GEOMETRY AND MEASUREMENT CONCEPTS

The student produces evidence that demonstrates understanding of geometry and measurement concepts as follows (follow links to Interactivate lessons):

• The student is familiar with assorted two- and three-dimensional objects, including squares, triangles, other polygons, circles, cubes, rectangular prisms, pyramids, spheres, and cylinders.

  Length, Perimeter and Area
  Lines, Rays, Line Segments, and Planes
  Angles
  Quadrilaterals
  Surface Area and Volume
  Geometry in Tessellations
  Symmetry in Tessellations
  

• The student identifies similar and congruent shapes and uses transformations in the coordinate plane, i.e., translations, rotations and reflections.

  Length, Perimeter and Area
  Lines, Rays, Line Segments, and Planes
  Translations, Reflections, and Rotations
  

• The student indentifies three dimensional shapes from two dimensional perspectives, and draws two dimensional sketches of three dimensional objects that preserve significant features.

  Surface Area and Volume
  

• The student determines and understands length, area, and volume, including perimeter and surface area, uses units of measure correctly, computes area of rectangles, triangles, and circles, and computes volumes of prisms.

  Length, Perimeter and Area
  Lines, Rays, Line Segments, and Planes
  Quadrilaterals
  Surface Area and Volume
  Geometry in Tessellations
  Geometric Fractals
  
  

• The students recognizes similarity and rotational and bilateral symmetry in two- and three-dimensional figures.

  Quadrilaterals
  Surface Area and Volume
  Translations, Reflections, and Rotations
  Symmetry in Tessellations
  Visual Patterns in Tessellations
  Introduction to Fractals: Infinity, Self-Similarity and Recursion
  Geometric Fractals
  Fractals and the Chaos Game
  Properties of Fractals
  Chaos
  Pascal's Triangle
  Irregular Fractals
  The Mandelbrot Set
  

• The student analyzes and generalizes geometric patterns, such as tessellations and sequences of shapes.

  Geometry in Tessellations
  Symmetry in Tessellations
  Visual Patterns in Tessellations
  Introduction to Fractals: Infinity, Self-Similarity and Recursion
  Geometric Fractals
  Fractals and the Chaos Game
  Properties of Fractals
  Chaos
  Pascal's Triangle
  Irregular Fractals
  The Mandelbrot Set
  

• The student measures angles, weights, capacities, times, and temperatures using appropriate units.

• The student chooses appropriate units of measure and converts with ease between like units (such as inches and miles) in the customary or metric system.

• The student reasons proportionally in situations with similar figures.

• The student reasons proportionally with measurements to interpret maps and to make smaller and larger scale drawings.

• The students models situations geometrically to formulate and solve problems.

NOTES

Students are not required to convert between metric and customary units at this time.