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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...
EngageNY
Construct and Apply a Sequence of Rigid Motions
Breaking the rules is one thing, proving it is another! Learners expand on their previous understanding of congruence and apply a mathematical definition to transformations. They perform and identify a sequence of transformations and use...
Curated OER
Rotation Symmetry
Students investigate the concept of symmetry by using various examples and performing independent practice with scaffolding provided by the teacher. They review reflection symmetry and cover the new rotation symmetry using manipuatives.
Mathematics Vision Project
Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
Curated OER
Symmetry in Nature
In this symmetry worksheet, learners put organisms into categories of having line symmetry or rotational symmetry and answer questions about them. Students put 8 organisms into the chart and answer 3 questions.
Curated OER
Symmetry: Practice
In this symmetry worksheet, students trace the figures, turn them, and then write yes or no to tell if it has rotational symmetry. Students tell how many degrees they turned it to determine the symmetry. Students repeat the process for...
Curated OER
Translations, Reflections, and Rotations
Students are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.
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
Geometry Practice Exam
In this reflections and rotations instructional activity, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.
Centre for Innovation in Mamatics Teaching
Area, Perimeter and Volume
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
Curated OER
Equilateral Triangle Symmetries Closure Activity
Students explore the symmetries of an equilateral triangle. For this lesson on symmetry, students determine the composition of given equilateral triangles using both rotational and reflectional symmetries.
Curated OER
Reflections of Symmetry
Students use video and the Internet to identify examples of bilateral and radial symmetry in the world around them. They create symmetrical reflection designs using pattern blocks and paper.
Pennsylvania Department of Education
Rotational Symmetry of Polygons and Other Figures
Students explore geometry by participating in a shape rotation experiment. In this symmetry lesson, students identify the term symmetry and a list of other geometry vocabulary. Students analyze shapes as they are turned 90 degrees and...
Houghton Mifflin Harcourt
Unit 5 Math Vocabulary Cards (Grade 6)
Acute angle, line of symmetry, and vertex are a few terms you'll find in a set of 90 flashcards designed to reinforce math vocabulary. Included in the set are two types of cards; a word card printed in bold font, and a...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 5)
Acute angles, nets, and vertices are only a few terms that a set of flash cards includes. Among the 108 cards, two types are available; word cards printed in bold-faced lettering, and corresponding definition cards equipped with an...
Houghton Mifflin Harcourt
Unit 8 Math Vocabulary Cards (Grade 5)
Reinforce math vocabulary with a set of flash cards. With a total of forty-eight cards, each are printed in bold font, and include definition cards that offer a labeled example. Terms include absolute value, ordered...
Curated OER
Symmetry Worksheet IV
Challenge your class to identify, label, and draw a wide range of symmetries with this activity. In addition, learners name symmetrical shapes and compare them to alphabet letters. This activity asks class members to work with lines of...
EngageNY
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons...
Curated OER
Caley Table for the Symmetries of a Square
Middle and high schoolers complete Caley's table to indicate rotating a square 90, 180, and 270 degrees. They also reflect a square across the vertical and horizontal line. This one-page activity contains eight movements.
Curated OER
Symmetry in Kaleidoscope Designs
Students define reflection, rotation and symmetry. In this symmetry lesson plan, students move the graph around the coordinate plane and identify the line of symmetry. They identify the different designs of a kaleidoscope.
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Curated OER
Geometric Transformations
Learners examine images and preimages of a mapping and identify isometry. They view images by M.C. Escher, observe teacher demonstrations, and create a translation image, a rotation image, and a dilation.
Curated OER
Reflections
In this reflections worksheet, 10th graders solve and complete 34 different problems that include determining various reflections. First, they trace the figure and draw its reflection in each line. Then, 10th graders use the diagram...
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This lesson introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and