North Dakota State Standards for Mathematics: Grade 3

ND.3.1. Number and Operation: Students understand and use basic and advanced concepts of number and number systems.

3.1.1. Numbers, Number Relationships, and Number Systems: Count and order numbers up to 10,000

3.1.2. Numbers, Number Relationships, and Number Systems: Read and write numerals to 10,000

3.1.3. Numbers, Number Relationships, and Number Systems: Represent numbers up to 10,000 in standard, expanded, and word form

3.1.4. Numbers, Number Relationships, and Number Systems: Identify the odd and even whole numbers from 0 to 10,000

3.1.5. Numbers, Number Relationships, and Number Systems: Identify place values from ten-thousands through the hundredths place

3.1.6. Numbers, Number Relationships, and Number Systems: Use symbols to compare whole numbers from 0 to 10,000, i.e., >, <, =

3.1.7. Numbers, Number Relationships, and Number Systems: Use mathematical terms when communicating about computations, i.e., factor, product, divisor, dividend, quotient

3.1.8. Numbers, Number Relationships, and Number Systems: Round numbers to tens, hundreds, and thousands

3.1.9. Numbers, Number Relationships, and Number Systems: Represent fractions and mixed numbers using words, numerals, and physical models

3.1.10. Numbers, Number Relationships, and Number Systems: Model, represent, and explain the concept of multiplication, i.e., repeated addition, rectangular arrays, and skip counting

3.1.11. Numbers, Number Relationships, and Number Systems: Model, represent, and explain the concept of division, i.e., repeated subtraction, rectangular arrays, and equal sharing

3.1.12. Numbers, Number Relationships, and Number Systems: Use a variety of methods and tools for problem solving, e.g., computing, including mental math, paper and pencil, calculator, manipulatives

3.1.13. Operations and Their Properties: Add and subtract whole numbers between 0 and 10,000

3.1.14. Operations and Their Properties: Model and use the commutative and associative properties of addition and multiplication

3.1.15. Operations and Their Properties: Apply the multiplication property of zero and one

3.1.16. Operations and Their Properties: Multiply two- and three-digit numbers by a single-digit number

3.1.17. Operations and Their Properties: Divide two- and three-digit numbers by single-digit number without remainders

3.1.18. Operations and Their Properties: Demonstrate the inverse relationships between multiplication and division

3.1.19. Operations and Their Properties: Add and subtract simple fractions with like denominators, e.g., 1/4 + 2/4 = 3/4

3.1.20. Computational Fluency and Estimation: Recall multiplication and division facts (0-10)

3.1.21. Computational Fluency and Estimation: Estimate whole number products and quotients

3.1.22. Computational Fluency and Estimation: Use estimation to determine if solutions are reasonable

ND.3.2. Geometry and Spatial Sense: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.

3.2.1. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Compare physical attributes of two-dimensional shapes, i.e., square, triangle, rectangle, and parallelogram

3.2.2. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Describe the characteristics of a cylinder, pyramid, cube, sphere, and cone

3.2.3. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Identify points, endpoints, lines, line segments, rays, and angles and use symbols to represent them

3.2.4. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Identify right angles

3.2.5. Coordinate Geometry: Use ordered pairs to identify the locations of points in a grid, e.g., A-10 on a map

3.2.6. Transformation and Symmetry: Identify and create shapes that have lines of symmetry

3.2.7. Transformation and Symmetry: Identify two-dimensional shapes that are congruent or similar

ND.3.3. Data Analysis, Statistics, and Probability: Students use data collection and analysis techniques, statistical methods, and probability to solve problems.

3.3.1. Data Collection, Display, and Interpretations: Identify different parts of a graph, i.e., label, scale, and data

3.3.2. Data Collection, Display, and Interpretations: Display and interpret graphs with symbols or pictures that represent more than one object or event

3.3.3. Data Collection, Display, and Interpretations: Solve problems based on data displayed on a graph

3.3.4. Data Collection, Display, and Interpretations: Recognize the elements in the union and intersection of sets represented by Venn diagrams

3.3.5. Probability: Use a simple probability experiment to collect data, display the data in a graph, and interpret the likelihood of the outcome

3.3.6. Predictions, Data Analysis, and Inferences: Determine which outcomes are most likely to occur in certain situations, e.g., spinning red is most likely to occur when the spinner is divided among red, blue, green, red

ND.3.4. Measurement: Students use concepts and tools of measurement to describe and quantify the world.

3.4.1. Measurable Attributes, Measurement Systems and Units: Tell time to the nearest minute using digital and analog clocks

3.4.2. Measurable Attributes, Measurement Systems and Units: Determine elapsed time by the hour

3.4.3. Measurable Attributes, Measurement Systems and Units: Count mixed coins and bills, i.e., $1, $5, $10, $20

3.4.4. Measurable Attributes, Measurement Systems and Units: Read and measure temperature with a thermometer using Fahrenheit and Celsius scales

3.4.5. Measurable Attributes, Measurement Systems and Units: Estimate and measure to the nearest half inch or centimeter

3.4.6. Measurable Attributes, Measurement Systems and Units: State specific relationships between units within the same measuring system, e.g., hours in a day, inches in a foot, cups in a pint

3.4.7. Measurable Attributes, Measurement Systems and Units: Estimate and measure perimeter, area, and volume using links, tiles, grid paper, geoboards, and dot paper

3.4.8. Measurement Tools, Techniques, and Formulas: Select a variety of tools for measuring length, weight, and capacity

ND.3.5. Algebra, Functions, and Patterns: Students use algebraic concepts, functions, patterns, and relationships to solve problems.

3.5.1. Patterns, Relations, and Functions: Use patterns to solve problems

3.5.2. Patterns, Relations, and Functions: Create patterns using multiplication

3.5.3. Patterns, Relations, and Functions: Determine the missing elements of a pattern of multiples

3.5.4. Numeric and Algebraic Representations: Solve addition, subtraction, multiplication, and division equations with unknown numbers, e.g., 8 x i= 56

3.5.5. Mathematical Modeling: Use symbols to write number sentences, i.e., +, -, >, <, =, x, and /