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Ohio Math Standards - 10th Grade
MathScore aligns to the Ohio Math Standards for 10th 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.
Use Measurement Techniques and Tools
* Explain how a small error in measurement may lead to a large error in calculated results.* Calculate relative error.
* Explain the difference between absolute error and relative error in measurement.
* Give examples of how the same absolute error can be problematic in one situation but not in another; e.g., compare "accurate to the nearest foot" when measuring the height of a person versus when measuring the height of a mountain.
* Determine the measures of central and inscribed angles and their associated major and minor arcs.
Characteristics and Properties
* Formally define and explain key aspects of geometric figures, including:- interior and exterior angles of polygons;
- segments related to triangles (median, altitude, midsegment);
- points of concurrency related to triangles (centroid, incenter, orthocenter, and circumcenter);
- circles (radius, diameter, chord, circumference, major arc, minor arc, sector, segment, inscribed angle).
* Recognize and explain the necessity for certain terms to remain undefined, such as point, line and plane.
* Make, test and establish the validity of conjectures about geometric properties and relationships using counterexample, inductive and deductive reasoning, and paragraph or two-column proof, including:
- prove the Pythagorean Theorem;
- prove theorems involving triangle similarity and congruence;
- prove theorems involving properties of lines, angles, triangles and quadrilaterals;
- test a conjecture using basic constructions made with a compass and straightedge or technology.
Transformations and Symmetry
* Identify the reflection and rotation symmetries of two- and three-dimensional figures.* Perform reflections and rotations using compass and straightedge constructions and dynamic geometry software.
* Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane. (Translations and Reflections )
* Show and describe the results of combinations of translations, reflections and rotations (compositions); e.g., perform compositions and specify the result of a composition as the outcome of a single motion, when applicable. (Translations and Reflections )
Visualization and Geometric Models
* Solve problems involving chords, radii, and arcs within the same circle.Spatial Relationships
* Construct right triangles, equilateral triangles, parallelograms, trapezoids, rectangles, rhombuses, squares and kites, using compass and straightedge or dynamic geometry software.* Construct congruent or similar figures using tools, such as compass, straightedge, and protractor or dynamic geometry software.
Use Patterns, Relations and Functions
* Describe and compare characteristics of the following families of functions: square root, cubic, absolute value and basic trigonometric functions; e.g., general shape, possible number of roots, domain and range. (Domain and Range )Use Algebraic Representations
* Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height. (Triangle Area 2 , Rectangular Solids 2 , Two Variable Equations )* Use algebraic representations and functions to describe and generalize geometric properties and relationships. (Function Tables , Function Tables 2 )
* Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions.
* Solve equations and inequalities having rational expressions as coefficients and solutions.
* Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.
* Graph the quadratic relationship that defines circles.
* Solve systems of linear inequalities.
* Solve real-world problems that can be modeled, using systems of linear equations and inequalities. (Age Problems )
* Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals. (Applied Linear Equations 1 , Applied Linear Equations 2 )
Data Collection
* Describe measures of center and the range verbally, graphically and algebraically.Statistical Methods
* Interpret the relationship between two variables using multiple graphical displays and statistical measures; e.g., scatterplots, parallel box-and-whisker plots, and measures of center and spread.* Provide examples and explain how a statistic may or may not be an attribute of the entire population; e.g., intentional or unintentional bias may be present.
Probability
* Model problems dealing with uncertainty with area models (geometric probability).* Differentiate and explain the relationship between the probability of an event and the odds of an event, and compute one given the other. (Probability , Probability 2 )
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