Ohio Resource Center

# Ohio's Academic Content Standards in Mathematics

## Benchmark Resources

 Results 1 - 6 of 6: Return to Benchmarks Ohio Standard: Mathematical Processes StandardBenchmark: (Grades: 11-12) E. Evaluate a mathematical argument and use reasoning and logic to judge its validity.
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
Venn Diagrams and Logic: A Visual Approach to Deductive Reasoning
ORC# 1168
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This lesson focuses on using Venn diagrams to explore direct, indirect, and transitive reasoning. For each activity, students construct arguments based on Venn diagrams, and conversely, create Venn diagrams for a particular argument....
3
Pythagorean Theorem
ORC# 9802
Resource Information
Resource Type: Content Supports -- Reference materials
Discipline: Mathematics
Professional Commentary: This resource offers 72 proofs of the Pythagorean Theorem. Each is well illustrated and most provide links to other sites for further information and/or Java applets to allow for exploration of the proof....
4
Intermediate Value Theorem
ORC# 1236
Resource Information
Resource Type: Content Supports -- Reference materials
Discipline: Mathematics
Professional Commentary: This website poses and solves the classic hiker problem: A hiker starts on a path from the bottom of a mountain at 6:00 a.m. and arrives at the top of the mountain at 6:00 p.m....
5
Fibonacci Nim 2: Static Nim
ORC# 10342
Resource Information
Resource Type: Content Supports
Discipline: Mathematics