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Georgia Standards

Georgia 6th Grade Math Standards

All 46 Georgia math standards for 6th grade, each explained in plain English. The official wording is in Georgia Department of Education's document, linked at the end of this page.

46 standards

Mathematical Practices

8 standards
6.MP.1
Figure out what a problem really asks and stick with it, trying a new plan when one fails, like working through a multistep unit-price problem to find the best buy.
6.MP.2
Translate real situations into numbers and symbols and back again, like writing 3n for the cost of n notebooks at $3 each and explaining what the result means.
6.MP.3
Make a clear case for an answer and question others' reasoning respectfully, like arguing on a number line whether -5 or -2 is greater.
6.MP.4
Represent real-life situations with expressions, equations, tables and graphs, like a ratio table for mixing paint or an equation for a savings goal.
6.MP.5
Pick useful tools for each task, like a number line for negative numbers, a net for surface area, or a calculator to check unit prices.
6.MP.6
Be precise with vocabulary, symbols and units, like stating a ratio in the right order, labeling area in square units and placing negative signs carefully.
6.MP.7
Look for structure in expressions and shapes, like seeing that 4x + 8 equals 4 times the sum of x and 2, or splitting a trapezoid into a rectangle and two triangles.
6.MP.8
Spot repeated steps and turn them into a general rule, like noticing that each row of a ratio table multiplies both amounts by the same number.

Numerical Reasoning

22 standards
6.NR.1.1
Add and subtract any mix of fractions and mixed numbers quickly and accurately, like 3 1/4 - 1 5/6 = 1 5/12.
6.NR.1.2
Multiply and divide whole numbers, fractions and mixed numbers in any mix with a chosen strategy, and explain what the answer means, like 3/4 cup ÷ 1/8 cup = 6 scoops.
6.NR.1.3
Add, subtract, multiply and divide multi-digit decimals fluently, using models or a chosen strategy, like 12.6 × 0.35 = 4.41.
6.NR.2.1
Describe and interpret the mean as the fair-share value each would get if the total were split evenly, like scores of 4, 6 and 8 evening out to 6 each.
6.NR.2.2
Summarize data in context, showing number data in dot plots, histograms and box plots and category data in bar graphs, like pet types in a bar graph.
6.NR.2.3
Pose a statistical question, then interpret the number data collected to answer it, describing its center, spread and overall shape, like minutes spent getting to school.
6.NR.2.4
Design simple experiments to gather data, find the median or mean plus the range or interquartile range, and use them to draw conclusions, compare sets and predict.
6.NR.2.5
Explain how a data set's shape and context guide the choice of center and spread measures, like favoring the median when one very high price pulls the mean up.
6.NR.2.6
Describe how adding or removing a data value shifts the mean and median, making a dot plot or box plot to see it, like an outlier tugging the mean more than the median.
6.NR.3.1
Identify and compare integers in real situations and explain what zero stands for in each, like sea level, a bank balance of $0, or 0 degrees.
6.NR.3.2
Put integers in order and mark them on a number line, seeing that a number and its opposite sit the same distance from zero, like 4 and -4.
6.NR.3.3
Recognize and explain that opposite signs put numbers on either side of zero, and that flipping a number's sign twice gives the number back, like 6 to -6 and back to 6.
6.NR.3.4
Compare rational numbers, including negatives, with =, < and >, and write and explain order statements in context, like -3 °C < -1 °C means -3 °C is colder.
6.NR.3.5
Explain absolute value as a number's distance from zero and use it to describe size in real situations, like a balance of -$25 shows a debt of $25.
6.NR.3.6
Tell the difference between comparing absolute values and comparing order, like -30 is less than -5 even though a $30 debt is bigger than a $5 debt.
6.NR.4.1
Explain what a ratio is, show it in different forms and describe how two amounts relate with ratio words, like for every 3 cats there are 2 dogs, written 3:2.
6.NR.4.2
Build tables of equal ratios with whole numbers, fill in missing values, plot the pairs on a coordinate plane and use tables to compare ratios, like 2:5, 4:10, 6:15.
6.NR.4.3
Solve proportion problems with a strategy of choice, like a ratio table, double number line or scaling up, such as 3 cups of rice for 4 people meaning 9 cups for 12.
6.NR.4.4
Describe a rate as a ratio comparing different units and a unit rate as the amount for just one unit, like $12 for 4 pounds is $3 per pound.
6.NR.4.5
Find unit rates to solve problems about prices and steady speeds, like which cereal box costs less per ounce, or how far a bike at 12 miles per hour goes in 3 hours.
6.NR.4.6
Find a percent of an amount by thinking of percent as parts out of 100, and use it in daily-life problems, like a 15% tip on $40 is $6.
6.NR.4.7
Use ratios to convert units within the customary or metric system for real-life problems, like using 3 feet per yard to turn 15 feet into 5 yards.

Geometric & Spatial Reasoning

3 standards
6.GSR.5.1
Find areas of triangles, quadrilaterals and other polygons by cutting them into or building them from rectangles and triangles, like a triangle as half a rectangle.
6.GSR.5.2
Use a net of rectangles and triangles to find the surface area of a solid, like adding the areas of all faces of a cereal box or a triangular prism.
6.GSR.5.3
Find the volume of right rectangular prisms with fraction side lengths using base area times height, like 2 1/2 by 2 by 1 1/2 inches is 7 1/2 cubic inches.

Patterning & Algebraic Reasoning

13 standards
6.PAR.6.1
Write and find the value of expressions with whole-number exponents, where the base may be a fraction or decimal, like 0.3² = 0.09 or 3⁴ - 1 = 80.
6.PAR.6.2
Use several strategies to find greatest common factors and least common multiples in problems, like making at most 6 matching snack bags from 18 apples and 24 crackers.
6.PAR.6.3
Read and write expressions with numbers and variables for everyday situations, like 5 + 2n for a $5 entry fee plus $2 per ride.
6.PAR.6.4
Find the value of an expression by plugging in given numbers for its variables, like 5 + 2n with n = 6 is 17, the cost of six rides.
6.PAR.6.5
Use properties of operations, like the distributive property, to recognize and create equivalent expressions, such as rewriting 6x + 9 as 3 times the sum of 2x and 3.
6.PAR.7.1
Test given values in one-step equations and inequalities to see which make them true, like checking whether x = 4 solves x + 7 = 11 or makes 3x > 15 true.
6.PAR.7.2
Write and solve one-step equations and inequalities for word problems, and explain that a variable can be one unknown or any number in a set, like h ≥ 48 for a ride.
6.PAR.7.3
Solve real problems by writing and solving one-step equations that add, multiply or divide with nonnegative fractions or decimals, like 4x = 10 so x = 2.5.
6.PAR.7.4
Recognize and write inequalities such as s ≤ 55 for situations with infinitely many solutions, and graph them on a number line, like any speed up to 55 mph.
6.PAR.8.1
Mark fractions, decimals and negatives on horizontal or vertical number lines, and plot points with integer or rational coordinates on a coordinate plane.
6.PAR.8.2
Explain how the signs of a point's coordinates tell its quadrant, and how two points whose coordinates differ only in sign are mirror images across an axis.
6.PAR.8.3
Solve problems by plotting points in all four quadrants, and use absolute value to find how far apart two points are when they share an x or y value, like on a town map.
6.PAR.8.4
Draw polygons on the coordinate plane from given corner points, and work out the length of any side that runs straight across or straight up and down.

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.