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North Carolina Standards

North Carolina 7th Grade Math Standards

All 23 North Carolina math standards for 7th grade, each explained in plain English. The official wording is in North Carolina Department of Public Instruction's document, linked at the end of this page.

23 standards

Ratio and Proportional Relationships

3 standards
NC.7.RP.1
Find unit rates from ratios of fractions, like walking 1/2 mile every 1/4 hour being 2 miles per hour, to solve real problems.
NC.7.RP.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
NC.7.RP.3
Work out percent and ratio problems, like a tip, tax, discount or markup, by scaling up or down or by using a unit rate.

The Number System

3 standards
NC.7.NS.1
Add and subtract positive and negative numbers, including fractions and decimals, using number properties, and describe real situations like temperature changes.
NC.7.NS.2
Multiply and divide signed numbers with number properties, know any fraction of integers is rational, and use long division to show its decimal ends or repeats.
NC.7.NS.3
Solve real and math problems that combine all four operations on positive and negative fractions, decimals and integers, like a bank balance after charges.

Expressions and Equations

4 standards
NC.7.EE.1
Use number properties to combine and expand linear expressions with signed fraction or decimal coefficients, and factor out an integer GCF, like pulling 3 out of 6x + 9.
NC.7.EE.2
See how rewriting an expression can reveal a relationship, like a + 0.05a meaning a 5% rise, and explain what each part means in context.
NC.7.EE.3
Solve multi-step problems with positive and negative numbers in any form, switching between fractions, decimals and percents and rewriting expressions as needed.
NC.7.EE.4
Build and solve multi-step equations and inequalities with the variable on one side from word problems, graph inequality solutions and explain answers in context.

Geometry

5 standards
NC.7.G.1
Use scale drawings, knowing angles stay the same and sides grow in proportion, to find real lengths and areas with a scale factor, and make scale drawings.
NC.7.G.2
Explain which sets of side lengths and angles make one triangle, many triangles or none, and build triangles from three given sides or angles.
NC.7.G.4
Explain how a circle's radius, diameter, circumference and area are linked, and use the area and circumference formulas, like finding the crust length of a 10-inch pizza.
NC.7.G.5
Set up and solve equations to find a missing angle in a figure, like x + 35 = 90, using what is known about supplementary, complementary, vertical and adjacent angles.
NC.7.G.6
Find area and perimeter of shapes built from triangles and quadrilaterals, and volume and surface area of prisms, pyramids and solids made from them, in real problems.

Statistics and Probability

8 standards
NC.7.SP.1
Explain that a sample tells about a whole group only if it represents that group, and use random sampling to get fair samples, like drawing names from a hat.
NC.7.SP.2
Take several same-size random or simulated samples to see how much estimates vary, then draw conclusions about a population, like a school's favorite lunch.
NC.7.SP.3
Measure spread with mean absolute deviation, range and interquartile range, and judge how different two data sets are by how much their graphs overlap.
NC.7.SP.4
Compare two populations by looking at the centers and spreads of random samples from each, like reaction times of 7th and 8th graders.
NC.7.SP.5
Express the chance of an event as a number from 0 to 1, where 0 means impossible, 1 means certain and 1/2 means as likely as not.
NC.7.SP.6
Run a chance experiment many times to find an experimental probability, and use it to predict about how often an outcome will happen, like rolling a 6.
NC.7.SP.7
Build probability models, giving outcomes equal chances or using repeated trials, find probabilities with them, and explain gaps between predicted and observed results.
NC.7.SP.8
Find probabilities of compound events like flipping two heads using lists, tables, tree diagrams and simulations, as a fraction of the possible outcomes.

The official North Carolina documents

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