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 Lesson Plans (8) Multimedia (1) Interactives/Games (1)

## ALEX Lesson Plans

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Subject: Mathematics (8)
Title: Using Exploration and Discovery To Determine the Vertices of Transformed Images
Description: This hands-on lesson uses exploration and discovery to help students determine the coordinates of the vertices of various figures when translated, rotated, or reflected in a coordinate plane. The exploration phase will access students' prior knowledge and prepare them for the assigned task of using and applying their understanding of transformed images to new situations. The final project will be a cooperative activity, requiring collaboration in the application phase to discover the patterns and create graphs following directions unique to each group.

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Subject: Mathematics (8 - 12)
Title: Geometric Quilts
Description: Students will use a square to investigate other polygonal shapes that can be formed. Students will work with these polygons to make designs that will later constitute cooperatively designed quilts. The quilts will be made by translating, rotating, or reflecting a thirty-six patch design. The completed quilts will then be used for a discussion of area and perimeter. Students will blog about what they have learned while doing the lesson and will include pictures of their finished product in our class blog.

## Thinkfinity Lesson Plans

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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: 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: 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

## ALEX Multimedia

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Geometric Quilts
Overview:
This podcast is intended to accompany the lesson "Geometric Quilts." It is intended to be shown to the class between the design and creation segments of the project. Students will get tips to putting their quilt together properly and will get to see other students' completed quilts. Students will also see some quilts that were not properly constructed in hopes that they will not make the same mistakes.

## 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: 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