LEARN NC

K–12 teaching and learning · from the UNC School of Education

Goal 3

Geometry -The learner will understand and use properties and relationships of geometric figures in the coordinate plane.

Objective 3.03

Transform figures in the coordinate plane and describe the transformation.

Resources aligned to this objective

Translations, reflections, rotations
This lesson will allow students to explore translations, reflections, and rotations using a resource of Shodor Education Foundation, Inc. Permission has been granted for the use of the materials as part of the workshop Interactivate Your Math Students. Students explore the world of translations, reflections, and rotations in the Cartesian coordinate system by transforming squares, triangles and parallelograms. Parameters: Shape, x or y translation, x or y reflection, angle of rotation. (Italics are a direct quote from Shodor.org.)
Format: lesson plan (grade 6–8 Mathematics)
By Deborah Bourne.

Resources on the web

When is a cube not a cube?
Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Understanding congruence, similarity, and symmetry using transformations and interactive figures: Visualizing transformations
The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Some “Escher” drawings
Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Sizing up the solar system
Students use the internet to investigate and design various models of size and distance related to the solar system. (Learn more)
Format: lesson plan (grade 6 Mathematics and Science)
Provided by: American Association for the Advancement of Science
Purple Prisms
In this lesson, one of a multi-part unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
The plus sign and triangle
In this lesson, students explore the concepts of identity, inverse, commutativity, and associativity. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Moving cubes
Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Mat Plans
Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Line 'em up
In this Illuminations lesson, students learn to plot a point (given its coordinates) and to state the coordinates of a given point using a graphing program for a Texas Instruments graphing calculator. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Learning about length, perimeter, area, and volume of similar objects using interactive figures: Side length and area of similar figures
This two-part example illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. (Learn more)
Format: lesson plan (grade 4–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Go with green rectangles
In this lesson, one of a multi-part unit from Illuminations, students manipulate 2-dimensional rectangles using an online interactive applet. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Finding satisfactory solutions
Students apply creative solutions to problem solving in the context of a story problem. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: American Association for the Advancement of Science
Exploring the isometric drawing tool
In this lesson, one of a multi-part unit from Illuminations, students explore using an isometric drawing tool and gain practice and experience in manipulating drawings. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Exploring front-right-top views
Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Do they match?
Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics
Do they match?
In this lesson, one of a multi-part unit from Illuminations, students use three dimensional figures they have constructed to determine when two isometric drawings can represent the same shape. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Describing Rotations
Students use an interactive Java applet to investigate the effect of rotations through different angles and on different shapes. (Learn more)
Format: lesson plan (grade 6 and 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Covering the Plane with Rep-Tiles
Students discover and explore a special kind of tiling of the plane. (Learn more)
Format: lesson plan (grade 5–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Building from the front-right-top views
Students explore polyhedra using different representations and perspectives for three dimensional block figures. (Learn more)
Format: lesson plan (grade 6–8 Mathematics)
Provided by: National Council of Teachers of Mathematics