North Dakota State Standards for Mathematics: Grade 8
Currently Perma-Bound only has suggested titles for grades K-8 in the Science and Social Studies areas. We are working on expanding this.
ND.8.1. Number and Operation: Students understand and use basic and advanced concepts of number and number systems.
8.1.1. Numbers, Number Relationships, and Number Systems: Identify subsets of the real number system, i.e., natural and whole numbers, integers, rational and irrational numbers
8.1.2. Numbers, Number Relationships, and Number Systems: Solve real-world problems involving ratio, proportion, and percent
8.1.3. Numbers, Number Relationships, and Number Systems: Identify perfect squares 1 to 144 and approximate square roots
8.1.4. Numbers, Number Relationships, and Number Systems: Represent large and small numbers using scientific notation
8.1.5. Operations and Their Properties: Apply operation properties to simplify computations and solve problems, i.e., commutative, associative, and distributive
8.1.6. Operations and Their Properties: Apply the order of operations to simplify numeric expressions and solve problems
8.1.7. Computational Fluency and Estimation: Add, subtract, multiply, and divide integers
8.1.8. Computational Fluency and Estimation: Select and use a computational technique (e.g., mental calculation, paper-and-pencil, technology) to solve problems
8.1.9. Computational Fluency and Estimation: Determine when an estimate is sufficient and an exact answer is needed in problem situations
ND.8.2. Geometry and Spatial Sense: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.
8.2.1. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Use nets to represent the relationships between two- and three-dimensional figures
8.2.2. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Classify quadrilaterals based on side lengths, angle measures, and sets of parallel sides
8.2.3. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Identify the angles formed and the relationships between the angles when parallel lines are intersected by a transversal
8.2.4. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Apply the Pythagorean Theorem to problems involving right triangles
8.2.5. Coordinate Geometry: Represent shapes using coordinate geometry
8.2.6. Transformation and Symmetry: Draw the results of a combination of transformations in the coordinate plane, i.e., reflections, rotations, and translations
8.2.7. Transformation and Symmetry: Use scale, proportion, and congruency to solve problems involving similar figures
8.2.8. Visualization, Spatial Reasoning, and Geometric Modeling: Use two-dimensional representations of three-dimensional objects to visualize and solve problems, e.g., those involving surface area and volume
ND.8.3. Data Analysis, Statistics, and Probability: Students use data collection and analysis techniques, statistical methods, and probability to solve problems.
8.3.1. Data Collection, Display, and Interpretation: Formulate a question and select a random or representative sample
8.3.2. Data Collection, Display, and Interpretation: Collect, organize, and display data using scatter and stem-and-leaf plot
8.3.3. Probability: Determine possible outcomes using organized lists, tree diagrams, Venn diagrams, factorials, and the basic counting principle
8.3.4. Probability: Distinguish between experimental and theoretical probability, i.e., the results of an experiment may not match the theoretical probability
8.3.5. Statistical Methods: Calculate and compare the measures of central tendency (i.e., mean, median, mode) and spread (i.e., range)
8.3.6. Statistical Methods: Identify an outlier within a set of data and discuss its effects on the measures of central tendency and spread
8.3.7. Predictions, Data Analysis, and Inferences: Make inferences based on analysis of data and interpretation of graphs
ND.8.4. Measurement: Students use concepts and tools of measurement to describe and quantify the world.
8.4.1. Measurable Attributes, Measurement Systems and Units: Select an appropriate degree of precision when using measurements for calculations
8.4.2. Measurable Attributes, Measurement Systems and Units: Compare unit measurements between systems, e.g., a yard is almost a meter
8.4.3. Measurement Tools, Techniques, and Formulas: Use formulas to determine the surface area and volume of right cones and spheres
ND.8.5. Algebra, Functions, and Patterns: Students use algebraic concepts, functions, patterns, and relationships to solve problems.
8.5.1. Patterns, Relations, and Functions: Extend numerical patterns, e.g., Pascal's triangle and the Fibonacci sequence
8.5.2. Numeric and Algebraic Representations: Use variables, expressions, and equations to represent problem situations
8.5.3. Numeric and Algebraic Representations: Apply the order of operations and the commutative, associative, and distributive properties to simplify algebraic expressions
8.5.4. Numeric and Algebraic Representations: Apply inverse operations and the properties of equality to solve multi-step equations and inequalities in one variable
8.5.5. Mathematical Modeling: Write multi-step equations and inequalities to represent problem situations
8.5.6. Rates of Change: Solve problems involving rates, i.e., speed equals distance divided by time (miles per hour)