### 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: Identify relationships and make generalizations through the use of patterns.

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

1.2.a: Represent and analyze mathematical relationships with the help of tables, graphs, equations and inequalities.

### 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: Relate whole numbers, fractions, decimals and integers to number lines, scales, the coordinate plane and problem- solving situations.

2.1.c: Interpret and connect fraction notation to division.

2.1.d: Compare quantities and solve problems using ratios, rates and percents.

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

2.2.b: Describe when products or quotients with fractions and decimals can yield a larger or smaller result than either factor.

### 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: Classify polygons according to their properties.

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

3.3.a: Solve problems involving measurement through the use of a variety of tools, techniques and strategies.

3.3.b: Use specific ratios to convert between measures of length, area, volume, mass and capacity in the customary and metric systems.

### 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: Display and compare sets of data using various systematic or graphical representations.

#### 4.2: Analyze data sets to form hypotheses and make predictions.

4.2.a: Describe the shape of data sets using the measures of spread and central tendency.

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

4.3.a: Understand that probabilities are more reliable to use as predictors when there is a large number of trials.

4.3.b: Express probability using various numerical representations.

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.