Measurement and Data

5.MD.1Convert among different-sized standard measurement units within a given measurement system (e.g. convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.5.MD.2Make a data display (line plot, bar graph, pictograph) to show a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations (add, subtract, multiply) on fractions for this grade to solve problems involving information presented in the data display. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally. After lunch everyone measured how much milk they had left in their containers. Make a line plot showing data to the nearest 1/4 cup. Which value has the greatest amount? What is the total?5.MD.3Recognize volume as an attribute of solid figures and understand concepts of volume measurement.5.MD.3aA cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.5.MD.3bA solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.5.MD.4Measure volumes by counting unit cubes such as cubic cm, cubic in, cubic ft. or nonstandard cubic units.5.MD.5Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.5.MD.5aFind the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent three-dimensional whole-number products as volumes, (e.g. to represent the associative property of multiplication.)5.MD.5bApply the formulas V = l x w x h and V = B x h (B represents the area of the base) for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.5.MD.5cRecognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
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