Curated OER
Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
Curated OER
Transformations and Translations in Geometry
In this transformations and translations in Geometry worksheet, learners use geometric shapes and grids to translate six transformations in each of two activities.
Teach Engineering
Let's Take a Spin: One-Axis Rotation
Investigate the effect of one-axis rotations on geometric figures. Scholars learn to use snap cubes and the right-hand rule to draw figures after rotations about the x-, y-, or z-axes. They try their hands at examples created by the...
EngageNY
Definition of Rotation and Basic Properties
Examine the process of rotating images to visualize effects of changes to them. The fifth lesson plan of 18 prompts pupils to rotate different images to various degrees of rotation. It pays special attention to rotations in multiples of...
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
Virginia Department of Education
Translation and Reflection
Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...
Virginia Department of Education
Rotation
Rotate this resource into your lesson plans. Scholars rotate polygons in the coordinate plane by multiples of 90 degrees. They then compare the original and new figures to develop conjectures about coordinate points after rotations.
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
Curated OER
Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
Curated OER
Reflection, Translation, Rotation
In this reflection, translation and rotation worksheet, students read instructions, re-drawing a letter to the given specifications. Answers are included on page 2.
Curated OER
Transformations and Matrices
There are four activities in this extensive instructional activity covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use...
Willow Tree
Transformations
How does something go from here to there? Describe it with a transformation. Young mathematicians learn how to translate, reflect, rotate, and dilate an image.
PBS
Using Symmetry to Create Corporate Logos
Young mathematicians investigate the use of symmetry in graphic design. After first learning about reflection, translational, and rotational symmetry, children use this new knowledge to identify symmetry in letters of the alphabet and...
Curated OER
Flips, Sides and Turns: Exploring Transformations
Students use an online dictionaries to define key geometric terms. They explore several websites to help them differentiate the terms reflections, translations and rotations as they apply to geometry and then complete an assessment...
Curated OER
Reflection, Translation and Rotation
In this reflection, translation and rotation worksheet, students determine which of these things have been done to s set of figures. A reference web site is given for additional activities.
Curated OER
Point Comparisons
Young geometers investigate two-dimensional figures using coordinate grids. They identify polygons and draw examples of their reflection, rotation, and translation on a coordinate grid. And they complete a worksheet practicing examples...
CPM
Rigid Transformations
In this rigid transformation worksheet, students follow directions to translate, reflect or rotate a figure in a coordinate plane. Examples and explanations are provided at the beginning of the document. This two-page worksheet contains...
Curated OER
Fun With Transformations
Demonstrate and discuss the three types of transformations: rotation, reflection, and translation. Participate in a game which helps to reinforce and practice what they learned. Groups work collaboratively to complete the game.
Bowland
DanceStar
Express dance moves mathematically. Scholars dissect dance routines and express them using mathematical notation, such as translations and rotations. They use video clips to investigate seven different dance genres.
Curated OER
Archeologist Frieze Patterns
Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, young scholars explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Curated OER
Transformations
For any study of upper-level geometry, this presentation could be of good use. It defines three important concepts: transformation, reflection, and rotation. Although brief, this presentation could easily be used in tandem with problems...
Curated OER
Lesson #158 Translation and Rotation of Axes
Students practice with the discriminant. In this translation and rotation lesson plan students view a dissectible cone and discuss the discriminant for the second detree equation. They follow the examples from the instructor regarding...
Curated OER
Reflection, Translation and Rotation
In this rotation, reflection and translation learning exercise, students look at shapes on a grid and determine what happens to the shape, in order. A reference web site is given for additional activities.