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8.NO
Numbers and Operations
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8.1
Understand numbers, ways of representing numbers, relationships among numbers, and number systems
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8
Numbers and Number Systems
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8.1.1
Identify situations represented by square roots and cube roots
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8.1.2
Compare and order rational numbers and square roots
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8.1.3
Use ratios and proportions to represent the relationship between two quantities
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8.2
Understand the meaning of operations and how they relate to each other
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8
Operations
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8.2.1
Apply the order of operations when calculating with rational numbers
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8.2.2
Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots
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8.3
Use computational tools and strategies fluently and, when appropriate, use estimation
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8
Computational Fluency
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8.3.1
Add, subtract, multiply, and divide numbers with whole number exponents
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8
Estimation
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8.3.2
Estimate a reasonable range (i.e., upper and lower limit) for the solution to a problem
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8.MEA
Measurement
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8.4
Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring
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8
Measurement Attributes and Units
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8.4.1
Select and use appropriate units to measure the surface area and volume of solids
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8
Measurement Tools and Techniques
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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
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8
Measurement Formulas
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8.4.3
Use ratios and proportions to solve measurement problems
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8.4.4
Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids
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8.GEO
Geometry and Spatial Sense
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8.5
Analyze properties of objects and relationships among the properties
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8
Geometric Shapes and Their Properties and Relationships
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8.5.1
Apply the Pythagorean theorem to solve problems involving right triangles
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8.6
Use transformations and symmetry to analyze mathematical situations
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8
Transformation
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8.6.1
Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters
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8.6.2
Describe the size, position, and orientation of shapes under transformations and compositions of transformations
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8.7
Use visualization and spatial reasoning to solve problems both within and outside of mathematics
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8
Visualization and Spatial Reasoning
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8.7.1
Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures
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8.8
Select and use different representational systems, including coordinate geometry
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8
Coordinate Geometry
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8.8.1
Use coordinate geometry to represent transformations in the coordinate plane
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8.PFA
Patterns, Functions, and Algebra
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8.9
Understand various types of patterns and functional relationships
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8
Patterns
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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
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8
Functions
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8.9.2
Use linear relationships with two variables to solve problems
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8.9.3
Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations
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8.10
Use symbolic forms to represent, model, and analyze mathematical situations
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8
Numeric and Algebraic Representations
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8.10.1
Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships
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8.10.2
Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models
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8.10.3
Use tables and graphs to represent and compare linear relationships
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8
Rates of Change
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8.10.4
Use the slope of a line to describe a constant rate of change
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8.DASP
Data Analysis, Statistics, and Probability
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8.11
Pose questions and collect, organize, and represent data to answer those questions
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8
Data Collection and Representation
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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
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8.11.2
Judge the validity of data based on the data collection method
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8.12
Interpret data using methods of exploratory data analysis
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8
Data Interpretation
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8.12.1
Recognize situations appropriate for scatter plots
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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
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8.13
Develop and evaluate inferences, predictions, and arguments that are based on data
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8
Predictions and Inferences
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8.13.1
Make conjectures about possible relationships between two characteristics of a sample based on interpretations of scatter plots
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8.14
Understand and apply basic notions of chance and probability
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8
Probability
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8.14.1
Judge the validity of conjectures that are based on experiments or simulations
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IXL Learning. All rights reserved.