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Arizona Standards

Arizona 6th Grade Math Standards

All 37 Arizona math standards for 6th grade, each explained in plain English. The official wording is in Arizona Department of Education's document, linked at the end of this page.

37 standards

Ratio and Proportion

3 standards
6.RP.A.1
Describe a ratio as a multiplicative comparison or a combination of two amounts, using ratio words like 3 cups of flour for every 2 cups of sugar.
6.RP.A.2
Find the unit rate behind a ratio and say it with words like per or for each, like $6 for 3 pounds is $2 per pound, without complex fractions.
6.RP.A.3
Solve ratio and rate problems with tables, tape diagrams and number lines, including unit pricing, speed, unit conversion and percents with any part unknown.

The Number System

8 standards
6.NS.A.1
Divide fractions by fractions in real problems, using visual models and equations to show the quotient, like how many 3/4 cup servings fit in 2/3 cup.
6.NS.B.2
Divide multi-digit numbers quickly and accurately with a standard algorithm, like 7,248 ÷ 24 = 302.
6.NS.B.3
Compute sums, differences, products and quotients of multi-digit decimals quickly and accurately with a standard algorithm for each.
6.NS.B.4
Find the greatest common factor of two numbers up to 100 and the least common multiple of two up to 12, and use the distributive property to factor sums.
6.NS.C.5
Use positive and negative numbers for opposite amounts in real life, like gains and losses, and explain what zero means in each situation.
6.NS.C.6
Place integers and other rational numbers on number lines and the coordinate plane, using signs to read opposites and reflections across the axes.
6.NS.C.7
Order positive and negative numbers, like -3 is warmer than -7, and read absolute value as distance from 0, so a balance of -30 is a debt of 30.
Common Core 6.NS.7
6.NS.C.8
Plot points in all four quadrants to solve problems, and find how far apart two points with a shared x or y coordinate are using absolute value.

Expressions and Equations

9 standards
6.EE.A.1
Write and work out expressions with whole-number exponents, like 5³ = 125.
Common Core 6.EE.1
6.EE.A.2
Write, read and evaluate expressions with variables, name their parts like terms and coefficients, and follow the order of operations with exponents.
6.EE.A.3
Use properties of operations to rewrite expressions in equivalent forms, like turning 3 times the sum of 2 and x into 6 + 3x.
6.EE.A.4
Decide whether two expressions are equivalent by checking that they give the same value for any number, like 2x + x and 3x.
6.EE.B.5
Treat solving an equation or inequality as finding which values make it true, and test numbers from a given set by substituting them in.
6.EE.B.6
Let a variable stand for an unknown number or any number in a set, and write expressions with variables to solve math and real-world problems.
6.EE.B.7
Write and solve one-step equations using any of the four operations, like x - 4 = 9 or x/3 = 5, with nonnegative rational numbers.
6.EE.B.8
Write inequalities like x > 5 or x ≤ 12 for real limits, see that they have endless solutions, and show those solutions on a number line.
6.EE.C.9
Use two variables for quantities that change together, write an equation for the dependent one, and connect that equation to tables and graphs.

Geometry

4 standards
6.G.A.1
Find areas of triangles, special quadrilaterals and other polygons by splitting them into triangles or building them into rectangles, then solve real problems.
6.G.A.2
Find the volume of rectangular prisms with fraction edge lengths by packing unit-fraction cubes and with V = B × h, in math and real-world problems.
6.G.A.3
Draw polygons on the coordinate plane from vertex coordinates, and find side lengths between points sharing an x or y value to solve problems.
6.G.A.4
Use nets of rectangles and triangles to show three-dimensional shapes and add up the face areas to find surface area in real problems.

Statistics and Probability

5 standards
6.SP.A.1
Tell a statistical question from a non-statistical one by whether its answers are expected to vary, like the ages of students in a school.
6.SP.A.2
Explain that data from a statistical question forms a distribution you can summarize by where it centers, how it spreads and its shape.
6.SP.A.3
Explain that a measure of center sums up a whole data set in one number, while a measure of variation gives one number for how spread out it is.
6.SP.B.4
Make and read dot plots, histograms and box plots on a number line to display numerical data.
6.SP.B.5
Summarize data in context with its count, what was measured, its center and spread like median and IQR, notable patterns, and why those measures fit.

Standards for Mathematical Practice

8 standards
6.MP.1
Make sense of ratio and percent problems by working out what is asked, choosing a plan, and sticking with it when the first approach falls short.
6.MP.2
Turn real situations into ratios, expressions and equations and back again, like explaining what x stands for in a unit price problem.
6.MP.3
Build clear arguments about sixth grade ideas, like why two expressions are equivalent, and question or improve a classmate's reasoning.
6.MP.4
Model real situations with ratio tables, equations and data displays, like using a double number line to plan distance and time on a trip.
6.MP.5
Choose helpful tools for sixth grade problems, like tape diagrams for ratios, nets for surface area, or a graphing tool for four-quadrant points.
6.MP.6
Use precise terms like coefficient and unit rate, label units such as square feet, and compute with fractions and decimals accurately.
6.MP.7
Look for structure in expressions and numbers, like spotting the common factor in 24x + 18 or seeing a ratio table grow by the same factor.
6.MP.8
Notice repeated reasoning, like the steps used to find each unit price, and turn it into a general rule or equation that works every time.

The official Arizona documents

The plain-English lines on this page are EMStudio's own explanations of Arizona's standards, not the official wording, which Arizona Department of Education publishes in the documents above. Codes and strand names identify each standard.