ALEX Lesson Plans
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Title: Circling Around
Description:
Students will calculate the diameter, circumference, and ratio of a real world object. Students will create an electronic slideshow to illustrate the process of determining the diameter, circumference, and ratio of these objects.
Standard(s): [TC2] (68) 5: Use basic features of word processing, spreadsheets, databases, and presentation software.
Subject: Mathematics (7), or Technology Education (6  8)
Title: Circling Around
Description: Students will calculate the diameter, circumference, and ratio of a real world object. Students will create an electronic slideshow to illustrate the process of determining the diameter, circumference, and ratio of these objects.
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Title: Circles All Around Us
Description:
In this lesson, students will estimate several dimensions of circles in everyday objects. Students will use the metric and customary systems for their estimations. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics (7)
Title: Circles All Around Us
Description: In this lesson, students will estimate several dimensions of circles in everyday objects. Students will use the metric and customary systems for their estimations. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Discovering Pi
Description:
This lesson allows students to discover the number Pi. By measuring real life objects, students will get to see where the number Pi comes from as well as how the circumference formula is derived.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics (6  7)
Title: Discovering Pi
Description: This lesson allows students to discover the number Pi. By measuring real life objects, students will get to see where the number Pi comes from as well as how the circumference formula is derived.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Applications of Area Abound
Description:
The teacher will first provide direction instruction on area formulas and provide students an opportunity to practice using those formulas. Students will then apply their knowledge of area to reallife situations. They will write a short story to go along with the area problem, then record themselves "acting" it out, and finally add clip art images to illustrate their story. They will then turn all of this into a podcast using Photo Story 3, which can be uploaded to the Internet.
Standard(s): [MA2013] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics (6  7), or Technology Education (9  12)
Title: Applications of Area Abound
Description: The teacher will first provide direction instruction on area formulas and provide students an opportunity to practice using those formulas. Students will then apply their knowledge of area to reallife situations. They will write a short story to go along with the area problem, then record themselves "acting" it out, and finally add clip art images to illustrate their story. They will then turn all of this into a podcast using Photo Story 3, which can be uploaded to the Internet.
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Title: It's Around There Somewhere! Perimeter, and Circumference
Description:
The purpose of this lesson is to review the concepts of perimeter, and circumference.Students will also use their knowledge to apply perimeter, and circumference formulas within practical applications such as in spatial design.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):
Subject: Mathematics (7  12)
Title: It's Around There Somewhere! Perimeter, and Circumference
Description: The purpose of this lesson is to review the concepts of perimeter, and circumference.Students will also use their knowledge to apply perimeter, and circumference formulas within practical applications such as in spatial design.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: "Introducing Pi!"
Description:
The overriding purpose of the lesson is to actively engage students in learning activities that promote opportunities for students to discover the 'meaning' of pi. Activities will include research, handson, software applications, reading, writing, and collaborative work opportunities. The secondary purpose is to introduce and spark enthusiasm among students for our celebration of 'Pi Day'.
Standard(s):
Subject: Mathematics (6  7)
Title: "Introducing Pi!"
Description: The overriding purpose of the lesson is to actively engage students in learning activities that promote opportunities for students to discover the 'meaning' of pi. Activities will include research, handson, software applications, reading, writing, and collaborative work opportunities. The secondary purpose is to introduce and spark enthusiasm among students for our celebration of 'Pi Day'.
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Title: Bu Bu Bubbles!
Description:
Students will employ the Scientific Method, measurement skills and spreadsheet software to generate and report relevant data. The data generated from this activity is used to illustrate the need for consumer awareness and the strength of advertising.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics (7), or Technology Education (3  5)
Title: Bu Bu Bubbles!
Description: Students will employ the Scientific Method, measurement skills and spreadsheet software to generate and report relevant data. The data generated from this activity is used to illustrate the need for consumer awareness and the strength of advertising.
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Title: How Big Can a Bee Be?
Description:
Students will study the relationship between surface area and volume. Math, science, and technology components are included.
Standard(s): [MA2013] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Subject: Mathematics (7), or Science (7  12), or Technology Education (9  12)
Title: How Big Can a Bee Be?
Description: Students will study the relationship between surface area and volume. Math, science, and technology components are included.
Thinkfinity Lesson Plans
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Title: Approximations of Pi
Description:
This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi.
Standard(s): [MA2013] AM1 (912) 12: Calculate the limit of a sequence, of a function, and of an infinite series. (Alabama)
Subject: Mathematics Title: Approximations of Pi
Description: This student reproducible, from an Illuminations lesson, provides information about and several examples of approximations for the constant pi. 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): [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 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: Soda Cans
Description:
In this lesson, one of a threepart unit from Illuminations, students investigate various designs for packaging soda cans and use geometry to analyze their designs. Students work to create more efficient arrangements that require less packaging material than the traditional rectangular arrays. In addition, there are links to online activity sheets and other related resources.
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 Title: Soda Cans
Description: In this lesson, one of a threepart unit from Illuminations, students investigate various designs for packaging soda cans and use geometry to analyze their designs. Students work to create more efficient arrangements that require less packaging material than the traditional rectangular arrays. 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: Soda Rack
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In this lesson, one of a threepart unit from Illuminations, students consider the arrangement of cans placed in a bin with two vertical sides and discover an interesting result. They then prove their conjectures about the interesting results. In addition, there are links to online activity sheets and other related resources.
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 Title: Soda Rack
Description: In this lesson, one of a threepart unit from Illuminations, students consider the arrangement of cans placed in a bin with two vertical sides and discover an interesting result. They then prove their conjectures about the interesting results. 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: Apple Pie Recording Chart
Description:
This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects.
Standard(s): [MA2013] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7]
Subject: Mathematics Title: Apple Pie Recording Chart
Description: This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Apple Pi
Description:
In this unit of two lessons, from Illuminations, students use estimation and measurement skills to determine the ratio of circumference to diameter and explore the meaning of pi. They discover formulas for the circumference and area of a circle based on their investigations.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Apple Pi
Description: In this unit of two lessons, from Illuminations, students use estimation and measurement skills to determine the ratio of circumference to diameter and explore the meaning of pi. They discover formulas for the circumference and area of a circle based on their investigations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Square Circles
Description:
This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. They draw conclusions about the relationship of side/perimeter in squares and diameter/circumference in circles based on collected data. Then, through physical representations, they develop the idea of a constant that relates a circle s diameter to its circumferencenamely pi.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Square Circles
Description: This Illuminations lesson allows students to use a variety of units when measuring the side length and perimeter of squares, as well as the diameter and circumference of circles. They draw conclusions about the relationship of side/perimeter in squares and diameter/circumference in circles based on collected data. Then, through physical representations, they develop the idea of a constant that relates a circle s diameter to its circumferencenamely pi. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: The Ratio of Circumference to Diameter
Description:
In this lesson, one of a multipart unit from Illuminations, students measure the circumference and diameter of circular objects. They calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: The Ratio of Circumference to Diameter
Description: In this lesson, one of a multipart unit from Illuminations, students measure the circumference and diameter of circular objects. They calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Discovering the Area Formula for Circles
Description:
In this lesson, one of a multipart unit from Illuminations, students use a circle that has been divided into congruent sectors to discover the area formula by using their knowledge of parallelograms. They then calculate the area of various flat circular objects that they have brought to school. Finally, students investigate various strategies for estimating the area of circles.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Discovering the Area Formula for Circles
Description: In this lesson, one of a multipart unit from Illuminations, students use a circle that has been divided into congruent sectors to discover the area formula by using their knowledge of parallelograms. They then calculate the area of various flat circular objects that they have brought to school. Finally, students investigate various strategies for estimating the area of circles. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Patterns and Function
Description:
In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two and threedimensional shapes.
Standard(s): [MA2013] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve realworld and mathematical problems. [8G9]
Subject: Mathematics Title: Patterns and Function
Description: In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two and threedimensional shapes. 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):
[MA2013] 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.
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Title: What Is Pi?
Description:
Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why?
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: CrossDisciplinary  History , CrossDisciplinary  Informal Education , Language Arts  Vocabulary , Social Studies  Civics , Social Studies  Comparative Political Systems , Social Studies  Technology and Civilization , Social Studies  United States Constitution , Social Studies  United States Government , Social Studies  United States History , Informal Education  Academic Enrichment Title: What Is Pi?
Description: Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why? Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
Web Resources
Podcasts
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Title: Area of a Circle
Description:
This is a video showing the development and applications of the formula for finding the area of a circle.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Area of a Circle
http://www.artofprob...
This is a video showing the development and applications of the formula for finding the area of a circle.
Assessments
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Title: Alcumus Online Learning System
Description:
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Standard(s): [MA2013] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Alcumus Online Learning System
http://www.artofprob...
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Interactives/Games
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Title: Alcumus Online Learning System
Description:
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Standard(s): [MA2013] (7) 16: Solve realworld and mathematical problems involving area, volume, and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7G6]
Alcumus Online Learning System
http://www.artofprob...
Alcumus offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is specifically designed to provide highperforming students with a challenging curriculum appropriate to their abilities.
Thinkfinity Learning Activities
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Title: What Is Pi?
Description:
Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why?
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: CrossDisciplinary  History , CrossDisciplinary  Informal Education , Language Arts  Vocabulary , Social Studies  Civics , Social Studies  Comparative Political Systems , Social Studies  Technology and Civilization , Social Studies  United States Constitution , Social Studies  United States Government , Social Studies  United States History , Informal Education  Academic Enrichment Title: What Is Pi?
Description: Apple pie, cherry pie, strawberry pie  you'll find these pies and many more brought to parties around the world today. Why? It's Pi Day, of course!, Fans of math around the world celebrate Pi Day on March 14. Wonder why? Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
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Title: Circle Tool
Description:
This interactive from Illuminations allows students to compare the relationships between radius, diameter, circumference, and area by manipulating a circle and increasing or decreasing its size.
Standard(s): [MA2013] (7) 14: Know the formulas for the area and circumference of a circle, and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. [7G4]
Subject: Mathematics Title: Circle Tool
Description: This interactive from Illuminations allows students to compare the relationships between radius, diameter, circumference, and area by manipulating a circle and increasing or decreasing its size. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8

