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Using Cubes and Isometric Drawings

6-8
Geometry
Unknown
Location: Unknown

In this interactive geometry investigation, students explore polyhedra using different representations and perspectives for three dimensional block figures. In addition, students will examine area and volume concepts for block figures within this context.  

Math Content 

Students will:  

  • Analyze characteristics and properties of three dimensional geometric shapes and develop mathematical arguments about geometric relationships.  
  • Use visualization, spatial reasoning, and geometric modeling to solve problems.  
  • Create three dimensional shapes using the isometric drawing tool and represent these shapes as isometric drawings.  
  • Find the surface area and volume of various polyhedra created in this unit.  

If possible, each student should have access to an individual computer.

ExploringTheIsometricDrawingTool ICON
Geometry

Exploring the Isometric Drawing Tool

6-8
Students explore using the isometric drawing tool and gain practice and experience in manipulating drawings.
DoTheyMatch ICON
Geometry

Do They Match?

6-8
Using three dimensional figures they have constructed, students determine when two isometric drawings can represent the same shape and explain their reasoning. Students will also determine what possible shapes might have the same isometric drawing and explain their reasoning.
2017icon
Geometry

Building Using the Front-Right-Top View

6-8
Students explore drawing the front-right-top view when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the front-right-top view.
MatPlans ICON
Geometry

Mat Plans

6-8
Students explore drawing a mat plan when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the mat plan.
FindingSurfaceAreaAndVolume ICON
Geometry

Finding Surface Area and Volume

6-8
Using the isometric drawing tool, students build three-dimensional figures and find the surface area and volume of each figure.
AreTheyPossible ICON
Geometry

Are They Possible?

6-8
Students examine some isometric drawings that seem to be impossible and investigate one way Escher used to create these "impossible" figures.