5.MD.1
“Convert 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.”
Questions 1 to 3 convert within both systems, ending with the multi-step 8 × 400 m = 3,200 m = 3.2 km.
5.MD.2
“Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. 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.”
Questions 6 and 7 use the rain-gauge line plot, including the standard's own redistribute-equally move at 21/80 cup per gauge.
5.MD.3.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.”
No question here defines or counts single unit cubes; the volume work assumes that idea and goes straight to formulas in questions 4 and 5.
5.MD.3.b
“A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.”
The packing definition is background rather than a question on this sheet; the composite figure in question 5 relies on it implicitly.
5.MD.4
“Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.”
Cube-counting is not asked directly; volumes in questions 4 and 5 come from labeled dimensions instead.
5.MD.5.a
“Find 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 threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.”
Question 4 states the formula Volume = length × width × height and has students apply it to the 8 × 5 × 6 box.
5.MD.5.b
“Apply the formulas V = l × w × h and V = b × h 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.”
Questions 4 and 5 both apply V = l × w × h with whole-number edges, in inches and centimeters.
5.MD.5.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 problems.”
Question 5 is the additive-volume question: two non-overlapping prisms of 120 cm³ and 80 cm³ combine to 200 cm³.
