Academic standards

- GLE 0306.4.5
- Solve measurement problems involving fractional parts of linear units and capacity units.
- GLE 0406.4.1
- Understand and use the properties of lines, segments, angles, polygons, and circles.
- GLE 0506.4.4
- Solve problems that require attention to both approximation and precision of measurement.

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Essential and guiding questions:

Discussion Questions:

- Suppose there were no units for measuring length. Hypothesize how lengths might be described. Then discuss how measuring length would be different without inches. Finally, discuss why having a range of units for measuring length, such as inches and feet, to choose from is necessary.
- Would you measure a pencil in feet? A hallway in inches? Discuss whether these approaches make sense or whether using different units would be better.
- Hypothesize about the possibility of developing a new standard unit for measuring length. Plan the unit. Explain whether the unit would be shorter than 1 inch, between 1 inch and 1 foot, between 1 foot and 1 yard, between 1 yard and 1 mile, or longer than 1 mile. Express the unit in terms of inches, feet, yards, or miles. Debate the advantages of the new unit.
- Discuss some careers in which being able to measure or estimate length is essential. Some examples are jobs in architecture and construction, interior design, and medicine.
- Suppose you were asked to design a room for young people in a neighborhood community center. You would need to tell the planners how big the room should be, whether a basketball hoop should be installed, whether the room should be divided into different sections, how many gallons of paint would be needed to paint the space, and how many sheets of flooring would be needed. How would you go about making these decisions? Would you use estimation, measuring, or both? What would your plan look like?
- State whether you agree or disagree with each of the following, and defend your position.
- An estimate is not a guess.
- If you can measure, why estimate?
- Linear measurements are not useful in everyday life.
- Unless a measurement is exact, what good is it?