IXL - North Dakota eighth-grade math standards

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Skills available for North Dakota eighth-grade math standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
2005 North Dakota Content Standards 2005 North Dakota Content Standards

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8.1 Number and Operation

Number, Number Relationships, and Number Systems
8.1.1 Identify subsets of the real number system; i.e., natural and whole numbers, integers, rational and irrational numbers
- Number theory: Classify numbers (Eighth grade - A.8)
- Rational numbers: Identify rational and irrational numbers (Eighth grade - D.1)
8.1.2 Solve real-world problems involving ration, proportion, and percent
8.1.3 Identify perfect squares 1 to 144 and approximate square roots
- Exponents and roots: Square roots of perfect squares (Eighth grade - F.13)
- Exponents and roots: Estimate positive and negative square roots (Eighth grade - F.15)
8.1.4 Represent large and small numbers using scientific notation
Operations and Their Properties
8.1.5 Apply operation properties to simplify computations and solve problems; i.e., commutative, associative, and distributive
8.1.6 Apply the order of operations to simplify numeric expressions and solve problems
Computational Fluency and Estimation
8.1.7 Add, subtract, multiply, and divide integers
8.1.8 Select and use a computational technique (e.g., mental calculation, paper-and-pencil, technology) to solve problems
8.1.9 Determine when an estimate is sufficient and an exact answer is needed in problem situations

8.2 Geometry and Spatial Sense

Two- and Three-Dimensional Shapes, Geometric Properties and Relationships
8.2.1 Use nets to represent the relationships between two- and three-dimensional figures
8.2.2 Classify quadrilaterals based on side lengths, angle measures, and sets of parallel sides
- Geometry: Classify quadrilaterals (Eighth grade - Q.5)
8.2.3 Identify the angles formed and the relationships between the angles when parallel lines are intersected by a transversal
- Geometry: Transversal of parallel lines (Eighth grade - Q.3)
8.2.4 Apply the Pythagorean Theorem to problems involving right triangles
Coordinate Geometry
8.2.5 Represent shapes using coordinate geometry
Transformation and Symmetry
8.2.6 Draw the results of a combination of transformations in the coordinate plane; i.e., reflections, rotations, and translations
8.2.7 Use scale, proportion, and congruency to solve problems involving similar figures
Visualization, Spatial Reasoning, and Geometric Modeling
8.2.8 Use two-dimensional representations of three-dimensional objects to visualize and solve problems; e.g., those involving surface area and volume

8.3 Data Analysis, Statistics, and Probability

Data Collection, Display, and Interpretation
8.3.1 Formulate a question and select a random or representative sample
- Statistics: Identify representative, random, and biased samples (Eighth grade - BB.6)
8.3.2 Collect, organize, and display data using scatter and stem-and-leaf plot
- Charts and graphs: Interpret stem-and-leaf plots (Eighth grade - N.8)
- Charts and graphs: Scatter plots (Eighth grade - N.13)
Probability
8.3.3 Determine possible outcomes using organized lists, tree diagrams, Venn diagrams, factorials, and the basic counting principle
8.3.4 Distinguish between experimental and theoretical probability; i.e., the results of an experiment may not match the theoretical probability
Statistical Methods
8.3.5 Calculate and compare the measures of central tendency (i.e., mean, median, mode) and spread (i.e., range)
8.3.6 Identify an outlier within a set of data and discuss its effects on the measures of central tendency and spread
Predictions, Data Analysis and Inferences
8.3.7 Make inferences based on analysis of data and interpretation of graphs

8.4 Measurement

Measurable Attributes, Measurement Systems and Units
8.4.1 Select an appropriate degree of precision when using measurements for calculations
- Measurement: Precision (Eighth grade - L.5)
8.4.2 Compare unit measurements between systems, e.g., a yard is almost a meter
Measurement Tools, Techniques and Formulas
8.4.3 Use formulas to determine the surface area and volume of right cones and spheres

8.5 Algebra, Functions, and Patterns

Patterns, Relations, and Functions
8.5.1 Extend numerical patterns; e.g., Pascal's triangle and the Fibonacci sequence
Numeric and Algebraic Representations
8.5.2 Use variables, expressions and equations to represent problem situations
8.5.3 Apply the order of operations and the commutative, associative, and distributive properties to simplify algebraic expressions
8.5.4 Apply inverse operations and the properties of equality to solve multi-step equations and inequalities in one variable
Mathematical Modeling
8.5.5 Write multi-step equations and inequalities to represent problem situations
Rates of Change
8.5.6 Solve problems involving rates; i.e., speed equals distance divided by time (miles per hour)