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Ohio: Grade Ten Indicators

This content correlation lists the recommended Gizmos for the above state curriculum standard.

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Correlation by State

Ohio: Grade Ten Indicators

Number, Number Sense and Operations Standard

1. Connect physical, verbal and symbolic representations of irrational numbers; e.g., construct Sqrt(2) as a hypotenuse or on a number line.

2. Explain the meaning of the nth root.

3. Use factorial notation and computations to represent and solve problem situations involving arrangements.

4. Approximate the nth root of a given number greater than zero between consecutive integers when n is an integer; e.g., the 4th root of 50 is between 2 and 3.

Measurement Standard

5. Determine the measures of central and inscribed angles and their associated major and minor arcs.

Geometry and Spatial Sense Standard

2. Recognize and explain the necessity for certain terms to remain undefined, such as point, line and plane.

4. Construct right triangles, equilateral triangles, parallelograms, trapezoids, rectangles, rhombuses, squares and kites, using compass and straightedge or dynamic geometry software.

5. Construct congruent figures and similar figures using tools, such as compass, straightedge, and protractor or dynamic geometry software.

6. Identify the reflection and rotation symmetries of two- and threedimensional figures.

7. Perform reflections and rotations using compass and straightedge constructions and dynamic geometry software.

8. Derive coordinate rules for translations, reflections and rotations of geometric figures in the coordinate plane.

9. 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.

10. Solve problems involving chords, radii and arcs within the same circle.

Patterns, Functions and Algebra Standard

1. Define function formally and with f(x) notation.

2. 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.

3. Solve equations and formulas for a specified variable; e.g., express the base of a triangle in terms of the area and height.

4. Use algebraic representations and functions to describe and generalize geometric properties and relationships.

5. Solve simple linear and nonlinear equations and inequalities having square roots as coefficients and solutions.

6. Solve equations and inequalities having rational expressions as coefficients and solutions.

7. Solve systems of linear inequalities.

8. Graph the quadratic relationship that defines circles.

9. Recognize and explain that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals.

10. Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.

11. Solve real-world problems that can be modeled, using systems of linear equations and inequalities.

12. Describe the relationship between slope of a line through the origin and the tangent function of the angle created by the line and the positive x-axis.

Data Analysis and Probability Standard

1. Describe measures of center and the range verbally, graphically and algebraically.

2. Represent and analyze bivariate data using appropriate graphical displays (scatterplots, parallel box-and-whisker plots, histograms with more than one set of data, tables, charts, spreadsheets) with and without technology.

3. Display bivariate data where at least one variable is categorical.

4. Identify outliers on a data display; e.g., use interquartile range to identify outliers on a box-and-whisker plot.

6. 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.

7. Model problems dealing with uncertainty with area models (geometric probability).