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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