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Indiana Standards

Indiana 7th Grade Math Standards

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

24 standards

Number Sense

7 standards
7.NS.1
Show on a number line that a number plus its opposite is 0, and add positive and negative numbers in real situations, like a $20 deposit and a $35 withdrawal.
7.NS.2
Find how far apart two positive or negative numbers are by taking the absolute value of their difference, like -3 and 5 being 8 apart, and apply it to real situations.
7.NS.3
Use properties of operations, especially the distributive property, to explain why a negative times a negative is positive and the sign rules for multiplying.
7.NS.4
Explain that a negative fraction has the same value whether the minus sign is in front, in the numerator or in the denominator, as long as the denominator is not zero.
7.NS.5
Break a whole number down into prime factors and write them with exponents, like 72 = 2 cubed times 3 squared.
7.NS.6
Use the fact that squaring and taking a square root undo each other to find square roots of perfect squares, like 9 squared is 81 so the square root of 81 is 9.
7.NS.7
Add, subtract, multiply and divide positive and negative fractions and decimals quickly and accurately using standard methods.

Ratios and Proportional Reasoning

3 standards
7.RP.1
Spot the constant of proportionality, the unit rate, in a table, graph, equation or word description, like 3 in y = 3x or $2 per pound.
7.RP.2
Solve multi-step percent and ratio problems with proportions, like sales tax, tips, discounts, markups, simple interest and percent increase or decrease.
7.RP.3
Represent proportional situations with equations and graphs, and connect the unit rate to m in y = mx, like y = 12x for 12 dollars an hour.

Algebra and Functions

6 standards
7.AF.1
Use properties of operations to write equivalent linear expressions, including factoring out a common number, like 6x + 9 as 3 times 2x + 3, and justify each step.
7.AF.2
Solve real problems with positive and negative fractions and decimals in one or two steps, like the temperature after a 4.5 degree drop from -2 degrees.
7.AF.3
Solve equations like 3x + 5 = 20 and 4 times the sum of x and 3 = 20 fluently, and write and solve such equations for real problems.
7.AF.4
Solve two-step inequalities like 2x + 3 > 11, write them for real problems, graph the solutions on a number line and explain what they mean.
7.AF.5
Define slope as the rise for each one-unit run, explain that a constant slope makes a linear function, and tell constant rates of change from changing ones.
7.AF.6
Draw a line from a given point and slope, and read the slope of a line from its graph, like a rise of 2 over a run of 3.

Geometry and Measurement

3 standards
7.GM.1
Solve problems with scale drawings, like finding real lengths and areas from a map or floor plan, and make a scale drawing using proportions.
7.GM.2
Know and use the formulas for a circle's area and circumference in problems, and informally explain how the two formulas are connected.
7.GM.3
Solve real problems about the volume of cylinders and of solids built from rectangular boxes, like a can of soup or an L-shaped planter.

Data Analysis, Statistics, and Probability

5 standards
7.DSP.1
Explain that a sample can tell us about a whole population only if it is representative, and that random sampling helps make samples fair and conclusions valid.
7.DSP.2
Use mean, median, range, IQR and mean absolute deviation from random samples to compare two populations, like the heights of 7th and 8th graders.
7.DSP.3
Judge how much two data sets overlap in line plots or box plots, and explain how new data, especially outliers, can change the mean or median.
7.DSP.4
Describe the chance of an event as a number from 0 to 1, where 0 is impossible, 1/2 is equally likely and 1 is certain, and label events from impossible to certain.
7.DSP.5
Build probability models for simple events with equally likely outcomes, predict how often each will happen, and compare with real results, explaining any gaps.

The official Indiana documents

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