### 1: The student will demonstrate the ability to investigate, interpret, and communicate solutions to mathematical and real-world problems using patterns, functions, and algebra.

#### 1.1: The student will analyze a wide variety of patterns and functional relationships using the language of mathematics and appropriate technology.

1.1.1: The student will recognize, describe, and/or extend patterns and functional relationships that are expressed numerically, algebraically, and/or geometrically.

1.1.2: The student will represent patterns and/or functional relationships in a table, as a graph, and/or by mathematical expression.

1.1.4: The student will describe the graph of a non-linear function and discuss its appearance in terms of the basic concepts of maxima and minima, zeros (roots), rate of change, domain and range, and continuity.

#### 1.2: The student will model and interpret real-world situations using the language of mathematics and appropriate technology.

1.2.1: The student will determine the equation for a line, solve linear equations, and/or describe the solutions using numbers, symbols, and/or graphs.

1.2.2: The student will solve linear inequalities and describe the solutions using numbers, symbols, and/or graphs.

1.2.3: The student will solve and describe using numbers, symbols, and/or graphs if and where two straight lines intersect.

1.2.4: The student will describe how the graphical model of a non-linear function represents a given problem and will estimate the solution.

### 2: The student will demonstrate the ability to solve mathematical and real-world problems using measurement and geometric models and will justify solutions and explain processes used.

#### 2.1: The student will represent and analyze two- and three-dimensional figures using tools and technology when appropriate.

2.1.1: The student will analyze the properties of geometric figures.

2.1.2: The student will identify and/or verify properties of geometric figures using the coordinate plane and concepts from algebra.

2.1.3: The student will use transformations to move figures, create designs, and/or demonstrate geometric properties.

2.1.4: The student will construct and/or draw and/or validate properties of geometric figures using appropriate tools and technology.

#### 2.2: The student will apply geometric properties and relationships to solve problems using tools and technology when appropriate.

2.2.1: The student will identify and/or verify congruent and similar figures and/or apply equality or proportionality of their corresponding parts.

2.2.3: The student will use inductive or deductive reasoning.

#### 2.3: The student will apply concepts of measurement using tools and technology when appropriate.

2.3.2: The student will use techniques of measurement and will estimate, calculate, and/or compare perimeter, circumference, area, volume, and/or surface area of two-and three-dimensional figures and their parts.

### 3: The student will demonstrate the ability to apply probability and statistical methods for representing and interpreting data and communicating results, using technology when needed.

#### 3.1: The student will collect, organize, analyze, and present data.

3.1.2: The student will use the measures of central tendency and/or variability to make informed conclusions.

3.1.3: The student will calculate theoretical probability or use simulations or statistical inferences from data to estimate the probability of an event.

#### 3.2: The student will apply the basic concepts of statistics and probability to predict possible outcomes of real-world situations.

3.2.1: The student will make informed decisions and predictions based upon the results of simulations and data from research.

3.2.2: The student will interpret data and/or make predictions by finding and using a line of best fit and by using a given curve of best fit.

Correlation last revised: 11/2/2009

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