ALEX Lesson Plans
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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 thirtysix 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.
Standard(s): [MA2015] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama)
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 thirtysix 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.
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Title: Area and Perimeter of Various Polygons
Description:
In this lesson students will be engaged in an interactive online practice session using area and perimeter. Students will have to use critical thinking skills in order to unlock gates and learn more about the cups in the challenge.
Standard(s): [MA2015] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama)
Subject: Mathematics (9  12)
Title: Area and Perimeter of Various Polygons
Description: In this lesson students will be engaged in an interactive online practice session using area and perimeter. Students will have to use critical thinking skills in order to unlock gates and learn more about the cups in the challenge.
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Title: Let’s Tessellate
Description:
This lesson is a handson, technologybased 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.
Standard(s): [MA2015] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama)
Subject: Mathematics (7  12), or Technology Education (9  12)
Title: Let’s Tessellate
Description: This lesson is a handson, technologybased 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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Title: Playing with Squares
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This reproducible activity sheet, from an Illuminations lesson, prompts students to investigate the meaning of square roots by considering the area of squares and the heights of various stacks of squares.
Standard(s): [MA2015] GEO (912) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [GMG3]
Subject: Mathematics Title: Playing with Squares
Description: This reproducible activity sheet, from an Illuminations lesson, prompts students to investigate the meaning of square roots by considering the area of squares and the heights of various stacks of squares. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Location, Location, Location
Description:
In this Illuminations lesson, students use a dynamic geometry applet to investigate the relationship between the distances from a point inside a regular polygon to each side. In addition, there are links to online activity sheets and other related resources.
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 Title: Location, Location, Location
Description: In this Illuminations lesson, students use a dynamic geometry applet to investigate the relationship between the distances from a point inside a regular polygon to each side. In addition, there are links to online activity sheets and other related resources. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Pinwheel
Description:
In this Illuminations lesson, students create parallelograms from square sheets of paper and connect them to form an octagon. During the construction, students consider angle measures, segment lengths, and areas in terms of the original square. At the end of the lesson, the octagon is transformed into a pinwheel, and students discover a surprising result. There is also a link to a related activity sheet.
Standard(s): [MA2015] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama)
Subject: Mathematics Title: Pinwheel
Description: In this Illuminations lesson, students create parallelograms from square sheets of paper and connect them to form an octagon. During the construction, students consider angle measures, segment lengths, and areas in terms of the original square. At the end of the lesson, the octagon is transformed into a pinwheel, and students discover a surprising result. There is also a link to a related activity sheet. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
ALEX Podcasts
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Title: 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. Standard(s):
[MA2015] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama)
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 Learning Activities
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Title: Octagon Island
Description:
This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a octagon to its sides and determine the sum of these distances.
Standard(s): [MA2015] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama)
Subject: Mathematics Title: Octagon Island
Description: This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a octagon to its sides and determine the sum of these distances. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

