### 1: Number and Operations

#### 1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

1.1.C: Compose and decompose numbers

1.1.C.1: use vectors and matrices as systems and compare their properties to the real-number system

#### 1.3: Compute fluently and make reasonable estimates

1.3.E: Use proportional reasoning

1.3.E.1: solve problems involving proportions

### 2: Algebraic Relationships

#### 2.1: Understand patterns, relations, and functions

2.1.B: Create and analyze patterns

2.1.B.1: generalize patterns using explicitly or recursively defined functions

2.1.D: Identify and compare functions

2.1.D.1: understand and compare the properties of exponential, polynomial, rational, logarithmic, and periodic functions

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on polynomial and periodic function

#### 2.2: Represent and analyze mathematical situations and structures using algebraic symbols

2.2.A: Represent mathematical situations

2.2.A.1: use symbolic algebra to represent and solve problems that involve periodic relationships, including recursive and parametric relationships

2.2.B: Describe and use mathematical manipulation

2.2.B.1: describe and use algebraic manipulations, including inverse of functions, composition of functions

2.2.C: Utilize equivalent forms

2.2.C.1: use and solve equivalent forms of equations and inequalities (polynomial and trigonometric)

2.2.D: Utilize systems

2.2.D.1: use and solve systems of equations or inequalities

#### 2.3: Use mathematical models to represent and understand quantitative relationships

2.3.A: Use mathematical models

2.3.A.1: identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem (including recursive forms)

#### 2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: analyze rational, polynomial and periodic functions by investigating rates of change, intercepts and asymptotes

### 3: Geometric and Spatial Relationships

#### 3.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships

3.1.A: Describe and use geometric relationships

3.1.A.1: use trigonometric relationships to determine lengths and angle measures in all types of triangles

#### 3.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems

3.2.A: Use coordinate systems

3.2.A.1: use Cartesian coordinates and other coordinate systems to analyze geometric situations, such as navigational, polar or spherical systems

#### 3.3: Apply transformations and use symmetry to analyze mathematical situations

3.3.B: Use transformations on functions

3.3.B.1: perform simple transformations and their compositions on linear, quadratic, logarithmic, exponential, rational and periodic functions

### 5: Data and Probability

#### 5.2: Select and use appropriate statistical methods to analyze data

5.2.C: Represent data algebraically

5.2.C.1: create a scatterplot, describe its shape, determine and analyze regression equations using technological tools

#### 5.4: Understand and apply basic concepts of probability

5.4.A: Apply basic concepts of probability

5.4.A.1: use simulations to construct empirical probability distributions

Correlation last revised: 10/24/2008

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