ALEX Lesson Plans
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Title: Figure it out...
Description:
This is an Internetbased (online) and group discussion lesson. Students will learn the formulas for surface area and volume of cylinders and cones. Students should have previously learned how to determine the area for a circle; however, this lesson will review that particular process.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Subject: Mathematics (9  12)
Title: Figure it out...
Description: This is an Internetbased (online) and group discussion lesson. Students will learn the formulas for surface area and volume of cylinders and cones. Students should have previously learned how to determine the area for a circle; however, this lesson will review that particular process.
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Title: Surface Area of Pyramids and Cones
Description:
In this inquirybased lesson, students will discover the formulas for the surface area of pyramids and cones.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Subject: Mathematics (9  12)
Title: Surface Area of Pyramids and Cones
Description: In this inquirybased lesson, students will discover the formulas for the surface area of pyramids and cones.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Water Tank Creations Part I
Description:
In this lesson students will study the surface area and volume of threedimensional shapes by creating a water tank comprised of these shapes. Students will work in groups of 45 to research water tanks, develop scale drawings and build a scale model. Teacher will evaluate the project using a rubric and students will assess one anothers cooperative skills using a rubric.
Standard(s): [MA2013] GEO (912) 40: Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, British Thermal Units (BTUs) per cubic foot).* [GMG2]
Subject: Mathematics (7  12), or Technology Education (9  12)
Title: Water Tank Creations Part I
Description: In this lesson students will study the surface area and volume of threedimensional shapes by creating a water tank comprised of these shapes. Students will work in groups of 45 to research water tanks, develop scale drawings and build a scale model. Teacher will evaluate the project using a rubric and students will assess one anothers cooperative skills using a rubric.
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Title: Creating a Water Tank  Part II "Selling the Tank"
Description:
Working in groups of 45 students will take the information,pictures and 3D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.
Standard(s): [MA2013] 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 (7  12), or Technology Education (9  12)
Title: Creating a Water Tank  Part II "Selling the Tank"
Description: Working in groups of 45 students will take the information,pictures and 3D model of the water tank they assembled in Part I of Creating a Water Tank and develop a web page and a video presentation. The web page will be a tool to advertise their water tank construction company and must include hyperlinks and digital pictures. The video presentation will be a "sales pitch" to a city council. The web page and video will be scored using a rubric. The web page and video must include the surface area, volume and cost of construction.
Thinkfinity Lesson Plans
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Title: Tetrahedral Kites
Description:
In this Illuminations lesson, students construct tetrahedrons and describe the linear, area and volume using nontraditional units of measure. They combine four tetrahedra to form a similar tetrahedron whose linear dimensions are twice the original tetrahedron. The area and volume relationships between the first and second tetrahedra are explored, and generalizations for the relationships are developed. In addition, there is a link to an assessment activity sheet.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Subject: Mathematics Title: Tetrahedral Kites
Description: In this Illuminations lesson, students construct tetrahedrons and describe the linear, area and volume using nontraditional units of measure. They combine four tetrahedra to form a similar tetrahedron whose linear dimensions are twice the original tetrahedron. The area and volume relationships between the first and second tetrahedra are explored, and generalizations for the relationships are developed. In addition, there is a link to an assessment activity sheet. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Are They Possible? Overhead
Description:
This reproducible transparency, from an Illuminations lesson, depicts several isometric drawings of several '' impossible'' figures.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Subject: Mathematics Title: Are They Possible? Overhead
Description: This reproducible transparency, from an Illuminations lesson, depicts several isometric drawings of several '' impossible'' figures. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Using Cubes and Isometric Drawings
Description:
In this unit of six lessons, from Illuminations, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students examine area and volume concepts for block figures within this context.
Standard(s): [MA2013] GEO (912) 38: Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects. [GGMD4]
Subject: Mathematics Title: Using Cubes and Isometric Drawings
Description: In this unit of six lessons, from Illuminations, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students examine area and volume concepts for block figures within this context. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Web Resources
Lesson Plans
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Title: Fishing for the Best Prism
Description:
In this lesson, students use polydrons to create nets of rectangular prisms. They discover that there are many configurations for rectangular prisms with the same volume, and determine that certain configurations minimize surface area. The lesson continues in a discovery activity related to building the most costefficient and appealing fish tank.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Fishing for the Best Prism
http://illuminations...
In this lesson, students use polydrons to create nets of rectangular prisms. They discover that there are many configurations for rectangular prisms with the same volume, and determine that certain configurations minimize surface area. The lesson continues in a discovery activity related to building the most costefficient and appealing fish tank.
Interactives/Games
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Title: Geometry StepbyStep
Description:
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Geometry StepbyStep
http://agutie.homest...
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Learning Activities
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Title: Geometry StepbyStep
Description:
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Geometry StepbyStep
http://agutie.homest...
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Teacher Tools
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Title: Geometry StepbyStep
Description:
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.
Standard(s): [MA2013] GEO (912) 37: Determine the relationship between surface areas of similar figures and volumes of similar figures. (Alabama)
Geometry StepbyStep
http://agutie.homest...
This site provides a mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", and more.

