# ALEX Resources

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 Lesson Plans (14) Interactives/Games (1)

ALEX Lesson Plans
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Subject: Mathematics (7 - 8), or Technology Education (6 - 8)
Title: What Shape Are You?
Description: In this lesson, students will read "The Greedy Triangle" by Marilyn Burns, participate in class activities to classify two- and three-dimensional shapes, produce a powerpoint describing a chosen shape, and make a picture of themselves as one of the shapes.

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Subject: Mathematics (7 - 12), or Technology Education (9 - 12)
Title: Let’s Tessellate
Description: This lesson is a hands-on, technology-based project that will take place in the classroom and computer lab. Students will discover which regular polygons tessellate the plane by constructing polygonal tessellations. Students will also use a spreadsheet to calculate the area and perimeter of the polygons.

Thinkfinity Lesson Plans
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Subject: Mathematics
Title: Exploring the Isometric Drawing Tool
Description: In this lesson, one of a multi-part unit from Illuminations, students explore using an isometric drawing tool and gain practice and experience in manipulating drawings. They explore polyhedra using different representations and perspectives.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Covering the Plane with Rep-Tiles
Description: In this lesson, from Illuminations, students discover and explore a special kind of tiling of the plane. Rep-tiles are geometric figures such that n copies can fit together to form a larger, similar figure. Students experiment with various shapes and values of n. Spatial sense is encouraged by the need to visualize and perform transformations with the shapes involved.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Describing Reflections
Description: In this lesson, one of a multi-part unit from Illuminations, students learn how reflections work and what happens when two or more reflections are applied one after the other. They use interactive Java applets to examine the reflection of a point and how to describe reflections.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Relationships Between Reflections and Symmetry
Description: In this lesson, one of a multi-part unit from Illuminations, students learn the properties of designs that have bilateral symmetry. They also make their own designs and investigate dihedral symmetry.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Symmetries I
Description: In this unit of four lessons, from Illuminations, investigate rotational symmetry. They learn about the mathematical properties of rotations and have an opportunity to make their own designs.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Symmetries II
Description: In this unit of four lessons, from Illuminations, students use Java applets to investigate reflection, mirror, or bilateral symmetry. They learn about the mathematical properties of mirror symmetry and have a chance to create designs with mirror symmetry.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Symmetries III
Description: This lesson, from Illuminations, helps students to understand how translations work and what happens when two or more translations are applied one after the other. Students discover that all band ornaments have translational symmetry and all wallpaper patterns have translational symmetry in at least two directions.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Symmetries IV
Description: This lesson, from Illuminations, helps students to understand and identify glide reflections. With the help of a Java applet, students construct glide reflections using a translation and a reflection. Students then identify glide reflections from groups of band ornaments and wallpaper patterns.
Thinkfinity Partner: Illuminations

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Subject: Language Arts,Mathematics
Title: Go the Distance
Description: This lesson is the fourth part of a four-part Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool.'' The interactive paper pool game in this unit provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple. At the end of the lesson, students write reports on their findings. This resource is referenced in the Illuminations unit titled '' Analyzing Numeric and Geometric Patterns of Paper Pool'' and is related to the Illuminations lessons titled '' Paper Pool Game,'' '' Explore More Tables,'' '' Look for Patterns.''
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Archimedes' Puzzle
Description: In this lesson, students learn about the history of the Stomachion, an ancient tangram-type puzzle. Students use the puzzle pieces to create other figures, learn about symmetry and transformations and investigate the areas of the pieces.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Algebraic Transformations
Description: In this unit of two lessons, from Illuminations, students learn about the commutative and associative properties using geometric shapes. They investigate the concepts first using a rectangle then using a plus sign shape and a triangle.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Commutative Rectangle
Description: In this lesson, one of a multi-part unit from Illuminations, students investigate the concepts of identity, inverse, commutativity, and associativity using a geometric model. Moves are performed with a rectangle, and the results of an operation that combines two moves are analyzed. Students determine if the operation is commutative or associative, if an identity element exists, or if there are inverses for any of the moves.
Thinkfinity Partner: Illuminations

Thinkfinity Interactive Games
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Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Visualizing Transformations
Description: The interactive figures in this four-part example from Illuminations allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
Thinkfinity Partner: Illuminations

Thinkfinity Learning Activities
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Subject: Mathematics
Title: Congruence Theorems
Description: This student interactive, from Illuminations, allows students to explore the conditions that guarantee uniqueness of a triangle, quadrilateral, or pentagon regardless of location or orientation. Each set of conditions results in a new congruence theorem.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Cyclic Figures
Description: Students will recognize rotation symmetry in figures and examining various rotation symmetries.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Dihedral Figures
Description: Students will recognize dihedral symmetry and reflections in figures and examining various symmetries.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Identifying Unknown Transformations
Description:
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Reflections
Description: This is part three of a four-part e-example from Illuminations that features interactive figures that allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. In this part, Composing Reflections, users can examine the result of reflecting a shape successively through two different lines. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Transformations
Description: This is part four of a four-part e-example from Illuminations that features interactive figures that allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. In this part, Composing Transformations, the users are challenged to compose equivalent transformations in two different ways. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.
Thinkfinity Partner: Illuminations