Benchmark
9C: The Mathematical World - Shapes
(grades 6-8, page 224)
Some shapes have special properties: Triangular shapes tend to make structures
rigid, and found shapes give the least possible boundary for a given amount
of interior area. Shapes can match exactly or have the same shape in different
sizes. (1 of 6)
Standard 12-5, page 112, Grades 5-8
Understand and apply geometric properties and relationships
Lines can be parallel, perpendicular, or oblique. (2 of 6)
Standard 12-5, page 112, Grades 5-8
Understand and apply geometric properties and relationships
Shapes on a sphere like the earth cannot be depicted on a flat surface
without distortion. (3 of 6)
Standard 12-6, page 112, Grades 5-8
Develop an appreciation of geometry as a means of describing the physical
world
Standard 8-3 page 161, Grades 9-12
Identify congruent and similar figures using transformations
The graphic display of numbers may help to show patterns such as trends,
varying rates of change, gaps, or clusters. Such patterns sometimes can
be used to make predictions about the phenomena being graphed. (4 of 6)
Standard 10-3, page 105, Grades 5-8
Make inferences and convincing arguments that are based on data analysis
It takes two numbers to locate a point on a map or any other flat surface.
The numbers may be two perpendicular distances from a point, or an angle
and a distance from a point. (5 of 6)
Standard 5-5, page 87, Grades 5-8
Represent numerical relationships in one- and two-dimensional graphs
Standard 8-1 page 161, Grades 9-12
Translate between synthetic and coordinate representations
Standard 8-4 page 161, Grades 9-12
Analyze properties of Euclidean transformations and relate translations
to vectors and similar figures using transformations
The scale chosen for a graph or drawing makes a big difference in how useful
it is. (6 of 6)
Standard 5-5, page 87, Grades 5-8
Represent numerical relationships in one- and two-dimensional graphs
