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999 West Dundee Road
Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

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Sixth Grade

Geometry

Critical Content

Power Standards

  • Solve mathematical problems, including those is real-world contexts, involving area of two-dimensional shapes. (6.G.1)
  • Solve mathematical problems, including those in real-world contexts, involving volume and surface area of three dimensional objects. (6.G.2, 6.G.4, 7.G.6)

 

Concepts and Skills

* Power Standard Content

  • * Find the area of triangles
  • * Find the area of quadrilaterals
  • * Find the area of composite shapes (e.g., can be decomposed into rectangles and triangles)
  • * Find the volume of rectangular prisms (with whole and fractional edge lengths) by filling and using formulas
  • * Find surface area of 3-dimensional figures (rectangular prisms, triangular prisms, some pyramids) using nets
  • Draw on a coordinate plane by plotting points
  • Use coordinate pairs to find side lengths of a polygon
  • Draw/construct nets using rectangles and triangles to represent 3-dimensional figures (rectangular prisms, triangular prisms, some pyramids)

 

Critical Language

Language Usage

  • A student in 6th grade will demonstrate the ability to apply and comprehend critical language by describing how two-dimensional shapes can be used to represent three-dimensional figures, interpreting a problem to determine which measures are involved, explaining how formulas are related to the shape itself, and explaining a solution strategy.

 

Content-Specific Vocabulary

  • Area
  • Volume
  • Surface area
  • Two-dimensional
  • Three-dimensional
  • Net
  • Length
  • Width
  • Height
  • Square
  • Rectangle
  • Triangle
  • Quadrilateral
  • Polygon
  • Parallelogram
  • Rectangular prism
  • Triangular prism
  • Square prism
  • Square pyramid
  • Triangular pyramid
  • Coordinate plane
  • Coordinate pair

 

Process-Specific Vocabulary

  • Represent
  • Apply
  • Draw
  • Construct
  • Create
  • Fill
  • Wrap
  • Cover
  • Surround
  • Measurement
  • Square units
  • Cubic units

 

Concept-Based Connections

Essential Understandings

  • Shapes and objects can be measured in a variety of ways.
    • Volume is a measure of filling an object.
    • Surface area is a measure of wrapping an object.
    • Area is a measure of covering a shape.
  • Two-dimensional shapes can be used to create three-dimensional objects.

 

Factual Guiding Questions

  • How do you find area of triangles? Quadrilaterals? Composite shapes?
  • How do you find volume of rectangular prisms?
  • How do you find surface area of prisms? Pyramids?

 

Conceptual Guiding Questions

  • Do all rectangular prisms with the same volume have the same surface area?
  • How do you know when to find surface area? Volume?
  • How is finding the area of a parallelogram similar to find the area of a triangle? Rectangle?

 

Engaging/Debatable Guiding Questions

  • How can you use familiar shapes to find areas/volumes/surface areas of composite shapes and figures?