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Grade 6, Math
Std #8:
Determine the distance between two points on a scale drawing or a map using proportional reasoning.
  • Using different forms of notation to symbolize ratios and rates

Lesson Plans:
That's About the Size of it: 
During this lesson, students will have the opportunity to apply scales on maps to the real world, construct their own scale models, and use the concepts of scale and ratio to draw their own maps, drawings or models.
 
Thirteen.org - Building Bridges:
Students work together to design and test a scale bridge.  The Internet is utilized as a research tool to allow them to gain background information in three basic bridge designs.
 
Tacoma Narrows Bridge:
In this lesson, students will be able to understand and apply the concept of scale.  They will also connect scale to real-life situations.
 
Students will understand that ratios are used to create scale mobels of buildings and structures.
 
Space Station Module Planning: 
Students explore NASA's website and make scale drawings before making actual models of space station models.

Lewis and Clark:
PBS lesson in which students use a map to estimate/calculate the time and distance of different segments of the expedition.

Lost at Sea - The Search for Longitude: 
Students research and chart the shortest course to circumnavigate the globe.

Scaling Away: Investigating the Effects of Scale Factor
Students will measure the dimensions of a common object, multiply each dimension by a scale factor, and examine a model using the multiplied dimensions.

Linking Length, Perimeter, Area, and Volume
Students gain understanding of ratio, proportion, scale factor, and similarity using perimeter, area, volume, and surface area of various rectangular shapes.

A Thematic Mathematics Project for Grade 7
Students design, "build", and "sell" a house, then simulate investment of the profits in the stock market.

Dragonwings:
Sixteen dragon drawings used in a mathematics exercise using the idea of scale drawings and enlargement to scale.

Teacher Tech - Tour De Texas
Students will be able to estimate and use measuring devices to determine distances between two points.

Sizing Up the Solar System:
Students investigate and design various models of size and distance related to the solar system.

How Do Scientists Measure the Earth?
Eratosthenes, a Greek mathematician, was the first to measure the circumference of the earth. He based his measurement of the earth on the assumptions that the earth was round and the sun's rays are parallel. He knew that at noon on the day of the summer solstice...

 

Resources:

Mathematics of Cartography
Students will study the mathematics of maps by utilizing various online resources.  The lesson is designed so that students can work independently with guidance when needed from the teacher.

A Mathematics of Cartography:
A number of mathematics problems related to maps.

GIS:
This site explains to students what a Geographic Information System is and enables users to plot multiple data sets onto maps of varying scales.

 

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