### 1: Number and Operations

#### 1.1: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.

1.1.1: Convert between expressions for positive rational numbers, including fractions, decimals, percents, and ratios.

1.1.2: Use prime factorization to

1.1.2.a: express a whole number as a product of its prime factors and

1.1.3: Demonstrate an understanding of fractions as rates, division of whole numbers, parts of a whole, parts of a set, and locations on a real number line.

1.1.4: Compare and order integers; and positive fractions, decimals, and percents.

1.1.5: Express that a number's distance from zero on the number line is its absolute value.

1.1.6: Express the inverse relationships between exponents and roots for perfect squares and cubes.

#### 1.2: Understand and apply numerical operations and their relationship to one another.

1.2.1: Apply and interpret the concepts of addition and subtraction with integers using models.

1.2.2: Multiply multi-digit decimals through thousandths.

1.2.4: Multiply and divide fractions.

1.2.5: Provide a mathematical argument to explain operations with two or more fractions or decimals.

1.2.6: Apply the commutative, associative, distributive, and identity properties to evaluate numerical expressions involving whole numbers.

1.2.7: Simplify numerical expressions (involving fractions, decimals, and exponents) using the order of operations with or without grouping symbols.

#### 1.3: Use estimation strategies reasonably and fluently while integrating content from each of the other strands.

1.3.2: Make estimates appropriate to a given situation and verify the reasonableness of the results.

### 2: Data Analysis, Probability, and Discrete Mathematics

#### 2.1: Understand and apply data collection, organization, and representation to analyze and sort data.

2.1.1: Solve problems by selecting, constructing, and interpreting displays of data, including histograms and stem-and-leaf plots.

2.1.2: Formulate and answer questions by interpreting, analyzing, and drawing inferences from displays of data, including histograms and stem-and-leaf plots.

2.1.3: Use extreme values, mean, median, mode, and range to analyze and describe the distribution of a given data set.

#### 2.2: Understand and apply the basic concepts of

2.2.1: Use data collected from multiple trials of a single event to form a conjecture about the theoretical probability.

2.2.2: Use theoretical probability to

2.2.2.a: predict experimental outcomes,

2.2.2.b: compare the outcome of the experiment to the prediction, and

2.2.2.c: replicate the experiment and compare results.

### 3: Patterns, Algebra, and Functions

#### 3.2: Describe and model functions and their relationships.

3.2.1: Recognize and describe a relationship between two quantities, given by a chart, table, or graph, using words and expressions.

#### 3.3: Represent and analyze mathematical situations and structures using algebraic representations.

3.3.2: Create and solve two-step equations that can be solved using inverse properties with fractions and decimals.

3.3.3: Translate both ways between a verbal description and an algebraic expression or equation.

### 4: Geometry and Measurement

#### 4.1: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.

4.1.2: Solve problems using properties of supplementary, complementary, and vertical angles.

#### 4.2: Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

4.2.2: Draw a reflection of a polygon in the coordinate plane using a horizontal or vertical line of reflection.

#### 4.3: Specify and describe spatial relationships using rectangular and other coordinate systems while integrating content from each of the other strands.

4.3.1: Graph ordered pairs in any quadrant of the coordinate plane.

#### 4.4: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

4.4.2: Solve problems involving conversion within the U.S.Customary and within the metric system.

4.4.4: Solve problems involving the area of simple polygons using formulas for rectangles and triangles.

4.4.5: Solve problems involving area and perimeter of regular and irregular polygons.

4.4.6: Describe the relationship between the volume of a figure and the area of its base.

Correlation last revised: 1/20/2017

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