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Ohio Math Standards - 11th Grade
MathScore aligns to the Ohio Math Standards for 11th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Ohio Math Standards at other levels.
Number and Number Systems
* Determine what properties hold for matrix addition and matrix multiplication; e.g., use examples to show addition is commutative and when multiplication is not commutative.* Determine what properties hold for vector addition and multiplication, and for scalar multiplication.
* Represent complex numbers on the complex plane.
Meaning of Operations
* Model, using the coordinate plane, vector addition and scalar multiplication.* Use matrices to represent given information in a problem situation.
Computation and Estimation
* Compute sums, differences and products of matrices using paper and pencil calculations for simple cases, and technology for more complicated cases.* Use vector addition and scalar multiplication to solve problems.
* Compute sums, differences, products and quotients of complex numbers.
Measurement Units
* Determine the number of significant digits in a measurement.* Use radian and degree angle measures to solve problems and perform conversions as needed.
Use Measurement Techniques and Tools
* Derive a formula for the surface area of a cone as a function of its slant height and the circumference of its base.* Calculate distances, areas, surface areas and volumes of composite three-dimensional objects to a specified number of significant digits.
* Solve real-world problems involving area, surface area, volume and density to a specified degree of precision.
Transformations and Symmetry
* Use trigonometric relationships to determine lengths and angle measures; i.e., Law of Sines and Law of Cosines.* Represent translations using vectors.
* Describe multiplication of a vector and a scalar graphically and algebraically, and apply to problem situations.
Spatial Relationships
* Use polar coordinates to specify locations on a plane.Visualization and Geometric Models
* Identify, sketch and classify the cross sections of three-dimensional objects.Use Patterns, Relations and Functions
* Describe and compare the characteristics of the following families of functions: quadratics with complex roots, polynomials of any degree, logarithms, and rational functions; e.g., general shape, number of roots, domain and range, asymptotic behavior. (Domain and Range )* Identify the maximum and minimum points of polynomial, rational and trigonometric functions graphically and with technology.
* Identify and describe problem situations involving an iterative process that can be represented as a recursive function; e.g., compound interest.
* Translate a recursive function into a closed form expression or formula for the nth term to solve a problem situation involving an iterative process; e.g., find the value of an annuity after 7 years.
Use Algebraic Representations
* Describe the characteristics of the graphs of conic sections.* Solve equations involving radical expressions and complex roots.
* Model and solve problems with matrices and vectors.
* Solve 3 by 3 systems of linear equations by elimination and using technology, and interpret graphically what the solution means (a point, line, plane, or no solution).
Analyze Change
* Describe how a change in the value of a constant in an exponential, logarithmic or radical equation affects the graph of the equation.Statistical Methods
* Create a scatterplot of bivariate data, identify trends, and find a function to model the data.* Use technology to find the Least Squares Regression Line, the regression coefficient, and the correlation coefficient for bivariate data with a linear trend, and interpret each of these statistics in the context of the problem situation.
* Describe the standard normal curve and its general properties, and answer questions dealing with data assumed to be normal.
* Analyze and interpret univariate and bivariate data to identify patterns, note trends, draw conclusions, and make predictions.
* Describe how a linear transformation of univariate data affects range, mean, mode, and median.
* Use technology to compute the standard deviation for a set of data, and interpret standard deviation in relation to the context or problem situation.
* Evaluate validity of results of a study based on characteristics of the study design, including sampling method, summary statistics and data analysis techniques.
Probability
* Understand and use the concept of random variable, and compute and interpret the expected value for a random variable in simple cases.* Examine statements and decisions involving risk; e.g., insurance rates and medical decisions.
Data Collection
* Design a statistical experiment, survey or study for a problem; collect data for the problem; and interpret the data with appropriate graphical displays, descriptive statistics, concepts of variability, causation, correlation and standard deviation.* Describe the role of randomization in a well-designed study, especially as compared to a convenience sample, and the generalization of results from each.
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