**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] (6-8) 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.

**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): **

[MA2015] (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. [7-G4]

**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.

**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, GEMS-U Project.
**Standard(s): **

[MA2015] (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. [7-G4]

**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, GEMS-U Project.

**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 real-life 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): **

[MA2015] (7) 16: Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. [7-G6]

**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 real-life 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.

**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, hands-on, 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, hands-on, 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'.

**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): **

[MA2015] (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. [7-G4]

**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.

**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): **

[MA2015] AM1 (9-12) 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

**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 three-dimensional 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 (9-12) 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).* [G-MG3]

**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 three-dimensional 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

**Title:** Soda Cans

**Description:**
In this lesson, one of a three-part 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): **

[MA2015] GEO (9-12) 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).* [G-MG3]

**Subject:**Mathematics

**Title:**Soda Cans

**Description:**In this lesson, one of a three-part 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

**Title:** Soda Rack

**Description:**
In this lesson, one of a three-part 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): **

[MA2015] GEO (9-12) 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).* [G-MG3]

**Subject:**Mathematics

**Title:**Soda Rack

**Description:**In this lesson, one of a three-part 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

**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): **

[MA2015] AL1 (9-12) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]

**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

**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): **

[MA2015] (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. [7-G4]

**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

**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 circumference--namely pi.
**Standard(s): **

[MA2015] (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. [7-G4]

**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 circumference--namely pi.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** The Ratio of Circumference to Diameter

**Description:**
In this lesson, one of a multi-part 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): **

[MA2015] (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. [7-G4]

**Subject:**Mathematics

**Title:**The Ratio of Circumference to Diameter

**Description:**In this lesson, one of a multi-part 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

**Title:** Discovering the Area Formula for Circles

**Description:**
In this lesson, one of a multi-part 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): **

[MA2015] (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. [7-G4]

**Subject:**Mathematics

**Title:**Discovering the Area Formula for Circles

**Description:**In this lesson, one of a multi-part 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

**Title:** Patterns and Function

**Description:**
In this lesson, from Illuminations, students investigate properties of perimeter, area, and volume related to various geometric two- and three-dimensional shapes.
**Standard(s): **

[MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems. [8-G9]

**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 three-dimensional shapes.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**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): **

[MA2015] (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. [7-G4]

**Subject:**Cross-Disciplinary - History , Cross-Disciplinary - 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

**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): **

[MA2015] (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. [7-G4]

**Subject:**Cross-Disciplinary - History , Cross-Disciplinary - 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

**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): **

[MA2015] (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. [7-G4]

**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