### 1: Number and Operations

#### 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 linear, quadratic, exponential, logarithmic and rational functions (include asymptotes)

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on logarithmic and exponential functions

#### 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 exponential and logarithmic 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 and rules of exponents

2.2.C: Utilize equivalent forms

2.2.C.1: use and solve equivalent forms of equations and inequalities (exponential, logarithmic and rational)

2.2.D: Utilize systems

2.2.D.1: use and solve systems of linear and quadratic equations or inequalities with 2 variables

#### 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 exponential and logarithmic 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 with right triangles to determine lengths and angle measures

3.1.B: Apply geometric relationships

3.1.B.1: determine the effect on surface area or volume of changing one measurement

#### 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 vectors to represent and analyze problems involving velocity and direction

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

3.3.A: Use transformations on objects

3.3.A.1: use and apply matrices to represent translations, reflections, rotations, and dilations

3.3.B: Use transformations on functions

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

### 4: Measurement

#### 4.2: Apply appropriate techniques, tools and formulas to determine measurements.

4.2.E: Use relationships within a measurement system

4.2.E.1: use unit analysis to solve problems involving rates, such as speed, density or population density

### 5: Data and Probability

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

5.2.B: Compare data representations

5.2.B.1: given one variable quantitative data, display the distribution, describe its shape and calculate summary statistics

5.2.C: Represent data algebraically

5.2.C.1: given a scatterplot, determine a type of function which models the data

#### 5.3: Develop and evaluate inferences and predictions that are based on data

5.3.A: Develop and evaluate inferences

5.3.A.1: use simulations to describe the variability of sample statistics from a known population and to construct sampling distributions

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

5.4.B: Use and describe compound events

5.4.B.1: use and describe how to compute the probability of a compound event

Correlation last revised: 10/24/2008

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