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Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
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Property Lists for Quadrilaterals
Students establish classifications of shapes by various properties (angles, sides, etc.). They introduce the important properties of common shapes. Students develop an awareness of the wide variety of ways the 2-D shapes can be alike.
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Pythagorean Theorem
In this measurement lesson, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.
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Tessellations: Geometry and Symmetry
Students explore the concept of tessellations. In this tessellations lesson plan, students use an applet to construct tessellations. Students use regular polygons to construct tessellations. Students find patterns and symmetry in their...
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Coordinate Plane
Young scholars use computer applets to demonstrate three dimensional coordinate planes. In this coordinate planes lesson plan, students play a coordinate game and a maze game.
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
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Intro to Geometry
Seventh graders identify a polygon and classify them using congruent sides and number of edges and vertices. Students transform two dimensional objects into three dimensional objects.
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No-Three-In-A-Line Again
Students interpret information and results in context while using words and symbols to generalize patterns. They use symmetry and angle properties of polygons to solve practical problems and identifying invariant properties under...
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Tantalizing Tessellations Lesson III: Creating a Slide Translation
Learners watch and discuss an M. C. Escher video, use what they have learned to explain and apply their knowledge of tessellations in order to create a slide translation, present their findings in a 12" x 18" poster, and explore...
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Visual Structures of Postulates and Axioms in Algebraic Operations
Learners investigate Axioms and Postulates. In this proof and linear transformation of equations lesson, students explore axioms and postulates to solve linear equations. Learners construct game cards to analyze the linear transformation...
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Figure This
Second graders identify congruent figures and match shapes using transformation. They work in groups, utilizing a worksheet imbedded in this plan to gain practice identifying congruent shapes.
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Modeling With Circular Functions
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
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Does the falling tree make a sound if no one if there to hear it? (or communication via encryption)
Students explore encryption. They discuss the importance of cryptography in our daily lives. Students use games and cryptography to discover transformational geometry and modulo systems. They design their own encryption puzzles and...
Curated OER
Worksheet #12 - Logarithms
In this worksheet, students convert exponential expressions into an equivalent logarithm and visa versa. They find the exact value of logarithmic expressions and determine the domain of a given function. Finally, students use...
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Guess My Piece -working with Legos
Learners participate in guessing their partners' hidden Lego pieces from their verbal clues. They work in partners to accomplish their goals. They are meeting a variety of math standards by completing this lesson.
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Linear Equations
Ninth graders solve linear equations. In this Algebra I lesson, 9th graders investigate the properties of equations (Reflexive, Symmetric, Transitive, Substitution, and Transformation Properties) and use these properties to solve...
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Water Power
Students observe a model of a waterwheel to investigate the transformations of energy involved in turning the blades of a hydro-turbine into work. They work as engineers to create a model for a new waterwheel while considering resources,...
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Simple Thermodynamics of Transportation
Students watch videos about various modes of transportation, they examine the energy transformations that occur in each, and they be introduced to the laws of thermodynamics.
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Reflections
Tenth graders perform reflections on different geometric shapes. In this geometry worksheet,students define the concept of geometric reflections and find the coordinates of the reflection on a coordinate grid.
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Plate Tectonics: First Grade Lesson Plans and Activities
A set of first grade geology lessons focuses on plate tectonics and movement of plate boundaries. During the pre-lab, learners experience three types of plate movement through a kinesthetic demonstration. The lab...
Geophysical Institute
Latitude and Longitude with Google Earth
Travel the world from the comfort of your classroom with a lesson that features Google Earth. High schoolers follow a series of steps to locate places all over the earth with sets of coordinates. Additionally, they measure the distance...
Space Awareness
Navigation in the Ancient Mediterranean and Beyond
Ancient texts, like Homer's Odyssey, mentions navigating ships by observing constellations. Pupils learn about the link between history and astronomy as they relate to navigation in the Bronze Age. Scholars complete two hands-on...
Curated OER
Linear Systems: Identifying Pivots and Multipliers
In this identifying pivots worksheet, students use algebra to find equivalent systems of equations. This four-page worksheet contains examples, explanations and approximately ten problems.
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Linear Systems: Identifying Pivots and Multipliers
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
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