### 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

1.1.2: Use factors and multiples to demonstrate part whole relationships

1.1.3: Use factors and multiples to develop equivalent fraction families

1.1.5: Use place value structure to describe the size of decimals

1.1.6: Demonstrate equivalence of decimals, fractions, and percents using multiple models

#### 1.2: Operations

1.2.2: Multiply fractions by other fractions using physical models, ratio/rate tables, and arrays

1.2.5: Calculate the decimal equivalent of fractions

1.2.7: Explain the role of place value in adding and subtracting decimals

1.2.8: Multiply decimals to solve real-world problems (e.g., find the cost of 3 1/2 pounds of grapes at \$1.95 per pound)

1.2.10: Select and use appropriate methods and tools for computing (e.g., mental computation, estimation, calculators, paper, and pencil) depending on the context and nature of the computation

### 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.

#### 2.2: Representations

2.2.1: Demonstrate that a given situation may be represented by a table, graph or equation

2.2.2: Explore informal methods to model and solve real-world situations that involve equivalent fractions (e.g., use a table of equivalent ratios to solve proportional reasoning problems)

### 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

3.1.1: Estimate, measure, and classify angles

3.1.3: Explore the measure of a single angle and find the sum of the angles of a regular polygon

#### 3.2: Location and transformation

3.2.1: Measure angles and sides to demonstrate that transformations such as reflections (flips), translations (slides), and rotations (turns) maintain congruence

#### 3.3: Measurement

3.3.1: Use the conceptual knowledge of the area of rectangles to develop formulas for the areas of triangles and parallelograms

3.3.2: Demonstrate an understanding that the perimeters of rectangles with a fixed area can vary

3.3.3: Demonstrate an understanding that the areas of rectangles with a fixed perimeter can vary

3.3.7: Find the circumference of circles and explore finding the area.

### 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: Collect and organize numerical (whole number or decimal) data in order to answer a question

#### 4.2: Represent

4.2.1: Construct displays of data (e.g., circle graphs, scatter plots, frequency counts) for a single data set

#### 4.3: Analyze

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

4.3.2: Find and use summary measures of center (mean, median, mode) and spread (range) to compare sets of single variable data

#### 4.4: Probability

4.4.1: Use real-world data to estimate the probability of future events (e.g., batting averages, weather predictions)

4.4.2: Analyze simple games to determine favorable outcomes and chances of winning or losing

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.