### 1: The Number System

#### 1.6: Extend the understanding of the number line to include all rational numbers and apply this concept to the coordinate plane.

1.6.1: Understand the concept of opposite numbers, including zero, and their relative locations on the number line.

1.6.2: Understand that the signs of the coordinates in ordered pairs indicate their location on an axis or in a quadrant on the coordinate plane.

1.6.3: Recognize when ordered pairs are reflections of each other on the coordinate plane across one axis, both axes, or the origin.

1.6.4: Plot rational numbers on number lines and ordered pairs on coordinate planes.

#### 1.7: Understand and apply the concepts of comparing, ordering, and finding absolute value to rational numbers.

1.7.1: Interpret statements using equal to (=) and not equal to (≠).

1.7.2: Interpret statements using less than (<), greater than (>), and equal to (=) as relative locations on the number line.

1.7.3: Use concepts of equality and inequality to write and to explain real-world and mathematical situations.

1.7.4: Understand that absolute value represents a number’s distance from zero on the number line and use the absolute value of a rational number to represent real-world situations.

1.7.5: Recognize the difference between comparing absolute values and ordering rational numbers. For negative rational numbers, understand that as the absolute value increases, the value of the negative number decreases.

#### 1.8: Extend knowledge of the coordinate plane to solve real-world and mathematical problems involving rational numbers.

1.8.1: Plot points in all four quadrants to represent the problem.

1.8.2: Find the distance between two points when ordered pairs have the same x-coordinates or same y-coordinates.

### 2: Ratios and Proportional Relationships

#### 2.2: Investigate relationships between ratios and rates.

2.2.1: Translate between multiple representations of ratios (i.e., a/b, a:b, a to b, visual models).

2.2.2: Recognize that a rate is a type of ratio involving two different units.

2.2.3: Convert from rates to unit rates.

#### 2.3: Apply the concepts of ratios and rates to solve real-world and mathematical problems.

2.3.4: Apply concepts of unit rate to solve problems, including unit pricing and constant speed.

2.3.5: Understand that a percentage is a rate per 100 and use this to solve problems involving wholes, parts, and percentages.

2.3.6: Solve one-step problems involving ratios and unit rates (e.g., dimensional analysis).

### 3: Expressions, Equations, and Inequalities

#### 3.2: Extend the concepts of numerical expressions to algebraic expressions involving positive rational numbers.

3.2.1: Translate between algebraic expressions and verbal phrases that include variables.

3.2.2: Investigate and identify parts of algebraic expressions using mathematical terminology, including term, coefficient, constant, and factor.

3.2.3: Evaluate real-world and algebraic expressions for specific values using the Order of Operations. Grouping symbols should be limited to parentheses, braces, and brackets. Exponents should be limited to whole-numbers.

#### 3.8: Extend knowledge of inequalities used to compare numerical expressions to include algebraic expressions in real-world and mathematical situations.

3.8.1: Write an inequality of the form x > c or x < c and graph the solution set on a number line.

3.8.2: Recognize that inequalities have infinitely many solutions.

#### 3.9: Investigate multiple representations of relationships in real-world and mathematical situations.

3.9.3: Translate among graphs, tables, and equations.

### 4: Geometry and Measurement

#### 4.3: Apply the concepts of polygons and the coordinate plane to real-world and mathematical situations.

4.3.1: Given coordinates of the vertices, draw a polygon in the coordinate plane.

### 5: Data Analysis and Statistics

#### 5.5: Describe numerical data sets in relation to their real-world context.

5.5.1: State the sample size.

5.5.2: Describe the qualitative aspects of the data (e.g., how it was measured, units of measurement).

5.5.3: Give measures of center (median, mean).

5.5.4: Find measures of variability (interquartile range, mean absolute deviation) using a number line.

5.5.6: Justify the choices for measure of center and measure of variability based on the shape of the distribution.

5.5.7: Describe the impact that inserting or deleting a data point has on the measures of center (median, mean) for a data set.

Correlation last revised: 1/5/2017

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