Curated OER
Composition of Reflections
Students perform reflections and translations of polygons. In this geometry lesson, students perform reflection in two parallel lines. They use Cabri to observe the transformation and rotations of each shape.
Curated OER
Keeping in Shape
Third graders describe patterns in terms of reflection and rotation symmetry, and translations. They design and make a pattern which involves translation, reflection, or rotation. They demonstrate why a given tessellation covers the...
Curated OER
Geometric Collages
Fourth graders investigate the concept of geometric patterning. They create their own patterns with a few basic requirements. The patterns must illustrate the concepts of flipping, 90 and 180 degree rotations. The collages also consist...
NTTI
Transform Your Geometry into a Work of Art
Mathematicians utilize artwork to help illustrate the major ideas of transformations and tessellations. They visually identify transformations including reflections, rotations, and translations. They discuss how artists have used...
EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
Curated OER
Transformations
In this transformations learning exercise, 10th graders identify and complete 10 different problems that include various types of transformations. First, they label each figure with the correct term listed on the top. Students also...
Curated OER
Transformations
For this geometry worksheet students rotate, reflect, and translate geometric shapes. The four page worksheet contains seventeen problems Solutions are not provided.
Curated OER
Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
Curated OER
Spiral Symmetry
Taking the notion of symmetry to the next level, this looks at combining rotation and translation symmetry to build spiral symmetry in three dimensions. Using the Zome modeling system and an instructor’s guidance, geometers try to build...
Curated OER
Transformation of Alphabet Letters
In this transformation of alphabet letters learning exercise, students choose whether three alphabet letters have been reflected, rotated or translated.
Curated OER
Identifying Transformations
In this identifying transformations activity, 3rd graders look at three figures and choose reflected, rotated or translated to indicate how it has been transformed.
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Charleston School District
Review Unit 2: Congruence and Similarity
Review for the test with a comprehensive list of terms and concepts for the unit on congruence and similarity. It divides divides the sections in the order of the lessons presented during the unit.
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
Charleston School District
Transformation Basics
Transformations are more than the process in which sports cars become fighting robots. Listed in terms of which transformations give congruent or similar figures, several resources provide definitions and examples of the four basic...
Mathematics Assessment Project
Representing and Combining Transformations
Transform your learners into master geometers with an activity that asks them to first complete an assessment task drawing the result after transformation of a given shape in the coordinate plane. They then use cards to represent...
EngageNY
Mid-Module Assessment Task - Geometry (Module 1)
How do you prepare class members for the analytical thinking they will need in the real world? An assessment requires the higher order thinking they need to be successful. The module focuses on the concept of rigid transformations...
Virginia Department of Education
Transformations
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
Curated OER
Transformational Geometry Using the Geometer's Sketchpad
Young scholars complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a...
Curated OER
Transformations-Shapes on the Move
Students examine transformations. In this math activity, students view and describe flips, slides, and turns. Students practice making transformations with shapes.
Curated OER
Logo Licenses
Third graders find all the lines of reflection symmetry in a given shape, identify the order of rotational symmetry of a given shape. They create designs which have reflection symmetry, rotational symmetry (orders 2, 3, 4, 6) and...
Curated OER
Transformations
Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...
Curated OER
Exploring and Creating Tessellations
Students use translations, rotations, and reflections to create tessellations. They explore and construct several different types of tessellations including pure/semi-pure and non-regular polygon and "Escher-like" tessellations .
Curated OER
Tessellating Art
Fourth graders create artwork showing their own unique tessellating shapes. They apply the symmetries of a regular polygon and describe the reflection or rotational symmetry of a figure or object. They share their art work with the class.