1Teaching Module 2: Using Scale City To Teach Proportional Reasoning
Scale City: The Road to Proportional Reasoning is organized into eight learning modules. These modules, separately and collectively, are designed to help students explore and understand concepts related to proportional reasoning and to scale and scaling in particular.
Each “destination” along the virtual road trip features a three- to six-minute video fieldtrip and a related activity (an interactive simulation).
Teaching Module 2 includes the following:
The math explored in all eight Scale City modules
Brief descriptions of the video “fieldtrips” featured in the Scale City modules
Step-by-step explorations of each module’s interactive simulation and the final quiz
A look at the additional resources included in Scale City
2Dinosaur World: One-Dimensional Scaling
In Dinosaur World, students explore how to use proportional reasoning to determine the relative heights of objects.
Greetings from Dinosaur World
Video:
In the video “Greetings from Dinosaur World,” students take a trip to the park, located in western Kentucky near Mammoth Cave, where fossil records of real dinosaurs were used to create more than 100 models, all scaled to size. The sculptures range from dog-sized dinos to ones as tall as four-story buildings.
Click the "view" button on the left to watch the video. A new window will open, and you can close it to return here when you are done.
Flash Activity: Size-O-Rama
Interactive
In the Flash activity “Size-O-Rama” students estimate and determine proportional relationships related to the size of dinosaurs. Another activity, “Din-O-Rama,” asks students to resize a dinosaur so it is the correct scale for a virtual dinorama. Click "view" on the left to open the Flash activity. A new window will open, and you can close it to return here when you are done.
See below for a demonstration of the Flash activities.
Click the links below for a demonstration of “Size-O-Rama” and “Din-O-Rama.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
In this module, students explore the geometry of similar triangles, measurement, and proportional reasoning to find an unknown height.
Greetings from the Louisville Slugger Museum
Video: 4m 12s
From Babe Ruth to Ken Griffey Jr., baseball’s heavy hitters have used wooden bats crafted by Louisville Slugger. “Greetings from the Louisville Slugger Museum” video features a tour of the factory and a look at the World’s Largest Bat.
Click "view" on the left to watch the video. A new window will open, and you can close it to return here when you are done.
Flash Activity: Similar Shadows
Interactive
Using the activity “Similar Shadows,” students explore and calculate how measurement, right triangles, and shadows can be used to determine an unknown height. Click "view" on the left to open the flash activity.
See below for a demonstration of the Flash activity.
Click the link below for a demonstration of “Similar Shadows.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
This module uses mural painting to help students explore how to scale up images in two dimensions.
The World of Mural Painting
Video: 3m 51s
In the video, “Greetings from the World of Mural Painting,” students see two large contemporary murals painted on the sides of buildings as well as wonderful old murals created for post offices during the Great Depression. The video asks students to think about how mural artists use math to create large works of arts.
Click "view" on the left to watch the video. A new window will open, and you can close it to return here when you are done.
Flash Activity: Mural Math
Interactive
The activity “Mural Math” has students use skills in computation and problem solving to determine answers related to area. Students also identify the steps and information necessary to use proportional reasoning to solve problems. Click "view" on the left to open the Flash activity.
See below for a demonstration of the Flash activity.
Click the link below for a demonstration of “Mural Math.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
Miniature Land focuses on how to scale up objects and figures in three dimensions. Students develop an understanding of scale, surface area, and volume.
Greetings from Miniature Land
Video: 5m 52s
“Greetings from Miniature Land” features fascinating collections of perfectly scaled tiny versions of real places and things. The video includes a trip to the third largest miniature collection in the world at the Kentucky Gateway Museum in Maysville featuring a 1:12 scale replica of Princess Diana’s childhood home. The video also introduces how architects use scale models to help design real buildings.
Click "view" on the left to watch the video. A new window will open, and you can close it to return here when you are done.
Flash Activity: House of Scales
Interactive
In the activity “House of Scales,” students use information about scale to determine the measurements of given objects using proportional reasoning. They will scale up the dimensions of a tiny house to a more livable version, and then decorate the house whey they’re finished. Click "view" on the left to open the Flash activity.
See below for a demonstration of the Flash activity.
Click the link below for a demonstration of “House of Scales.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
How do you use proportional reasoning to scale recipes? What happens to the area of a circle when its radius changes? These questions are the focus of the World Chicken Festival module.
Greetings from the World Chicken Festival
Video: 3m 47s
You can fry a lot of chicken in the world’s largest skillet featured at the World Chicken Festival held annually in London, Kentucky, located near Corbin, the birthplace of Kentucky Fried Chicken. The video, “Greetings from the World Chicken Festival, ” introduces scaling up recipes—how much flour, oil, and chicken do you need to feed 8,000 people? The video also pays a visit to the Casey County Apple Festival featuring the world’s largest apple pie.
Click "view" on the left to watch the video. A new window will open, and you can close it to return here when you are done.
Flash Activity: Sunnyside up
Interactive
In the activity “Sunnyside Up,” students scale up recipes for a large family reunion. They apply what they know about equivalent ratios and fractions to determine how to prepare enough food. Click "view" on the left to open the Flash activity.
below for a demonstration of the Flash activity.
Click the link below for a demonstration of “Sunnyside Up.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
This module encourages students to think about inverse proportions and relationships.
Greetings from Sky-Vue Drive-In
Video: 4m 24s
“Greetings from Sky-Vue Drive-In” takes students on a tour through the history of drive-in theaters and a visit to one that’s still open and thriving in Winchester, Kentucky. Looking at shadows through the drive-in movie projector introduces the relationship of a shadow’s size to its distance from the light source.
Click "view" on the left to watch the video. A new window will open, and you can close it to return here when you are done.
Flash Activity: Drive-In Shadow Puppets
Interactive
The activity “Drive-In Shadow Puppets” demonstrates the concept of inverse proportions by allowing students to experiment with shadow sizes cast by a movie projector and discover how the height of the shadow changes based on distance from the projector. Click "view" on the left to open the Flash activity.
See below for a demonstration of the Flash activity.
Click the link below for a demonstration of “Drive-In Shadow Puppets.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
In this module, students discover the proportional relationship between the length of a music string or pipe and the sound it produces. Students also explore the proportional relationships between the design of musical instruments and their pitches or frequencies.
Video: Greetings from the Belle of Louisville
Video: 5m 31s
In “Greetings from the Belle of Louisville,” students get to see and hear the old-time music of a calliope on the historic steamboat docked in Louisville, Kentucky. Students learn about the sound pipes make proportionate to their length by watching the calliope pipes whistle a tune and applying the same concept to a church organ and other musical instruments.
Click "view" on the left to watch the video. A new window will open, and you can close it to return here when you are done.>
Flash Activity: Musical Scales
Interactive
The video sets the stage for the activity “Musical Scales” where students align musical notes on a virtual pan flute. Students use proportional reasoning to calculate frequencies and put the pipes in correct order, from the lowest pitch to the highest. Click "view" on the left to open the Flash activity.
See below for a demonstration of the Flash activity.
Click the link below for a demonstration of “Musical Scales.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
9The Kentucky Horse Park: Time, Distance, and Speed
The Kentucky Horse Park module demonstrates how time, distance, and speed are related mathematically. Students learn how to calculate rate of speed and compare direct and inverse proportions.
Video: Greetings from the Kentucky Horse Park
Video: 3m 56s
“Greetings from the Kentucky Horse Park” features the lush paddocks filled with breeds of various shapes and sizes in the park located in Lexington, Kentucky. Students learn how horses are measured—by “hands”; see the relationship between a horse’s stride and speed; and begin to think about the relationship among speed, time, and distance. Click "view" on the left to watch the video.
Flash Activity: At the Track
Interactive
In the activity, “At the Track,” students race the great Thoroughbred Man o’ War against other great horses, a cheetah, and people. Students learn to calculate rate of speed and the direct and inverse proportional relationships between speed and distance and speed and time. Click "view" on the left to open the Flash activity.
See below for a demonstration of the Flash activity.
Click the link below for a demonstration of “At the Track.” A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
For review, pre- or post-assessment, or just for fun, the Scale City Quiz uses an old-fashioned vending machine and a game-like structure to test students’ knowledge of the proportional reasoning concepts taught in the eight interactive simulations. The Quiz is primarily designed for individual use.
When players get right answers—two for each module—they earn a “snack.” The object is to win all eight snacks.
Click the link below for a demonstration of the Scale City Quiz. A new window will open up with the tutorial inside. Close that window when you are finished and return to this screen to continue.
A “Teacher’s Diner” provides a wealth of resources to help teachers integrate Scale City into their curricula.
Lesson plans for each module are designed for flexibility. You can follow them as step-by-step guides or use one or more elements to supplement or extend existing lessons. They include handouts, writing prompts, adaptations for diverse learners, ideas for cross-curricular connections, assessments, and more. Accompanying each lesson plan is a set of handouts. Scattered throughout the lessons and some of the handout keys are tips and special notes to the teacher. These tips and notes discuss teaching techniques and approaches, provide ideas for extending the lessons, and offer additional explanation of terms or difficult concepts.
Other tools available at the "Teacher's Diner" include a "Guide to Using Scale City" and vocabulary and resource lists. Check out the appendices in the user's guide: one is a series of eight fun mysteries that can be used as class starters, and the other is a comprehensive assessment over all the content in Scale City.
Teachers' Domain, Module 2: Using Scale City To Teach Proportional Reasoning, published January 24, 2011, retrieved on , http://www.teachersdomain.org/resource/scl10.plr.module2/
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Clicking on "View" at the left under "Teacher Activity" takes you to Teaching Module 2: Using Scale City To Teach Proportional Reasoning. This interactive teaching module provides a tour of the resources and mathematics explored in Scale City: The Road to Proportional Reasoning, an online resource designed for classroom use.
Overview
Scale City: The Road to Proportional Reasoning is organized into eight learning modules:
Dinosaur World: One Dimensional Scaling
Louisville Slugger Museum: Similar Triangles
The World of Mural Painting: Two Dimensional Scaling
Miniature Land: Three Dimensional Scaling
World Chicken Festival: Scaling Up Recipes and Circles
Sky-Vue Drive-in: Inverse Proportions
Belle of Louisville: Musical Scale
Kentucky Horse Park: Time, Distance, and Speed
Each “destination” along the virtual road trip features a three- to six-minute video fieldtrip and a related activity (an interactive simulation). This teaching module includes links to and brief descriptions of the video "fieldtrips" as well as step-by-step instructions for the interactive simulations and the final interactive, the Scale City quiz.
The content of this teaching module is presented in multiple ways:
Links to Scale City Resources
This teaching module includes descriptions and links to the 3-5 minute video and the interactive simulation found in each of the eight Scale City modules. Clicking on the links will open up a new window. If you encounter problems playing the video, such as stopping or skipping, the video may need more time to buffer. Just pause the video until buffering is complete. When you're finished watching, close the link to continue with the module.
Camtasia Videos
This teaching module provides video tutorials and additional tips on using the interactive simulations found in the eight Scale City modules as well as the final interactive quiz. The tutorials open up in a new window. When you're finished viewing the video, close the link to continue with the module.
Academic standards correlations on Teachers' Domain use the Achievement Standards Network (ASN) database of state and national standards, provided to NSDL projects courtesy of JES & Co.
We assign reference terms to each statement within a standards document and to each media resource, and correlations are based upon matches of these terms for a given grade band. If a particular standards document of interest to you is not displayed yet, it most likely has not yet been processed by ASN or by Teachers' Domain. We will be adding social studies and arts correlations over the coming year, and also will be increasing the specificity of alignment.