National Math + Science Initative
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry learners. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a bounded...
Curated OER
Two-Dimensional Graphs
In this two-dimensional worksheet, students sketch given graphs. They evaluate a function and sketch a level curve. This two-page worksheet contains two problems.
Curated OER
Partitioning a Hexagon
The task at hand is to partition a hexagon into two, four, and eight congruent figures. Make sure to give your wizards a sheet of triangle grid paper on which to decompose the hexagons. Have them explain which rotations, reflections, or...
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 instructional activity includes a list of relevent terminology, and a step-by-step process to...
Curated OER
Two-Dimensional Drawings from Three Dimensional Objects
Sixth graders identify and replicate two dimensional illustrations of three dimensional objects. In this spatial visualization lesson, 6th graders practice viewing objects from various sides. Student participate in stations to view...
Curated OER
Graphing Systems of Inequalities
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
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...
Curated OER
Relating Algebra to Geometry
Learners investigate the connection that exists between Algebra and Geometry. They classify two and three-dimensional figures. Pupils use formulas to solve problems in geometry and use appropriate measuring devices in the right contexts.
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
Curated OER
Graphs, Three-Dimensional Coordinates
In 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...
Learner
Solid Shapes
A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...
Curated OER
Graphing Equations in Space
In this equations in two/three-dimensional space worksheet, students practice solving equations involving two/three-dimensional space configurations and finding the center and radius of spheres in twenty-six equations and two word problems.
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.
Iowa State University
A Model of Learning Objectives (Revision of Bloom's Taxonomy)
What would a three-dimensional representation of Bloom's revised taxonomy of the cognitive domain look like? Get a glimpse of the complex classification system that is frequently referenced in education to distinguish levels of learning.
Curated OER
Geometry and Measurement
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
Curated OER
Getting Into Shapes: Identifying and Describing Two-Dimensional Shapes
Young scholars examine their classroom to find examples of various types of shapes. After identifying and describing the various shapes, they draw as many as they can on a piece of paper. They organize them into an image based on their...
Agile Mind
Transforming Graphs of Quadratic Functions
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
Technical Sketching
Introduction — Surfaces and Edges
How different can 3-D and 2-D really be? An engineering resource provides an explanation about the importance of two-dimensional technical drawings. Several samples show how to create multi-view drawings from pictorials and vice-versa....
CK-12 Foundation
Irwin 2D
Learners explore two-dimensional motion through visual modeling with an interactive lesson that allows them to control the path of a robot. Graphs show both the horizontal and vertical motion as the robot continues through its entire route.
US Department of Commerce
My Dream Home
Dream big or go home. After analyzing a bar graph on the number of bedrooms in US homes derived from census data, scholars design their own dream homes. They cut out two-dimensional shapes from construction paper to create models of...
Curated OER
Two-Dimensional Drawings from Three-Dimensional Objects
Sixth graders identify and draw two-dimensional representations of a three-dimensional object. Students investigate the views of an object and determine that three views are required (front, one side and the top). Students use these...
Curated OER
Hybrid Vehicles: Cut Pollution and Save Money
Math and science meet in this instructional activity on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a instructional activity that compares the use of internal combustion engines to hybrid...
Curated OER
Worksheet 24
In this math worksheet, students work with three dimensional graphing. The application problems include surface ships on maneuvers determining a submarine's course, helicopter travel, and proving that four points are coplanar. Students...
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...