Curated OER
Coordinate Plane
Students use computer applets to demonstrate three dimensional coordinate planes. In this coordinate planes lesson plan, students play a coordinate game and a maze game.
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
American Museum of Natural History
Thinking in the Three Dimensions
Discover different dimensions with paper folding. Pupils first read about zero, one, two, and three dimensions, and then learn about the fourth dimension, time. They then use origami to create models of shapes in three dimensions and use...
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
Rectangles and Trapezoids in the Coordinate Plane
Students determine the missing vertices of quadrilaterals. In this rectangles and trapezoids lesson plan, students examine the characteristics of quadrilaterals. They identify the missing vertices of a quadrilateral on a coordinate plane.
EngageNY
Dilations on the Coordinate Plane
Dilations from the origin have a multiplicative effect on the coordinates of a point. Pupils use the method of finding the image of a point on a ray after a dilation to find a short cut. Classmates determine the short cut of being...
Curated OER
Applications of the Pythagorean Theorem - Magnetism
Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values...
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
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.
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
Curated OER
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
Curated OER
Connecting With Coordinates
Play a coordinates game to encourage collaborative learning and grid use! Learners plot points on grids and play a game that challenges them to locate a specific point on a coordinate grid by using horizontal and vertical movements.
Curated OER
Calculating Distances in Two and Three Dimensions
Young scholars use the Pythagorean Theorem to solve problems. In this geometry lesson, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.
Curated OER
Math 212: Planes
In this plane worksheet, students find the midpoint of a line, determine points on a plane, and use the cross product to find an equation with given parameters. This two-page worksheet contains three problems.
Curated OER
The Next Dimension
Learners explore the three dimensional Cartesian coordinate system and discuss how it is important for structural engineers in order to be able to describe locations in space to fellow engineers. They participate in a hands-on activity...
Concord Consortium
Rectangle Space
Take a coordinated look at rectangles. The task asks pupils to plot the length and width of created triangles in the coordinate plane. Using their plots, scholars respond to questions about rectangles and their associated points on the...
Education Development Center
Finding Parallelogram Vertices
Four is the perfect number—if you're talking about parallelograms. Scholars determine a possible fourth vertex of a parallelogram in the coordinate plane given the coordinates of three vertices. They read a conversation...
Utah Education Network (UEN)
Geometry
Shape one's understanding of geometry using the resource. The sixth of seven chapters in 6th Grade Math focuses on geometry principles. Future mathematicians learn to find the area of parallelograms, trapezoids, triangles, and other...
Curated OER
Three D Constellations
Students address a major misconception in astronomy, the understanding of scale. The lesson is designed to introduce students to both celestial coordinates and to the first rung on the distance determination ladder, parallax.
Curated OER
Interactivate - Lines, Rays, Line Segments, and Planes
Students explore lines, rays, line segments, and planes. In this math lesson, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
Curated OER
Three D Constellations
Students are introduced to both celestial coordinates and to the first rung on the distance determination ladder. They convert spherical coordinates to Cartesian coordinates to construct a three dimensional model of a constellation...
Charleston School District
3D Applications of the Pythagorean Theorem
How many right triangles can you find in a prism, cone, or pyramid? Using right triangles to find lengths in three-dimensional figures is the focus of the lesson. After working with the Pythagorean Theorem to find missing side...
Curated OER
Spatial Relations - Week 9
In this spatial relations worksheet, students solve three-dimensional problems. They find the total number of triangles in a given figure, the number of line segments that endpoints and use integer points to solve two problems. This...
Curated OER
Worksheet 36-Spring 1996
In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....