### 1: Number and Operations

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

1.1.A: Read, write and compare numbers

1.1.A.1: compare and order rational and irrational numbers, including finding their approximate locations on a number line

#### 1.2: Understand meanings of operations and how they relate to one another

1.2.C: Apply properties of operations

1.2.C.1: apply properties of exponents (including order of operations) to simplify expressions

#### 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 and exponential functions (include intercepts)

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on linear 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 linear relationships, including absolute value and recursive relationships

2.2.B: Describe and use mathematical manipulation

2.2.B.1: describe and use algebraic manipulations, including factoring and rules of integer exponents

2.2.C: Utilize equivalent forms

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

2.2.D: Utilize systems

2.2.D.1: use and solve systems of linear equations 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

#### 2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: analyze linear functions by investigating rates of change and intercepts

### 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: solve problems involving angle relationships (supplementary, complementary angles) and Pythagorean Theorem

3.1.B: Apply geometric relationships

3.1.B.1: apply geometric properties and relationships, such as similarity, to solve multi-step problems in 2 dimensions

#### 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: solve problems related to 2- dimensional objects by finding the distance on a Cartesian plane

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

3.3.A: Use transformations on objects

3.3.A.1: represent translations, reflections, rotations, and dilations of objects in the coordinate plane

3.3.B: Use transformations on functions

3.3.B.1: translate and reflect linear functions

### 4: Measurement

#### 4.1: Understand measurable attributes of objects and the units, systems and processes of measurement

4.1.A: Determine unit of measurement

4.1.A.1: identify and justify appropriate units of measure for velocity

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

4.2.C: Apply geometric measurements

4.2.C.1: determine the surface area, and volume of geometric figures, including cones, spheres, and cylinders

4.2.D: Analyze precision

4.2.D.1: analyze effects of computation on precision

### 5: Data and Probability

#### 5.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

5.1.C: Represent and interpret data

5.1.C.1: select, create and use appropriate graphical representation of data

#### 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 and describe its shape

5.2.C: Represent data algebraically

5.2.C.1: given a scatterplot, determine an equation for a line of best fit

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

5.3.A: Develop and evaluate inferences

5.3.A.1: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit

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

5.4.A: Apply basic concepts of probability

5.4.A.1: construct sample spaces and distributions

Correlation last revised: 10/24/2008

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