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5th Grade HP Math Unit 11 Area, Volume, and Surface Area of 3D Shapes

 ﻿Wisconsin State Standards for Unit 11  Mathematics: Grade 5: Measurement and Data  **Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.**   ﻿  Math Unit 11 Lesson Plans (11.4 - 11.8)
 * 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.
 * <span style="line-height: 16px; list-style-image: none; list-style-type: none; margin-bottom: 10px; margin-left: 0px; margin-left: 0px; padding-left: 20px; padding-left: 40px;"><span style="color: #3b3b3a; font-family: Arial,Helvetica,sans-serif; line-height: normal;">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.
 * <span style="line-height: 16px; list-style-image: none; list-style-type: none; margin-bottom: 10px; margin-left: 0px; padding-left: 20px;"><span style="color: #3b3b3a; font-family: Arial,Helvetica,sans-serif; line-height: normal;">Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
 * <span style="line-height: 16px; list-style-image: none; list-style-type: none; margin-bottom: 10px; margin-left: 0px; padding-left: 20px;"><span style="color: #3b3b3a; font-family: Arial,Helvetica,sans-serif; line-height: normal;">Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
 * <span style="line-height: 16px; list-style-image: none; list-style-type: none; margin-bottom: 10px; margin-left: 0px; margin-left: 0px; padding-left: 20px; padding-left: 40px;"><span style="color: #3b3b3a; font-family: Arial,Helvetica,sans-serif; line-height: normal;">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.
 * <span style="line-height: 16px; list-style-image: none; list-style-type: none; margin-bottom: 10px; margin-left: 0px; margin-left: 0px; padding-left: 20px; padding-left: 40px;"><span style="color: #3b3b3a; font-family: Arial,Helvetica,sans-serif; line-height: normal;">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.
 * <span style="line-height: 16px; list-style-image: none; list-style-type: none; margin-bottom: 10px; margin-left: 0px; margin-left: 0px; padding-left: 20px; padding-left: 40px;"><span style="color: #3b3b3a; font-family: Arial,Helvetica,sans-serif; line-height: normal;">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.