G-MG.1.3

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). ★

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Formative Assessments
Formative Assessments
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Students are asked to solve a design problem in which a triangular tract of land is to be partitioned into two regions of equal area.
Land for the Twins
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Students are asked to solve a design problem in which the length of wall used in a rectangular floor plan is minimized.
The Duplex
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Students are given a grid with three points (vertices of a right triangle) representing the starting locations of three sprinters in a race and are asked to determine the center of the finish circle, which is equidistant from each sprinter.
The Sprinters’ Race
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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Assessment Questions
Assessment Questions
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Videos of Expert Instruction
Videos of Expert Instruction
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Did you know that altering computer code can increase 3D printing efficiency? Check it out!
Mathematically Optimizing 3D Printing
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A surveyor describes the the surveying profession and the mathematical background needed to be successful.
Geometry and Surveying
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See and see far into the future of arts and manufacturing as a technician explains computer numerically controlled (CNC) machining bit by bit.
Using Geometry and Computers to make Art with CNC Machining
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A discussion of the applications of Knot Theory, replication of DNA, enzymes, and fluid dynamics.
The Geometry of DNA Replication
Hooks/Performance Tasks
Hooks/Performance Tasks
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This problem uses a combination of Algebra and Geometry. In particular, students need to realize that the centers of three stacked pipe circles form an equilateral triangle.
How Much Shorter Are Staggered Pipe Stacks?
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Students determine distances between various locations and given a rate of travel, students determine the time it takes to travel between two specified locations.
Satellite
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I suggest beginning this lesson by asking students if they notice anything unusual about the field. Once they notice the circles, have a discussion about where they came from until they realize they’re from the sprinklers.
How Can We Water All Of The Grass?
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NASA stopped painting its space shuttles’ external fuel tank because the paint did not improve performance and they wanted to reduce the shuttle’s overall weight.
How Much Does The Paint On A Space Shuttle Weigh?
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In this task, students will provide a sketch of a paper ice cream cone wrapper, use the sketch to develop a formula for the surface area of the wrapper, and estimate the maximum number of wrappers that could be cut from a rectangular piece of paper.
Ice Cream Cone