LAC 28:CXLII.1109. Data Analysis and Measurement

A. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 1. Know relative sizes of measurement units within one system of units, including ft, in; km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec. a. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. b. Record measurement equivalents in a two-column table. Conversions are limited to one-step conversions. 2. Use the four operations to solve multi-step real-world mathematical tasks involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving whole numbers and/or simple fractions, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. 3. Apply the area and perimeter formulas for rectangles in real-world mathematical tasks. B. Use place value understanding and properties of operations to perform multi-digit arithmetic. 1. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). a. Solve real-world mathematical tasks involving the addition and subtraction of fractions with like denominators by using information presented in line plots. C. Geometric measurement. Understand concepts of angle and measure angles. 1. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where two rays intersect the circle. b. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles. c. An angle that turns through n one-degree angles is said to have an angle measure of n degrees. 2. Measure angles in whole-number degrees using a standard 180 degrees protractor. 3. Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. a. Solve addition and subtraction real-world mathematical tasks to find unknown angles on a diagram. D. Relate area to operations of multiplication and addition. 1. Recognize area as additive. a. Decompose two-dimensional composite figures whose sides meet at right angles into non-overlapping rectangles and squares. Apply area formulas to find the area of each part, and use addition or subtraction to determine the total area of the composite figure.