# Math – Mar. 5th – Mar. 23rd

Teacher Brittnee Zeak Math 5 27-29 Measurement and Data Geometry
Standard(s) Taught

*NEW*

MAFS.5.MD.3.3 – 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 which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

MAFS.5.MD.3.4 – Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

MAFS.5.MD.3.5 – Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. 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.

a. Represent threefold whole-number products as volumes, e.g.,to represent the associative property of multiplication.

b. Apply the formula 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.

c. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of non-overlapping parts, applying this technique to solve real world problems.

Learning Targets and Learning Criteria

MAFS.5.MD.3.3 – Students will:

• identify volume as an attribute of a solid figure.
• explain that a cube with 1 unit side length is “one cubic unit” of volume.
• explain a process for finding the volume of a solid figure by filling it with unit cubes without gaps and overlaps.

MAFS.5.MD.3.4 – Students will:

• measure the volume of a hollow three-dimensional figure (i.e., rectangular prism and cube) by filling it with unit cubes without gaps and counting the number of unit cubes.
• use unit cubes to create two different rectangular prisms with one given volume.

MAFS.5.MD.3.5 – Students will:

• relate finding the product of three numbers (length, width, and height) to finding volume.
• use the formula for area (3rd grade skill) to develop an understanding of volume.
• relate the associative property of multiplication to finding volume.
• calculate volume of rectangular prisms and cubes, with whole number edge lengths, using the formula for volume (V = lwh or V = Bh) in real world and mathematical problems
Classroom Activities
1. Fluency Drills
2. IXL – W/Z Lessons Goal Mastery 80%
3. Math Stations