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 Lesson Plans (18) Podcasts (1) Learning Activities (6)

## ALEX Lesson Plans

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Subject: Mathematics (8), or Science (8)
Title: Mirror, Mirror on the Wall: Reflections of Light
Description: Students will learn about the reflective behaviors of light, and the wave and particle nature of light. Students will also recognize congruency of angles.

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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, GEMS-U Project.

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Subject: Mathematics (8)
Title: Using a Graphing Calculator to Determine Transformation(s)
Description: Students will use graphing calculators(TI-83 Plus) to find transformations of polygons.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.

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Subject: Mathematics (6 - 8), or Technology Education (6 - 8)
Title: Geometry City
Description: In this lesson, students will review coordinate plane concepts, practice map skills, review shapes, transform geometric figures, and calculate the area and perimeter of figures.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.

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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 (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

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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: 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: Reflections Across Two Mirror Lines
Description: In this lesson, one of a multi-part 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

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Subject: Mathematics
Title: Relating Rotations to Symmetry
Description: In this lesson, one of a multi-part 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

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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: Mathematics
Title: Blue Squares and Beyond
Description: In this lesson, one of a multi-part 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

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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

## ALEX Podcasts

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Basic Geometry
Overview:
This colorful podcast explores some of the basic concepts of geometry. Students will learn the difference between regular and irregular polygons, characteristicsof quadrilaterals, lines of symmetry, and congruence.

## Thinkfinity Learning Activities

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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: Isometric Drawing Tool
Description: Create dynamic drawings on isometric dot paper with this interactive tool. Draw 2-D and 3-D figures using edges, faces, or cubes that you can shift, rotate, color, or decompose.
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