Ohio Resource Center

# Ohio's Academic Content Standards in Mathematics

## Benchmark Resources

 Results 1 - 10 of 11: Return to Benchmarks Ohio Standard: Mathematical Processes StandardBenchmark: (Grades: 11-12) H. Use formal mathematical language and notation to represent ideas, to demonstrate relationships within and among representation systems, and to formulate generalizations.
View Results: 1-10 | 11-11
1
Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body
ORC# 567
Resource Information
Resource Type: Lessons
Discipline: Mathematics, Science
Professional Commentary: This three-part activity illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body. The activity is adapted from High School Mathematics at Work, a publication from the National Research Council....
2
Shedding Light on the Subject
ORC# 400
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: In this 4-lesson unit students develop and analyze exponential models for the behavior of light passing through water. Students begin by considering how light intensity changes from near the surface to the bottom of the ocean....
3
Whelk-Come to Mathematics
ORC# 399
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: In this investigation students explore the possible reasons behind the observation that northwestern crows consistently drop a type of mollusk called a whelk from a height of 5 meters to break its shell. Students are given activity sheets and a graphics calculator....
4
Stressed to the Breaking Point: Multiple-Variable Functions
ORC# 125
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: How does the amount of weight that can be supported by a spaghetti bridge relate to the width (number of spaghetti strands) and the length of a bridge? Students gather data comparing the amount of weight that can be supported, the number of strands of spaghetti used, and the length of the bridge....
5
Pennies, Pressure, Temperature, and Light: Inverse Functions
ORC# 116
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: The major goal of this lesson is to collect data from a variety of experiments, determine what type of model best fits the data, and explain why. Students explore a variety of relationships using pennies, pressure, temperature, light, and pendulums to determine the algebraic equation that best represents the pattern modeled by the variables involved in...
6
Shrinking Candles, Running Water, Folding Boxes
ORC# 1096
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: This multi-day activity has students look for functions within a given set of data. After analyzing patterns in the data, students should be able to determine the type of function that best represents the data....
7
Modeling Orbital Debris Problems
ORC# 1095
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Professional Commentary: In this week-long unit, students examine the problem of space pollution caused by human-made debris in orbit to develop an understanding of functions and modeling. The unit provides students an opportunity to use spreadsheets, graphing calculators, and computer graphing utilities....
8
Powerful Calculators Throw Teachers a New Curve
ORC# 2417
Resource Information
Resource Type: Professional Resources
Discipline: Mathematics
Professional Commentary: Graphing calculators are sophisticated devices that can run small computer programs and draw the graph represented by complex equations in an instant. In the last few years, they have become mandatory in many high school mathematics classes and can be used on the SAT and advanced placement exams and other standardized tests....
9
Volumes Mathematically
ORC# 9750
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics