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Ohio Math Standards - 9th Grade
MathScore aligns to the Ohio Math Standards for 9th 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
* Identify and justify whether properties (closure, identity, inverse, commutative and associative) hold for a given set and operations; e.g., even integers and multiplication.* Compare, order and determine equivalent forms for rational and irrational numbers. (Compare Mixed Values , Compare Mixed Values 2 , Positive Number Line , Number Line , Fractions to Decimals , Decimals To Fractions )
Meaning of Operations
* Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities. (Roots Of Exponential Expressions )Computation and Estimation
* Demonstrate fluency in computations using real numbers. (Many topics align to this standard)* Estimate the solutions for problem situations involving square and cube roots. (Estimating Square Roots )
Measurement Units
* Convert rates within the same measurement system; e.g., miles per hour to feet per second; kilometers per hour to meters per second.Use Measurement Techniques and Tools
* Use unit analysis to check computations involving measurement.* Use the ratio of lengths in similar two-dimensional figures or three-dimensional objects to calculate the ratio of their areas or volumes respectively. (Area And Volume Proportions )
* Use scale drawings and right triangle trigonometry to solve problems that include unknown distances and angle measures.
* Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system. (Train Problems )
Visualization and Geometric Models
* Analyze two-dimensional figures in a coordinate plane; e.g., use slope and distance formulas to show that a quadrilateral is a parallelogram.Characteristics and Properties
* Define the basic trigonometric ratios in right triangles: sine, cosine and tangent.* Apply proportions and right triangle trigonometric ratios to solve problems involving missing lengths and angle measures in similar figures. (Proportions 2 )
Use Patterns, Relations and Functions
* Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations. (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Nonlinear Functions )* Define function with ordered pairs in which each domain element is assigned exactly one range element.
* Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. (Algebraic Sentences 2 , Algebraic Sentences )
* Demonstrate the relationship among zeros of a function, roots of equations, and solutions of equations graphically and in words. (Quadratic X-Intercepts , Quadratic Zero Equations , Quadratic Formula )
* Describe and compare characteristics of the following families of functions: linear, quadratic and exponential functions; e.g., general shape, number of roots, domain, range, rate of change, maximum or minimum. (Nonlinear Functions , Domain and Range )
Use Algebraic Representations
* Use formulas to solve problems involving exponential growth and decay.* Add, subtract, multiply and divide monomials and polynomials (division of polynomials by monomials only). (Distributive Property , Distributive Property 2 , Foil Method , Trinomial Factoring , Binomial Fraction Simplification , Polynomial Fraction Simplification )
* Simplify rational expressions by eliminating common factors and applying properties of integer exponents. (Simplifying Algebraic Expressions 2 , Simplifying Algebraic Expressions , Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions )
* Write and use equivalent forms of equations and inequalities in problem situations; e.g., changing a linear equation to the slope-intercept form. (Graphs to Linear Equations 2 )
* Find linear equations that represent lines that pass through a given set of ordered pairs, and find linear equations that represent lines parallel or perpendicular to a given line through a specific point. (Applied Linear Equations 1 , Applied Linear Equations 2 )
* Solve quadratic equations with real roots by factoring, graphing, using the quadratic formula and with technology. (Quadratic Zero Equations , Quadratic Formula , Quadratic X-Intercepts , Integer Word Problems )
* Solve and interpret the meaning of 2 by 2 systems of linear equations graphically, by substitution and by elimination, with and without technology. (System of Equations Substitution , System of Equations Addition )
Analyze Change
* Model and solve problems involving direct and inverse variation using proportional reasoning.* Describe the relationship between slope and the graph of a direct variation and inverse variation.
* Describe how a change in the value of a constant in a linear or quadratic equation affects the related graphs.
Data Collection
* Classify data as univariate (single variable) or bivariate (two variables) and as quantitative (measurement) or qualitative (categorical) data.* Create a scatterplot for a set of bivariate data, sketch the line of best fit, and interpret the slope of the line of best fit.
Statistical Methods
* Analyze and interpret frequency distributions based on spread, symmetry, skewness, clusters and outliers.* Describe and compare various types of studies (survey, observation, experiment), and identify possible misuses of statistical data.
* Make inferences about relationships in bivariate data, and recognize the difference between evidence of relationship (correlation) and causation.
* Describe characteristics and limitations of sampling methods, and analyze the effects of random versus biased sampling; e.g., determine and justify whether the sample is likely to be representative of the population.
Probability
* Use counting techniques and the Fundamental Counting principle to determine the total number of possible outcomes for mathematical situations.* Identify situations involving independent and dependent events, and explain differences between, and common misconceptions about probabilities associated with those events. (Object Picking Probability )
* Use theoretical and experimental probability, including simulations or random numbers, to estimate probabilities and to solve problems dealing with uncertainty; e.g., compound events, independent events, simple dependent events. (Probability 2 , Probability , Object Picking Probability )
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