Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
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...
Lesson Plan
EngageNY

Construct and Apply a Sequence of Rigid Motions

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Rotation Symmetry

For Teachers 6th - 8th
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.
Unit Plan
Mathematics Vision Project

Transformations and Symmetry

For Teachers 9th - 10th Standards
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...
Worksheet
Curated OER

Symmetry in Nature

For Students 3rd - 5th
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.
Worksheet
Curated OER

Symmetry: Practice

For Students 6th - 7th
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...
Lesson Plan
Curated OER

Translations, Reflections, and Rotations

For Teachers 9th - 12th
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.
Lesson Plan
Curated OER

Spiral Symmetry

For Teachers 9th - 10th
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...
Worksheet
Curated OER

Geometry Practice Exam

For Students 6th - 12th
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.
Handout
2
2
Centre for Innovation in Mamatics Teaching

Area, Perimeter and Volume

For Students 5th - 8th Standards
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...
Lesson Plan
Curated OER

Equilateral Triangle Symmetries Closure Activity

For Teachers Higher Ed
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.
Lesson Plan
Curated OER

Reflections of Symmetry

For Teachers 2nd - 4th
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.
Lesson Plan
Pennsylvania Department of Education

Rotational Symmetry of Polygons and Other Figures

For Teachers 5th - 8th
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...
Printables
1
1
Houghton Mifflin Harcourt

Unit 5 Math Vocabulary Cards (Grade 6)

For Students 6th Standards
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...
Printables
1
1
Houghton Mifflin Harcourt

Unit 6 Math Vocabulary Cards (Grade 5)

For Students 5th Standards
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...
Printables
1
1
Houghton Mifflin Harcourt

Unit 8 Math Vocabulary Cards (Grade 5)

For Students 5th Standards
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...
Worksheet
Curated OER

Symmetry Worksheet IV

For Students 8th - 10th
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...
Unit Plan
1
1
EngageNY

Congruence, Proof, and Constructions

For Teachers 8th - 10th Standards
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...
Worksheet
Curated OER

Caley Table for the Symmetries of a Square

For Students 8th - 11th
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.
Lesson Plan
Curated OER

Symmetry in Kaleidoscope Designs

For Teachers 9th - 11th
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.
Learning
School Mathematics Project

Resource Sheets

For Students 4th - 8th Standards
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,...
Lesson Plan
Curated OER

Geometric Transformations

For Teachers 5th - 12th
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.
Worksheet
Curated OER

Reflections

For Students 10th
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...
Lesson Plan
Curated OER

Introduction to Fractals: Infinity, Self-Similarity and Recursion.

For Teachers 9th - 12th
This lesson introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and

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