Benchmark 11C: Common Themes - Constancy and Change

• Some features of things may stay the same even when other features change. Some patterns look the same when they are shifted over, or turned, or reflected or seen form different directions. (1 of 2)
• Standard 3-4 page 29, Grades K-4
Use patterns and relationships to analyze mathematical situations

Standard 4-3 page 32, Grades K-4
Recognize relationships among different topics in mathematics

Standard 9-2 page 48, Grades K-4
Investigate and predict the results of combining, subdividing, and changing shapes

Standard 8-1, page 98, Grades 5-8
Describe, extend, and create a wide variety of patterns

Standard 12-3, page 112, Grades 5-8
Explore transformations of geometric figures

• Things change in steady, repetitive, or irregular ways or sometimes in more than one way at the same time. Often the best way to tell which kinds of change are happening is to make a table or graph of measurements. (2 of 2)
• Standard 3-4 page 29, Grades K-4
Use patterns and relationships to analyze mathematical situations

Standard 8-2, page 98, Grades 5-8
Describe and represent relationships with tables, graphs, and rules

Standard 9-3, page 102, Grades 5-8
Develop confidence in solving linear equations using concrete, informal, and formal methods

Standard 9-6, page 102, Grades 5-8
Apply algebraic methods to solve a variety of real-world and mathematical problems