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Ohio's Academic Content Standards in Mathematics

Benchmark Resources

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Ohio Standard: Mathematical Processes Standard
Benchmark: (Grades: 11-12) A. Construct algorithms for multi-step and non-routine problems.
1
Latisha Develops an Investment Plan
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ORC# 3608
Resource Information
Resource URL: http://www.hsor.org/modules.cfm?name=Latisha_Develops_an_Investm...
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students are introduced to integer programming through practical problems in which they formulate decisions using 0-1 variables, by entering these integer variables into a decision matrix in a spreadsheet and manipulating the spreadsheet to evaluate alternative decision combinations. Activity sheets guide students step by step through the basic process....
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2
Finding Satisfactory Solutions
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ORC# 1496
Resource Information
Resource URL: http://sciencenetlinks.com/lessons/finding-satisfactory-solution...
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 6–8
Professional Commentary: In this activity, students decide where to locate ice cream stands in a town so that no one has to travel too far to buy a treat. The problem-solving strategies for this problem give students a chance to grapple with the notion of proof and to decide what makes a solution satisfactory....
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3
Speedy Delivery: Service Woes
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ORC# 1212
Resource Information
Resource URL: http://www.hsor.org/modules.cfm?name=Speedy_Delivery
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students explore several variations of the traveling salesman problem: What is the shortest path through a network that will hit all nodes and return to the starting point? Activity sheets guide students through a shortest path algorithm to find the best route for a delivery company driver to follow....
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4
Outel Semiconductor: Recruiting Circuit
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ORC# 1213
Resource Information
Resource URL: http://www.hsor.org/modules.cfm?name=Outel_Semiconductor
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students explore a variation of the traveling salesman problem based on cost: What is the cheapest path through a network that will hit all nodes and return to the starting point? Activity sheets guide students through a brute-force approach and then a nearest-neighbor algorithm to find the cheapest route for a college recruiter to follow in...
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5
Sums of Consecutive Whole Numbers: A Number Series Investigation
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ORC# 10175
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=60
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: Students investigate sums of consecutive whole numbers with the aim of answering these questions: Can any whole number greater than 2 be written as a sum of consecutive whole numbers? If not, which can (cannot)?...
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6
Tower of Hanoi
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ORC# 13833
Resource Information
Resource URL: http://illuminations.nctm.org/ActivityDetail.aspx?ID=40
Resource Type: Content Supports
Discipline: Mathematics
Grades: Grades 3–12
Professional Commentary: The site contains a virtual Tower of Hanoi puzzle. The puzzle, invented by the French mathematician Edouard Lucas in 1883, traditionally begins with eight disks stacked in increasing size on one of three pegs....
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7
Trigonometry for Solving Problems
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ORC# 1111
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L383
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 10–12
Professional Commentary: These activities can enhance students' appreciation for trigonometry as a tool in problem solving. Students should be familiar with trigonometric functions and their values for special angles....
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