North Dakota State Standards for Mathematics: Grade 4

ND.4.1. Number and Operation: Students understand and use basic and advanced concepts of number and number systems.

4.1.1. Numbers, Number Relationships, and Number Systems: Identify place value from hundred thousands through the hundredths place

4.1.2. Numbers, Number Relationships, and Number Systems: Order and compare using symbols, i.e., >, <, =, whole numbers (0 to 100,000) and decimals to hundredths

4.1.3. Numbers, Number Relationships, and Number Systems: Read and write numerals to 100,000

4.1.4. Numbers, Number Relationships, and Number Systems: Round whole numbers to the nearest tens, hundreds, thousands, ten thousands, and hundred thousands

4.1.5. Numbers, Number Relationships, and Number Systems: Represent numbers up to hundred thousands in standard and expanded forms

4.1.6. Numbers, Number Relationships, and Number Systems: Write tenths and hundredths as decimals and fractions

4.1.7. Numbers, Number Relationships, and Number Systems: Compare equivalent decimals and fractions, e.g., 5/10 = .5

4.1.8. Numbers, Number Relationships, and Number Systems: Use mathematical terms when communicating about computations involving fractions, i.e., numerator and denominator

4.1.9. Numbers, Number Relationships, and Number Systems: Explain the meaning of remainders in real-world situations

4.1.10. Numbers, Number Relationships, and Number Systems: Determine what information is relevant for solving a problem

4.1.11. Numbers, Number Relationships, and Number Systems: Use a variety of strategies to solve problems, e.g., guess and check, work backwards, draw pictures, use objects

4.1.12. Operations and Their Properties: Add and subtract whole numbers between 0 and 100,000

4.1.13. Operations and Their Properties: Multiply multi-digit numbers by two-digit numbers

4.1.14. Operations and Their Properties: Divide multi-digit numbers by a single-digit number

4.1.15. Operations and Their Properties: Add and subtract fractions and mixed numbers with like denominators

4.1.16. Operations and Their Properties: Add and subtract decimals

4.1.17. Operations and Their Properties: Use the distributive property to simplify and perform computations

4.1.18. Computational Fluency and Estimation: Determine when a rounded solution is appropriate

4.1.19. Computational Fluency and Estimation: Estimate computations of whole numbers, fractions, and decimals

ND.4.2. Geometry and Spatial Sense: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.

4.2.1. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Analyze and describe the attributes of two- and three-dimensional shapes, (i.e., circle, squares, trapezoid, rhombus)

4.2.2. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Identify, describe, and model (e.g., using straws or other materials) parallel, perpendicular, and intersecting lines and line segments

4.2.3. Transformation and Symmetry: Recognize the changes in position and orientation of two-dimensional figures after transformations, i.e., flips (reflections), turns (rotations), and slides (translations)

4.2.4. Transformation and Symmetry: Use motion geometry to show that shapes are congruent or similar

ND.4.3. Data Analysis, Statistics, and Probability: Students use data collection and analysis techniques, statistical methods, and probability to solve problems.

4.3.1. Data Collection, Display and Interpretation: Determine a sample group to survey

4.3.2. Data Collection, Display and Interpretation: Collect and record data

4.3.3. Data Collection, Display and Interpretation: Organize and display data in line graphs and circle graphs

4.3.4. Data Collection, Display and Interpretation: Read, interpret, and generate questions from data displayed in graphs, i.e., line graphs and circle graphs

4.3.5. Data Collection, Display and Interpretation: Use computers and spreadsheets to organize and display data

4.3.6. Data Collection, Display and Interpretation: Use number lines and coordinate graphs to represent data

4.3.7. Probability: Conduct simple probability experiments

4.3.8. Statistical Methods: Determine or calculate the mode, mean/average, and range for a data set

4.3.9. Predictions, Data Analysis, and Inferences: Make predictions and draw conclusions from simple probability experiments

ND.4.4. Measurement: Students use concepts and tools of measurement to describe and quantify the world.

4.4.1. Measurable Attributes, Measurement Systems and Units: State specific relationships between units within the same measuring system, e.g., feet to yards, minutes to hours, milliliters to liters

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

4.4.3. Measurable Attributes, Measurement Systems and Units: Analyze relationships between perimeter and area

4.4.4. Measurable Attributes, Measurement Systems and Units: Make change up to $20.00

4.4.5. Measurable Attributes, Measurement Systems and Units: Apply the concept of elapsed time, i.e., schedules and calendars

4.4.6. Measurement Tools, Techniques, and Formulas: Select appropriate units for measuring perimeter, area, and volume

ND.4.5. Algebra, Functions, and Patterns: Students use algebraic concepts, functions, patterns, and relationships to solve problems.

4.5.1. Patterns, Relations, and Functions: Determine the missing elements of complex repeating patterns

4.5.2. Numeric and Algebraic Representations: Explain that variables represent unknowns

4.5.3. Mathematical Modeling: Solve problems with variables

4.5.4. Mathematical Modeling: Use parentheses in solving simple equations