## Gulliver's Worlds: Measuring and Scaling

Students use measurement and estimation to determine the scale factor that relates the sizes of things in mythical Brobdingnag (taken from Gulliver’s Travels) to the sizes of things in real life “Ourland.” They then use clues from Gulliver’s journal to determine the scale factor of objects that are reduced in size and the effect of rescaling on linear, area and volume measures. Lastly, they explore scale factors – both integer and non-integer – that enlarge and that reduce sizes.

### NCTM Standard: Geometry

• Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
• Specify locations and describe spatial relationships using coordinate geometry and other representational systems
• Use visualization, spatial reasoning, and geometric modeling to solve problems

### NCTM Standard: Measurement

• Understand measurable attributes of objects and the units, systems, and processes of measurement
• Apply appropriate techniques, tools, and formulas to determine measurements

### Primary Mathematical Goals

• Estimate and measure dimensions of objects in US Customary, metric, and non-standard units
• Select appropriate units of measurement
• Use estimation and scale factor to rescale objects
• Create and interpret scale drawings
• Solve problems in one, two, and three dimensions
• Determine scale factor