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Massachusetts Standards

Massachusetts 7th Grade Math Standards

All 24 Massachusetts math standards for 7th grade, each explained in plain English. The official wording is in Massachusetts Department of Elementary and Secondary Education's document, linked at the end of this page.

24 standards

Ratios and Proportional Relationships

3 standards
7.RP.A.1
Find unit rates from ratios of fractions, including lengths, areas, and other quantities in like or different units, like 1/2 mile per 1/4 hour being 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
Solve multi-step ratio, rate, and percent problems with proportions, like sales tax, discounts, tips, commissions, fees, simple interest, percent change, and percent error.

The Number System

3 standards
7.NS.A.1
Add and subtract integers and rational numbers on horizontal or vertical number lines, see opposites cancel to zero, subtract by adding the opposite, and find distances.
7.NS.A.2
Multiply and divide integers and rational numbers, explain the sign rules with real situations, and use long division to show a fraction's decimal ends or repeats.
7.NS.A.3
Solve real-world and math problems using all four operations with integers and other rational numbers, like a temperature that drops 3 degrees an hour for 5 hours.

Expressions and Equations

4 standards
7.EE.A.1
Use number properties to simplify, factor, and expand linear expressions that have fraction, decimal, or negative coefficients, like pulling the common factor 2 out of 4x + 2.
7.EE.A.2
Rewrite an expression in another form to show how the quantities in a problem relate, like a 20% discount on price p making the sale price 0.8p.
7.EE.B.3
Solve multi-step real problems with positive and negative whole numbers, fractions, and decimals, choosing tools, switching forms as needed, and estimating to check.
7.EE.B.4
Write and solve two-step equations like 3x + 5 = 20 and inequalities like 3x + 5 > 20 from word problems, and graph the inequality's solutions.
Common Core 7.EE.4

Geometry

6 standards
7.G.A.1
Use scale drawings of figures to find actual lengths and areas, and redraw a scale drawing at a new scale, like enlarging a floor plan.
7.G.A.2
Draw shapes freehand, with ruler and protractor, or with technology, focusing on triangles from three given sides or angles and whether they make one, several, or no triangles.
7.G.A.3
Describe the flat shape made by slicing a three-dimensional figure, like the cross sections of right rectangular prisms and pyramids.
7.G.B.4
Define a circle from its center, relate its radius, diameter, circumference, and area, use the circle formulas in problems, and informally show how area and circumference connect.
7.G.B.5
Write and solve simple equations for a missing angle in multi-step problems, using what is known about supplementary, complementary, vertical, and adjacent angles.
7.G.B.6
Find the area of polygons and the volume and surface area of prisms, including shapes built from several pieces.
Common Core 7.G.6

Statistics and Probability

8 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
Judge how much two data sets with similar spread overlap by writing the gap between their centers as a multiple of the spread, like mean heights two spreads apart.
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
Explain that a probability is a number from 0 to 1 showing how likely an event is, with near 0 unlikely, about 1/2 as likely as not, and near 1 likely.
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
7.SP.C.8
Find the probability of a compound event, like rolling double sixes, by listing outcomes in a table or tree diagram or by running a simulation.
Common Core 7.SP.8

The official Massachusetts documents

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