Hawaii State Standards for Mathematics: Grade 5

HI.MA.5.1. Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

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

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

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

HI.MA.5.2. Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other

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

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

HI.MA.5.3. Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation

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

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

HI.MA.5.4. Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.5.4.1. Measurement Attributes and Units: 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)

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

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

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

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

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

HI.MA.5.5. Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties

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

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

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

HI.MA.5.6. Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations

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

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

HI.MA.5.7. Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

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

HI.MA.5.8. Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry

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

HI.MA.5.9. Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships

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

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

HI.MA.5.10. Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations

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

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

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

HI.MA.5.11. Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions

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

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

HI.MA.5.12. Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis

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

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

HI.MA.5.13. Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data

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

HI.MA.5.14. Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability

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

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