Ohio Resource Center
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ODE Assessment Item, Grade 8: Finding Zeros From a Graph
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ORC# 5372
Resource Information
Resource Type: Assessments
Discipline: Mathematics
Grades: Grades 8–9
Professional Commentary: Students must find the zeros of a quadratic equation, given its graph. This multiple-choice question is a sample item used in the 2005 Ohio Grade 8 Achievement Test (see Overview of Ohio's Assessment System)....
Toothpicks and Transformations: Quadratic Functions
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ORC# 128
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–11
Professional Commentary: How many toothpicks does it take to make an n x n square composed of 1 x 1 squares? The lesson begins with a review of transformations of quadratic functions--vertical and horizontal shifts, and stretches and shrinks....
ODE Assessment Item, Grade 10: Identify Graph of Quadratic Function
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ORC# 5431
Resource Information
Resource Type: Assessments
Discipline: Mathematics
Grades: Grades 8–10
Professional Commentary: Students must identify the graph of a quadratic equation. This multiple-choice question is a sample item used in the 2005 Ohio Graduation Test (see Overview of Ohio's Assessment System)....
ODE Assessment Item, Grade 10: Identify Equation That Represents a Table of Values
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ORC# 5457
Resource Information
Resource Type: Assessments
Discipline: Mathematics
Grades: Grades 8–10
Professional Commentary: Students must select the equation that represents the relationship between values for x and y shown in a table. This multiple-choice question is a sample item used in the 2004 Ohio Graduation Test (see Overview of Ohio's Assessment System)....
Hanging Chains
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ORC# 7715
Resource Information
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Both ends of a small chain are attached to a board with a grid on it to form a catenary curve, similar to a parabola. Students choose three points along the curve and use them to identify an equation....
Understanding Algebraic Factoring
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ORC# 2388
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 7–12
Professional Commentary: Algebra tiles are used to show the square of a + b, the square of a - b, and the product of a + b and a - b. The explanations are step-by-step and easy to follow....
Fireworks: The Localized Big Bang
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ORC# 10144
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Commercial fireworks must be carefully timed to ignite as intended. The process involves projectile motion that can be modeled with the quadratic function (ignoring air resistance), as found in the study of dynamics in physics: h = –16t2 + v0t + h0....
Maximizing Profits on Donut Sales
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ORC# 10177
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students determine a plan to maximize profit on a donut sale using data provided. The parabolic graphs of selling price vs....
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