Domain 5.MD, Measurement and Data

Cluster 5.MD.A, Convert like measurement units within a given measurement system.

Supporting Cluster

Standard 5.MD.A.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.

11 Lessons

63 Activities

Cluster 5.MD.B, Represent and interpret data.

Supporting Cluster

Standard 5.MD.B.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.

3 Lessons

10 Activities

Cluster 5.MD.C, Geometric measurement: understand concepts of volume.

Major Cluster

Standard 5.MD.C.3

Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

7 Lessons

15 Activities

Standard 5.MD.C.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.

5 Lessons

4 Activities

Standard 5.MD.C.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.

5 Lessons

4 Activities

Standard 5.MD.C.4

Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

3 Lessons

18 Activities

Standard 5.MD.C.5

Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

15 Lessons

57 Activities

Standard 5.MD.C.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.

2 Lessons

9 Activities

Standard 5.MD.C.5.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 and mathematical problems.

6 Lessons

21 Activities

Standard 5.MD.C.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.

6 Lessons

17 Activities