### 1: Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies.

#### 1.1: Understand and describe patterns and functional relationships.

1.1.a: Describe relationships and make generalizations about patterns and functions.

#### 1.2: Represent and analyze quantitative relationships in a variety of ways.

1.2.a: Represent and analyze linear and nonlinear functions and relations symbolically and with tables and graphs.

#### 1.3: Use operations, properties and algebraic symbols to determine equivalence and solve problems.

1.3.a: Manipulate equations, inequalities and functions to solve problems.

### 2: Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify calculations using a variety of strategies, tools and technologies.

#### 2.1: Understand that a variety of numerical representa-tions can be used to describe quantitative relation-ships.

2.1.a: Extend the understanding of number to include integers, rational numbers and real numbers.

#### 2.2: Use numbers and their properties to compute flexibly and fluently, and to reasonably estimate measures and quantities.

2.2.b: Solve proportional reasoning problems.

### 3: Shapes and structures can be analyzed, visualized, measured and transformed using a variety of strategies, tools and technologies.

#### 3.1: Use properties and characteristics of two- and three-dimensional shapes and geometric theorems to describe relationships, communicate ideas and solve problems.

3.1.a: Investigate relationships among plane and solid geometric figures using geometric models, constructions and tools.

3.1.b: Develop and evaluate mathematical arguments using reasoning and proof.

#### 3.2: Use spatial reasoning, location and geometric relationships to solve problems.

3.2.a: Verify geometric relationships using algebra, coordinate geometry, and transformations.

#### 3.3: Develop and apply units, systems, formulas and appropriate tools to estimate and measure.

3.3.a: Solve a variety of problems involving 1-, 2- and 3-dimensional measurements using geometric relationships and trigonometric ratios.

### 4: Data can be analyzed to make informed decisions using a variety of strategies, tools and technologies.

#### 4.1: Collect, organize and display data using appropriate statistical and graphical methods

4.1.a: Create the appropriate visual or graphical representation of real data.

#### 4.3: Understand and apply basic concepts of probability.

4.3.a: Understand and apply the principles of probability in a variety of situations.

Correlation last revised: 5/9/2018

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