Hawaii State Standards for Mathematics: Grade 4

HI.MA.4.1. Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.4.1.1. Numbers and Number Systems: Identify place value from ten-thousandths to millions

MA.4.1.2. Numbers and Number Systems: Identify and list factors, multiples, prime numbers, and composite numbers

MA.4.1.3. Numbers and Number Systems: Identify equivalent forms of commonly used fractions and decimals

HI.MA.4.2. Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other

MA.4.2.1. Operations: Describe situations involving addition and subtraction of fractions and decimals

MA.4.2.2. Operation Properties: Use associative, commutative, and distributive properties as they apply to operations involving whole numbers

MA.4.2.3. Operation Properties: Apply the properties of zero and one as they relate to addition, subtraction, multiplication, and division

HI.MA.4.3. Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.4.3.1. Computational Fluency: Recall all multiplication facts and the corresponding division facts up to 12 x 12

MA.4.3.2. Computational Fluency: Select and use appropriate strategies and/or tools (e.g., mental math, calculators, paper/pencil, standard algorithms) for computing whole numbers

MA.4.3.3. Computational Fluency: Use a variety of strategies to add and subtract fractions with like and unlike denominators

MA.4.3.4. Computational Fluency: Add and subtract decimals to 3 places

MA.4.3.5. Estimation: Determine the reasonableness of numerical solutions

HI.MA.4.4. Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.4.4.1. Measurement Attributes and Units: Explain the need to use standard units for measuring

MA.4.4.2. Measurement Attributes and Units: Select and apply appropriate customary and metric units and tools to measure length, perimeter, and area for the degree of accuracy needed

MA.4.4.3. Measurement Attributes and Units: Classify right angles, acute angles, obtuse angles, and straight angles

MA.4.4.4. Measurement Tools and Techniques: Estimate and measure surface area and volume using U.S. customary units and metric units

MA.4.4.5. Measurement Formulas: Use known measurements to calculate desired measurements of squares and rectangles (e.g., use the length of the square to calculate its area and perimeter)

HI.MA.4.5. Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties

MA.4.5.1. Geometric Shapes and Their Properties and Relationships: Classify different types of triangles and quadrilaterals according to their properties and identify the properties that define the classifications

MA.4.5.2. Geometric Shapes and Their Properties and Relationships: Describe lines in the plane (i.e., parallel, perpendicular, intersecting)

MA.4.5.3. Geometric Shapes and Their Properties and Relationships: Compare points, lines, line segments, and rays

MA.4.5.4. Geometric Shapes and Their Properties and Relationships: Predict and confirm the results of putting together and taking apart two- and three-dimensional shapes

HI.MA.4.6. Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations

MA.4.6.1. Transformation: Use flips, slides, and turns to determine if two figures are congruent

MA.4.6.2. Symmetry: Locate the plane of symmetry in three-dimensional objects

HI.MA.4.7. Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

MA.4.7.1. Visualization and Spatial Reasoning: Predict the three-dimensional object that will result from folding a two-dimensional net of the object and justify the prediction

HI.MA.4.8. Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry

MA.4.8.1. Coordinate Geometry: Use ordered pairs to plot points on a coordinate grid

HI.MA.4.9. Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships

MA.4.9.1. Patterns: Extend, create, and generalize growing and shrinking numeric and geometric patterns (including multiplication patterns)

MA.4.9.2. Function: Represent the relationship between quantities in a variety of forms (e.g., manipulatives, tables, pictures, symbols)

HI.MA.4.10. Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations

MA.4.10.1. Numeric and Algebraic Representations: Use symbols to represent unknown quantities in open sentences and determine the unknown quantities

MA.4.10.2. Numeric and Algebraic Representations: Represent the commutative, associative, and distributive properties symbolically

MA.4.10.3. Rates of Change: Describe the rate of change numerically and verbally based on data recorded in a table or graph

HI.MA.4.11. Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions

MA.4.11.1. Data Collection and Representation: Pose questions, collect data using observations and experiments, and organize the data into tables or graphs

MA.4.11.2. Data Collection and Representation: Label the parts of a graph (e.g., axes, scale, legend, title)

HI.MA.4.12. Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis

MA.4.12.1. Data Interpretation: Compare related data sets (e.g., height of 4th grade boys vs. height of 4th grade girls) with an emphasis on how the data are distributed

MA.4.12.2. Data Interpretation: Analyze important features in the shape of the graph of a data set

HI.MA.4.13. Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data

MA.4.13.1. Predictions and Inferences: Propose and justify conclusions/predictions based on data

HI.MA.4.14. Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability

MA.4.14.1. Probability: Predict the probability of outcomes of simple experiments (e.g., coin toss, 4-colored spinner) and test the predictions