### 1: Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.

#### 1.1: Number sense

1.1.1: Use scientific notation to represent large numbers and decimals

1.1.3: Interpret and apply percents greater than 100.

1.1.4: Use proportional reasoning to express rates (e.g., speed, density, mpg)

1.1.5: Compare fractions, decimals, and percents using multiple models

1.1.6: Explore the effects of scaling up and scaling down on the coordinate plane

1.1.7: Compare integers on the number line

1.1.8: Explain the relationship of a number to its additive inverse

1.1.9: Apply knowledge of integers to the coordinate plane

#### 1.2: Operations

1.2.2: Use a variety of strategies to add, subtract, multiply, and divide fractions

1.2.3: Calculate unit rate to solve real-world problems (e.g., speed of a car, unit price of food, etc.)

1.2.5: Use ratios, proportions and percents to solve contextualized problems

1.2.7: Add, subtract, multiply, and divide integers

1.2.8: Use an estimation or mental math strategy to demonstrate the reasonableness on an exact answer

### 2: Algebraic Reasoning: Students will develop Algebraic Reasoning and an understanding of Patterns and Functions by solving problems in which there is a need to recognize and extend a variety of patterns; to progress from the concrete to the abstract using physical models, equations, and graphs; to describe, represent, and analyze relationships among variable quantities; and to analyze, represent, model, and describe real-world functional relationships.

#### 2.1: Patterns and change

2.1.1: Describe rate of change in tables, rules or graphs

2.1.2: Interpret rate of change in tables and graphs based on the

#### 2.2: Representations

2.2.1: Connect different representations of the same situation to one another using tables, graphs, and rules

2.2.2: Model and solve contextualized linear problems using various representations (e.g., tables, graphs, equations) with respect to starting point and rate of change.

#### 2.3: Symbols

2.3.1: Write an equation to show how two variables are related

2.3.3: Solve linear equations using a variety of strategies

2.3.4: Translate visual patterns into symbolic form

### 3: Geometric Reasoning: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree pf accuracy by selecting appropriate tools and units.

#### 3.1: Classification

3.1.3: Build three-dimensional objects from two-dimensional representations and draw two-dimensional representations of three-dimensional objects

3.1.4: Create models of nets of three dimensional figures (e.g., cube, rectangular prism, cylinder)

#### 3.2: Location and transformation

3.2.1: Describe the effects that transformations (i.e., reflections, translations, and rotations) and changes in scale have on similarity and congruence

3.2.2: Demonstrate dilations of scale on the coordinate plane

3.2.3: Represent reflections, rotations, and translations on the coordinate plane

#### 3.3: Measurement

3.3.1: Find the area of polygons by partitioning into rectangles and triangles

3.3.2: Find the surface area of prisms using physical models

3.3.3: Identify corresponding parts of similar figures

3.3.4: Determine the volume and surface areas of cylinders and prisms

### 4: Quantitative Reasoning: Students will develop Quantitative Reasoning and an understanding of Data Analysis and Probability by solving problems in which there is a need to collect, appropriately represent, and interpret data; to make inferences or predictions and to present convincing arguments; and to model mathematical situations to determine the probability.

#### 4.1: Collect

4.1.1: Pose questions that can be answered by collecting and organizing data from experiments, surveys, and relevant print and electronic resources

#### 4.2: Represent

4.2.1: Construct displays of data for single data sets (e.g., stem-and-leaf plots) or in order to study the relationship between related data sets (scatter plots)

#### 4.3: Analyze

4.3.1: Defend or dispute conclusions drawn from the interpretation of data by comparing one data set to another

4.3.2: Choose an appropriate measures of center (mean, median, mode) and spread (range) to interpret data set(s)

#### 4.4: Probability

4.4.1: Construct a sample space (organized list, counting tree) to determine theoretical probabilities of an event

4.4.2: Use proportional reasoning to predict how often a simple probability event will occur in a given number of trials

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.