Pennsylvania Department of Education
Alike and Different
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson plan, students make observations regarding properties of objects. Students classify object and build ideas about variables....
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Investigating the properties of a circle
Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
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Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
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Algebra I: A Draining Swimming Pool
Students analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.
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Cracks on the Walls
Young scholars observe the cracks in school walls and pavements. For this geometry lesson, students explore the factors to be considered before building a structure. They complete a graphing and calculation worksheet after the lesson.
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Tessellmaniacs
Seventh graders create 3 original tessellation using polygons. They slide, turn, rotate and glide their designs on the computer. They print their tessellation on a T-shirt and teach the 6th graders about tessellations.
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Tangram Geometry
Learners listen to a story involving Tangram pieces. Students use Tangram pieces to complete shapes using an outline of a design.
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Introduction to Fractals: Geometric Fractals
Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...
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Scaled Rubber Band Drawings
Students demonstrate the process of creating a scaled rubber band enlargement of a simple drawing. They observe and discuss a teacher-led demonstration, and create a scaled rubber band enlargement of simple drawings and their invention...
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Tantalizing Tessellations Lesson III: Creating a Slide Translation
Students explore tessellations and the artwork of M.C. Escher. They view and discuss a video about M.C. Escher, create a slide template out of cardboard, and create a poster with their tessellation pattern.
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How Do Car Engines Work?
Students perform an experiment which simulates what happens inside an internal combustion engine. They explain how the chemical reaction they witnessed is similar to what happens inside the car engine.
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Rep Tiles
Third graders use pattern blocks of one shape at a time to try to create a similar shape. They compare the perimeter of the new figure with the perimeter of the original shape and look for a pattern. Students use the pattern to predict...
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Data Analysis and Measurement: Ahead, Above the Clouds
Young scholars explore and discuss hurricanes, and examine how meteorologists, weather officers, and NASA researchers use measurement and data analysis to predict severe weather. They plot points on coordinate map, classify hurricanes...
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Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
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Calculating Total From Percents
Using this short review of finding a percentage of a number, learners can practice important skills. There are twelve questions on this worksheet.
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Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation
Students investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.
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Geometry Gymnastics
Students identify shapes and manipulate 2 and 3 dimensional objects. They view objects from different perspectives and review relative positions (near, far, between). They sing a shape song.
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
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Translations, Reflections, and Rotations
Students are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.
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Graphing Trigonometric Functions
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
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Using a spreadsheet and the Internet to learn about stock market performance
Students record the progress weekly of a business of their choice on the stock market, graph those results, research and report on current news and how it pertains to the companies recent performance.
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Functions Made Easy
Students explore concept of functions as relationships, as machines, as equations, and as graphs.
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Mathematical Models with Applications: The Sounds of Music
Students use an electronic data-collection device to model the sound produced by a guitar string. They identify the graph of a periodic situation and use the graph to determine the period and frequency of sound waves.
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The Grand Excursion GPS Map
Eighth graders investigate the uses of a global positioning system. They create waypoints and have to find them using the system. Students must review the geographical concepts of latitude and longitude. The media requirements of the...