Lesson Plan
Pennsylvania Department of Education

Introducing the Coordinate Plane

For Teachers 5th
Fifth graders practice using estimation. In this estimation lesson, 5th graders add, subtract, multiple, and divide using whole numbers, fractions, and decimals. Students decide upon instances when estimation is more appropriate than...
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Diagonal Lengths

For Teachers 6th - 8th
Middle schoolers collect, organize, and analyze data while studying the Pythagorean Theorem, measure length and width of several rectangular objects, and compare the measured results to the calculated results.
Lesson Plan
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Translations

For Teachers 9th - 12th
Students explore the concept of translations. In this translations lesson, students discuss similarities and differences between images and pre-images. Students apply translations to coordinates of figures. Students use patty paper to...
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Circle, Secants

For Teachers 9th - 11th
Learners identify the secant segment of a circle. In this geometry lesson, students investigate secant lines formed outside the circle. They use Cabri software to create drawings and explore circles and secants.
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The Mandelbrot Set

For Teachers 9th - 12th
Young scholars are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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An Introduction to Quadrilaterals

For Teachers 6th - 10th
Pupils explore different types of quadrilaterals. Students define the terminology used with quadrilaterals. They create particular quadrilaterals based on specific characteristics of the quadrilaterals using an online tool.
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Inscribed Right Triangles

For Teachers 7th - 9th
Students calculate the measurements of the inscribed angles of a triangle. In this geometry lesson, students relate the hypotenuse of a right triangle and the diameter of a circle to each other. They calculate the diameter of a circle as...
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Visual Patterns in Tessellations

For Teachers 3rd - 12th
Young scholars explore tessellations as well as various types of polygon. Students examine tessellating patterns in the world around them. Young scholars examine tessellations by creating their own tessellations and completing the...
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Sled Kite

For Teachers K - 8th
Students make and fly a sled kite out of plastic garbage bags, dowel rods, and more. In this kite lesson plan, students plan the kite to have symmetry and make adjustments as they test it.
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Inscribed Quadrilaterals and Parallelograms

For Teachers 9th - 10th Standards
Students differentiate between inscribed quadrilaterals and parallelograms. In this geometry lesson, students identify the shaped of the polygons when it is inscribed inside of a circle. They calculate the missing angles of the inscribed...
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Fractals and the Chaos Game

For Teachers 9th - 12th
Students explore the concept of fractals. In this fractals lesson, students play the "Chaos Game" via an applet. Students place dots on the screen to recognize that they have created Sierpinski's Triangle.
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Pythagorean Theorem

For Teachers All
Pupils explore how the Pythagorean Theorem works and how to apply it.
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Pythagorean Theorem

For Teachers 9th - 12th
High schoolers are introduced to the Pythagorean theorem. They use three different activities that give students the opportuntiy to observe triangles, and use the Pythagorean theorem and practice different ways of determining areas of...
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Surface Area and Volume

For Teachers 6th - 8th
Middle schoolers are introduced to the notion of surface area and volume. Students review surface area and volume by finding the area of a two-dimensional shape. They practice using the computer to create different surface area shapes.
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Fractals

For Teachers 10th - Higher Ed
Students explore the concept of fractals. In this fractal lesson, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
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Investigating Area and Perimeter of Polygons.

For Teachers 8th - 10th
Student sinvestigate the area and perimeter of polygons. They differentiate between similar and congruent polygons.. They identify the ratio and proportions of the sides and angles of polygons.
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The Mandelbrot Set

For Teachers 10th - 12th
Learners explore the concept of Mandelbrot sets and Julia sets. For this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and Mandelbrot...
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It's a 3-D World Out There!

For Teachers 2nd - 4th
Students construct polygons. They identify attributes of three-dimensional shapes. Students name common three-dimensional shapes. They draw three-dimensional shapes, and sort three-dimensional shapes. Students use K'NEX materials sets to...
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Introduction to Fractals: Infinity, Self-Similarity and Recursion

For Teachers 9th - 12th
High schoolers 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...
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Geometry Flip Book

For Teachers 3rd - 5th
Young scholars investigate the concepts of geometry that can be grouped into a flip book that can be used for teaching and review purposes. They define the differences between two and three dimensional figures. Also polygons are reviewed...
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Pysanky: Not Just a Pretty Egg

For Teachers K - 6th
Students examine the art of Pysanky. Using the Internet, they identify the cultural similarities and differences between the United States and the Ukraine. Using Pysanky's art, they discover the symbolism he used in his artwork and...
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NON-EUCLIDEAN GEOMETRY.

For Teachers 8th - 9th
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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Lines, Segments, and Rays

For Teachers 5th
Fifth graders use their arm, toothpicks, and marshmallows to create lines, segments, and rays. In this lines, segments, and rays lesson plan, 5th graders learn how these appear on a plane.
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Triangle Side Lengths and Angles Measures

For Teachers 9th - 10th
Students identify missing sides and angles. In this geometry lesson, students use triangular theorems to identify the missing sides. They use the Pythagorean Theorem to find the different ratios of each side.

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