ALEX Lesson Plans
Subject: Mathematics (8  12), or Credit Recovery Science (8) Title: Exploring Monticello: Symmetry in Math and Science
Description: Lesson created by Melinda Defee, Tammy Goss, and Nicole Kimbril
This lesson teaches students math and science principles of dimension, symmetry and reflection through drawing various buildings.
The lesson is part of a larger interdisciplinary unit that explores art, math, science, language arts, and social studies through the study of the architecture of Monticello to illustrate symmetry and the cultural influences on modern society.
This lesson plan was created through a collection of the participants of ArtBridges 2014 workshop and the Johnson Center for the Arts.
Subject: Mathematics (6  8) Title: How Tall Is Hagrid?
Description: This activity uses data collection method for students to mathematically compute the height and shoulder width of the character Hagrid from Harry Potter. Students will measure their own heights and shoulder widths to come up with a class average. They will use this average to find an approximation of the size of Hagrid.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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 threedimensional shapes, produce a powerpoint describing a chosen shape, and make a picture of themselves as one of the shapes.
Subject: Mathematics (8  12) Title: Scale Drawings
Description: During this lesson students practice measuring and converting to scaled measurements. Students measure various places on campus, such as a classroom or the gym. They place their findings on a spreadsheet. After converting these measurements to a scaled version, students draw a scaled model.
Thinkfinity Lesson Plans
Subject: Mathematics Title: Covering the Plane with RepTiles
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Description: In this lesson, from Illuminations, students discover and explore a special kind of tiling of the plane. Reptiles 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 Grade Span: 3,4,5,6,7,8
Subject: Mathematics Title: Cyclic Figures
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Description: Students will recognize rotation symmetry in figures and examining various rotation symmetries. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Subject: Mathematics Title: Describing Reflections
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Description: In this lesson, one of a multipart 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 Grade Span: 9,10,11,12
Subject: Mathematics Title: Dihedral Figures
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Description: Students will recognize dihedral symmetry and reflections in figures and examining various symmetries. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
Subject: Mathematics Title: Exploring the Isometric Drawing Tool
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Description: In this lesson, one of a multipart 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 Grade Span: 6,7,8
Subject: Mathematics Title: Isometric Drawing Tool
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Description: Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2D and 3D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12
Subject: Mathematics Title: Reflections Across Two Mirror Lines
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Description: In this lesson, one of a multipart unit from Illuminations, students learn what happens when a design is reflected twice across two different mirror lines. They use interactive Java applets to explore reflections across parallel and intersecting mirror lines. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Relating Rotations to Symmetry
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Description: In this lesson, one of a multipart unit from Illuminations, students investigate the relationship between rotations and the symmetry in a figure or a design. They use an interactive Java applet to illustrate rotational symmetry and investigate cyclic designs and point symmetry. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Relationships Between Reflections and Symmetry
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Description: In this lesson, one of a multipart 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 Grade Span: 9,10,11,12
Subject: Mathematics Title: Symmetries I
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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 Grade Span: 9,10,11,12
Subject: Mathematics Title: Symmetries II
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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 Grade Span: 9,10,11,12
Subject: Mathematics Title: Symmetries III
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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 Grade Span: 9,10,11,12
Subject: Mathematics Title: Symmetries IV
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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 Grade Span: 9,10,11,12
Subject: Mathematics Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Reflections
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Description: This is part three of a fourpart eexample 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. eMath Investigations are selected eexamples 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 eexamples are natural companions to the iMath Investigations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Subject: Mathematics Title: Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Composing Transformations
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Description: This is part four of a fourpart eexample 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. eMath Investigations are selected eexamples 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 eexamples are natural companions to the iMath Investigations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Subject: Mathematics Title: Fractal Tool
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Description: This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12
Subject: Mathematics Title: Blue Squares and Beyond
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Description: In this lesson, one of a multipart unit from Illuminations, students manipulate two rectangles to create examples of similarity and to study the effects on area ratios. Students sketch similar figures, verify proportionality, and apply these concepts to structures in their world. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Subject: Mathematics Title: Archimedes' Puzzle
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Description: In this lesson, students learn about the history of the Stomachion, an ancient tangramtype 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 Grade Span: 3,4,5,6,7,8

