Chapter 15

Surface Area & Volume

5th Grade: Chapter 15 Outline

Week 31

Essential Questions:

  • Why would it be important to know the volume of everyday objects?

Content:

Students will know and understand:

    • Unit cube
    • Surface area
    • Right triangle

Skills:

Students Will:

    • Build solids using unit cubes.
    • Determine the number of unit cubes in an irregular solid.
    • Draw a cube and a rectangular prism on dot paper.
    • Complete a partially drawn cube and rectangular prism on dot paper.
    • Find the volumes of cubes and rectangular prisms.
    • Find the volume of a solid constructed from unit cubes.
    • Compare volumes of cubes, rectangular prisms, and other objects.
    • Use a formula to find the volume of a rectangular prism.
    • Find the capacity of a rectangular container.
    • Solve word problems involving volume of rectangular prisms and liquids.
    • Find the volume of a solid figure composed of two rectangular prisms.
    • Solve real world problems involving the volume of a solid figure composed of two rectangular prisms.

Assessment

Chapter 15 Assessment: Surface Area & Volume

Formative Test: Common

Upon completion of Unit 15:

  • 5.NBT.B.5. Fluently multiply multi-digit whole numbers using the standard algorithm.
  • 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.
  • 5.MD.C.3a. 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.MD.C.3b. 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.MD.C.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
  • 5.MD.C.5a. 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.
  • 5.MD.C.5b. 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.
  • 5.MD.C.5c. 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.