Other

#### Description:

Students will use two different methods to determine the densities of a variety of materials and objects. The first method involves direct measurement of the volumes of objects that have simple geometric shapes, while the second uses the water displacement method to determine the volumes of irregularly-shaped objects. After the densities are determined, students will create x-y scatter graphs of mass versus volume, and these graphs will reveal that objects with densities less than water (floaters) lie above the graph’s diagonal, and those with densities greater than water (sinkers) lie below the diagonal. Pre-requisite Knowledge: * Students should be able to use rulers to measure lengths to the nearest millimeter, triple beam balances to measure masses to at least the nearest 0.1 gram, and graduated cylinders to measure liquids to at least the nearest 1 milliliter. * Students should be able to calculate the volumes of rectangular, cylindrical, and spherical solids. * Students should be able to graph points on an x-y coordinate grid.

#### Subjects:

• Mathematics > General

#### Keywords:

x-y scatter graph,Middle School,NSDL,density,oai:nsdl.org:2200/20120614151519030T,Grade 9,Grade 7,displacement,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-016,Physical properties,High School,Vocational/Professional Development Education,Mathematics,Physical science,Chemistry,Physics,Grade 8,Properties of materials

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.Math.Content.7.G.B.6: Common Core State Standards for Mathematics

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

#### CCSS.Math.Content.8.G.C.9: Common Core State Standards for Mathematics

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

#### CCSS.Math.Content.HSG-GMD.A.3: Common Core State Standards for Mathematics

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.?

#### CCSS.Math.Content.HSG-MG.A.2: Common Core State Standards for Mathematics

Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).?
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