6th grade

6th grade

Here you will find all 6th grade resources to guide and support mathematics teaching and learning.

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These resources are organized by mathematical strand and refer to specific Common Core math content standards.

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6.RP.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

Performance Assessment Tasks

6.RP.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b =? 0, and use rate language in the context of a ratio relationship.

Problems of the Month

Performance Assessment Tasks

6.RP.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., reasoning about tables of equivalent rations, tape diagrams, double number line diagrams, or equations.

6.NS.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

Performance Assessment Tasks

6.NS.2

Fluently divide multi-digit numbers using the standard algorithm.

Problems of the Month

Performance Assessment Tasks

6.NS.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Performance Assessment Tasks

6.NS.4

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. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

Problems of the Month

6.NS.6

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

Performance Assessment Tasks

6.EE.1

Write and evaluate numerical expressions involving whole-number exponents.

Problems of the Month

6.EE.2

Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.4

Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.

Performance Assessment Tasks

6.EE.5

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Performance Assessment Tasks

6.EE.6

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Performance Assessment Tasks

6.EE.7

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.

6.EE.9

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, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.

6.G.1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

6.G.2

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. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Performance Assessment Tasks

6.SP.1

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

Problems of the Month

6.SP.2

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.

Problems of the Month

6.SP.3

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.

Problems of the Month

Performance Assessment Tasks

6.SP.4

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Problems of the Month

6.SP.5

Summarize numerical data sets in relation to their context.

Problems of the Month

Performance Assessment Tasks