ALEX Lesson Plans
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Title: How Big Should it Be?
Description:
This lesson will allow students to become familiar with the concept of equivalent ratios and similar objects. Through an open investigation, students will develop methods to find equivalent ratios. This is a lesson to be used as part of a unit with Painter Problems and How Far Can You Leap found in ALEX.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics (6  7)
Title: How Big Should it Be?
Description: This lesson will allow students to become familiar with the concept of equivalent ratios and similar objects. Through an open investigation, students will develop methods to find equivalent ratios. This is a lesson to be used as part of a unit with Painter Problems and How Far Can You Leap found in ALEX.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Shaping the Future
Description:
Students will utilize new found knowledge of architectural design and engineering to apply math and science skills in building a structure. By using interactive websites, they will create scale drawing plans and design and engineer a card structure that should withstand the weight of a regular textbook.
Standard(s): [TC2] (68) 11: Use digital tools and strategies to locate, collect, organize, evaluate, and synthesize
information.
Subject: Mathematics (7), or Technology Education (6  8)
Title: Shaping the Future
Description: Students will utilize new found knowledge of architectural design and engineering to apply math and science skills in building a structure. By using interactive websites, they will create scale drawing plans and design and engineer a card structure that should withstand the weight of a regular textbook.
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Title: Search the Perimeter and Secure the Area
Description:
This lesson will not only help students compare and contrast the concepts of area and perimeter, but it will also move toward the concept that area is maximized while minimizing perimeter with a square.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics (7)
Title: Search the Perimeter and Secure the Area
Description: This lesson will not only help students compare and contrast the concepts of area and perimeter, but it will also move toward the concept that area is maximized while minimizing perimeter with a square.
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Title: Using Scale Factors: Drawing Your Body to Scale
Description:
Teachers will use this lesson to review and apply skills involving scale factors. Teachers will use illuminations website to review scale factor. Then students will be given instructions to draw their bodies to scale.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics (7)
Title: Using Scale Factors: Drawing Your Body to Scale
Description: Teachers will use this lesson to review and apply skills involving scale factors. Teachers will use illuminations website to review scale factor. Then students will be given instructions to draw their bodies to scale.
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Title: 2020  Year of the Cool School!
Description:
Hey! Are you tired of your old lame school? Are the halls too narrow? Do you like walking outside to get to the cafeteria? Are the classrooms too small? Is the design too simple  just too wacky for a middle school? Well, now is the biggest break of your lives  You and your peers will design the school of the future and make history! Your biggest challenge is to create a section of a dream school that oozes and awes your peers. Each team will design a section (cafeteria, library, performing arts room, or recreational room) of the school, research different floor coverings for the section, research different loans to cover the cost of the floor coverings, and design a model of each section. Grab your math knowledge and as many construction tools as you can because you are about to construct a building for the world to remember. But wait, THE CATCH  your team will be competing against other groups. So put your thinking caps on and let the building begin!
Standard(s): [MA2015] (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 Technology Education (6  8)
Title: 2020  Year of the Cool School!
Description: Hey! Are you tired of your old lame school? Are the halls too narrow? Do you like walking outside to get to the cafeteria? Are the classrooms too small? Is the design too simple  just too wacky for a middle school? Well, now is the biggest break of your lives  You and your peers will design the school of the future and make history! Your biggest challenge is to create a section of a dream school that oozes and awes your peers. Each team will design a section (cafeteria, library, performing arts room, or recreational room) of the school, research different floor coverings for the section, research different loans to cover the cost of the floor coverings, and design a model of each section. Grab your math knowledge and as many construction tools as you can because you are about to construct a building for the world to remember. But wait, THE CATCH  your team will be competing against other groups. So put your thinking caps on and let the building begin!
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Title: Wildlife MathEnhancing mathematics in the career/technical classroom and providing relevance in the mathematics classroom
Description:
This integrated lesson is the result of collaboration between Chip Blanton, a wildlife management teacher, and Greg Pendergrass, a math teacher (Ft. Payne High School).
Learning to manage wildlife requires an understanding of planting food plots, creating areas for cover, and providing water. Students learn to use the math skills required to calculate the number acres and the cost of fertilizer and seed needed in food plots and sanctuaries. Given a certain amount of land students decide what part of that land they are to plant and maintain for deer, quail, turkey, rabbit and forestation.
Standard(s): [MA2015] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)
Subject: Agriculture, Food, and Natural Resources (9  12), or Mathematics (7  12)
Title: Wildlife MathEnhancing mathematics in the career/technical classroom and providing relevance in the mathematics classroom
Description: This integrated lesson is the result of collaboration between Chip Blanton, a wildlife management teacher, and Greg Pendergrass, a math teacher (Ft. Payne High School).
Learning to manage wildlife requires an understanding of planting food plots, creating areas for cover, and providing water. Students learn to use the math skills required to calculate the number acres and the cost of fertilizer and seed needed in food plots and sanctuaries. Given a certain amount of land students decide what part of that land they are to plant and maintain for deer, quail, turkey, rabbit and forestation.
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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): [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. [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: "Movin' On Up"
Description:
Students will use their knowledge of scale factor to enlarge a picture to scale. They will then use PhotoStory to create a collage of their pictures.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics (6  7)
Title: "Movin' On Up"
Description: Students will use their knowledge of scale factor to enlarge a picture to scale. They will then use PhotoStory to create a collage of their pictures.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: Similar Figure Activity
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The purpose of this lesson is to allow students to selfdiscover the relationships between similar figures. The students should then take what they learn about these relationships and apply these concepts to problemsolving.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics (7)
Title: Similar Figure Activity
Description: The purpose of this lesson is to allow students to selfdiscover the relationships between similar figures. The students should then take what they learn about these relationships and apply these concepts to problemsolving.
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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.
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Title: Golden Ratios of the Body, Architecture, and Nature
Description:
Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.
Standard(s): [MA2015] (6) 24: Represent threedimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving realworld and mathematical problems. [6G4]
Subject: Mathematics (6  12), or Technology Education (9  12)
Title: Golden Ratios of the Body, Architecture, and Nature
Description: Students will study the golden ratio as it relates to human body measurements, architecture, and nature. Students will use a desktop publishing program to create a poster. The poster will have digital photos of themselves, architecture samples, or nature examples. Students will also include a spreadsheet with the lengths, widths, and length/width ratios of the samples included in the photos.
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Title: Trading and Tracking Stock Portfolios Online
Description:
Student teams will trade stocks and track the progress of their Alabama Stock Market Simulation portfolio by using spreadsheet software and the Internet. They will relate the information to a previous social studies unit on economics and will be utilizing math concepts they have learned. The Internet will be used to research stock trends.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics (6  7), or Technology Education (6  8)
Title: Trading and Tracking Stock Portfolios Online
Description: Student teams will trade stocks and track the progress of their Alabama Stock Market Simulation portfolio by using spreadsheet software and the Internet. They will relate the information to a previous social studies unit on economics and will be utilizing math concepts they have learned. The Internet will be used to research stock trends.
Thinkfinity Lesson Plans
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Title: Hospital Map Activity Sheet
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This student reproducible, from an Illuminations lesson, contains a map of the area wherein students must choose a location to build a new hospital so it is equidistant from Boise, Idaho; Helena, Montana; and Salt Lake City, Utah. Students do their work on a blank transparency and overlay their work onto this map.
Standard(s): [MA2015] DM1 (912) 10: Use vertexcoloring techniques and matching techniques to solve applicationbased problems. (Alabama)
Subject: Mathematics,Social Studies Title: Hospital Map Activity Sheet
Description: This student reproducible, from an Illuminations lesson, contains a map of the area wherein students must choose a location to build a new hospital so it is equidistant from Boise, Idaho; Helena, Montana; and Salt Lake City, Utah. Students do their work on a blank transparency and overlay their work onto this map. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Cubes Everywhere
Description:
In this Illuminations lesson, students use cubes to develop spatial thinking and review basic geometric principles through reallife applications. Students are given the opportunity to build and take apart structures based on cubes.
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: Cubes Everywhere
Description: In this Illuminations lesson, students use cubes to develop spatial thinking and review basic geometric principles through reallife applications. Students are given the opportunity to build and take apart structures based on cubes. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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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): [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: 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: Triangula Island Overhead
Description:
This reproducible transparency, from an Illuminations lesson, contains an activity that asks students to conjecture the best location of a point inside a regular polygon such that the sum of the distances to each side is a minimum.
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: Triangula Island Overhead
Description: This reproducible transparency, from an Illuminations lesson, contains an activity that asks students to conjecture the best location of a point inside a regular polygon such that the sum of the distances to each side is a minimum. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Making Your First Million
Description:
In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers.
Standard(s): [MA2015] (8) 6: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. [8EE4]
Subject: Mathematics Title: Making Your First Million
Description: In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: A Swath of Red
Description:
In this lesson, one of a multipart unit from Illuminations, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate in the 2000 presidential election using a grid overlay. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States.
Standard(s): [MA2015] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2]
Subject: Mathematics Title: A Swath of Red
Description: In this lesson, one of a multipart unit from Illuminations, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate in the 2000 presidential election using a grid overlay. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Building Height
Description:
In this Illuminations lesson, students use a clinometer (a measuring device built from a protractor) and isosceles right triangles to find the height of a building. The class compares measurements, talks about the variation in their results, and selects the best measure of central tendency to report the most accurate height.
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: Building Height
Description: In this Illuminations lesson, students use a clinometer (a measuring device built from a protractor) and isosceles right triangles to find the height of a building. The class compares measurements, talks about the variation in their results, and selects the best measure of central tendency to report the most accurate height. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Area Contractor
Description:
In this Illuminations lesson, students are given the opportunity to explore surface area in the same way that a contractor might when providing an estimate to a potential customer. Once the customer accepts the estimate, a more detailed measurement is taken and a quote prepared.
Standard(s): [MA2015] (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 Title: Area Contractor
Description: In this Illuminations lesson, students are given the opportunity to explore surface area in the same way that a contractor might when providing an estimate to a potential customer. Once the customer accepts the estimate, a more detailed measurement is taken and a quote prepared. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Scaling Away
Description:
In this Illuminations lesson, students measure the dimensions of a common object, multiply each dimension by a scale factor, and examine a model using the multiplied dimensions. Students then compare the surface area and volume of the original object with those of the enlarged model.
Standard(s): [MA2015] GEO (912) 18: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. [GSRT5]
Subject: Mathematics Title: Scaling Away
Description: In this Illuminations lesson, students measure the dimensions of a common object, multiply each dimension by a scale factor, and examine a model using the multiplied dimensions. Students then compare the surface area and volume of the original object with those of the enlarged model. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Shopping Mall Math
Description:
In this twolesson unit, from Illuminations, students participate in activities in which they develop number sense in and around the shopping mall. Two gradelevel activities deal with size and space, estimation, measurement and applications involving percent.
Standard(s): [MA2015] (7) 18: Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. [7SP2]
Subject: Mathematics Title: Shopping Mall Math
Description: In this twolesson unit, from Illuminations, students participate in activities in which they develop number sense in and around the shopping mall. Two gradelevel activities deal with size and space, estimation, measurement and applications involving percent. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Shops at the Mall
Description:
In this lesson, one of a multipart unit from Illuminations, students develop number sense in and around the shopping mall. They explore the allotment of space within a mall by generating a class list of stores typically found in a shopping center or mall. They then categorize stores into general categories, such as women's clothing, food service, and so on, and conduct research about malls in their own area. Finally, students plan a mall and create a scale drawing.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics Title: Shops at the Mall
Description: In this lesson, one of a multipart unit from Illuminations, students develop number sense in and around the shopping mall. They explore the allotment of space within a mall by generating a class list of stores typically found in a shopping center or mall. They then categorize stores into general categories, such as women's clothing, food service, and so on, and conduct research about malls in their own area. Finally, students plan a mall and create a scale drawing. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: History on Stage PopUp Lesson
Description:
This lesson plan, developed in support of the exhibition Paper Engineering: Fold, Pull, Pop, and Turn , introduces students to the variety of mechanisms included in movable books and encourages them to build their own popup in support of a social studies lesson. Making popups subtly reinforces student's understanding of mechanical movement and helps budding architects, designers, and engineers begin to envision objects threedimensionally.
Standard(s): [MA2015] (8) 16: Verify experimentally the properties of rotations, reflections, and translations: [8G1]
Subject: Arts,Mathematics,Social Studies, Language arts Title: History on Stage PopUp Lesson
Description: This lesson plan, developed in support of the exhibition Paper Engineering: Fold, Pull, Pop, and Turn , introduces students to the variety of mechanisms included in movable books and encourages them to build their own popup in support of a social studies lesson. Making popups subtly reinforces student's understanding of mechanical movement and helps budding architects, designers, and engineers begin to envision objects threedimensionally. Thinkfinity Partner: Smithsonian Grade Span: 5,6,7,8
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Title: Purple Prisms
Description:
In this lesson, one of a multipart unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. They manipulate the scale factor that links two threedimensional rectangular prisms to learn about edge lengths and surface area relationships.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics Title: Purple Prisms
Description: In this lesson, one of a multipart unit from Illuminations, students investigate rectangular prisms using an online, interactive applet. They manipulate the scale factor that links two threedimensional rectangular prisms to learn about edge lengths and surface area relationships. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Mathematics and Children's Literature
Description:
In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages.
Standard(s): [ELA2015] (8) 9: By the end of the year, read and comprehend literature, including stories, dramas, and poems, at the high end of Grades 68 text complexity band independently and proficiently. [RL.8.10]
Subject: Language Arts,Mathematics Title: Mathematics and Children's Literature
Description: In this fivelesson unit, from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. Five pieces of literature are applied to teaching a wide range of topics in the mathematics curriculum, from sorting and classifying to the meaning of averages. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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Title: Making Beds
Description:
In this lesson, one of a multipart unit from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. They listen to the story How Big Is a Foot? by Rolf Myller and then explore the need for a standard unit of measure.
Standard(s): [ELA2015] (5) 1: Quote accurately from a text when explaining what the text says explicitly and when drawing inferences from the text. [RL.5.1]
Subject: Language Arts,Mathematics Title: Making Beds
Description: In this lesson, one of a multipart unit from Illuminations, students participate in activities in which they focus on connections between mathematics and children s literature. They listen to the story How Big Is a Foot? by Rolf Myller and then explore the need for a standard unit of measure. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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Title: Bermuda Triangle
Description:
This printable overhead projector sheet, from an Illuminations lesson, features a map with a drawing of the Bermuda Triangle. Students are asked to determine the area of the Bermuda Triangle based on this drawing and using the scale provided.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics Title: Bermuda Triangle
Description: This printable overhead projector sheet, from an Illuminations lesson, features a map with a drawing of the Bermuda Triangle. Students are asked to determine the area of the Bermuda Triangle based on this drawing and using the scale provided. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Centimeter Grid Paper
Description:
This reproducible grid, from an Illuminations lesson, which features 1 cm by 1 cm squares, can be photocopied onto transparency paper and used by students to estimate the area of various shapes.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics Title: Centimeter Grid Paper
Description: This reproducible grid, from an Illuminations lesson, which features 1 cm by 1 cm squares, can be photocopied onto transparency paper and used by students to estimate the area of various shapes. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Scaling Away
Description:
This reproducible worksheet, from an Illuminations lesson, contains questions regarding the effect of multiplying by a scale factor on the surface area and volume of a rectangular prism or cylinder.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics Title: Scaling Away
Description: This reproducible worksheet, from an Illuminations lesson, contains questions regarding the effect of multiplying by a scale factor on the surface area and volume of a rectangular prism or cylinder. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Scale Factor
Description:
This reproducible transparency, from an Illuminations lesson, features information about scale factors.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics Title: Scale Factor
Description: This reproducible transparency, from an Illuminations lesson, features information about scale factors. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Planning a Playground
Description:
In this Illuminations lesson, students design a playground using manipulatives and multiple representations. Maximum area with a given perimeter will be explored using tickets. This is an interesting demonstration of how a realworld context can change a purely mathematical result.
Standard(s): [MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Subject: Mathematics Title: Planning a Playground
Description: In this Illuminations lesson, students design a playground using manipulatives and multiple representations. Maximum area with a given perimeter will be explored using tickets. This is an interesting demonstration of how a realworld context can change a purely mathematical result. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
ALEX Podcasts
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Title: Adventure Math Time Show  Indirect Measurement
Overview:
This podcast was created with middle school students in mind. In the podcast, you will see three 7th grade students indirectly figure out the height of a lamp post. The podcast is designed so that the viewers are given the steps necessary to find the height of the lamp post. The viewers are also shown how to execute the steps. The steps can be used to indirectly find the height of anything on a sunny day. Standard(s):
[MA2015] (7) 11: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. [7G1]
Adventure Math Time Show  Indirect Measurement Overview: This podcast was created with middle school students in mind. In the podcast, you will see three 7th grade students indirectly figure out the height of a lamp post. The podcast is designed so that the viewers are given the steps necessary to find the height of the lamp post. The viewers are also shown how to execute the steps. The steps can be used to indirectly find the height of anything on a sunny day.
Thinkfinity Learning Activities
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Title: Turtle Pond
Description:
In this student interactive, from Illuminations, students guide a turtle to a pond using computer commands. They improve their skills in estimating length and angle measurement as they enter a sequence of commands (distances and angles at which to turn) to help the turtle move toward the pond. The goal is to find the shortest path to the pond.
Standard(s): [MA2015] GEO (912) 19: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle leading to definitions of trigonometric ratios for acute angles. [GSRT6]
Subject: Mathematics Title: Turtle Pond
Description: In this student interactive, from Illuminations, students guide a turtle to a pond using computer commands. They improve their skills in estimating length and angle measurement as they enter a sequence of commands (distances and angles at which to turn) to help the turtle move toward the pond. The goal is to find the shortest path to the pond. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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Title: Fractal Tool
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This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations.
Standard(s): [MA2015] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Fractal Tool
Description: This student interactive, from Illuminations, illustrates iteration graphically. Students can view preset iterations of various shapes and/or choose to create their own iterations. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12
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Title: Canada Data Map
Description:
Investigate data for the Canadian provinces and territories with this interactive tool. Students can examine data sets contained within the interactive, or they can enter their own data.
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 Title: Canada Data Map
Description: Investigate data for the Canadian provinces and territories with this interactive tool. Students can examine data sets contained within the interactive, or they can enter their own data. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9,10,11,12
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Title: Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures: Side Length, Volume, and Surface Area of Similar Solids
Description:
This is part two of a twopart eexample from Illuminations that illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. In this part, Side Length, Volume, and Surface Area of Similar Solids, the user can manipulate the scale factor that links two threedimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath Investigations.
Standard(s): [MA2015] (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 Title: Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures: Side Length, Volume, and Surface Area of Similar Solids
Description: This is part two of a twopart eexample from Illuminations that illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. In this part, Side Length, Volume, and Surface Area of Similar Solids, the user can manipulate the scale factor that links two threedimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath Investigations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8

