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Arizona Standards

Arizona 7th Grade Math Standards

All 31 Arizona math standards for 7th grade, each explained in plain English. The official wording is in Arizona Department of Education's document, linked at the end of this page.

31 standards

Ratio and Proportion

3 standards
7.RP.A.1
Find unit rates from ratios of simple or complex fractions, with quantities in the same or different units, like 1/2 mile per 1/4 hour is 2 miles per hour.
7.RP.A.2
Decide whether two quantities are proportional, find the constant of proportionality, and write the relationship as an equation like t = pn.
Common Core 7.RP.2
7.RP.A.3
Use proportions to solve multi-step percent and ratio problems like tax, tips, markups, discounts, simple interest, fees, commissions, percent change and error.

The Number System

3 standards
7.NS.A.1
Find sums and differences of rational numbers including integers on a number line, with opposites summing to 0 and subtraction as adding the opposite.
7.NS.A.2
Find products and quotients of rational numbers including integers, using sign rules, and turn fractions into decimals that end or repeat by long division.
7.NS.A.3
Solve real-world and math problems with all four operations on rational numbers, including simplifying complex fractions where one fraction is divided by another.

Expressions and Equations

4 standards
7.EE.A.1
Combine, factor and expand linear expressions, like rewriting 3(x + 2) as 3x + 6 or 2x + 5x as 7x.
Common Core 7.EE.1
7.EE.A.2
Rewrite expressions in new forms to show what they mean in a problem, like seeing p - 0.2p as 0.8p, so a 20% discount means paying 80% of the price.
7.EE.B.3
Solve multi-step problems with positive and negative numbers as fractions, decimals and percents, switching forms as needed and checking that answers are reasonable.
7.EE.B.4
Write and fluently solve two-step equations like 3x + 5 = 20 from word problems, and solve and graph two-step inequalities, explaining solutions in context.

Geometry

6 standards
7.G.A.1
Use scale drawings to work out real lengths and areas and redraw a figure at a new scale, like turning a map distance into miles.
7.G.A.2
Draw shapes from given conditions by different methods, mainly triangles from three side or angle measures, and tell when they make one, many or no triangles.
7.G.A.3
Describe the flat shapes made by slicing solid figures, like the rectangle you get when you cut straight across a rectangular prism.
7.G.B.4
Use the area and circumference formulas for circles to solve problems, and explain informally how a circle's area relates to its circumference.
7.G.B.5
Set up and solve equations to find a missing angle in a figure, using what is known about complementary, supplementary, vertical and adjacent angle pairs.
7.G.B.6
Solve problems on the area of shapes made of triangles, quadrilaterals and polygons, and the volume and surface area of solids built from cubes and right prisms.

Statistics and Probability

7 standards
7.SP.A.1
Understand that a random sample can tell you about a whole population, but only if the sample fairly represents it.
Common Core 7.SP.1
7.SP.A.2
Use a random sample to estimate something about a population, and take several samples to see how much the estimate might vary.
Common Core 7.SP.2
7.SP.B.3
Compare two data sets on dot plots by how far apart their centers are, measured in units of their spread.
Common Core 7.SP.3
7.SP.B.4
Use the mean, median and spread of two random samples to decide how two populations compare.
Common Core 7.SP.4
7.SP.C.5
Know that a probability is a number from 0 to 1, where near 0 means unlikely, 1/2 means as likely as not, and near 1 means likely.
Common Core 7.SP.5
7.SP.C.6
Estimate a probability from many trials, and predict outcomes from a probability, like rolling a 3 or 6 about 200 times in 600 rolls.
Common Core 7.SP.6
7.SP.C.7
Build a probability model, either with equally likely outcomes or from observed data, and explain when results do not match it.
Common Core 7.SP.7

Standards for Mathematical Practice

8 standards
7.MP.1
Make sense of multi-step percent and rational number problems, map out a plan, and keep adjusting it until the answer fits the situation.
7.MP.2
Translate between real situations and expressions with signed numbers, like writing a temperature drop as a negative number and explaining the result.
7.MP.3
Defend seventh grade reasoning with clear arguments, like why a negative times a negative is positive, and respond to classmates' claims with evidence.
7.MP.4
Model real situations with proportions, equations and scale drawings, like using a recipe ratio to plan for a bigger crowd.
7.MP.5
Choose tools that fit seventh grade problems, like a protractor for drawing triangles, a calculator for percent change, or a number line for integers.
7.MP.6
Be precise with signs, units and rounding, like reporting a tax total to the cent and labeling circle areas in square units.
7.MP.7
Look for structure, like seeing the price after a 15% markup as 1.15 times the price, and use it to simplify the work.
7.MP.8
Notice repeated patterns in calculations, like the digits that cycle in a long division, and build general shortcuts from them.

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.