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Ohio Math Standards - 7th Grade

MathScore aligns to the Ohio Math Standards for 7th 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

* Demonstrate an understanding of place value using powers of 10 and write large numbers in scientific notation. (Place Value , Decimal Place Value , Scientific Notation )
* Describe differences between rational and irrational numbers; e.g., use technology to show that some numbers (rational) can be expressed as terminating or repeating decimals and other (irrational) as non-terminating and non-repeating decimals. (Repeating Decimals )
* Explain the meaning of exponents that are negative or 0. (Exponent Basics , Negative Exponents Of Fractional Bases )

Meaning of Operations

* Use order of operations and properties to simplify numerical expressions involving integers, fractions and decimals. (Order Of Operations )
* Explain the meaning and effect of adding, subtracting, multiplying and dividing integers; e.g., how adding two integers can result in a lesser value. (Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence )

Computation and Estimation

* Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares). (Absolute Value 1 , Absolute Value 2 , Absolute Value Equations , 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 , Roots Of Exponential Expressions )
* Develop and analyze algorithms for computing with percents and integers, and demonstrate fluency in their use. (Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity , Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence )
* Simplify numerical expressions involving integers and use integers to solve real-life problems. (Integers In Word Problems )
* Solve problems using the appropriate form of a rational number (fraction, decimal or percent).

Measurement Units

* Select appropriate units for measuring derived measurements; e.g., miles per hour, revolutions per minute.
* Convert units of area and volume within the same measurement system using proportional reasoning and a reference table when appropriate; e.g., square feet to square yards, cubic meters to cubic centimeters. (Area and Volume Conversions )

Use Measurement Techniques and Tools

* Use strategies to develop formulas for finding area of trapezoids and volume of cylinders and prisms. (Rectangular Solids , Triangular Prisms , Cylinders , Trapezoids )
* Develop strategies to find the area of composite shapes using the areas of triangles, parallelograms, circles and sectors. (Irregular Shape Areas , Perimeter and Area of Composite Figures )
* Estimate a measurement to a greater degree of precision than the tool provides.
* Solve problems involving proportional relationships and scale factors; e.g., scale models that require unit conversions within the same measurement system. (Triangle Angles 2 , Solving For Angles , Proportions 2 )
* Analyze problem situations involving measurement concepts, select appropriate strategies, and use an organized approach to solve narrative and increasingly complex problems.
* Describe what happens to the surface area and volume of a three-dimensional object when the measurements of the object are changed; e.g., length of sides are doubled. (Area And Volume Proportions )
* Understand the difference between surface area and volume and demonstrate that two objects may have the same surface area, but different volumes or may have the same volume, but different surface areas.

Characteristics and Properties

* Determine sufficient (not necessarily minimal) properties that define a specific two-dimensional figure or three-dimensional object. For example:
   - Determine when one set of figures is a subset of another; e.g., all squares are rectangles.
   - Develop a set of properties that eliminates all but the desired figure; e.g., only squares are quadrilaterals with all sides congruent and all angles congruent.
* Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.
* Determine necessary conditions for congruence of triangles. (Congruent And Similar Triangles )
* Use and demonstrate understanding of the properties of triangles. For example:
   - Use Pythagorean Theorem to solve problems involving right triangles. (Pythagorean Theorem )
   - Use triangle angle sum relationships to solve problems. (Triangle Angles , Triangle Angles 2 , Solving For Angles )
* Apply properties of congruent or similar triangles to solve problems involving missing lengths and angle measures. (Proportions 2 )

Spatial Relationships

* Determine and use scale factors for similar figures to solve problems using proportional reasoning. (Proportions 2 )

Transformations and Symmetry

* Identify the line and rotation symmetries of two-dimensional figures to solve problems.
* Perform translations, reflections, rotations and dilations of two-dimensional figures using a variety of methods (paper folding, tracing, graph paper).

Visualization and Geometric Models

* Draw representations of three-dimensional geometric objects from different views.

Use Patterns, Relations and Functions

* Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable expressions. (Function Tables , Function Tables 2 )
* Generalize patterns by describing in words how to find the next term.
* Recognize and explain when numerical patterns are linear or nonlinear progressions; e.g., 1, 3, 5, 7... is linear and 1, 3, 4, 8, 16... is nonlinear. (Patterns: Numbers )

Use Algebraic Representations

* Recognize a variety of uses for variables; e.g., placeholder for an unknown quantity in an equation, generalization for a pattern, formula.
* Represent linear equations by plotting points in the coordinate plane.
* Represent inequalities on a number line or a coordinate plane. (Number Line Inequalities )
* Create visual representations of equation-solving processes that model the use of inverse operations.
* Use formulas in problem-solving situations. (Simple Interest , Compound Interest , Continuous Compound Interest )

Analyze Change

* Analyze linear and simple nonlinear relationships to explain how a change in one variable results in the change of another. (Independent and Dependent Variables )
* Use graphing calculators or computers to analyze change; e.g., distance-time relationships.

Data Collection

* Read, create and interpret box-and-whisker plots, stem-and-leaf plots, and other types of graphs, when appropriate. (Stem And Leaf Plots )
* Analyze how decisions about graphing affect the graphical representation; e.g., scale, size of classes in a histogram, number of categories in a circle graph.

Statistical Methods

* Construct opposing arguments based on analysis of the same data, using different graphical representations.
* Compare data from two or more samples to determine how sample selection can influence results.
* Analyze a set of data by using and comparing combinations of measures of center (mean, mode, median) and measures of spread (range, quartile, interquartile range), and describe how the inclusion or exclusion of outliers affects those measures.
* Identify misuses of statistical data in articles, advertisements, and other media.

Probability

* Compute probabilities of compound events; e.g., multiple coin tosses or multiple rolls of number cubes, using such methods as organized lists, tree diagrams and area models. (Probability 2 , Probability )
* Make predictions based on theoretical probabilities, design and conduct an experiment to test the predictions, compare actual results to predicted results, and explain differences.

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