LAC 28:CXLII.1309. Data Analysis and Measurement

A. Convert like measurement units within a given measurement system. 1. Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step, real-world mathematical tasks involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving whole numbers, decimals, and fractions. B. Compare whole numbers. 1. Make a line plot to display a data set of measurements in fractions of a unit , use operations on fractions, excluding dividing fractions by fractions, to solve real-world mathematical tasks involving information presented in line plots. C. Geometric measurement. Understand concepts of volume and relate volume to multiplication and to addition. 1. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. a. A 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. b. A solid figure that can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. 2. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. 3. Relate volume to the operations of multiplication and addition and solve real-world mathematical tasks involving volume. a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and connect that the volume is the same as multiplying the edge lengths, also by multiplying the height by the area of the base. Represent threefold whole-number products as volumes. b. Apply the formulas V = l x w x h and V = B x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world mathematical tasks. c. Recognize 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 mathematical tasks. D. Geometric measurement. Extend previous understandings of area and multiplication to multiply fractions. 1. Apply and extend previous understandings of area and multiplication to multiply a fraction or whole number by a fraction. a. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. b. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. c. Compose and decompose rectangular regions to calculate area.