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
Willow Tree

Transformations

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

Geometry and Symmetry

For Teachers 4th - 6th
Pupils examine tessellations and their geometric properties. The instructional activity and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.
Lesson Plan
Curated OER

Geometry: Tessellations

For Teachers 2nd - 3rd
Students create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.
Lesson Plan
Curated OER

Perfectly Puzzling Pentominoes

For Teachers 2nd
Second graders utilize manipulatives (pentominoes) to demonstrate knowledge of: lines of symmetry, slides, reflections (flips), rotations (turns), area, and perimeter. This lesson gives students a meaningful way to practice these...
Lesson Plan
Curated OER

The Geometry of Paul Goble's Artwork

For Teachers 4th - 8th
Students examine the concepts of geometry used by Paul Goble in his book Adopted By The Eagles. After analyzing Mr. Goble's work they create an original piece featuring symmetry, pattern, repetition, and other principles of geometry....
Handout
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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
Virginia Department of Education

Transformations

For Teachers 9th - 11th Standards
The coordinate plane is a popular place! Identify rotations, reflections, and dilations on the coordinate plane. Pupils work in small groups to match transformations of a figure with the description of the transformation....
Lesson Plan
Curated OER

Transformations Using the Geometer's Sketchpad

For Teachers 8th - 9th
Young scholars discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
Lesson Plan
Curated OER

Symmetry: Theory, Reality and Art!

For Teachers 9th - 10th
Students explore the concept of geometric symmetry. In this geometric symmetry lesson, students walk around their school and take pictures of objects that demonstrate symmetry. Students use Microsoft Paint to draw the lines of symmetry...
Lesson Plan
Curated OER

Transformations

For Teachers 9th - 11th
Several practice exercises suitable for any geometry class working on transformation, symmetry, and tessellation -- especially visual representations of image translation, rotation, and reflection, symmetry, tessellations and tangrams --...
Lesson Plan
Curated OER

Punch Patterns

For Teachers 5th
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
Lesson Plan
Curated OER

Geometry Journal: Isosceles Triangles

For Teachers 10th - 12th
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
Lesson Plan
Curated OER

Geometry History Lesson

For Teachers 10th
Tenth graders investigate the early history of geometry. In this geometry activity, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing...
Lesson Plan
Curated OER

Drawing Lines of Symmetry

For Teachers 3rd
Third graders explore the concept of symmetry using geometric shapes, capital letters and various other shapes. They fold shapes to show symmetry, draw lines of symmetry and create symmetrical designs.
Worksheet
Curated OER

Math Lab

For Students 10th
In this polygons and angles worksheet, 10th graders complete 5 different questions related to polygons and angles, in addition to symmetry and transformations. First, they define polygon and how they are named. Then, students define...
Lesson Plan
Curated OER

Symmetries of Rectangles

For Teachers 9th - 10th Standards
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Worksheet
Curated OER

Polynominoes

For Students 10th
In this polynominoes worksheet, 10th graders solve 9 different problems relating to various types of polynominoes, such as triominoes and tetrominoes. First, they determine how many different types of triominoes they can locate and draw...
Lesson Plan
Curated OER

Transformation

For Teachers 3rd
Third graders investigate symmetry by reflecting objects in different angles. In this geometrical transformation lesson, 3rd graders define the terms translation, rotation and reflection in order to physically turn geometric...
Lesson Plan
Curated OER

Seeing Double

For Teachers 6th - 8th
Learners develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
Lesson Plan
Curated OER

Geo Jammin' By DeSign - Day 3, Lesson 15: The Quiltmaker's Gift

For Teachers 2nd - 3rd
Learners listen to a read aloud of The Quiltmaker's Gift by Jeff Brumbeau finding examples of symmetry in the illustrations in the book.
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
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
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Curated OER

Reflecting a Rectangle Over a Diagonal

For Teachers 7th - 9th Standards
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.