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## Ohio Math Standards - 6th Grade

MathScore aligns to the Ohio Math Standards for 6th 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.

View the Ohio Math Standards at other levels.

## Number and Number Systems

* Describe what it means to find a specific percent of a number, using real-life examples. (Percentage Change , Purchases At Stores , Restaurant Bills , Commissions )
* Use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100. (Proportions 1 , Ratios )
* Find and use the prime factorization of composite numbers. For example: (Prime Factoring )
- Use the prime factorization to recognize the greatest common factor (GCF). (Greatest Common Factor )
- Use the prime factorization to recognize the least common multiple (LCM). (Least Common Multiple )
- Apply the prime factorization to solve problems and explain solutions. (Prime Factoring 2 )

## Meaning of Operations

* Give examples of how ratios are used to represent comparisons; e.g., part-to-part, part-to-whole, whole-to-part. (Ratios )
* Use the order of operations, including the use of exponents, decimals and rational numbers, to simplify numerical expressions. (Using Parentheses , Order Of Operations , Exponent Rules For Fractions )
* Use simple expressions involving integers to represent and solve problems; e.g., if a running back loses 15 yards on the first carry but gains 8 yards on the second carry, what is the net gain/loss? (Integers In Word Problems )

## Computation and Estimation

* Develop and analyze algorithms for computing with fractions and decimals, and demonstrate fluency in their use.
* Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning. (Money Multiplication , Money Division , Fraction Simplification , Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division )
* Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions. (Proportions 2 )
* Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was \$140, and the sale price is \$100. (Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity )

## Use Measurement Techniques and Tools

* Estimate perimeter or circumference and area for circles, triangles and quadrilaterals, and surface area and volume for prisms and cylinders by:
- estimating lengths using string or links, areas using tiles or grid, and volumes using cubes;
- measuring attributes (diameter, side lengths, or heights) and using established formulas for circles, triangles, rectangles, parallelograms and rectangular prisms. (Circle Measurements , Triangle Area , Triangle Area 2 , Parallelogram Area , Perimeter , Rectangular Solids , Rectangular Solids 2 , Circle Area , Circle Circumference , Triangular Prisms , Cylinders )
* Determine which measure (perimeter, area, surface area, volume) matches the context for a problem situation; e.g., perimeter is the context for fencing a garden, surface area is the context for painting a room. (Perimeter and Area Word Problems )
* Describe what happens to the perimeter and area of a two-dimensional shape when the measurements of the shape are changed; e.g. length of sides are doubled. (Area And Volume Proportions )
* Understand the difference between perimeter and area, and demonstrate that two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters. (Compare Rectangle Area and Perimeter )

## Measurement Units

* Understand and describe the difference between surface area and volume.

## Characteristics and Properties

* Classify and describe two-dimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides.
* Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse, and other vocabulary as appropriate.
* Identify and define relationships between planes; i.e., parallel, perpendicular and intersecting.
* Use multiple classification criteria to classify triangles; e.g., right scalene triangle.

## Transformations and Symmetry

* Draw similar figures that model proportional relationships; e.g., model similar figures with a 1 to 2 relationship by sketching two of the same figure, one with corresponding sides twice the length of the other.

## Spatial Relationships

* Predict and describe sizes, positions and orientations of two-dimensional shapes after transformations such as reflections, rotations, translations and dilations. (Translations and Reflections )

## Visualization and Geometric Models

* Build three-dimensional objects with cubes, and sketch the two-dimensional representations of each side; i.e., projection sets. (Requires outside materials )

## Use Patterns, Relations and Functions

* Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.
* Use words and symbols to describe numerical and geometric patterns, rules and functions. (Function Tables , Function Tables 2 )

## Use Algebraic Representations

* Produce and interpret graphs that represent the relationship between two variables.
* Evaluate simple expressions by replacing variables with given values, and use formulas in problem-solving situations. (Variable Substitution )
* Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs. (Linear Equations , Single Variable Equations , Single Variable Inequalities , Number Line Inequalities )

## Analyze Change

* Identify and describe situations with constant or varying rates of change, and compare them.
* Use technology to analyze change; e.g., use computer applications or graphing calculators to display and interpret rate of change.

## Data Collection

* Read, construct and interpret line graphs, circle graphs and histograms. (Line Graphs )
* Compare representations of the same data in different types of graphs, such as a bar graph and circle graph.
* Select, create and use graphical representations that are appropriate for the type of data collected.

## Statistical Methods

* Describe the frequency distribution of a set of data, as shown in a histogram or frequency table, by general appearance or shape; e.g., number of modes, middle of data, level of symmetry, outliers.
* Understand the different information provided by measures of center (mean, mode and median) and measures of spread (range). (Mean, Median, Mode )
* Make logical inferences from statistical data.

## Probability

* Design an experiment to test a theoretical probability and explain how the results may vary.