Ohio Resource Center

# Ohio's Academic Content Standards in Mathematics

## Benchmark Resources

 Results 1 - 5 of 5: Return to Benchmarks Ohio Standard: Mathematical Processes StandardBenchmark: (Grades: 11-12) B. Construct logical verifications or counter-examples to test conjectures and to justify or refute algorithms and solutions to problems.
1
Circle Packing 2: Soda Rack
ORC# 7610
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: In this second lesson (in a unit of three), students consider the arrangement of soda cans placed in a bin with two vertical sides, discover an interesting result, and prove that the result is true. This lesson utilizes an on-site applet....
2
Squares Inside Squares: Sequences
ORC# 123
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: Students investigate the pattern determined by the areas of squares inscribed in squares formed by joining the midpoints of the sides of the previous square. The sequence generated is a simple geometric sequence....
3
Red and Blue Points
ORC# 10180
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: We assume that all the points in the plane have been colored either red or blue. It is then required, without knowing anything further about the distribution of the colors, that we find: (a) a line segment whose endpoints and midpoint are the same color, (b) three points of the same color that determine a right...
4
Sums of Consecutive Whole Numbers: A Number Series Investigation
ORC# 10175
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics