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Ohio Math Standards - 4th Grade
MathScore aligns to the Ohio Math Standards for 4th 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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Number and Number Systems
* Use place value structure of the base-ten number system to read, write, represent and compare whole numbers through millions and decimals through thousandths. (Place Value , Decimal Place Value , Number Comparison , Order Numbers , Order Large Numbers , Order Decimals , Compare Decimals )* Round whole numbers to a given place value. (Rounding Numbers , Rounding Large Numbers )
* Identify and generate equivalent forms of fractions and decimals. For example: (Fractions to Decimals , Decimals To Fractions , Compare Mixed Values , Positive Number Line )
- Understand and explain that ten tenths is the same as one whole in both fraction and decimal form. (Basic Fraction Simplification , Fraction Simplification )
* Use models and points of reference to compare commonly used fractions. (Basic Fraction Comparison , Fraction Comparison )
* Identify and represent factors and multiples of whole numbers through 100, and classify numbers as prime or composite. (Prime Numbers , Factoring )
Computation and Estimation
* Solve problems involving counting money and making change, using both coins and paper bills. (Making Change , Making Change 2 , Counting Money )* Demonstrate fluency in adding and subtracting whole numbers and in multiplying and dividing whole numbers by 1- and 2-digit numbers and multiples of ten. (Long Addition , Long Subtraction , Multiplication By One Digit , Long Multiplication , Long Division By One Digit , Long Division , Division with Remainders , Long Division with Remainders , Small Decimal Division , Multiply By Multiples Of 10 , Word Problems With Remainders )
* Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies. (Estimated Addition , Estimated Subtraction , Money Addition , Money Subtraction )
* Analyze and solve multi-step problems involving addition, subtraction, multiplication and division using an organized approach, and verify and interpret results with respect to the original problem. (Missing Operator , Compare Expressions )
* Develop and explain strategies for performing computations mentally.
* Use a variety of methods and appropriate tools for computing with whole numbers; e.g., mental math, paper and pencil, and calculator.
* Use physical models, visual representations, and paper and pencil to add and subtract decimals and commonly used fractions with like denominators. (Basic Fraction Addition , Basic Fraction Subtraction , Decimal Addition , Decimal Subtraction )
Meaning of Operations
* Use associative and distributive properties to simplify and perform computations; e.g., use left to right multiplication and the distributive property to find an exact answer without paper and pencil, such as 5 x 47 = 5 x 40 + 5 x 7 = 200 + 35 = 235. (Associative Property 1 , Associative Property 2 , Basic Distributive Property )* Recognize that division may be used to solve different types of problem situations and interpret the meaning of remainders; e.g., situations involving measurement, money. (Word Problems With Remainders , Unit Cost )
Measurement Units
* Identify and select appropriate units to measure:- perimeter - string or links (inches or centimeters).
- area - tiles (square inches or square centimeters).
- volume - cubes (cubic inches or cubic centimeters).
* Relate the number of units to the size of the units used to measure an object; e.g., compare the number of cups to fill a pitcher to the number of quarts to fill the same pitcher.
* Demonstrate and describe perimeter as surrounding and area as covering a two-dimensional shape, and volume as filling a three-dimensional object.
* Tell time to the nearest minute and find elapsed time using a calendar or a clock. (Time Intervals , Telling Time )
Use Measurement Techniques and Tools
* Make simple unit conversions within a measurement system; e.g., inches to feet, kilograms to grams, quarts to gallons. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion )* Develop and use strategies to find perimeter using string or links, area using tiles or a grid, and volume using cubes; e.g., count squares to find area of regular or irregular shapes on a grid, layer cubes in a box to find its volume.
* Write, solve and verify solutions to multi-step problems involving measurement.
Spatial Relationships
* Describe points, lines and planes, and identify models in the environment.* Specify locations and plot ordered pairs on a coordinate plane, using first quadrant points.
Characteristics and Properties
* Identify, describe and model intersecting, parallel and perpendicular lines and line segments; e.g., use straws or other material to model lines. (Parallel and Perpendicular Lines )* Identify and describe the relative size of angles with respect to right angles as follows:
- Use physical models, like straws, to make different sized angles by opening and closing the sides, not by changing the side lengths. (Requires outside materials )
- Identify, classify and draw right, acute, obtuse and straight angles.
* Describe, classify, compare and model two- and three-dimensional objects using their attributes. (Polygon Names )
* Identify similarities and differences of quadrilaterals; e.g., squares, rectangles, parallelograms and trapezoids. (Quadrilateral Types )
* Identify and define triangles based on angle measures (equiangular, right, acute and obtuse triangles) and side lengths (isosceles, equilateral and scalene triangles). (Triangle Types )
Visualization and Geometric Models
* Use geometric models to solve problems in other areas of mathematics, such as number (multiplication/division) and measurement (area, perimeter, border). (Perimeter , Compare Rectangle Area and Perimeter , Perimeter and Area Word Problems )Transformations and Symmetry
* Identify, describe and use reflections (flips), rotations (turns), and translations (slides) in solving geometric problems; e.g., use transformations to determine if 2 shapes are congruent.Use Patterns, Relations and Functions
* Represent and analyze patterns and functions using words, tables and graphs. (Function Tables , Function Tables 2 )* Use models and words to describe, extend and make generalizations of patterns and relationships occurring in computation, numerical patterns, geometry, graphs and other applications.
Use Algebraic Representations
* Represent mathematical relationships with equations or inequalities. (Algebraic Sentences 2 , Algebraic Sentences )* Use rules and variables to describe patterns and other relationships. (Function Tables , Function Tables 2 )
* Construct a table of values to solve problems associated with a mathematical relationship. (Function Tables , Function Tables 2 )
Analyze Change
* Describe how a change in one variable affects the value of a related variable; e.g., as one increases the other increases or as one increases the other decreases. (Independent and Dependent Variables )Data Collection
* Create a plan for collecting data for a specific purpose.* Represent and interpret data using tables, bar graphs, line plots and line graphs. (Tally and Pictographs , Bar Graphs , Line Graphs )
* Propose and explain interpretations and predictions based on data displayed in tables, charts and graphs. (Tally and Pictographs , Bar Graphs , Line Graphs )
* Interpret and construct Venn diagrams to sort and describe data.
* Compare different representations of the same data to evaluate how well each representation shows important aspects of the data, and identify appropriate ways to display the data.
Statistical Methods
* Describe the characteristics of a set of data based on a graphical representation, such as range of the data, clumps of data, and holes in the data.* Identify the median of a set of data and describe what it indicates about the data.
* Use range, median and mode to make comparisons among related sets of data.
Probability
* Conduct simple probability experiments and draw conclusions from the results; e.g., rolling number cubes or drawing marbles from a bag.* Represent the likelihood of possible outcomes for chance situations; e.g., probability of selecting a red marble from a bag containing 3 red and 5 white marbles. (Probability , Probability 2 )
* Relate the concepts of impossible and certain-to-happen events to the numerical values of 0 (impossible) and 1 (certain). (Probability , Probability 2 )
* Place events in order of likelihood and use a diagram or appropriate language to compare the chance of each event occurring; e.g. impossible, unlikely, equal, likely, certain.
* List and count all possible combinations using one member from each of several sets, each containing 2 or 3 members; e.g., the number of possible outfits from 3 shirts, 2 shorts and 2 pair of shoes.
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