Hawaii State Standards for Mathematics: Grade 7

HI.MA.7.1. Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.7.1.1. Numbers and Number Systems: Solve problems using fractions, decimals, and percents

MA.7.1.2. Numbers and Number Systems: Identify situations that require the use of large numbers and represent them using scientific notation

MA.7.1.3. Numbers and Number Systems: Describe and solve situations represented by integers and absolute value

MA.7.1.4. Numbers and Number Systems: Apply number theory concepts to solve problems

HI.MA.7.2. Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other

MA.7.2.1. Operations: Describe situations involving arithmetic operations with integers

MA.7.2.2. Operations: Apply the order of operations when calculating with rational number, excluding exponents

MA.7.2.3. Operations: Apply the inverse relationship between addition and subtraction, and between multiplication and division, to solve one-step equations

HI.MA.7.3. Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.7.3.1. Computational Fluency: Add, subtract, multiply, and divide integers

MA.7.3.2. Estimation: Determine the reasonableness of a solution by comparing the answer to an estimate

HI.MA.7.4. Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.7.4.1. Measurement Attributes and Units: Determine how measurements, such as perimeter and area, of common shapes (e.g., squares, rectangles, parallelograms, triangles, circles) are affected when one of the attributes is changed in some way

MA.7.4.2. Measurement Tools and Techniques: Uses ratios and proportions to relate a scale drawing to the actual object

MA.7.4.3. Measurement Formulas: Use known measurements (e.g., radius) to calculate desired measurements (e.g., circumference and area) of circles

HI.MA.7.5. Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties

MA.7.5.1. Geometric Shapes and Their Properties and Relationships: Apply the concept of similarity to solve problems

HI.MA.7.6. Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations

MA.7.6.1. Transformation: Describe changes in size between a given figure and its dilation

HI.MA.7.7. Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

MA.7.7.1. There are no benchmarks for this standard for this Grade/Course.

HI.MA.7.8. Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry

MA.7.8.1. Coordinate Geometry: Use coordinate geometry to determine the change in size of a figure that is dilated by a scale factor

HI.MA.7.9. Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships

MA.7.9.1. Patterns: Create a pattern or function for a rule given in symbolic form

MA.7.9.2. Functions: Describe multi-step functions using words and symbols when given a table of ''input'' and ''output'' values and use the rule for the function to determine other input and output values

HI.MA.7.10. Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations

MA.7.10.1. Numeric and Algebraic Representations: Analyze the relationship among tables, graphs (including graphing technology when available), and equations of linear functions, paying particular attention to the meaning of intercept and slope

MA.7.10.2. Numeric and Algebraic Representations: Use symbolic algebra to represent situations involving linear relationships

MA.7.10.3. Numeric and Algebraic Representations: Solves linear equations and inequalities with one variable using algebraic methods, manipulatives, or models

HI.MA.7.11. Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions

MA.7.11.1. Data Collection and Representation: Design a study, collect data, and select the appropriate representation (line graph, bar graph, circle graph, histogram, stem and leaf plot, box and whisker plot) to display the data

HI.MA.7.12. Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis

MA.7.12.1. Data Interpretation: Relate the spread of a data set to a box-and-whisker plot

HI.MA.7.13. Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data

MA.7.13.1. Predictions and Inferences: Formulate new questions that arise from previous conclusions or conjectures and plan a new study to answer them

HI.MA.7.14. Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability

MA.7.14.1. Probability: Relate theoretical probability to experimental results