MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!
Pennsylvania Math Standards - 5th Grade
MathScore aligns to the Pennsylvania Math Standards for 5th 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.
Want unlimited math worksheets? Learn more about our online math practice software.
View the Pennsylvania Math Standards at other levels.
Number, Number Systems, and Number Relationships
2.1.5A. Use expanded notation to represent whole numbers or decimals. (Place Value , Decimal Place Value )2.1.5B. Apply number theory concepts to rename a number quantity (e.g., six, 6, 2 12 , 3 ×2, 10 - 4). (Fast Addition , Fast Addition Reverse , Fast Subtraction , Fast Multiplication , Fast Multiplication Reverse , Multiplication Facts Strategies , Fast Division )
2.1.5C. Demonstrate that mathematical operations can represent a variety of problem situations. (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Algebraic Word Problems , Algebraic Sentences )
2.1.5D. Use models to represent fractions and decimals. (Fraction Pictures )
2.1.5E. Explain the concepts of prime and composite numbers. (Prime Numbers )
2.1.5F. Use simple concepts of negative numbers (e.g., on a number line, in counting, in temperature). (Compare Integers )
2.1.5G. Develop and apply number theory concepts (e.g., primes, factors, multiples, composites) to represent numbers in various ways. (Prime Numbers , Prime Factoring )
Computation and Estimation
2.2.5A. Create and solve word problems involving addition, subtraction, multiplication and division of whole numbers. (Basic Word Problems , Arithmetic Word Problems , Basic Word Problems 2 , Word Problems With Remainders , Algebraic Word Problems )2.2.5B. Develop and apply algorithms to solve word problems that involve addition, subtraction, and/or multiplication with decimals with and without regrouping. (Making Change )
2.2.5C. Develop and apply algorithms to solve word problems that involve addition, subtraction, and/or multiplication with fractions and mixed numbers that include like and unlike denominators. (Fraction Word Problems , Fraction Word Problems 2 )
2.2.5D. Demonstrate the ability to round numbers. (Rounding Numbers , Rounding Large Numbers , Decimal Rounding to .01 , Decimal Rounding )
2.2.5E. Determine through estimations the reasonableness of answers to problems involving addition, subtraction, multiplication and division of whole numbers. (Estimated Addition , Estimated Subtraction , Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
2.2.5F. Demonstrate skills for using fraction calculators to verify conjectures, confirm computations and explore complex problem-solving situations.
2.2.5G. Apply estimation strategies to a variety of problems including time and money. (Money Addition , Money Subtraction )
2.2.5H. Explain multiplication and division algorithms. (Multiplication By One Digit , Long Multiplication , Long Division By One Digit , Long Division , Money Multiplication , Money Division )
2.2.5I. Select a method for computation and explain why it is appropriate. (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 )
Measurement and Estimation
2.3.5A. Select and use appropriate instruments and units for measuring quantities (e.g., perimeter, volume, area, weight, time, temperature).2.3.5B. Select and use standard tools to measure the size of figures with specified accuracy, including length, width, perimeter and area.
2.3.5C. Estimate, refine and verify specified measurements of objects.
2.3.5D. Convert linear measurements within the same system. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion )
2.3.5E. Add and subtract measurements.
Mathematical Reasoning and Connections
2.4.5A. Compare quantities and magnitudes of numbers.2.4.5B. Use models, number facts, properties and relationships to check and verify predictions and explain reasoning. (Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 )
2.4.5C. Draw inductive and deductive conclusions within mathematical contexts.
2.4.5D. Distinguish between relevant and irrelevant information in a mathematical problem.
2.4.5E. Interpret statements made with precise language of logic (e.g., "all", "or", "every", "none", "some", "or", "many").
2.4.5F. Use statistics to quantify issues (e.g., in social studies, in science).
Mathematical Problem Solving and Communication
2.5.5A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense and explain how the problem was solved. (Word Problems With Remainders )2.5.5B. Use appropriate mathematical terms, vocabulary, language symbols and graphs to explain clearly and logically solutions to problems.
2.5.5C. Show ideas in a variety of ways, including words, numbers, symbols, pictures, charts, graphs, tables, diagrams and models.
2.5.5D. Connect, extend and generalize problem solutions to other concepts, problems and circumstances in mathematics.
2.5.5E. Select, use and justify the methods, materials and strategies used to solve problems. (Perimeter and Area Word Problems )
2.5.5F. Use appropriate problem-solving strategies (e.g., solving a simpler problem, drawing a picture or diagram).
Statistics and Data Analysis
2.6.5A. Organize and display data using pictures, tallies, tables, charts, bar graphs and circle graphs.2.6.5B. Describe data sets using mean, median, mode and range. (Mean, Median, Mode )
2.6.5C. Sort data using Venn diagrams.
2.6.5D. Predict the likely number of times a condition will occur based on analyzed data.
2.6.5E. Construct and defend simple conclusions based on data.
Probability and Predictions
2.7.5A. Perform simulations with concrete devices (e.g., dice, spinner) to predict the chance of an event occurring. (Requires outside materials )2.7.5B. Determine the fairness of the design of a spinner.
2.7.5C. Express probabilities as fractions and decimals. (Probability )
2.7.5D. Compare predictions based on theoretical probability and experimental results.
2.7.5E. Calculate the probability of a simple event. (Probability )
2.7.5F. Determine patterns generated as a result of an experiment.
2.7.5G. Determine the probability of an event involving "and", "or" or "not."
2.7.5H. Predict and determine why some outcomes are certain, more likely, less likely, equally likely or impossible.
2.7.5I. Find all possible combinations and arrangements involving a limited number of variables.
2.7.5J. Develop a tree diagram and list the elements.
Algebra and Functions
2.8.5A. Recognize, reproduce, extend, create and describe patterns, sequences and relationships verbally, numerically, symbolically and graphically, using a variety of materials. (Patterns: Numbers , Patterns: Shapes , Function Tables , Function Tables 2 )2.8.5B. Connect patterns to geometric relations and basic number skills.
2.8.5C. Form rules based on patterns (e.g., an equation that relates pairs in a sequence). (Function Tables , Function Tables 2 )
2.8.5D. Use concrete objects and combinations of symbols and numbers to create expressions that model mathematical situations. (Requires outside materials )
2.8.5E. Explain the use of combinations of symbols and numbers in expressions, equations and inequalities. (Algebraic Sentences 2 , Algebraic Sentences )
2.8.5F. Describe a realistic situation using information given in equations, inequalities, tables or graphs.
2.8.5G. Select and use appropriate strategies, including concrete materials, to solve number sentences and explain the method of solution. (Missing Factor , Missing Term , Missing Operator , Compare Expressions )
2.8.5H. Locate and identify points on a coordinate system. (Ordered Pairs )
2.8.5I. Generate functions from tables of data and relate data to corresponding graphs and functions. (Function Tables , Function Tables 2 )
Geometry
2.9.5A. Give formal definitions of geometric figures.2.9.5B. Classify and compare triangles and quadrilaterals according to sides or angles. (Triangle Types , Quadrilateral Types )
2.9.5C. Identify and measure circles, their diameters and their radii. (Circle Measurements )
2.9.5D. Describe in words how geometric shapes are constructed.
2.9.5E. Construct two- and three-dimensional shapes and figures using manipulatives, geoboards and computer software.
2.9.5F. Find familiar solids in the environment and describe them.
2.9.5G. Create an original tesselation.
2.9.5H. Describe the relationship between the perimeter and area of triangles, quadrilaterals and circles. (Triangle Area , Parallelogram Area , Compare Rectangle Area and Perimeter , Circle Area , Circle Circumference )
2.9.5I. Represent and use the concepts of line, point and plane.
2.9.5J. Define the basic properties of squares, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, triangles, cubes, prisms, spheres and cylinders. (Geometric Shapes , Quadrilateral Types , Polygon Names )
2.9.5K. Analyze simple transformations of geometric figures and rotations of line segments. (Translations and Reflections )
2.9.5L. Identify properties of geometric figures (e.g., parallel, perpendicular, similar, congruent, symmetrical). (Congruent And Similar Triangles , Parallel and Perpendicular Lines )
Trigonometry
2.10.5A. Identify and compare parts of right triangles, including right angles, acute angles, hypotenuses and legs.2.10.5B. Create right triangles on a geoboard. (Requires outside materials )
Concepts of Calculus
2.11.5A. Make comparisons of numbers (e.g., more, less, same, least, most, greater than, less than). (Number Comparison )2.11.5B. Identify least and greatest values represented in bar and circle graphs. (Bar Graphs )
2.11.5C. Identify maximum and minimum.
2.11.5D. Describe the relationship between rates of change and time. (Line Graphs )
2.11.5E. Estimate areas and volumes as the sums of areas of tiles and volumes of cubes.
Learn more about our online math practice software.
|
"MathScore works."
- John Cradler, Educational Technology Expert |
