### 6.NS: The Number System

#### 6.NS.4: Find common factors and multiples using two whole numbers.

6.NS.4.a: Compute the greatest common factor (GCF) of two numbers both less than or equal to 100.

6.NS.4.b: Compute the least common multiple (LCM) of two numbers both less than or equal to 12.

6.NS.4.c: Express sums of two whole numbers, each less than or equal to 100, using the distributive property to factor out a common factor of the original addends.

#### 6.NS.6: Extend the understanding of the number line to include all rational numbers and apply this concept to the coordinate plane.

6.NS.6.a: Understand the concept of opposite numbers, including zero, and their relative locations on the number line.

6.NS.6.b: Understand that the signs of the coordinates in ordered pairs indicate their location on an axis or in a quadrant on the coordinate plane.

6.NS.6.c: Recognize when ordered pairs are reflections of each other on the coordinate plane across one axis, both axes, or the origin.

6.NS.6.d: Plot rational numbers on number lines and ordered pairs on coordinate planes.

#### 6.NS.7: Understand and apply the concepts of comparing, ordering, and finding absolute value to rational numbers.

6.NS.7.a: Interpret statements using equal to (=) and not equal to (≠).

6.NS.7.b: Interpret statements using less than (<), greater than (>), and equal to (=) as relative locations on the number line.

6.NS.7.c: Use concepts of equality and inequality to write and to explain real-world and mathematical situations.

6.NS.7.d: 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.

6.NS.7.e: 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.

#### 6.NS.8: Extend knowledge of the coordinate plane to solve real-world and mathematical problems involving rational numbers.

6.NS.8.a: Plot points in all four quadrants to represent the problem.

6.NS.8.b: Find the distance between two points when ordered pairs have the same x-coordinates or same y-coordinates.

6.NS.8.c: Relate finding the distance between two points in a coordinate plane to absolute value using a number line.

### 6.RP: Ratios and Proportional Relationships

#### 6.RP.2: Investigate relationships between ratios and rates.

6.RP.2.a: Translate between multiple representations of ratios (i.e., a/b, a:b, a to b, visual models).

6.RP.2.b: Recognize that a rate is a type of ratio involving two different units.

6.RP.2.c: Convert from rates to unit rates.

#### 6.RP.3: Apply the concepts of ratios and rates to solve real-world and mathematical problems.

6.RP.3.a: Create a table consisting of equivalent ratios and plot the results on the coordinate plane.

6.RP.3.c: Use two tables to compare related ratios.

6.RP.3.d: Apply concepts of unit rate to solve problems, including unit pricing and constant speed.

6.RP.3.e: Understand that a percentage is a rate per 100 and use this to solve problems involving wholes, parts, and percentages.

6.RP.3.f: Solve one-step problems involving ratios and unit rates (e.g., dimensional analysis).

### 6.EEI: Expressions, Equations, and Inequalities

#### 6.EEI.2: Extend the concepts of numerical expressions to algebraic expressions involving positive rational numbers.

6.EEI.2.a: Translate between algebraic expressions and verbal phrases that include variables.

6.EEI.2.b: Investigate and identify parts of algebraic expressions using mathematical terminology, including term, coefficient, constant, and factor.

6.EEI.2.c: 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.

#### 6.EEI.8: Extend knowledge of inequalities used to compare numerical expressions to include algebraic expressions in real-world and mathematical situations.

6.EEI.8.a: Write an inequality of the form x > c or x < c and graph the solution set on a number line.

6.EEI.8.b: Recognize that inequalities have infinitely many solutions.

#### 6.EEI.9: Investigate multiple representations of relationships in real-world and mathematical situations.

6.EEI.9.c: Translate among graphs, tables, and equations.

### 6.GM: Geometry and Measurement

#### 6.GM.3: Apply the concepts of polygons and the coordinate plane to real-world and mathematical situations.

6.GM.3.a: Given coordinates of the vertices, draw a polygon in the coordinate plane.

6.GM.3.b: Find the length of an edge if the vertices have the same x-coordinates or same y-coordinates.

### 6.DS: Data Analysis and Statistics

#### 6.DS.5: Describe numerical data sets in relation to their real-world context.

6.DS.5.a: State the sample size.

6.DS.5.b: Describe the qualitative aspects of the data (e.g., how it was measured, units of measurement).

6.DS.5.c: Give measures of center (median, mean).

6.DS.5.d: Find measures of variability (interquartile range, mean absolute deviation) using a number line.

6.DS.5.e: Describe the overall pattern (shape) of the distribution.

6.DS.5.f: Justify the choices for measure of center and measure of variability based on the shape of the distribution.

6.DS.5.g: 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: 9/16/2020

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