Ohio Resource Center
 Toothpicks and Transformations: Quadratic FunctionsORC# 128Resource InformationResource Type: LessonsDiscipline: MathematicsGrades: Grades 9–11Professional 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....MORE...
 NAEP Assessment Item, Grade 12: Find the Roots of an EquationORC# 2067Resource InformationResource Type: AssessmentsDiscipline: MathematicsGrades: Grades 8–12Professional Commentary: Students must solve a quadratic equation whose roots are irrational. This constructed-response question is a sample test item used in grade 12 in the 1990 National Assessment of Educational Progress (see About NAEP)....MORE...
 Understanding Algebraic Factoring ORC# 2388Resource InformationResource URL: http://mathforum.org/alejandre/algfac.htmlResource Type: Content Supports -- Activities and rich problemsDiscipline: MathematicsGrades: Grades 7–12Professional 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....MORE...
 Complex Numbers ORC# 2571Resource InformationResource URL: http://www.math.hmc.edu/calculus/tutorials/complex/Resource Type: Content Supports -- Reference materialsDiscipline: MathematicsGrades: Grades 11–PostsecondaryProfessional Commentary: This online tutorial discusses the standard and polar forms for complex numbers and the basic operations in each system. Euler's Equation presents the link between the two representations....MORE...
 ODE Assessment Item, Grade 8: Finding Zeros From a GraphORC# 5372Resource InformationResource Type: AssessmentsDiscipline: MathematicsGrades: Grades 8–9Professional 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)....MORE...
 ODE Assessment Item, Grade 10: Identify Graph of Quadratic FunctionORC# 5431Resource InformationResource Type: AssessmentsDiscipline: MathematicsGrades: Grades 8–10Professional 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)....MORE...
 ODE Assessment Item, Grade 10: Identify Equation That Represents a Table of ValuesORC# 5457Resource InformationResource Type: AssessmentsDiscipline: MathematicsGrades: Grades 8–10Professional 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)....MORE...
 Quadratic FunctionsORC# 5822Resource InformationResource Type: Content SupportsDiscipline: MathematicsGrades: Grades 9–11Professional Commentary: Students use quadratic functions to describe the relationship of the height of a football thrown in a parabolic path to its distance from the goal line. Working with graphing calculators, students collect and organize data, make a scatterplot, fit a curve to the appropriate parent function, and interpret the results. Discussion questions, an activity sheet, an extension...MORE...
 Hanging ChainsORC# 7715Resource InformationResource Type: LessonsDiscipline: MathematicsGrades: Grades 9–12Professional 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....MORE...
 Number Sets, Infinity, and Zero: Numbers and Operations Session 2ORC# 9100Resource InformationResource Type: Content SupportsDiscipline: MathematicsGrades: Grades 8–PostsecondaryProfessional Commentary: In this set of lessons, students analyze the number line and the relationships among the different sets of numbers in the real number system. Activities help students understand different sizes of infinity, the unique qualities of zero, the behavior of a positional number system, the behavior of zero in multiplication and division, and the role of...MORE...
 Dave's Short Course on Complex NumbersORC# 9853Resource InformationResource URL: http://www.clarku.edu/~djoyce/complex/Resource Type: Content SupportsDiscipline: MathematicsGrades: Grades 11–PostsecondaryProfessional Commentary: The short course covers the history as well as the mathematics of complex numbers. The development of the imaginary unit i and the proof of the Fundamental Theorem of Algebra are followed by explorations of the complex plane....MORE...
 A Clever Method for Factoring TrinomialsORC# 10128Resource InformationResource Type: Content Supports -- Activities and rich problemsDiscipline: MathematicsGrades: Grades 8–12Professional Commentary: Here is an extension of some basic factoring methods. Although factoring has been lessened in importance in recent years, it is extremely helpful in maintaining algebraic skills and extending logical thinking and problem-solving skills....MORE...
 Fireworks: The Localized Big BangORC# 10144Resource InformationResource Type: Content Supports -- Activities and rich problemsDiscipline: MathematicsGrades: Grades 9–12Professional 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....MORE...
 Maximizing Profits on Donut Sales ORC# 10177Resource InformationResource Type: Content Supports -- Activities and rich problemsDiscipline: MathematicsGrades: Grades 9–12Professional Commentary: Students determine a plan to maximize profit on a donut sale using data provided. The parabolic graphs of selling price vs....MORE...