| 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 |
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