The Common Core State Standards for Grade 6 math can be divided into various domains, each with specific standards and related deliverables. Here’s a table outlining these domains, standards, and deliverables:
|Ratios and Proportional relationships
|Understand ratio concepts and use ratio reasoning to solve problems
|– Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
|– Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0
|– Use ratio and rate reasoning to solve real-world and mathematical problems
|The Number System
|Apply and extend previous understandings of multiplication and division to divide fractions by fraction
|– Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
|Compute fluently with multi-digit numbers and find common factors and multiples
|– Fluently divide multi-digit numbers using the standard algorithm
|– Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
|– Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.
|Apply and extend previous understandings of numbers to the system of rational numbers
|– Understand that positive and negative numbers are used together to describe quantities having opposite directions or values
|– Understand a rational number as a point on the number line.
|– Understand ordering and absolute value of rational numbers
|– Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane
|Expressions and Equations
|Apply and extend previous understandings of arithmetic to algebraic expressions
|– Write and evaluate numerical expressions involving whole-number exponent.
|– Write, read, and evaluate expressions in which letters stand for numbers
|– Apply the properties of operations to generate equivalent expressions.
|– Identify when two expressions are equivalent
|Reason about and solve one-variable equations and inequalities.
|– Understand solving an equation or inequality as a process of answering a question
|– Use variables to represent numbers and write expressions when solving a real-world or mathematical problem
|– Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers
|– Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem
|Represent and analyze quantitative relationships between dependent and independent variables
|– Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
|Solve real-world and mathematical problems involving area, surface area, and volume
|– Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes
|– Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism.
|– Draw polygons in the coordinate plane given coordinates for the vertices.
|– Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.
|Statistics and Probability
|Develop understanding of statistical variability
|– Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
|– Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
|– Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
|Summarize and describe distributions
|Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
|Summarize numerical data sets in relation to their context
This table provides an overview of the Common Core framework for Grade 6 math and the expected deliverables for each standard. Note that specific details and additional sub-points may vary depending on the curriculum and resources provided by each state or school district.
Last Updated: March 2023