 # Math Standards

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

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

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

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

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

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

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

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

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

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

 Strand Measurement 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

 Topic Measurement Attributes and Units Benchmark MA.5.4.1 Convert 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)

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

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

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

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

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

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

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

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

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

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

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

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

 Strand Geometry 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

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

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

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

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

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

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

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

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

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

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

 Strand Data 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

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

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

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

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

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

 Strand Data 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

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

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

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

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