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

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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.
Reflection designs
Students will be able to illustrate the geometric transformation of a reflection through creating their own unique designs.
Format: lesson plan (grade 4 Mathematics)
By Karen Boles.
Flipping around pentominoes
The students will use Unifix cubes to create the twelve different pentominoes. The students will join 5 Unifix cubes to make different shapes that will lie flat on a table or level surface. The students will then test for new shapes by flipping, sliding, or turning to create each different pentomino.
Format: lesson plan (grade 4 Mathematics)
By Dianne Wingate.
Primary fitness skills unit
The main focus of this unit is primary physical fitness skills assessment and development. With PE class scheduled once a week, fitness assessment becomes a challenge. This unit keeps students moving and at the same time assesses their primary fitness skills in each lesson.
Format: lesson plan (grade 4–5 Healthful Living)
By Bozena Mielczak.

Resources on the web

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
Relating Rotations to Symmetry
Students investigate the relationship between rotations and the symmetry in a figure or a design. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Virtual Puzzles
Students work with virtual puzzles to experience turns, rotations, slides, and spatial relationships in a powerful way. (Learn more)
Format: lesson plan (grade K–2 Mathematics)
Provided by: National Council of Teachers of Mathematics
Finding What Doesn't Change
Students predict the effect of a rotation through a given angle. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Symmetries I: Conclusions
This lesson challenges students to reflect on the mathematical ideas learned in a multi-part lesson on Geometry. (Learn more)
Format: lesson plan (grade 9 Mathematics)
Provided by: National Council of Teachers of Mathematics
Symmetries II: Conclusions
In this lesson, one of a multi-part unit from Illuminations, students reflect on what they learned in the three previous lessons. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Reflections across two mirror lines
In this lesson, one of a multi-part unit from Illuminations, students learn what happens when a design is reflected twice across two different mirror lines. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Describing reflections
In this lesson, one of a multi-part unit from Illuminations, students learn how reflections work and what happens when two or more reflections are applied one after the other. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Tangram Puzzles
This activity helps students to develop their spatial memory and spatial visualization skills, to recognize and apply transformations, and to become more precise in their use of vocabulary about space. (Learn more)
Format: lesson plan (grade K–2 Mathematics)
Provided by: National Council of Teachers of Mathematics
Figuring in football
Students examine the influences of pattern, symmetry, and design in the real-world, by looking at a football field. (Learn more)
Format: lesson plan (grade K–2 Mathematics)
Provided by: National Council of Teachers of Mathematics
Symmetries III
This lesson, from Illuminations, helps students to understand how translations work and what happens when two or more translations are applied one after the other. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Reflect on this
In this lesson, from Illuminations, students investigate reflections in a plane using mirrors (or other reflective materials) and a geometry utility. They apply their findings to examination of interior angles of regular polygons. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Symmetries IV
This lesson, from Illuminations, helps students to understand and identify glide reflections. With the help of a Java applet, students construct glide reflections using a translation and a reflection. (Learn more)
Format: lesson plan (grade 9–12 Mathematics)
Provided by: National Council of Teachers of Mathematics
Building a box
This Illuminations lesson uses a real-world situation to help develop students' spatial visualization skills and geometric understanding. (Learn more)
Format: lesson plan (grade 6–7 Mathematics)
Provided by: National Council of Teachers of Mathematics
Developing geometry understandings and spatial skills through puzzlelike problems with tangrams
This two-part tangram example demonstrates the potential for high-quality experiences provided by computer “shape” environments for students as they learn concepts described in the Geometry Standard. (Learn more)
Format: lesson plan (grade 2 Mathematics)
Provided by: National Council of Teachers of Mathematics