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16. Determine perimeters, areas, and volumes of common polygons, circles, and solids using counting techniques or formulas.
Items may require students to find the perimeter, area, or volume of two-dimensional figures (triangles, squares, rectangles, parallelograms, rhombuses, trapezoids, circles) and threedimensional figures (cubes, prisms, and pyramids). Other items may require students to find the surface area of three-dimensional figures having square, rectangular, or triangular faces (e.g.. cubes, rectangular prisms, and pyramids).
Formulas will be provided for volumes arid areas of solids, circles, and polygons that are not squares or rectangles. Students will need to be able to find the area of a square or rectangle without a formula being provided in the item.
17. Convert, compare, and compute with common units of measure within the same measurement system.
Students will need an understanding of the relative size of common units of measure for length. capacity, weight, and time. Items may require conversion and/or computations involving units within the same measurement system. Conversion factors may be given for some items; for example, an item requiring conversions between feet and miles.
Units are those within the U.S. standard system (e.g., inch, toot, yard, mile; fluid ounce, cup, pint, quart, gallon; ounce, pound, ton; and second, minute, hour, day, week, year) and metric system (e.g., millimeter, centimeter, decimeter, meter, kilometer; milliliter, liter, kiloliter; and milligram, gram, kilogram).
18. Measure angles with a protractor.
Students need to be able to use a protractor to measure angles. Students may be asked to draw a figure and then measure its angles. Measurements must be made to the nearest whole degrees.
Recognition and use of standard labeling methods and terminology related to angles is expected. Terms may include right angle, acute angle, and obtuse angle. Students may use protractors on the Sixth-grade Proficiency Test in Mathematics.

Summit County ESC
Phone: 330-945-5600, Fax: 330-945-6222
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