Apply the properties of operations (identity, inverse, commutative properties of addition and multiplication, associative properties of addition and multiplication, and distributive property).

6.PA.O.4

Depth 1

Apply properties of operations to calculate positive and negative numbers in any form.

6.PA.E.1

Depth 1

Write expressions that record operations with numbers and with letters standing for numbers.

6.PA.E.2

Depth 1

Identify when two expressions are equivalent and justify them with mathematical reasoning.

6.PA.V.1

Depth 1

Evaluate inequalities from a specified set and identify positive integers that make the equation or inequality true.

6.PA.V.2

Depth 1

Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

6.PA.V.3

Depth 1

Write an inequality of the form x > c, x ≥ c, x < c, or x ≤ c, where c is a rational number to represent a constraint or condition in a real-world or other mathematical problem.

6.PA.V.4

Depth 1

Demonstrate that inequalities have infinitely many solutions by representing solutions on a number line diagram.

6.PA.V.5

Depth 1

Reason and solve one-variable equations.

6.NN.S.1

Depth 1

Explain that positive and negative numbers describe quantities withopposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge).

6.NN.S.2

Depth 1

interpret absolute value as magnitude for a positive or negative quantity in a real-world situation

6.NN.S.3

Depth 1

Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line.

6.NN.S.4

Depth 1

Recognize that the opposite of the opposite of a number is the number itself (e.g., –(–3) = 3) and that 0 is its opposite.

6.NN.S.5

Depth 1

Illustrate that the absolute value of a number is the distance from zero on a number line.

6.NN.S.6

Depth 1

Evaluate positive integers with whole-number exponents.

6.NN.S.7

Depth 1

Compare and order rational numbers and plot them on a number line.

6.NN.S.8

Depth 1

Write, interpret, and explain statements of order for rational numbers in real-world contexts.

6.NN.A.1

Depth 1

Fluently add, subtract, multiply, and divide multi-digit rational numbers.

6.NN.F.1

Depth 1

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

6.NN.C.1

Depth 1

Compare and order rational numbers and plot them on a number line.

6.NN.C.2

Depth 1

Write, interpret, and explain statements of order for rational numbers in real-world contexts.

6.NN.C.3

Depth 1

Interpret, model, and use ratios to show the relative sizes of two quantities.

6.NN.C.4

Depth 1

Describe how a ratio shows the relationship between two quantities using the following notations: a/b, a to b, a:b

6.NN.C.5

Depth 1

Define the concept of a unit rate, and use terms related to rate in the context of a ratio relationship.

6.NN.C.6

Depth 1

Use reasoning involving rates and ratios to model real-world and other mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations).

6.GS.S.1

Depth 1

Identify 3-D shapes and the concept of area, surface area, and volume.

6.GS.S.2

Depth 1

Draw polygons in the coordinate plane given coordinates for the vertices.

6.GS.M.1

Depth 1

Solve real world and other mathematical problems by graphing points with rational number coordinates on a coordinate plane across all four quadrants between points with the same first coordinate or the same second coordinate.

6.GS.M.2

Depth 1

Illustrate that the sum of the interior angles of any triangle is 180º and that the sum of the interior angles of any quadrilateral is 360º solving real-world and mathematical problems.

6.MS.M.1

Depth 1

6.MS.M.1 Convert between measurement systems (English to metric and metric to English) given conversion factors, and use these conversions in solving real-world problems.

6.MS.D.1

Depth 1

Select, create, and interpret graphical representations of numerical data, including line plots, and histograms.

6.MS.D.2

Depth 1

Formulate statistical questions.

6.MS.D.3

Depth 1

Summarize numerical data sets for the measures of center (mean, median, mode, ranges).

6.MS.D.4

Depth 1

Collect and organize data to display and interpret data with graphical representations (e.g., using technology).

6.FG.G.1

Depth 1

Graph points with rational number coordinates on a coordinate plane across all four quadrants

6.FG.G.2

Depth 1

Include the use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

6.FG.G.3

Depth 1

Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

6.FG.G.4

Depth 1

Explain and identify that signs of numbers in ordered pairs indicate the quadrant containing the point including locations of points related by reflections across one or both axes.

Framework metadata

Source document: Math 6 Standards
License: CC BY 4.0 US