Harvard University
The Nouns of Geometry
Socratic questioning to teach Euclidean geometry? "The Nouns of Geometry," followed by "The Verbs of Geometry," and the misfit, "A Beginner's Story - The Equilateral Triangle" are designed to encourage learners to explore various topics...
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Miami Metrozoo & Mathematics
Twelfth graders use Algebra and Geometry to solve a real life problem at the Zoo.
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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...
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NON-EUCLIDEAN GEOMETRY.
Students study relationships between angles, side lengths, perimeters, areas and volumes of similar objects. In this lesson students also create and critique inductive and deductive arguments concerning congruency, similarity and the...
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Geometry and Islam: Religious Beliefs Made Visual
Students examine the importance of geometric patterns in Muslim countries. Using cutout patterns, they replicate the designs seen in Islam and color them. They put their completed designs on a bulletin board to show to the school.
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The Centroid : Balancing the History
Students discover the centroid of a triangle based on Euclid's constructions. They explore locus of points of a median. They understand properties of the segments that form the median and areas of the smaller sections formed by the median.
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Duplicating Segments and Angles
Tenth graders investigate geometric construction. In this geometry lesson, 10th graders explore the procedure for copying an angle and a segment. The lesson emphasizes the difference between a sketch, a drawing, and a construction and...
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Preparation and Transition to Two-Column Proofs
Students investigate proofs used to solve geometric problems. For this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
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Investigating Area Using Tangrams
Tenth graders connect the history of geometry to problem solving. For this geometry lesson, 10th graders investigate polygons through hands on manipulatives and solve problems relating to parallelograms and triangles. They calculate the...
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The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry instructional activity, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for...
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Regular Polyhedra
Tenth graders investigate the history of geometry and its different shapes. In this geometry lesson, 10th graders practice seeing three dimensional shapes and explain why there are only five polyhedra. They relate all the new materials...
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Exploring Special Lines
Students compare and order numbers. In this geometry instructional activity, students write equations for inequalities. They differentiate and apply concepts of triangular properties to solve problems.
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Why Study Fractals?
Students explore the concept of fractals. In this fractals lesson, students use the website to research where fractals occur in nature. Students research what fractals are and how fractals are used to solve real world problems.
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The Flat Earth
Students differentiate between different planes. In this geometry lesson, students differentiate between a plane and a sphere. They discuss the Great Circle, Geodesic and Lune as it relates to the earth.
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How Many Regular Polyhedrons Are There In This or Any Universe?
Students examine the idea of "regularity" as it pertains to geometry. In this geometry lesson students complete several assignments that are part of trihedral angles and regular polyhedrons.
EngageNY
Thales’ Theorem
Isn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...
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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...
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Base Angles of Isosceles Triangles
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...
Curated OER
Geometric Figures
Young scholars compare, classify and calculate the area of geometric figures such as rectangles, squares, circles and triangles.
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Calculating Areas for the Caged Animals At Miami Metrozoo
Seventh graders calculate the area of certain cages at the Miami Metrozoo after observing a teacher demonstration.
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Calculating the shortest distance between two points
Eighth graders find the length of the third side of a right triangle.
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Graphing the Daily Revenue of Miami Seaquarium
Seventh graders compile a table of the revenues of the 8 eateries (a combined total), Main Gate admissions, and the Gift Shop.
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Arc of Ball To Make Basket
Pupils examine the mathematical relationship in scoring a basket. They observe the arc of the ball as it travels to the basket from different points on the floor.
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Introduction to Calculus
Twelfth graders discuss attitude necessary to be successful in calculus. In this calculus lesson plan, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom. This...