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Math Standards

StrandNumbers and Operations 
Standard 1: Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

TopicNumbers and Number Systems
Benchmark MA.5.1.1Represent percent and ratio using pictures or objects

TopicNumbers and Number Systems
Benchmark MA.5.1.2Use equivalent forms of whole numbers, fractions, ratios, decimals, and percents to solve problems

TopicNumbers and Number Systems
Benchmark MA.5.1.3Use models, benchmarks, and equivalent forms to judge the size of fractions and order them

StrandNumbers and Operations 
Standard 2: Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other

TopicOperations
Benchmark MA.5.2.1Apply the inverse relationship between addition and subtraction, and multiplication and division, to solve problems

TopicOperations
Benchmark MA.5.2.2Describe situations involving multiplication and division of fractions and decimals

StrandNumbers and Operations 
Standard 3: Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation

TopicComputational Fluency
Benchmark MA.5.3.1Multiply decimals up to 3 places and divide decimals by whole numbers

TopicComputational Fluency
Benchmark MA.5.3.2Use a variety of strategies to multiply and divide fractions

StrandMeasurement 
Standard 4: Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

TopicMeasurement Attributes and Units
Benchmark MA.5.4.1Convert simple units within a system of measurement (e.g., millimeters to centimeters, feet to yard, quarts to gallons, gram to kilogram, minutes to hours, days to weeks)

TopicMeasurement Attributes and Units
Benchmark MA.5.4.2Select and apply appropriate customary and metric units and tools to measure angles

TopicMeasurement Tools and Techniques
Benchmark MA.5.4.3Use map scales to measure the distance between locations and make simple scale drawings

TopicMeasurement Tools and Techniques
Benchmark MA.5.4.4Estimate and measure the size of an angle

TopicMeasurement Formulas
Benchmark MA.5.4.5Use known measurements (e.g., base and height) to calculate desired measurements (e.g., area) of triangles, parallelograms, and trapezoids

TopicMeasurement Formulas
Benchmark MA.5.4.6Use known measurements (e.g., length, width, and height) to calculate desired measurements (e.g., surface area and volume) of rectangular solids

StrandGeometry and Spatial Sense 
Standard 5: Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties

TopicGeometric Shapes and Their Properties and Relationships
Benchmark MA.5.5.1Describe the properties that define classifications of three-dimensional shapes (e.g., cylinders have two bases that are circles)

TopicGeometric Shapes and Their Properties and Relationships
Benchmark MA.5.5.2Apply the understanding that the sum of the measures of the angles in any triangle is 180°

TopicGeometric Shapes and Their Properties and Relationships
Benchmark MA.5.5.3Classify angles (no larger than 180°) as acute, right, obtuse, or straight

StrandGeometry and Spatial Sense 
Standard 6: Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations

TopicTransformation
Benchmark MA.5.6.1Predict and confirm the results of combinations of flips, turns, and slides

TopicSymmetry
Benchmark MA.5.6.2Identify three-dimensional objects that have rotational symmetry and locate the rotational axis

StrandGeometry and Spatial Sense 
Standard 7: Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

TopicVisualization and Spatial Reasoning
Benchmark MA.5.7.1Use two-dimensional nets of rectangular solids to solve surface area problems

StrandGeometry and Spatial Sense 
Standard 8: Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry

TopicCoordinate Geometry
Benchmark MA.5.8.1Determine the distance between points along horizontal and vertical lines of a coordinate system

StrandPatterns, Functions, and Algebra 
Standard 9: Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships

TopicPatterns
Benchmark MA.5.9.1Analyze patterns and functions and use generalizations to make reasonable predictions

TopicFunction
Benchmark MA.5.9.2Describe situations in which the relationship between two quantities vary directly or inversely

StrandPatterns, Functions, and Algebra 
Standard 10: Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations

TopicNumeric and Algebraic Representations
Benchmark MA.5.10.1Use a variety of strategies to solve number sentences with unknowns

TopicNumeric and Algebraic Representations
Benchmark MA.5.10.2Model problem situations with objects or manipulatives and use representations (e.g., graphs, tables, equations) to draw conclusions

TopicRates of Change
Benchmark MA.5.10.3Describe situations with constant or varying rates (e.g., miles per hour, items per box)

StrandData Analysis, Statistics, and Probability 
Standard 11: Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions

TopicData Collection and Representation
Benchmark MA.5.11.1Collect and display data in circle graphs

TopicData Collection and Representation
Benchmark MA.5.11.2Recognize the difference in representing numeric data and categorical data and select appropriate representations to display each type of data

StrandData Analysis, Statistics, and Probability 
Standard 12: Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis

TopicData Interpretation
Benchmark MA.5.12.1Determine the range, median, mode, and mean for a data set

TopicData Interpretation
Benchmark MA.5.12.2Compare different representations of the same data and evaluate how well each representation shows important aspects of the data

StrandData Analysis, Statistics, and Probability 
Standard 13: Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data

TopicPredictions and Inferences
Benchmark MA.5.13.1Design studies to further investigate the conclusion/predictions made based on data

StrandData Analysis, Statistics, and Probability 
Standard 14: Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability

TopicProbability
Benchmark MA.5.14.1Use fractions, decimals, and percents to indicate the probability of events

TopicProbability
Benchmark MA.5.14.2Determine all possible outcomes of a simple compound event
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