ALEX Lesson Plans
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Title: Falling Down a Rabbit Hole Can Lead to a King Sized Experience  Exploring Similar Figures Using Proportions
Description:
In this lesson, students will explore the concept of similarity. Students will first simplify ratios, solve proportions using the cross product property, and use properties of proportions to solve realworld problems. Similar polygons will then be introduced and their properties used to solve realworld problems.
Standard(s): [MA2015] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2]
Subject: Mathematics (7  12)
Title: Falling Down a Rabbit Hole Can Lead to a King Sized Experience  Exploring Similar Figures Using Proportions
Description: In this lesson, students will explore the concept of similarity. Students will first simplify ratios, solve proportions using the cross product property, and use properties of proportions to solve realworld problems. Similar polygons will then be introduced and their properties used to solve realworld problems.
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Title: I Can Determine The Height Of A Rocket!
Description:
The lesson is intended to give students a fun realworld experience in applying their math skills. They will use trigonometric ratios to calculate heights of tall structures. They will also use the Internet to convert their calculations from standard to metric units and visa versa.
Standard(s): [MA2015] GEO (912) 39: Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).* [GMG1]
Subject: Mathematics (9  12), or Technology Education (9  12)
Title: I Can Determine The Height Of A Rocket!
Description: The lesson is intended to give students a fun realworld experience in applying their math skills. They will use trigonometric ratios to calculate heights of tall structures. They will also use the Internet to convert their calculations from standard to metric units and visa versa.
Thinkfinity Lesson Plans
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Title: Covering the Plane with RepTiles
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.
Standard(s): [MA2015] GEO (912) 16: Use the properties of similarity transformations to establish the angleangle (AA) criterion for two triangles to be similar. [GSRT3]
Subject: Mathematics Title: Covering the Plane with RepTiles
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
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Title: Relating Rotations to Symmetry
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.
Standard(s): [MA2015] GEO (912) 16: Use the properties of similarity transformations to establish the angleangle (AA) criterion for two triangles to be similar. [GSRT3]
Subject: Mathematics Title: Relating Rotations to Symmetry
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
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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.
Standard(s): [MA2015] GEO (912) 16: Use the properties of similarity transformations to establish the angleangle (AA) criterion for two triangles to be similar. [GSRT3]
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 Grade Span: 9,10,11,12
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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.
Standard(s): [MA2015] MI1 (912) 9: Analyze works of visual art and architecture for mathematical relationships. (Alabama)
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 Grade Span: 9,10,11,12
Thinkfinity Learning Activities
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Title: Dihedral Figures
Description:
Students will recognize dihedral symmetry and reflections in figures and examining various symmetries.
Standard(s): [MA2015] GEO (912) 15: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. [GSRT2]
Subject: Mathematics Title: Dihedral Figures
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
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Title: Fractal Tool
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.
Standard(s): [MA2015] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Fractal Tool
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

