STATE GOAL 7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.
Why This Goal Is Important: Measurement provides a way to answer questions about "how many," "how much" and "how far." It is an indispensable component of business, manufacturing, art, medicine and many other aspects of daily life. We describe the sizes, capacities and values of many things, from the large distances involved in space travel, to the very small quantities in computer design and microbiology, to the varying values of currencies in international monetary exchange. All people must be able to choose an appropriate level of accuracy for a measurement; to select what measuring instruments to use and to correctly determine the measures of objects, space and time. These activities require people to be able to use standard instruments including rulers, volume and capacity measures, timers and emerging measurement technologies found in the home and workplace.
Illinois Mathematics Standards covered: (7B, & 7C)
Learning Standard 7B. Estimate measurements and determine acceptable levels of accuracy. Early Elementary 7.B.1a Given a problem, describe possible methods for estimating a given measure. Late Elementary 7.B.2a Determine and communicate possible methods for estimating a given measure, selecting proper units in both customary and metric systems. Late Elementary 7.B.2b Estimate conversions between measures within the customary and metric systems. Middle & Junior
7.B.3 Select and apply instruments including rulers and protractors and units of measure to the degree of accuracy required. Early High School 7.B.4 Estimate and measure the magnitude and directions of physical quantities (e.g., velocity, force, slope) using rulers, protractors and other scientific instruments including timers, calculators and computers. Late High School 7.B.5 Estimate perimeter, area, volume, and capacity of irregular shapes, regions and solids and explain the reasoning supporting the estimate. Learning Standard 7C. Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings. Early Elementary 7.C.1 Determine perimeter and area using concrete materials (e.g., geoboards, square tiles, grids, measurement instruments). Late Elementary 7.C.2a Describe relationships in a simple scale drawing. Late Elementary 7.C.2b Construct or draw figures with given perimeters and areas. Middle & Junior
7.C.3a Construct a simple scale drawing for a given situation. Middle & Junior
7.C.3b Use concrete and graphic models and appropriate formulas to find perimeters, areas, surface areas and volumes of two- and three-dimensional regions. Early High School 7.C.4a Make indirect measurements, including heights and distances, using proportions (e.g., finding the height of a tower by its shadow). Early High School 7.C.4b Interpret scale drawings and models using maps and blueprints Late High School 7.C.5a Use dimensional analysis to determine units and check answers in applied measurement problems.
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