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): [MA2015] 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): [MA2015] 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: Pennies, Pennies and More Pennies
Description:
Students will work in cooperative groups to determine the number of pennies to line the baseboard, cover the floor and fill the room. Students will determine the geometric probability that the head of pin will land on the penny and not the floor space between pennies.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2015] AL2 (912) 41: Construct and interpret twoway frequency tables of data when two categories are associated with each object being classified. Use the twoway table as a sample space to decide if events are independent and to approximate conditional probabilities. [SCP4]
Subject: Mathematics (9  12)
Title: Pennies, Pennies and More Pennies
Description: Students will work in cooperative groups to determine the number of pennies to line the baseboard, cover the floor and fill the room. Students will determine the geometric probability that the head of pin will land on the penny and not the floor space between pennies.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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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): [MA2015] 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): [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 (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
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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): [MA2015] 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: Soda Cans
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This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box.
Standard(s): [MA2015] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)
Subject: Mathematics Title: Soda Cans
Description: This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box. Thinkfinity Partner: Illuminations Grade Span: 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): [MA2015] 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: Building Using the FrontRightTop View
Description:
In this lesson, one of a multipart unit from Illuminations, students explore drawing the frontrighttop view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the frontrighttop view.
Standard(s): [MA2015] 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: Building Using the FrontRightTop View
Description: In this lesson, one of a multipart unit from Illuminations, students explore drawing the frontrighttop view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the frontrighttop view. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Circle Packing
Description:
In this unit of three Illuminations lessons, students explore circles. In the first lesson students apply the concepts of area and circumference to explore arrangements for soda cans that lead to a more efficient package. In the second lesson they then experiment with threedimensional arrangements to discover the effect of gravity on the arrangement of soda cans. The final lesson allows students to examine the more advanced mathematical concept of curvature. There are also links to online interactives that are used in the lessons.
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: Circle Packing
Description: In this unit of three Illuminations lessons, students explore circles. In the first lesson students apply the concepts of area and circumference to explore arrangements for soda cans that lead to a more efficient package. In the second lesson they then experiment with threedimensional arrangements to discover the effect of gravity on the arrangement of soda cans. The final lesson allows students to examine the more advanced mathematical concept of curvature. There are also links to online interactives that are used in the lessons. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Circle Packing and Curvature
Description:
In this lesson, one of a threepart unit from Illuminations, students investigate the curvature of circles. Students apply definitions and theorems regarding curvature to solve circle problems. In addition, there are links to an online activity sheet and other related resources.
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: Circle Packing and Curvature
Description: In this lesson, one of a threepart unit from Illuminations, students investigate the curvature of circles. Students apply definitions and theorems regarding curvature to solve circle problems. In addition, there are links to an online activity sheet and other related resources. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Do They Match? Overhead
Description:
This reproducible transparency, from an Illuminations lesson, depicts several pairs of isometric drawings of threedimensional figures. Students determine whether the drawings in each pair represent the same shape as one another.
Standard(s): [MA2015] GEO (912) 36: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [GGMD3]
Subject: Mathematics Title: Do They Match? Overhead
Description: This reproducible transparency, from an Illuminations lesson, depicts several pairs of isometric drawings of threedimensional figures. Students determine whether the drawings in each pair represent the same shape as one another. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
ALEX Podcasts
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Title: Pi  The Mathematical Dessert
Overview:
Watch this podcast and discover the mathematical number pi! Discussion includes the history of pi, mathematical concept of pi, and modern notation of the ∏ symbol used today. Interesting trivia, jokes, pi reciting contests, and pi day celebrations are included. This podcast is a must to add to your mathematics classroom and especially any pi day celebration. Standard(s):
[MA2015] GEO (912) 36: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.* [GGMD3]
Pi  The Mathematical Dessert Overview: Watch this podcast and discover the mathematical number pi! Discussion includes the history of pi, mathematical concept of pi, and modern notation of the ∏ symbol used today. Interesting trivia, jokes, pi reciting contests, and pi day celebrations are included. This podcast is a must to add to your mathematics classroom and especially any pi day celebration.
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): [MA2015] 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.
Thinkfinity Learning Activities
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Title: Flowing Through Mathematics
Description:
This student interactive, from Illuminations, simulates water flowing from a tube through a hole in the bottom. The diameter of the hole can be adjusted and data can be gathered for the height or volume of water in the tube at any time.
Standard(s): [MA2015] ALC (912) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama)
Subject: Mathematics Title: Flowing Through Mathematics
Description: This student interactive, from Illuminations, simulates water flowing from a tube through a hole in the bottom. The diameter of the hole can be adjusted and data can be gathered for the height or volume of water in the tube at any time. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

