### 1: Number and Operations

#### 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 to simplify expressions or solve equations

#### 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, exponential and quadratic functions (include domain and range)

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on quadratic 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 quadratic relationships, including 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 (piece-wise and quadratic)

2.2.D: Utilize systems

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

#### 2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: analyze quadratic functions by investigating rates of change, intercepts and zeros

### 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 inductive and deductive reasoning to establish the validity of geometric conjectures, proved theorems and critique arguments made by others

3.1.B: Apply geometric relationships

3.1.B.1: apply relationships among surface areas and among volumes of similar objects

#### 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 constructions to represent translations, reflections, rotations, and dilations of objects

3.3.B: Use transformations on functions

3.3.B.1: translate, dilate and reflect quadratic and exponential functions

3.3.C: Use symmetry

3.3.C.1: identify types of symmetries of 2- and 3- dimensional figures

### 4: Measurement

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

4.2.B: Use angle measurement

4.2.B.1: solve problems of angle measure of parallel lines cut by a transversal

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: display and analyze bivariate data where one variable is categorical and the other is numerical

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

5.3.A: Develop and evaluate inferences

5.3.A.1: describe how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal inference

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

5.4.A: Apply basic concepts of probability

5.4.A.1: describe the concepts of sample space and probability distribution

5.4.B: Use and describe compound events

5.4.B.1: use and describe the concepts of conditional probability and independent events

Correlation last revised: 10/24/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.