### 1: Number, Number Sense and Operations

#### 1.C: Apply factorials and exponents, including fractional exponents, to solve practical problems.

1.C.2: Apply combinations as a method to create coefficients for the Binomial Theorem, and make connections to everyday and workplace problem situations.

### 3: Geometry and Spatial Sense

#### 3.A: Use trigonometric relationships to verify and determine solutions in problem situations.

3.A.3: Relate graphical and algebraic representations of lines, simple curves and conic sections.

#### 3.B: Represent transformations within a coordinate system using vectors and matrices.

3.B.1: Use matrices to represent translations, reflections, rotations, dilations and their compositions.

### 4: Patterns, Functions and Algebra

#### 4.A: Analyze functions by investigating rates of change, intercepts, zeros, asymptoes, and local and global behavior.

4.A.1: Analyze the behavior of arithmetic and geometric sequences and series as the number of terms increases.

4.A.3: Describe and compare the characteristics of transcendental and periodic functions; e.g., general shape, number of roots, domain and range, asymptotic behavior, extrema, local and global behavior.

4.A.4: Represent the inverse of a transcendental function symbolically.

#### 4.C: Use recursive functions to model and solve problems; e.g., home mortgages, annuities.

4.C.8: Compare estimates of the area under a curve over a bounded interval by partitioning the region with rectangles; e.g., make successive estimates using progressively smaller rectangles.

#### 4.D: Apply algebraic methods to represent and generalize problem situations involving vectors and matrices.

4.D.5: Set up and solve systems of equations using matrices and graphs, with and without technology.

### 5: Data Analysis and Probability

#### 5.A: Create and analyze tabular and graphical displays of data using appropriate tools, including spreadsheets and graphing calculators.

5.A.4: Apply the concept of a random variable to generate and interpret probability distributions, including binomial, normal and uniform.

#### 5.B: Use descriptive statistics to analyze and summarize data, including measures of center, dispersion, correlation and variability.

5.B.3: Describe the shape and find all summary statistics for a set of univariate data, and describe how a linear transformation affects shape, center and spread.

#### 5.C: Design and perform a statistical experiment, simulation or study; collect and interpret data; and use descriptive statistics to communicate and support predictions and conclusions.

5.C.1: Identify and use various sampling methods (voluntary response, convenience sample, random sample, stratified random sample, census) in a study.

5.C.5: Use sampling distributions as the basis for informal inference.

#### 5.D: Connect statistical techniques to applications in workplace and consumer situations.

5.D.6: Use theoretical or experimental probability, including simulations, to determine probabilities in real-world problem situations involving uncertainty, such as mutually exclusive events, complementary events and conditional probability.

### 6: Mathematical Processes

#### 6.J: Apply mathematical modeling to workplace and consumer situations, including problem formulation, identification of a mathematical model, interpretation of solution within the model, and validation to original problem situation.

Correlation last revised: 8/29/2016

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