Virginia Department of Education
Constructions
Pupils learn the steps for basic constructions using a straightedge, a compass, and a pencil. Pairs develop the skills to copy a segment and an angle, bisect a segment and an angle, and construct parallel and perpendicular lines.
Curated OER
The Geometry Of An Ox Skin
High schoolers investigate the concepts of area and perimeter. The lesson uses a legend to create a context for the proposed word problem. They use the skill of estimation in order to create an ox skin that is found in the story.
EngageNY
Construct an Equilateral Triangle (part 1)
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
EngageNY
Construct an Equilateral Triangle (part 2)
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...
EngageNY
Construct a Perpendicular Bisector
How hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...
Curated OER
Basic Geometry ... A Pathway to Angles
Help 9th graders identify lines, points, rays, and planes in geometry. They practice identifying, measuring, and drawing angles of different degrees. This is a fundamental lesson to help students learn the building blocks of geometry.
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
Marshmallow Geometry
In this three-dimensional shapes geometry lesson, learners identify geometric solids and name their properties. They define "face," "edge," and "vertex," and construct geometric solids using marshmallows as vertices and toothpicks as edges.
Curated OER
Geometry and Shapes
High schoolers discuss and identify polygons and lines. In this geometry lesson, learners review liner, square and cubic units so they can incorporate it into the lesson on measurement and creating packing that are cost effective.
Alabama Learning Exchange
Origami Geometry
Origami is an excellent way to combine Japanese culture, art, and geometric shapes into one engaging instructional activity! Scholars begin by listening to the story Sadako and the Thousand Paper Cranes and learn the origin of...
Curated OER
Garden Variety Geometry
A home improvement plan can help adult learners preparation for the GED exam. They review vocabulary, prepare diagrams, complete a worksheet, calculate perimeters and analyze how to approach a story problem. They identify many geometry...
EngageNY
Characterize Points on a Perpendicular Bisector
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...
EngageNY
Dividing the King’s Foot into 12 Equal Pieces
Apply, apply, apply! A measurement lesson applies a number of concepts to help learn a new construction. Scholars learn to divide a segment into n equal parts using a method that uses the Side Splitter Theorem and a method that...
EngageNY
Properties of Similarity Transformations
You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
Curated OER
Get in Shape with Geometry
Using geoboards, computer programs, and hands-on manipulative materials, elementary schoolers engage in a study of two and three-dimensional geometric shapes. This lesson is chock full of good teaching ideas on the subject, and the...
Curated OER
Constructions, Sketches, and Drawings
High schoolers explore the concept of constructions, sketches, and drawings. In this constructions, sketches, and drawings activity, students discuss the differences between constructions, sketches, and drawings through teacher led...
Curated OER
Geometry and Spatial Sense
Students investigate geometric shapes in 2 and 3 dimensions. In this geometry lesson, students create a model chocolate factory working in groups and using an actual cake. Students take a quiz about measurement equations...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Illustrative Mathematics
Shortest Line Segment from a Point P to a Line L
One of the hardest skills for many young geometers to grasp is to move beyond just declaring obvious things true, and really returning to fundamental principles for proof. This brief exercise stretches those proving muscles as the...
Curated OER
Tessellations: Geometry and Symmetry
Young scholars explore the concept of tessellations. In this tessellations lesson, students use an applet to construct tessellations. Young scholars use regular polygons to construct tessellations. Students find patterns and symmetry in...
Curated OER
Angles - Unlocking Geometry
Students investigate the concept of angles and how they are used in geometry. They construct polygons using various types of angles and then classify them according to their physical properties. Students use a computer program in order...
Curated OER
Relating Algebra to Geometry
Learners investigate the connection that exists between Algebra and Geometry. They classify two and three-dimensional figures. Pupils use formulas to solve problems in geometry and use appropriate measuring devices in the right contexts.
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...