3.MD

Measurement and Data

3.MD.1Tell and write time to the nearest minute using a.m. and p.m. and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, (e.g. by representing the problem on a number line diagram.)3.MD.2Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l) (Excludes cubed units such as cm^3 and finding the geometric volume of a container).3.MD.3Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, (e.g. by using drawings (such as a beaker with a measurement scale) to represent the problem.) (Excludes multiplicative comparison problems)3.MD.4Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.3.MD.5Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units – whole numbers, halves, or quarters.3.MD.6Recognize area as an attribute of plane figures and understand concepts of area measurement.3.MD.6aA square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area (does not require standard square units).3.MD.6bA plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units (does not require standard square units).3.MD.7Measure areas by counting unit squares (square cm, square m, square in, square ft, and non-standard square units).3.MD.8Relate area to the operations of multiplication and addition.3.MD.8aFind the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.3.MD.8bMultiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.3.MD.8cUse tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b+c is the sum of a ∙ b and a ∙ c. Use area models to represent the distributive property in mathematical reasoning (Supports 3.OA.5).3.MD.8dRecognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.3.MD.9Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
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