### 6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

#### 6.A: Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.5: Perform addition, subtraction and multiplication of complex numbers and graph the results in the complex plane.

Points in the Complex Plane

### 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

#### 8.A: Describe numerical relationships using variables and patterns.

8.A.5: Solve mathematical problems involving recursive patterns and use models that employ such relationships.

Arithmetic Sequences

Geometric Sequences

#### 8.B: Interpret and describe numerical relationships using tables, graphs and symbols.

8.B.5: Use functions including exponential, polynomial, rational, parametric, logarithmic, and trigonometric to describe numerical relationships.

Compound Interest

Exponential Functions

General Form of a Rational Function

Graphs of Polynomial Functions

Logarithmic Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Rational Functions

#### 8.C: Solve problems using systems of numbers and their properties.

8.C.5: Use polynomial, exponential, logarithmic and trigonometric functions to model situations.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

### 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

#### 9.C: Construct convincing arguments and proofs to solve problems.

9.C.5b: Apply physical models, graphs, coordinate systems, networks and vectors to develop solutions in applied contexts (e.g., bus routing, areas of irregular shapes, describing forces and other physical quantities).

Points in the Coordinate Plane

### 10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

#### 10.B: Formulate questions, design data collection methods, gather and analyze data and communicate findings.

10.B.5: Design a statistical experiment to answer a question about a realistic situation, conduct the experiment, use statistics to interpret the data, and communicate the results, individually and as members of a team.

Correlation

#### 10.C: Determine, describe and apply the probabilities of events.

10.C.5a: Compute conditional probabilities and the probabilities of independent events.

Binomial Probabilities

Independent and Dependent Events

10.C.5b: Compute probabilities in counting situations involving permutations and combinations.

Binomial Probabilities

Permutations and Combinations

10.C.5c: Make predictions using probabilities associated with normally distributed events.

Polling: City

Correlation last revised: 5/10/2018