using the information they learned. The answers are on the last page.
Curated OER
Graphs, Three-Dimensional Coordinates
For this three-dimensional graphing worksheet students identify the coordinates of the vertex of shown figures. The first three shapes show all answers. The following 8 shapes are on coordinate dot paper, with all three axis shown and...
Curated OER
Similarity: Instructional
In this similarity worksheet, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then, students...
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same constant.
Curated OER
Applied Science - Science and Math Lab
Create three dimensional objects in an applied science instructional activity. The goal is for your class to recognize, compare, and model shapes. Using cookie cutters and clay or play dough, they create models for three-dimensional shapes.
Shodor Education Foundation
Cross Sections
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
National Gallery of Canada
The Changing Composition
Play with dimensions and practice making a two-dimensional scene look three-dimensional. Class members view pieces of art and then make their own scenes by layering different materials and drawing in details. Check out all the tabs for...
Curated OER
Fish Tale
Here is a cute problem that requires visualizing two-dimensional shapes within a three-dimensional object, and using properties of triangles and the Pythagorean theorem to solve a real-world problem. There is a small mistake in this...
Common Core Sheets
Rectangles - Same Area and Different Perimeter
Given a rectangle with specified dimensions, third graders are prompted to create a new rectangle with the same area, but a different perimeter. This challenges learners to think about perimeter and area in a new way. Use instructional...
Common Core Sheets
Rectangles - Same Perimeter and Different Area
Given a rectangle with specified dimensions, learners are prompted to create a new rectangle with the same perimeter, but a different area. This challenges third graders to think about perimeter and area in a new way. Each problem...
Curated OER
Spiral Symmetry
Taking the notion of symmetry to the next level, this looks at combining rotation and translation symmetry to build spiral symmetry in three dimensions. Using the Zome modeling system and an instructor’s guidance, geometers try to build...
Curated OER
Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank instructional activity, 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
Elegant Universe, The: Einstein's Dream
Students visualize a universe with fewer than three spatial dimensions. They consider how more than three spatial dimensions could exist in the universe.
Curated OER
Water on Mars!
In this water on Mars worksheet, students use a diagram to answer four questions about the structures in the image. They find the dimensions of the image, the width of the streams half-way down their flow channels, the smallest feature...
Curated OER
2: Isle of Shapes - Based on the Puerto Rico Quarter Reverse
Students identify both two and three-dimensional shapes. In this geometric shapes lesson, students listen to a teacher led lesson about the island of Puerto Rico. They look at the symbols and shapes on "Puerto Rico Quarter Reverse" on a...
Carnegie Mellon University
Technical Sketching Worksheets
How do you create a technical drawing? Cover the basics of technical sketching with a few practice sketches of simple shapes. A technical sketching lesson introduces the proper precision measurement techniques. Pupils progress to draw...
CPALMS
2D Rotations of Triangles
Where does the line of rotation need to be to get a cone? Pupils respond to three questions involving rotating a right triangle about different lines. The scholars describe the solid created along with providing details about its...
Yummy Math
Raspberry Chocolate Heart Cake
Have you ever finished a piece of cake and wished you had more? Solve this common dilemma with math! A straightforward worksheet prompts middle schoolers to use the given dimensions of a heart-shaped cake when planning to bake two larger...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
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...