Standards describe what students are expected to learn. The official wording can sometimes feel like it requires a decoder ring, so this page translates each one into clear, student-friendly language.
3 standards
Ratios and Proportional Relationships
6.RP.A.1
What the standard says
Understand the concept of a ratio and use ratio language to describe a relationship between two quantities.
What this means
I can compare two amounts using a ratio.
A ratio tells how much of one thing there is compared with another thing.
Example
If there are 3 cats and 5 dogs, the ratio of cats to dogs is 3 to 5.
The ratio of dogs to cats is 5 to 3, and the ratio of cats to all animals is 3 to 8.
In normal student words
I can compare two quantities and say what the comparison means.
6.RP.A.2
What the standard says
Understand the concept of a unit rate associated with a ratio.
What this means
I can find how much there is for 1 of something.
A unit rate is a rate in which the second number is 1.
Example
If 4 notebooks cost $12, then 1 notebook costs $3.
The unit rate is $3 per notebook.
In normal student words
I can figure out the “for one” amount.
6.RP.A.3
What the standard says
Use ratio and rate reasoning to solve real-world and mathematical problems.
What this means
I can use ratios, tables, double number lines, tape diagrams, and equations to solve problems.
This includes percent problems, unit rates, measurement conversions, and equivalent ratios.
Example
If 5 tickets cost $20, I can use a ratio table to find the cost of 8 tickets.
In normal student words
I can use ratios to solve actual problems, not just stare at two numbers and hope they behave.
8 standards
The Number System
6.NS.A.1
What the standard says
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
What this means
I can divide fractions and explain what the answer means.
Example
If I have 3/4 cup of flour and each batch uses 1/8 cup, then 3/4 ÷ 1/8 = 6.
I can make 6 batches.
In normal student words
I can divide fractions and use fraction division in word problems.
6.NS.B.2
What the standard says
With accuracy and efficiency, divide multi-digit numbers using the standard algorithm.
What this means
I can use long division to divide whole numbers.
Example
728 ÷ 14 = 52
In normal student words
I can do long division without treating it like ancient magic.
6.NS.B.3
What the standard says
With accuracy and efficiency, add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
What this means
I can add, subtract, multiply, and divide decimals accurately.
Example
4.25 × 1.6 = 6.8
In normal student words
I can do decimal operations correctly and keep the decimal point where it belongs.
6.NS.B.4
What the standard says
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 with a common factor.
What this means
I can find greatest common factors and least common multiples.
I can use the distributive property to rewrite expressions.
Example
The GCF of 24 and 36 is 12. The LCM of 4 and 6 is 12.
I can rewrite 36 + 24 as 12(3 + 2).
In normal student words
I can find common factors, common multiples, and rewrite numbers using shared factors.
6.NS.C.5
What the standard says
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.
What this means
I can understand positive and negative numbers in real-life situations.
Example
+10 can mean 10 feet above sea level; −10 can mean 10 feet below sea level.
In normal student words
I can understand numbers on both sides of zero.
6.NS.C.6
What the standard says
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes to represent points with negative coordinates.
What this means
I can place positive and negative numbers on a number line.
I can plot points on the coordinate plane, including points with negative coordinates.
Example
The point (−3, 2) is 3 units left and 2 units up.
In normal student words
I can graph numbers and points, even when negatives show up to ruin everyone’s afternoon.
6.NS.C.7
What the standard says
Understand ordering and absolute value of rational numbers.
What this means
I can compare positive and negative numbers.
I can understand absolute value as distance from zero.
Example
−8 is less than −3 because −8 is farther left on the number line.
The absolute value of −8 is 8 because −8 is 8 units from zero.
In normal student words
I can compare negative numbers and understand distance from zero.
6.NS.C.8
What the standard says
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
What this means
I can plot points in all four quadrants and use coordinates to solve problems.
Example
If two points have the same x-coordinate, I can find the vertical distance between them.
In normal student words
I can use the coordinate plane to solve problems.
9 standards
Expressions and Equations
6.EE.A.1
What the standard says
Write and evaluate numerical expressions involving whole-number exponents.
What this means
I can understand and calculate exponents.
Example
3⁴ means 3 × 3 × 3 × 3, so 3⁴ = 81.
In normal student words
I can use exponents without thinking 3⁴ means 3 × 4, because nope.
6.EE.A.2
What the standard says
Write, read, and evaluate expressions in which letters stand for numbers.
What this means
I can work with variables.
I can write expressions from words and evaluate them when I know the value of the variable.
Example
The expression 4x + 3 means 4 times a number plus 3.
If x = 5, then 4x + 3 = 4(5) + 3 = 23.
In normal student words
I can use letters to stand for numbers and substitute values.
6.EE.A.3
What the standard says
Apply the properties of operations to generate equivalent expressions.
What this means
I can use properties such as the distributive property to rewrite expressions.
Example
3(x + 4) = 3x + 12
In normal student words
I can rewrite expressions without changing their value.
6.EE.A.4
What the standard says
Identify when two expressions are equivalent.
What this means
I can tell whether two expressions always have the same value.
Example
2(x + 3) and 2x + 6 are equivalent because they give the same value for every x.
In normal student words
I can tell when two expressions are secretly the same thing wearing different outfits.
6.EE.B.5
What the standard says
Understand solving an equation or inequality as answering a question about which values make it true.
What this means
I can understand that solving means finding the value that makes an equation or inequality true.
Example
x + 4 = 10, so x = 6 because 6 + 4 = 10.
In normal student words
I can find the number that makes the math sentence true.
6.EE.B.6
What the standard says
Use variables to represent numbers and write expressions when solving real-world or mathematical problems.
What this means
I can use variables to represent unknown numbers in problems.
Example
If a movie ticket costs x dollars and I buy 3 tickets, the total cost is 3x.
In normal student words
I can use letters when I do not know the number yet.
6.EE.B.7
What the standard says
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q.
What this means
I can solve one-step equations using addition, subtraction, multiplication, or division.
Example
x + 8 = 20 gives x = 12. 5x = 35 gives x = 7.
In normal student words
I can solve one-step equations and check my answer.
6.EE.B.8
What the standard says
Write an inequality of the form x > c or x < c to represent a constraint or condition.
What this means
I can write and understand inequalities.
Example
If you must be at least 12 years old to join a club, then x ≥ 12.
In normal student words
I can use inequality symbols to show what numbers are allowed.
6.EE.C.9
What the standard says
Use variables to represent two quantities that change in relationship to one another.
What this means
I can show relationships between two variables using tables, graphs, and equations.
Example
If y = 3x, then y is always 3 times x: (1, 3), (2, 6), and (3, 9).
In normal student words
I can show how two quantities are connected.
4 standards
Geometry
6.G.A.1
What the standard says
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing and decomposing shapes.
What this means
I can find the area of triangles, rectangles, parallelograms, trapezoids, and composite shapes.
Example
I can split an unfamiliar shape into rectangles and triangles, find each area, and add them.
In normal student words
I can find area by breaking shapes into pieces that are less annoying.
6.G.A.2
What the standard says
Find the volume of a right rectangular prism with fractional edge lengths.
What this means
I can find volume using length × width × height, even when the side lengths are fractions.
Example
A prism has side lengths 1/2, 3, and 4. Its volume is 1/2 × 3 × 4 = 6 cubic units.
In normal student words
I can find how much space a box takes up, even when fractions sneak in.
6.G.A.3
What the standard says
Draw polygons in the coordinate plane given coordinates for the vertices. Use coordinates to find side lengths.
What this means
I can plot points, connect them to make shapes, and find side lengths.
Example
The points (2, 3) and (2, 8) are 5 units apart vertically.
In normal student words
I can make shapes on a coordinate plane and measure them.
6.G.A.4
What the standard says
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find surface area.
What this means
I can use nets to find the surface area of three-dimensional shapes.
A net is a flat pattern that folds into a three-dimensional shape.
Example
To find a rectangular prism’s surface area, I find the area of all 6 faces and add them.
In normal student words
I can unfold a 3D shape, find all the face areas, and add them.
5 standards
Statistics and Probability
6.SP.A.1
What the standard says
Recognize a statistical question as one that expects variability in the data.
What this means
I can tell whether a question is statistical.
A statistical question has many possible answers that can vary.
Example
Statistical: How many minutes do students in our class spend on homework each night?
Not statistical: How many minutes are in one hour?
In normal student words
I can tell whether a question will give different answers from different people.
6.SP.A.2
What the standard says
Understand that a set of data has a distribution that can be described by its center, spread, and overall shape.
What this means
I can describe data by looking at what is typical, how spread out it is, and what the graph looks like.
Example
I can describe whether most data values are close together or spread far apart.
In normal student words
I can describe what a data set looks like instead of just saying, “There are numbers.”
6.SP.A.3
What the standard says
Recognize that a measure of center summarizes all values with a single number, while a measure of variation describes how values vary.
What this means
I can understand the difference between center and spread.
Measures of center include mean and median. Measures of variation include range and interquartile range.
Example
The mean describes a typical value; the range describes how spread out the data is.
In normal student words
I can tell what is typical and how spread out the data is.
6.SP.B.4
What the standard says
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
What this means
I can make and read graphs that show numerical data.
Example
I can create dot plots, histograms, and box plots.
In normal student words
I can put data into graphs that actually show something useful.
6.SP.B.5
What the standard says
Summarize numerical data sets in relation to their context.
What this means
I can summarize data by describing the number of data points, center, spread, shape, and what the data means.
Example
The data shows that most students studied between 20 and 40 minutes. The median was 30 minutes, and there was one high outlier.
In normal student words
I can explain what the data tells us using numbers and words.
Big idea
Math is connected.
Grade 6 math is about learning how numbers, operations, expressions, shapes, and data work together. By the end of the year, students should be able to solve problems, explain their thinking, use models, and check whether answers make sense.
This is when math moves beyond “do the steps” and starts asking, “Do you understand what you just did?”