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Georgia Standards

Georgia 7th Grade Math Standards

All 49 Georgia math standards for 7th grade, each explained in plain English. The official wording is in Georgia Department of Education's document, linked at the end of this page.

49 standards

Mathematical Practices

8 standards
7.MP.1
Make sense of a problem before diving in and keep at it when stuck, like planning the steps to find a sale price after a discount and sales tax.
7.MP.2
Switch between a real situation and its symbols, like turning a 6 degree rise from -4 into -4 + 6 and checking that the answer makes sense as a temperature.
7.MP.3
Build convincing arguments and test classmates' reasoning, like defending why a negative times a negative is positive or finding the flaw in a probability claim.
7.MP.4
Model real situations with equations, graphs, scale drawings or probability models, like an equation for a phone plan or a scale map of the school.
7.MP.5
Pick the right tool for each task, like a compass and ruler for circles, a graph to compare proportional relationships, or a spinner to simulate chance events.
7.MP.6
Be exact with signs, units and vocabulary, like keeping track of negative values, naming complementary versus supplementary angles, and labeling area in square units.
7.MP.7
Notice structure that makes work easier, like seeing that adding a 5% tax is the same as multiplying the price by 1.05.
7.MP.8
Generalize from repeated work, like seeing that every point on a proportional graph gives the same y divided by x, which is the unit rate.

Numerical Reasoning

11 standards
7.NR.1.1
Show that a number plus its opposite equals zero, and describe real cases where opposite amounts cancel, like gaining 8 yards and then losing 8 yards.
7.NR.1.2
Show on a number line that adding a number means moving its absolute value right if it is positive or left if negative, and explain sums in context, like -5 + 8 = 3.
7.NR.1.3
Show adding and subtracting rational numbers on horizontal or vertical number lines to solve real problems, like an elevator going from floor -2 up 5 floors to floor 3.
7.NR.1.4
Explain subtracting as adding the opposite, like 3 - 7 = 3 + -7, and find how far apart two numbers are as the absolute value of their difference, like 7 from -2 to 5.
7.NR.1.5
Use properties of operations and part-whole thinking to add and subtract rational numbers, like regrouping -3.5 + 8 + 3.5 to get 8 quickly.
7.NR.1.6
Understand multiplying positive and negative rational numbers through real situations, like losing $4 a day for 3 days is 3 × -4 = -12 dollars.
7.NR.1.7
Show and explain that dividing one integer by any nonzero integer always gives a rational number, like -12 ÷ 5 = -2.4.
7.NR.1.8
Model integer multiplication and division with number lines or patterns, and explain rational products and quotients in context, like -20 ÷ 4 = -5 as a weekly loss.
7.NR.1.9
Use properties of operations to make multiplying and dividing rational numbers easier in real problems, like regrouping 8 × 1.25 × -5 as 10 × -5 = -50.
7.NR.1.10
Change rational numbers among fractions, decimals and percents by dividing part by whole, knowing the decimal ends or repeats, like 3/8 = 37.5% and 1/3 = 0.3 repeating.
7.NR.1.11
Solve multistep real problems with rational numbers, switching forms as needed and checking answers with mental math and estimates, like 25% off $49.99 is about $37.50.

Patterning & Algebraic Reasoning

16 standards
7.PAR.2.1
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.PAR.2.2
Write an expression from a word problem in an equivalent form that makes relationships clearer, like a + 0.05a as 1.05a, showing a 5% increase.
7.PAR.3.1
Set up and solve two-step equations with rational numbers from real problems, like 3x + 12 = 45 for three tickets plus a $12 fee, then explain the solution in context.
7.PAR.3.2
Set up two-step inequalities with rational numbers from real problems, solve and graph them, and explain the solutions, like 20 + 5w ≥ 100 for weeks needed to save $100.
7.PAR.4.1
Find unit rates from ratios of fractions, including lengths, areas and mixed units, like walking 1/2 mile in 1/4 hour is 2 miles per hour.
7.PAR.4.2
Identify the unit rate, also called the constant of proportionality, in tables, graphs, equations, diagrams and descriptions, like y = 4x meaning $4 per pound.
7.PAR.4.3
Decide whether two amounts in a real problem are proportional, like checking that every pair in a table has the same ratio or the graph is a line through the origin.
7.PAR.4.4
Spot proportional relationships, show them with tables, graphs or equations, and use them to solve problems, like y = 2.5x for the cost of x pounds of apples.
7.PAR.4.5
Explain what a point on a proportional graph means in context, especially the origin and the point at x = 1, whose height is the unit rate, like 60 miles in 1 hour.
7.PAR.4.6
Solve problems with scale drawings, like using 1 inch = 10 feet on a floor plan to find real lengths and areas or redrawing the plan at a different scale.
7.PAR.4.7
Explain with similar right triangles drawn along a non-vertical line why its rise over run is the same between any two points on it.
7.PAR.4.8
Graph proportional relationships, seeing the slope as the unit rate, and compare two shown in different forms, like one phone plan in a table and another as an equation.
7.PAR.4.9
Solve multistep percent and ratio problems from daily life with proportional reasoning, like sales tax, tips, markups, discounts and percent change.
7.PAR.4.10
Predict traits of a whole population from a representative sample and recognize the sample's limits, like surveying 50 random students to estimate school lunch choices.
7.PAR.4.11
Analyze how samples are chosen and reach the conclusion that random samples support valid inferences, like drawing names from a hat instead of asking only friends.
7.PAR.4.12
Simulate many random samples of the same size, like ten samples of 20 student heights, and use them to judge how far a sample mean tends to land from the population mean.

Geometric & Spatial Reasoning

8 standards
7.GSR.5.1
Measure an angle by counting how many whole copies of a nonstandard unit angle, like a paper wedge, fit inside it.
7.GSR.5.2
Use a protractor to measure angles to the nearest whole degree, like reading 47° from the correct scale.
7.GSR.5.3
Write and solve equations for a missing angle in multistep problems using supplementary, complementary, vertical and adjacent angle facts, like 2x + 40 = 180.
7.GSR.5.4
Explore how pi connects a circle's radius, diameter, circumference and area to derive C = πd and A = πr², like measuring cans to see C ÷ d is about 3.14.
7.GSR.5.5
Use the formulas for a circle's area and circumference to solve real problems, like how much fencing goes around a round garden 10 feet across.
7.GSR.5.6
Find the surface area of right prisms and cylinders in real situations, like the wrapping paper for a box or the label on a soup can.
7.GSR.5.7
Describe the flat cross sections made by slicing spheres, cones, cylinders, and rectangular prisms and pyramids, like a circle from any cut through a ball.
7.GSR.5.8
Investigate volume as the space inside cylinders and right prisms and calculate it for concrete problems, like how much water a can or a fish tank holds.

Probability Reasoning

6 standards
7.PR.6.1
Express the chance of an event as a number from 0 to 1, where near 0 is unlikely, about 1/2 is neither likely nor unlikely and near 1 is likely, like 0.9 for rain.
7.PR.6.2
Estimate a probability by repeating an experiment many times and noticing the observed frequency gets closer to the theoretical value, like flipping a coin 200 times.
7.PR.6.3
Build a probability model for simple events, compare experimental and theoretical results, and explain gaps, like a die landing on 6 far more often than 1/6 of the time.
7.PR.6.4
Make a uniform probability model where each outcome is equally likely and use it to find probabilities, like each section of a 5-part spinner having a 1/5 chance.
7.PR.6.5
Build a probability model from the frequencies seen in real data, even when outcomes are not equally likely, like a tossed paper cup landing on its side 60% of the time.
7.PR.6.6
Use displays and summaries of category or number data as probability models to compare two samples or populations informally, like 7th and 8th graders' sleep hours.

The official Georgia documents

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