Chapter 11 Multiply Fractions

5.MD.C.3 - Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

- - - - 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.
        A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubit units.

5.MD.C.4 - Measure volume by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5.MD.C.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. Represent threefold whole-number products as volumes.
      - 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.
      - 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.

5.G.B.3 - Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

5.G.B.4 - Classify two-dimensional figures in a hierarchy based on properties.

Click on the Quizlet button to access the vocabulary words that you will need to know in Chapter Eleven

Chapter 11 Vocabulary

base - a plane figure that is usually a polygon, used to describe and help find the volume of a solid figure
congruent - having the same size and the same shape
lateral face - a polygon that connects with the bases of a polyhedron
polygon- a closed plane figure formed by three or more line segments that meet at points called vertices
polyhedron - a solid figure with faces that are polygon
prism - a solid figure with two congruent polygons that are bases, connected with lateral faces that are rectangles
regular polygon - a polygon in which all sides are congruent and all angles are congruent
unit cube - a cube that has a length, width, and height of 1 unit
volume - the measure of the amount of space a solid figure occupies