North Dakota State Standards for Mathematics: Grade 5

ND.5.1. Number and Operation: Students understand and use basic and advanced concepts of number and number systems.

5.1.1. Numbers, Number Relationships, and Number Systems: Identify place value from the billions through the thousandths place

5.1.2. Numbers, Number Relationships, and Number Systems: Order and compare whole numbers using symbols

5.1.3. Numbers, Number Relationships, and Number Systems: Round whole numbers to the nearest million

5.1.4. Numbers, Number Relationships, and Number Systems: Read and represent numbers to 1,000,000 in standard, expanded, and short word form

5.1.5. Numbers, Number Relationships, and Number Systems: Place integers on a number line

5.1.6. Numbers, Number Relationships, and Number Systems: Use negative integers in real-world situations, e.g., thermometer reading, yardage in a football game

5.1.7. Numbers, Number Relationships, and Number Systems: Identify prime and composite numbers

5.1.8. Numbers, Number Relationships, and Number Systems: Round, order, and compare, using symbols, fractions with like and unlike denominators

5.1.9. Numbers, Number Relationships, and Number Systems: Round, order, and compare, using symbols, decimals to the tenths, hundredths, and thousandths place

5.1.10. Numbers, Number Relationships, and Number Systems: Explain and demonstrate the concept of a percent

5.1.11. Numbers, Number Relationships, and Number Systems: Compare equivalent fractions, decimals, and percents, e.g., 75/100 = .75 = 75%

5.1.12. Numbers, Number Relationships, and Number Systems: Represent ratios and percents as parts of a whole using models and pictures

5.1.13. Numbers, Number Relationships, and Number Systems: Explain and demonstrate the relationship between exponential notation and repeated multiplication, e.g., 32 = 3 x 3

5.1.14. Operations and Their Properties: Add and subtract whole numbers between 0 and 1,000,000

5.1.15. Operations and Their Properties: Use commutative, associative, and identity properties to solve problems

5.1.16. Operations and Their Properties: Use divisibility rules for 2, 5, and 10

5.1.17. Operations and Their Properties: Determine the prime factors for a number using a factor tree

5.1.18. Operations and Their Properties: Determine least common multiple

5.1.19. Operations and Their Properties: Determine greatest common factor

5.1.20. Operations and Their Properties: Use order of operations to simplify numeric expressions

5.1.21. Operations and Their Properties: Multiply multi-digit numbers by three-digit numbers

5.1.22. Operations and Their Properties: Divide multi-digit numbers by two-digit numbers with or without remainders

5.1.23. Operations and Their Properties: Add and subtract improper fractions and mixed numbers with unlike denominators

5.1.24. Operations and Their Properties: Add and subtract multi-digit decimals

5.1.25. Operations and Their Properties: Multiply and divide multi-digit decimals

ND.5.2. Geometry and Spatial Sense: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.

5.2.1. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Describe properties and attributes of two- and three-dimensional figures, i.e., obtuse angle, acute angle, radius, chord, diagonal, equilateral triangle, isosceles triangle, parallel lines, perpendicular lines

5.2.2. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Draw circles using a compass, and identify the components, i.e., radius, chord, diameter, center, and circumference

5.2.3. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Identify the attributes of an angle and draw angles using protractors

5.2.4. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Determine the degrees of the interior angles of triangles and quadrilaterals

5.2.5. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Determine the characteristics of, and the relationships among, points, lines, line segments, rays, and planes

5.2.6. Coordinate Geometry: Use ordered pairs in quadrant 1 of a coordinate grid

5.2.7. Transformation and Symmetry: Describe properties of congruent figures and use them to solve problems

ND.5.3. Data Analysis, Statistics, and Probability: Students use data collection and analysis techniques, statistical methods, and probability to solve problems.

5.3.1. Data Collection, Display, and Interpretation: Read and interpret bar, line, and circle graphs, pictographs, and frequency tables

5.3.2. Probability: Determine the probability of a simple event and express it as a ratio

5.3.3. Probability: State possible outcomes for a given situation

5.3.4. Probability: Determine possible arrangements of four or fewer items

5.3.5. Statistical Methods: Determine or calculate the mode, mean, and range of a set of data

5.3.6. Predictions, Data Analysis, and Inferences: Make predictions and draw conclusions based on data collected from a sample group

ND.5.4. Measurement: Students use concepts and tools of measurement to describe and quantify the world.

5.4.1. Measurable Attributes, Measurement Systems and Units: Estimate and measure length to the nearest eighth inch

5.4.2. Measurable Attributes, Measurement Systems and Units: Measure and apply elapsed time, i.e., time zones, schedules, and calendars

5.4.3. Measurable Attributes, Measurement Systems and Units: Measure angles using protractors

5.4.4. Measurable Attributes, Measurement Systems and Units: Estimate angle measures using the benchmark angles 45 degrees, 90 degrees, 180 degrees, 270 degrees, and 360 degrees

5.4.5. Measurement Tools, Techniques, and Formulas: Select and use appropriate units when measuring length, area, and volume

5.4.6. Measurement Tools, Techniques, and Formulas: Use formulas to calculate the perimeter and area of squares and rectangles

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

ND.5.5. Algebra, Functions, and Patterns: Students use algebraic concepts, functions, patterns, and relationships to solve problems.

5.5.1. Patterns, Relations, and Functions: Analyze patterns represented by tables and graphs

5.5.2. Patterns, Relations, and Functions: Identify a rule for a pattern involving addition, subtraction, or multiplication

5.5.3. Patterns, Relations, and Functions: Identify the rule for a pattern and then use the rule to solve a problem

5.5.4. Numeric and Algebraic Representations: Identify a variable in an expression

5.5.5. Mathematical Modeling: Use equations to solve problems, e.g., 28/x=7