### NC.M4.N: Number and Quantity

#### NC.M4.N.1: Apply properties and operations with complex numbers.

NC.M4.N.1.1: Execute procedures to add and subtract complex numbers.

NC.M4.N.1.2: Execute procedures to multiply complex numbers.

#### NC.M4.N.2: Apply properties and operations with matrices and vectors.

NC.M4.N.2.1: Execute procedures of addition, subtraction, multiplication, and scalar multiplication on matrices.

NC.M4.N.2.2: Execute procedures of addition, subtraction, and scalar multiplication on vectors.

### NC.M4.AF: Algebra and Functions

#### NC.M4.AF.2: Apply properties of trigonometry to solve problems.

NC.M4.AF.2.1: Translate trigonometric expressions using the reciprocal and Pythagorean identities.

NC.M4.AF.2.3: Interpret key features (amplitude, period, phase shift, vertical shifts, midline, domain, range) of models using sine and cosine functions in terms of a context.

#### NC.M4.AF.3: Apply the properties and key features of logarithmic functions.

NC.M4.AF.3.3: Interpret key features of a logarithmic function using multiple representations.

#### NC.M4.AF.4: Understand the properties and key features of piecewise functions.

NC.M4.AF.4.2: Construct piecewise functions to model a contextual situation.

#### NC.M4.AF.5: Understand how to model functions with regression.

NC.M4.AF.5.1: Construct regression models of linear, quadratic, exponential, logarithmic, & sinusoidal functions of bivariate data using technology to model data and solve problems.

NC.M4.AF.5.2: Compare residuals and residual plots of non-linear models to assess the goodness-of-fit of the model.

### NC.M4.SP: Statistics and Probability

#### NC.M4.SP.1: Create statistical investigations to make sense of real world phenomenon.

NC.M4.SP.1.1: Construct statistical questions to guide explorations of data in context.

NC.M4.SP.1.2: Design sample surveys and comparative experiments using sampling methods to collect and analyze data to answer a statistical question.

#### NC.M4.SP.2: Apply informal and formal statistical inference to make sense of, and make decisions in, meaningful real world contexts.

NC.M4.SP.2.1: Design a simulation to make a sampling distribution that can be used in making informal statistical inferences.

#### NC.M4.SP.3: Apply probability distributions in making decisions in uncertainty.

NC.M4.SP.3.1: Implement discrete probability distributions to model random phenomenon and make decisions (e.g., expected value of playing a game, etc.).

NC.M4.SP.3.2: Implement the binomial distribution to model situations and make decisions.

Correlation last revised: 4/1/2022

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.