Hawaii Math Standards

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Hawaii Math Standards - 8th Grade

MathScore aligns to the Hawaii Math Standards for 8th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.

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Numbers and Operations

Standard 1 NUMBER SENSE: Understand numbers, ways of representing numbers, relationships among numbers, and number systems
   MA.8.1.1: Identify situations represented by square roots and cube roots
   MA.8.1.2: Compare and order rational numbers and square roots (Compare Mixed Values 2 , Number Line , Estimating Square Roots )
   MA.8.1.3: Use ratios and proportions to represent the relationship between two quantities (Proportions 1 , Ratios )
Standard 2 OPERATION SENSE: Understand the meaning of operations and how they relate to each other
   MA.8.2.1: Apply the order of operations when calculating with rational numbers (Using Parentheses , Order Of Operations )
   MA.8.2.2: Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots (Estimating Square Roots , Perfect Squares )
Standard 3 COMPUTATION STRATEGIES: Use computational tools and strategies fluently and, when appropriate, use estimation
   MA.8.3.1: Add, subtract, multiply, and divide numbers with whole number exponents (Prime Factoring 2 , Exponent Basics , Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions )
   MA.8.3.2: Estimate a reasonable range (i.e., upper and lower limit) for the solution to a problem (Estimating Square Roots )

Measurement

Standard 4 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: Select and use appropriate units to measure the surface area and volume of solids
   MA.8.4.2: 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 (Distance, Rate, and Time )
   MA.8.4.3: Use ratios and proportions to solve measurement problems (Solving For Angles , Proportions 2 )
   MA.8.4.4: Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids (Rectangular Solids , Rectangular Solids 2 , Triangular Prisms , Cylinders )

Geometry and Spatial Sense

Standard 5 PROPERTIES AND RELATIONSHIPS: Analyze properties of objects and relationships among the properties
   MA.8.5.1: Apply the Pythagorean theorem to solve problems involving right triangles (Pythagorean Theorem )
Standard 6 TRANSFORMATIONS AND SYMMETRY: Use transformations and symmetry to analyze mathematical situations
   MA.8.6.1: Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters
   MA.8.6.2: Describe the size, position, and orientation of shapes under transformations and compositions of transformations
Standard 7 VISUAL AND SPATIAL SENSE: Use visualization and spatial reasoning to solve problems both within and outside of mathematics
   MA.8.7.1: Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures
Standard 8 REPRESENTATIONAL SYSTEMS: Select and use different representational systems, including coordinate geometry
   MA.8.8.1: Use coordinate geometry to represent transformations in the coordinate plane (Translations and Reflections )

Patterns, Functions, and Algebra

Standard 9 PATTERNS AND FUNCTIONAL RELATIONSHIPS: Understand various types of patterns and functional relationships
   MA.8.9.1: Represent a variety of patterns (including recursive patterns) with tables, graphs (including graphing technology when available), words, and when possible, symbolic rules (Function Tables , Function Tables 2 )
   MA.8.9.2: Use linear relationships with two variables to solve problems (Age Problems )
   MA.8.9.3: Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations
Standard 10 SYMBOLIC REPRESENTATION: Use symbolic forms to represent, model, and analyze mathematical situations
   MA.8.10.1: Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities )
   MA.8.10.2: Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models (Single Variable Equations 2 , Single Variable Equations 3 , Single Variable Inequalities )
   MA.8.10.3: Use tables and graphs to represent and compare linear relationships
   MA.8.10.4: Use the slope of a line to describe a constant rate of change (Determining Slope )

Data Analysis, Statistics, and Probability

Standard 11 FLUENCY WITH DATA: Pose questions and collect, organize, and represent data to answer those questions
   MA.8.11.1: 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: Judge the validity of data based on the data collection method
Standard 12 STATISTICS: Interpret data using methods of exploratory data analysis
   MA.8.12.1: Recognize situations appropriate for scatter plots
   MA.8.12.2: Analyze different representations of the same data to describe how representations can be used to skew a person's interpretation of the data
Standard 13 DATA ANALYSIS: Develop and evaluate inferences, predictions, and arguments that are based on data
   MA.8.13.1: Make conjectures about possible relationships between two characteristics of a sample based on interpretations of scatter plots
Standard 14 PROBABILITY: Understand and apply basic notions of chance and probability
   MA.8.14.1: Judge the validity of conjectures that are based on experiments or simulations

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