North Dakota State Standards for Mathematics: Grade 6

ND.6.1. Number and Operation: Students understand and use basic and advanced concepts of number and number systems.

6.1.1. Numbers, Number Relationships, and Number Systems: Use a fraction to represent parts of a whole, division, or a ratio

6.1.2. Numbers, Number Relationships, and Number Systems: Explain and use whole number percents 1 to 100

6.1.3. Numbers, Number Relationships, and Number Systems: Find the equivalent forms among fractions, decimals, and whole number percents

6.1.4. Numbers, Number Relationships, and Number Systems: Compare and order fractions, decimals, mixed numbers and integers

6.1.5. Numbers, Number Relationships, and Number Systems: Generate a list of factors, prime factors, and multiples

6.1.6. Numbers, Number Relationships, and Number Systems: Use rules to determine divisibility by 2, 3, 5, 6, 9, and 10

6.1.7. Operations and Their Properties: Explain the effects of arithmetic operations on fractions and decimals

6.1.8. Operations and Their Properties: Identify the uses of the commutative and associative properties of addition and multiplication, e.g., grouping numbers to make addition or multiplication easier

6.1.9. Operations and Their Properties: Use order of operations, i.e., multiplication, division, addition and subtraction, to simplify numeric expressions

6.1.10. Computational Fluency and Estimation: Multiply and divide decimals

6.1.11. Computational Fluency and Estimation: Add, subtract, multiply, and divide fractions

6.1.12. Computational Fluency and Estimation: Express an exponent in standard form

6.1.13. Computational Fluency and Estimation: Use problem solving strategies to solve and verify the results of problems

6.1.14. Computational Fluency and Estimation: Estimate the results of problems involving whole numbers, fractions, and decimals

ND.6.2. Geometry and Spatial Sense: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.

6.2.1. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Identify relationships between pairs of angles, i.e., adjacent, vertical, complementary, and supplementary

6.2.2. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Identify polygons, i.e., triangle, rectangle, square, rhombus, parallelogram, trapezoid, pentagon, hexagon, octagon

6.2.3. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Describe the characteristics of a right triangle

6.2.4. Coordinate Geometry: Use ordered pairs to locate a point on a coordinate plane

6.2.5. Transformation and Symmetry: Identify, describe, and model motion geometry, i.e., rotations, reflections, and translations

6.2.6. Visualization, Spatial Reasoning, and Geometric Modeling: Draw basic geometric figures using appropriate tools, i.e., circle with a compass, triangle and rectangle with a ruler or straight edge

ND.6.3. Data Analysis, Statistics, and Probability: Students use data collection and analysis techniques, statistical methods, and probability to solve problems.

6.3.1. Data Collection, Display, and Interpretation: Collect and organize data, select and use an appropriate display, i.e., a frequency table, a line and bar graph

6.3.2. Probability: Count possible outcomes using lists

6.3.3. Probability: Use experiments or simulations to determine probabilities

6.3.4. Probability: Use decimal values and ratios to represent probability

6.3.5. Statistical Methods: Calculate the mean, median, mode, and range of a set of data

6.3.6. Predictions, Data Analysis, and Inferences: Make predictions based on trends identified in tables and graphs

ND.6.4. Measurement: Students use concepts and tools of measurement to describe and quantify the world.

6.4.1. Measurable Attributes, Measurement Systems and Units: Measure length to the nearest sixteenth of an inch

6.4.2. Measurable Attributes, Measurement Systems and Units: Select an appropriate unit of measure, e.g., What unit do you use to measure a person's height?

6.4.3. Measurable Attributes, Measurement Systems and Units: Convert unit measurements within the same system (metric and standard)

6.4.4. Measurable Attributes, Measurement Systems and Units: Distinguish among perimeter, area, surface area, and volume

6.4.5. Measurement Tools, Techniques, and Formulas: Select appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume

6.4.6. Measurement Tools, Techniques, and Formulas: Use formulas to determine the circumference and area of circles and the perimeter and area of triangles and parallelograms

6.4.7. Measurement Tools, Techniques, and Formulas: Use area formulas to determine the surface area of right prisms and square pyramids

6.4.8. Measurement Tools, Techniques, and Formulas: Use formulas to determine the volume of rectangular prisms

ND.6.5. Algebra, Functions, and Patterns: Students use algebraic concepts, functions, patterns, and relationships to solve problems.

6.5.1. Patterns, Relations, and Functions: Identify and describe patterns represented by tables, graphs, and sequences

6.5.2. Numeric and Algebraic Representations: Use a variable to represent an unknown quantity

6.5.3. Mathematical Modeling: Use representations to solve problems, i.e., tables and numerical sentences

6.5.4. Rates of Change: Recognize examples of change over time, e.g., growth of a sixth grader from September to May