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Ohio's Academic Content Standards in Mathematics

By the end of grade 11

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Number, Number Sense and Operations Standard
Students demonstrate number sense, including an understanding of number systems and operations and how they relate to one another. Students compute fluently and make reasonable estimates using paper and pencil, technology-supported and mental methods.
Indicators for grade 11
1.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. (ORC Resources)
2.Determine what properties hold for vector addition and multiplication, and for scalar multiplication. (ORC Resources)
3.Represent complex numbers on the complex plane. (ORC Resources)
4.Use matrices to represent given information in a problem situation. (ORC Resources)
5.Model using the coordinate plane, vector addition and scalar multiplication. (ORC Resources)
6.Compute sums, differences and products of matrices using paper and pencil calculations for simple cases, and technology for more complicated cases. (ORC Resources)
7.Compute sums, differences, products and quotients of complex numbers. (ORC Resources)
8.Use fractional and negative exponents as optional ways of representing and finding solutions for problem situations; e.g., 272/3 = (271/3)2 = 9. (ORC Resources)
9.Use vector addition and scalar multiplication to solve problems. (ORC Resources)
  
Measurement Standard
Students estimate and measure to a required degree of accuracy and precision by selecting and using appropriate units, tools, and technologies.
Indicators for grade 11
1.Determine the number of significant digits in a measurement. (ORC Resources)
2.Use radian and degree angle measures to solve problems and perform conversions as needed. (ORC Resources)
3.Derive a formula for the surface area of a cone as a function of its slant height and the circumference of its base. (ORC Resources)
4.Calculate distances, areas, surface areas and volumes of composite three-dimensional objects to a specified number of significant digits. (ORC Resources)
5.Solve real-world problems involving area, surface area, volume and density to a specified degree of precision. (ORC Resources)
  
Geometry and Spatial Sense Standard
Students identify, classify, compare and analyze characteristics, properties and relationships of one-, two- and three-dimensional geometric figures and objects. Students use spatial reasoning, properties of geometric objects, and transformations to analyze mathematical situations and solve problems.
Indicators for grade 11
1.Use polar coordinates to specify locations on a plane. (ORC Resources)
2.Represent translations using vectors. (ORC Resources)
3.Describe multiplication of a vector and a scalar graphically and algebraically, and apply to problem situations. (ORC Resources)
4.Use trigonometric relationships to determine lengths and angle measures; i.e., Law of Sines and Law of Cosines. (ORC Resources)
5.Identify, sketch and classify the cross sections of three-dimensional objects. (ORC Resources)
  
Patterns, Functions and Algebra Standard
Students use patterns, relations and functions to model, represent and analyze problem situations that involve variable quantities. Students analyze, model and solve problems using various representations such as tables, graphs and equations.
Indicators for grade 11
1.Identify and describe problem situations involving an iterative process that can be represented as a recursive function; e.g., compound interest. (ORC Resources)
2.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. (ORC Resources)
3.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. (ORC Resources)
4.Identify the maximum and minimum points of polynomial, rational and trigonometric functions graphically and with technology. (ORC Resources)
5.Identify families of functions with graphs that have rotation symmetry or reflection symmetry about the y-axis, x-axis or y = x. (ORC Resources)
6.Represent the inverse of a function symbolically and graphically as a reflection about y = x. (ORC Resources)
7.Model and solve problems with matrices and vectors. (ORC Resources)
8.Solve equations involving radical expressions and complex roots. (ORC Resources)
9.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). (ORC Resources)
10.Describe the characteristics of the graphs of conic sections. (ORC Resources)
11.Describe how a change in the value of a constant in an exponential, logarithmic or radical equation affects the graph of the equation. (ORC Resources)
  
Data Analysis and Probability Standard
Students pose questions and collect, organize, represent, interpret and analyze data to answer those questions. Students develop and evaluate inferences, predictions and arguments that are based on data.
Indicators for grade 11
1.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. (ORC Resources)
2.Describe the role of randomization in a well-designed study, especially as compared to a convenience sample, and the generalization of results from each. (ORC Resources)
3.Describe how a linear transformation of univariate data affects range, mean, mode, and median. (ORC Resources)
4.Create a scatterplot of bivariate data, identify trends, and find a function to model the data. (ORC Resources)
5.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. (ORC Resources)
6.Use technology to compute the standard deviation for a set of data, and interpret standard deviation in relation to the context or problem situation. (ORC Resources)
7.Describe the standard normal curve and its general properties, and answer questions dealing with data assumed to be normal. (ORC Resources)
8.Analyze and interpret univariate and bivariate data to identify patterns, note trends, draw conclusions, and make predictions. (ORC Resources)
9.Evaluate validity of results of a study based on characteristics of the study design, including sampling method, summary statistics and data analysis techniques. (ORC Resources)
10.Understand and use the concept of random variable, and compute and interpret the expected value for a random variable in simple cases. (ORC Resources)
11.Examine statements and decisions involving risk; e.g., insurance rates and medical decisions. (ORC Resources)