North Dakota State Standards for Mathematics: Grade 11
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.11.1. Number and Operation: Students understand and use basic and advanced concepts of number and number systems.
11.1.1. Numbers, Number Relationships, and Number Systems: Translate between radical expressions and expressions involving rational exponents
11.1.2. Numbers, Number Relationships, and Number Systems: Describe the hierarchal relationships (e.g., explain why real numbers are complex) among subsets of the complex number system, i.e., complex, real, and imaginary
11.1.3. Numbers, Number Relationships, and Number Systems: Use imaginary numbers to express square roots of negative numbers
11.1.4. Numbers, Number Relationships, and Number Systems: Justify the steps of an algebraic process using the properties of the real number system, e.g., write an algebraic proof
11.1.5. Operations and Their Properties: Determine which properties of the real number system hold for matrices, e.g., matrix multiplication is not commutative
11.1.6. Operations and Their Properties: Apply basic properties of exponents and logarithms to rewrite algebraic expressions, i.e., power of a product, power of a power, products and quotients of powers, zero and negative exponents, and log of a product, quotient, or power
11.1.7. Computational Fluency and Estimation: Add, subtract, and multiply complex numbers
11.1.8. Computational Fluency and Estimation: Multiply matrices containing no more than three rows or columns without the use of technology
ND.11.2. Geometry and Spatial Sense: Students understand and apply geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations.
11.2.1. Two- And Three-Dimensional Shapes, Geometric Properties and Relationships: Use trigonometric relationships to determine side lengths and angle measures in triangles, i.e., right triangle trigonometry, Law of Sines, and Law of Cosines
ND.11.3. Data Analysis, Statistics, and Probability: Students use data collection and analysis techniques, statistical methods, and probability to solve problems.
11.3.1. Data Collection, Display, and Interpretation: Choose, construct, and interpret a display to represent a set of data
11.3.2. Probability: Make predictions based on theoretical probabilities and experimental results
11.3.3. Statistical Methods: Select, calculate, and use appropriate measures of central tendency and spread (i.e., mean, median, mode, range, and quartiles) to draw meaningful conclusions about a set of data
11.3.4. Predictions, Data Analysis, and Inferences: Given a set of data exhibiting a linear trend, approximate an equation for the line of best fit (with or without technology) and use that model to make predictions
ND.11.4. Measurement: Students use concepts and tools of measurement to describe and quantify the world.
11.4.1. Measurable Attributes, Measurement Systems and Units: No further expectations
11.4.2. Measurement Tools, Techniques, and Formulas: No further expectations
ND.11.5. Algebra, Functions, and Patterns: Students use algebraic concepts, functions, patterns, and relationships to solve problems.
11.5.1. Patterns, Relations, and Functions: Perform advanced operations (i.e., composition and finding inverses) on algebraic functions
11.5.2. Patterns, Relations, and Functions: Generate graphs of a variety of functions (i.e., linear, quadratic, polynomial, absolute value, and exponential), using technology when appropriate
11.5.3. Numeric and Algebraic Representations: Solve quadratic equations involving complex roots
11.5.4. Numeric and Algebraic Representations: Use transformations (i.e., reflection, translation, dilation) to graph linear, quadratic, and absolute value functions
11.5.5. Numeric and Algebraic Representations: Given the graph of a transformed linear, quadratic, or absolute value function, write its equation
11.5.6. Mathematical Modeling: Determine and write an equation for a function (i.e., linear, quadratic, polynomial, absolute value, and exponential) that models a mathematical relationship