### 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: Recognize and convert between expressions for positive and negative rational numbers, including fractions, decimals, percents, and ratios.

1.1.2: Find or use factors, multiples, or prime factorization within a set of numbers.

1.1.3: Compare and order rational numbers using various models and representations.

1.1.4: Model and solve simple problems involving absolute value.

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

1.2.1: Add, subtract, multiply, and divide integers.

1.2.2: Solve problems with rational numbers and appropriate operations using exact answers or estimates.

1.2.3: Solve problems involving percentages, ratio and proportion, including tax, discount, tips, and part/whole relationships.

1.2.5: Simplify numerical expressions using the order of operations and appropriate mathematical properties.

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

1.3.1: Estimate and apply benchmarks for rational numbers and common irrational numbers.

1.3.3: Estimate square roots of numbers less than 1000 by locating them between two consecutive whole numbers.

### 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 multi-line graphs and scatterplots.

2.1.2: Interpret trends in a data set, estimate values for missing data, and predict values for points beyond the range of the data set.

2.1.3: Identify outliers and determine their effect on mean, median, mode, and range.

2.1.4: Distinguish between a simple random and non-random sample.

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

2.2.1: Determine conditional probabilities (experimental) in compound probability experiments.

2.2.2: Experiment with two different events to determine whether the two events are dependent or independent of each other.

2.2.3: Compare the results of multiple repetitions of the same probability experiment to the theoretical probability.

2.2.4: Compare probabilities to determine fairness in experimental situations.

#### 2.3: Understand and demonstrate the systematic listing and counting of possible outcomes.

2.3.1: Analyze relationships among the tree diagrams where items repeat and do not repeat; make numerical connections to the multiplication principle of counting.

### 3: Patterns, Algebra, and Functions

#### 3.1: Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.

3.1.1: Recognize, describe, create, and analyze numerical and geometric sequences using tables or graphs; make conjectures about these sequences.

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

3.2.1: Use a table of values to graph an equation or proportional relationship; describe the graph's characteristics.

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

3.3.1: Write a single variable algebraic expression or one-step equation given a contextual situation.

3.3.3: Solve multi-step equations using inverse properties with rational numbers.

3.3.4: Translate between graphs and tables that represent a linear equation.

3.3.6: Create and solve one-step inequalities with whole numbers.

#### 3.4: Analyze how changing the values of one quantity corresponds to change in the values of another quantity.

3.4.1: Use graphs and tables to model and analyze change.

### 4: Geometry and Measurement

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

4.1.1: Recognize the relationship between central angles and intercepted arcs; identify arcs and chords of a circle.

4.1.2: Analyze and determine relationships between angles created by parallel lines cut by a transversal.

4.1.4: Describe the relationship between the number of sides in a regular polygon and the sum of its interior angles.

4.1.5: Identify corresponding parts of congruent figures.

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

4.2.1: Model the result of a double transformation (translations or reflections) of a 2-dimensional figure on a coordinate plane using all four quadrants.

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

4.4.2: Identify polygons having the same perimeter or area.

4.4.3: Calculate the area and perimeter of composite 2-dimensional figures.

4.4.5: Create a net to calculate the surface area of a given solid.

4.4.4: Determine actual lengths based on scale drawings or maps.

4.4.6: Identify the appropriate unit of measure to compute the volume of an object and justify reasoning.

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.