Hawaii State Standards for Mathematics: Grade 6

HI.MA.6.1. Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.6.1.1. Numbers and Number Systems: Compare and order fractions, decimals, and percents

MA.6.1.2. Numbers and Number Systems: Explain and give examples of number theory concepts (e.g., prime factorization, common factors, greatest common factor, common multiples, least common multiple, divisibility)

HI.MA.6.2. Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other

MA.6.2.1. Operation: Apply the order of operations when calculating with whole numbers

MA.6.2.2. Operation Properties: Use the operation properties to simplify computations with fractions, decimals, and percents

HI.MA.6.3. Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.6.3.1. Estimation: Use estimation prior to computing with fractions and decimals and compare the estimation to the actual result

MA.6.3.2. Estimation: Recognize situations in which it is more appropriate to estimate than to compute an exact answer

HI.MA.6.4. Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.6.4.1. Measurement Attributes and Units: Estimate the circumference and area of a circle (with no reference to a formula)

MA.6.4.2. Measurement Attributes and Units: Construct angles with a given degree measure

MA.6.4.3. Measurement Formulas: Apply strategies and formulas to solve area and perimeter problems involving polygons (e.g., regular hexagons) and complex shapes (i.e., shapes composed of two or more common shapes)

HI.MA.6.5. Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties

MA.6.5.1. Geometric Shapes and Their Properties and Relationships: Analyze and describe the relationships among the angles, side lengths, perimeters, and areas of similar geometric figures

MA.6.5.2. Geometric Shapes and Their Properties and Relationships: Create arguments for proving that two shapes are congruent

HI.MA.6.6. Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations

MA.6.6.1. Symmetry: Use line symmetry and rotational symmetry to describe classifications of shapes (e.g., squares have 4 lines of symmetry and 90 degrees rotational symmetry)

HI.MA.6.7. Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

MA.6.7.1. Visualization and Spatial Reasoning: Construct a two-dimensional representation from different angles of a three-dimensional object

MA.6.7.2. Visualization and Spatial Reasoning: Draw two-dimensional shapes with specified properties

HI.MA.6.8. Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry

MA.6.8.1. Coordinate Geometry: Predict the shape that is formed by connecting the points represented by given coordinates

MA.6.8.2. Coordinate Geometry: Use coordinate geometry to represent and analyze properties of geometric shapes

HI.MA.6.9. Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships

MA.6.9.1. Patterns: Represent visual and numerical patterns with tables and graphs and generalize the ''rule'' using words and symbols

MA.6.9.2. Functions: Describe simple one-step functions using words and symbols when given a table of ''input'' and ''output'' values

HI.MA.6.10. Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations

MA.6.10.1. Numeric and Algebraic Representations: Interpret and solve problem situations involving two different variables

MA.6.10.2. Numeric and Algebraic Representations: Use fact families to solve for an unknown in an open sentence

MA.6.10.3. Numeric and Algebraic Representations: Evaluate algebraic expressions

HI.MA.6.11. Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions

MA.6.11.1. Data Collection and Representation: Analyze how data collection methods and sample size can affect the results of data sets

HI.MA.6.12. Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis

MA.6.12.1. Data Interpretation: Determine and interpret the measures of center (mean, median, mode) of a data set and explain what each measure indicates about the data set

MA.6.12.2. Data Interpretation: Use a stem-and-leaf plot to analyze a set of data

HI.MA.6.13. Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data

MA.6.13.1. Predictions and Inferences: Make inferences about a population based on the interpretation of a sample data set

HI.MA.6.14. Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability

MA.6.14.1. Probability: Compute probabilities of simple compound events (e.g., rolling two dice, using two different spinners at the same time)