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Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
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Transformational Geometry Using the Geometer's Sketchpad
Young scholars complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a...
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Triangle Wars
Students explore geometry by participating in a class card game. In this triangle lesson, students utilize playing cards with shapes on them which they group up and discard, similar to "Old Maid." Students complete a worksheet and answer...
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Congruent Trianges - Is This Enough Information?
Seventh graders determine whether two triangles are congruent and provide an explanation to why they are not. They apply concepts of measurement of angles and collect evidence of congruent angles in the world.
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Congruent Triangles - Is This Enough Information?
Seventh graders examine congruence postulates and apply knowledge to triangles in the world around them.
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Transformations
In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
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Angle Exploration and Classification
Students compare and contrast angles and identify them as acute, obtuse, right, or straight angles. They create rays and angles using uncooked spaghetti, read and discuss key vocabulary terms, and complete a variety of geometry worksheets.
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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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Tile Patterns II: Hexagons
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
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Countdown Challenge: Tangrams
In this tangram worksheet, students find the area of each tangram shape. Afterwards, they name each piece and find the area of combined figures. This one-page worksheet contains approximately 25 problems.
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Getting It Right!
Students construct right triangles, measuring the sides and recording the measurements in spreadsheets. They analyze their measurements for patterns and research the Internet for information on Pythagoras.
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Up For Change?
Students explore similar objects. They participate in a series of hands-on, multimedia and online activities to examine how the edge length affects the angle measures, perimeters and areas of similar regular polygons. Students find the...
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Algebraic Processes And Its Connection To Geometry
Students investigate the concept of polygons using a variety of activities. They explore the vocabulary of polygons by constructing a graphic organizer. Then students categorize the characteristics of several polygons and contribute the...
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The X-33 and the X-38
Students explore the relationships among the lengths, areas, and volumes of similar solids. They also discover what effect doubling the dimensions of a figure has on the resulting area.
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Archeologist Frieze Patterns
Learners construct frieze patterns using translations and rotations. They will discuss how frieze patterns are similar to jigsaw puzzles and use Cabri Jr. to build a triangle frieze pattern using rotations, translations, and reflections.
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Paper Towel Structure
Students investigate technology and its purpose in the workplace. In this geometry lesson, students design and build a paper towel structure to investigate motion and forces. They are given a restricted weight and asked to build their...
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Slope Right Up
Students use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
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Snowflake Curve
Middle schoolers develop an appreciation for complex structures in nature. They observe patterns in nature in relationship to the Real World. Students use observation skills to assist in problem solving. They show comprehension of the...
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Dilations of 2 and 3 dimentional figures and their effect on area, surface area, and volume.
Seventh graders investigate the area and volume of 2D and 3D figures. In this geometry lesson, 7th graders create a storyboard explaining their knowledge of 2D and 3D shapes. They analyze their data and interpret their results.
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Properties of Fractals
Pupils build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial and...
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Ratios for Area and Volume
In this ratios for area and volume worksheet, students solve problems where they find the ratios for problems of shapes dealing with area and volume. Students complete 4 problems.
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Tangrams
Students construct tangram pieces. Then they make observations and explore patterns with the pieces.
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...