EngageNY
Dilations as Transformations of the Plane
Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...
EngageNY
The Volume Formula of a Pyramid and Cone
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...
EngageNY
Solve for Unknown Angles—Angles and Lines at a Point
How do you solve for an unknown angle? For this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
EngageNY
Rotations
Searching for a detailed lesson to assist in describing rotations while keeping the class attentive? Individuals manipulate rotations in this application-based lesson depending on each parameter. They construct models depending on the...
EngageNY
Dilations from Different Centers
Can you follow a composition of transformations, or better yet construct them? Young mathematicians analyze the composition of dilations, examining both the scale factor and centers of dilations. They discover relationships for both...
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
EngageNY
Tangent Segments
What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...
Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
West Contra Costa Unified School District
Arcs and Angles
Noah didn't construct this kind of arc. High school scholars first explore how angles can be formed in circles. They then learn relationships between angles and arcs by conducting an exploratory activity where they position and draw arcs...
Texas Instruments
Copying an Angle
High schoolers will investigate geometric construction in this geometry lesson. Your pupils can explore the basic construction of copying an angle, using the constructions tools of Cabri Jr.
Curated OER
100 Patch Geometric Quilts
Students identify geometric patterns in quilts. In this geometry instructional activity, students view various types of quilts and identify the geometric shapes. Students construct one hundred patch paper quilts using geometric shapes.
Curated OER
Quadrilaterals
Students construct a variety of four-sided figures using a K'NEX Geometry Set. They view and discuss pictures of shapes, then in small groups they construct as many four-sided shapes as possible using the K'NEX Rods and Connectors. As a...
Curated OER
Angle Exploration and Classification
Students compare and contrast angles and identify them as acute, obtuse, right, or straight angles. They create rays and angles using uncooked spaghetti, read and discuss key vocabulary terms, and complete a variety of geometry worksheets.
Curated OER
Symmetry
Learners explore symmetry. In this geometry lesson, student identify and define bilateral symmetry, radial symmetry, pentagonal symmetry, hexagonal symmetry, and cubic symmetry. Students construct examples of these types of symmetry and...
Curated OER
Seeing Solar Storms in STEREO-I
In this geometric calculations of solar storms activity, students use a diagram indicating the location of 2 STEREO satellites, the earth and the sun to calculate the distance between a Coronal Mass Ejection and the Earth. They use...
Curated OER
Exploring Infinite Series through Baravelle Spirals
Students are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
Curated OER
Geometry Shapes
Young scholars create various geometric shapes with their younger grade "buddy partners." They identify and discuss various geometric shapes, and using gumdrops or marshmallows and toothpicks, construct different flat and...
Curated OER
Geometry In the Yard
Learners are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.
Curated OER
Geometry, Pi, and Ancient Civilizations
By working together, pairs of students will complete a Pi webquest. Using the internet, they examine the ways people in the Ancient Civilizations of Egypt, Babylonia and Greece used Pi. To end the lesson, they review the concepts of...
Curated OER
Discovering Math: Concepts in Geometry
Middle and high schoolers explore the concept of proving the Pythagorean Theorem. They research proofs of the Pythagorean Theorem. Pupils create posters of proofs, and research Greek mathematicians.
Mathematics Assessment Project
Hopewell Geometry
Right triangles from 2,000 years ago? Learners investigate different right triangles found in the earthworks of the Hopewell people, a Native American culture that populated the United States from 200BC to AD 500. Learners apply concepts...
Curated OER
Mathematics Within: Algebraic Processes and Its Connections to Geometry
Students analyze multiple strategies of multiplication: clustering, area model, breaking apart/decomposing, etc. They create their own strategies to approaching multiplication problems and share them with their classmates. Discussion...
Curated OER
Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
Curated OER
Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
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