Hawaii State Standards for Mathematics: Grade 8

HI.MA.8.1. Numbers and Operations: NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.8.1.1. Numbers and Number Systems: Identify situations represented by square roots and cube roots

MA.8.1.2. Numbers and Number Systems: Compare and order rational numbers and square roots

MA.8.1.3. Numbers and Number Systems: Use ratios and proportions to represent the relationship between two quantities

HI.MA.8.2. Numbers and Operations: OPERATION SENSE: Understand the meaning of operations and how they relate to each other

MA.8.2.1. Operations: Apply the order of operations when calculating with rational numbers

MA.8.2.2. Operations: Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots

HI.MA.8.3. Numbers and Operations: COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.8.3.1. Computational Fluency: Add, subtract, multiply, and divide numbers with whole number exponents

MA.8.3.2. Estimation: Estimate a reasonable range (i.e., upper and lower limit) for the solution to a problem

HI.MA.8.4. Measurement: FLUENCY WITH MEASUREMENT: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.8.4.1. Measurement Attributes and Units: Select and use appropriate units to measure the surface area and volume of solids

MA.8.4.2. Measurement Tools and Techniques: Express rates of change as a ratio of two different measures, where units are included in the ratio, and use the derived rate to solve problems

MA.8.4.3. Measurement Formulas: Use ratios and proportions to solve measurement problems

MA.8.4.4. Measurement Formulas: Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids

HI.MA.8.5. Geometry and Spatial Sense: PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties

MA.8.5.1. Geometric Shapes and Their Properties and Relationships: Apply the Pythagorean theorem to solve problems involving right triangles

HI.MA.8.6. Geometry and Spatial Sense: TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations

MA.8.6.1. Transformation: Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters

MA.8.6.2. Transformation: Describe the size, position, and orientation of shapes under transformations and compositions of transformations

HI.MA.8.7. Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

MA.8.7.1. Visualization and Spatial Reasoning: Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures

HI.MA.8.8. Geometry and Spatial Sense: REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry

MA.8.8.1. Coordinate Geometry: Use coordinate geometry to represent transformations in the coordinate plane

HI.MA.8.9. Patterns, Functions, and Algebra: PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships

MA.8.9.1. Patterns: Represent a variety of patterns (including recursive patterns) with tables, graphs (including graphing technology when available), words, and when possible, symbolic rules

MA.8.9.2. Functions: Use linear relationships with two variables to solve problems

MA.8.9.3. Functions: Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations

HI.MA.8.10. Patterns, Functions, and Algebra: SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations

MA.8.10.1. Numeric and Algebraic Representations: Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships

MA.8.10.2. Numeric and Algebraic Representations: Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models

MA.8.10.3. Numeric and Algebraic Representations: Use tables and graphs to represent and compare linear relationships

MA.8.10.4. Rates of Change: Use the slope of a line to describe a constant rate of change

HI.MA.8.11. Data Analysis, Statistics, and Probability: FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions

MA.8.11.1. Data Collection and Representation: Design a study that compares two samples, collect data, and select the appropriate representation (e.g., double bar graph, back-to-back stem and leaf plot, parallel box and whisker plots, scatter plot) to compare the sets of data

MA.8.11.2. Data Collection and Representation: Judge the validity of data based on the data collection method

HI.MA.8.12. Data Analysis, Statistics, and Probability: STATISTICS: Interpret data using methods of exploratory data analysis

MA.8.12.1. Data Interpretation: Recognize situations appropriate for scatter plots

MA.8.12.2. Data Interpretation: Analyze different representations of the same data to describe how representations can be used to skew a person's interpretation of the data

HI.MA.8.13. Data Analysis, Statistics, and Probability: DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data

MA.8.13.1. Predictions and Inferences: Make conjectures about possible relationships between two characteristics of a sample based on interpretations of scatter plots

HI.MA.8.14. Data Analysis, Statistics, and Probability: PROBABILITY: Understand and apply basic notions of chance and probability

MA.8.14.1. Probability: Judge the validity of conjectures that are based on experiments or simulations