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Georgia Standards

Georgia 5th Grade Math Standards

All 33 Georgia math standards for 5th grade, each explained in plain English. The official wording is in Georgia Department of Education's document, linked at the end of this page.

33 standards

Mathematical Practices

8 standards
5.MP.1
Figure out what a problem is asking and keep trying new approaches when stuck, like rereading a multistep fraction word problem and sketching a model of it.
5.MP.2
Move between numbers and what they stand for, like turning 2 pizzas shared by 3 friends into 2 ÷ 3 and explaining that each friend gets 2/3 of a pizza.
5.MP.3
Explain and defend an answer with reasons and examples, and listen to classmates to decide if their thinking holds up, like debating whether 0.5 or 0.45 is larger.
5.MP.4
Use math to represent everyday situations, like writing 4 × 12 - 5 for four packs of 12 markers with 5 given away, or drawing a diagram of a garden bed.
5.MP.5
Choose a helpful tool for each job, like unit cubes to build a box's volume, a ruler for lengths, or a number line to compare fractions.
5.MP.6
Work carefully and communicate clearly with correct labels, units and symbols, like writing cubic units for volume and lining up decimal points to add.
5.MP.7
Spot patterns and structure in numbers and shapes, like noticing that multiplying by 10 shifts every digit one place to the left.
5.MP.8
Notice when a calculation keeps repeating and turn it into a general shortcut, like seeing that adding 3/4 five times is the same as 5 × 3/4.

Numerical Reasoning

15 standards
5.NR.1.1
Explain how a digit's worth grows tenfold with each move to the left and shrinks to a tenth with each move to the right, like the 7 in 700 is ten times the 7 in 70.
5.NR.1.2
Describe how digits shift places when a number is multiplied or divided by 10, 100 or 1,000, and write those as powers of ten up to 10³, like 10² = 100.
5.NR.2.1
Multiply a number of up to three digits by a two-digit number quickly and accurately to solve real problems, like 18 rows of 124 seats.
5.NR.2.2
Divide whole numbers of up to four digits by a divisor no bigger than 25 quickly and accurately in real problems, like 1,350 stickers shared among 18 classes.
5.NR.3.1
Explain a fraction as top number divided by bottom number, and solve sharing problems with fraction or mixed number answers, like 7 pizzas for 4 kids is 1 3/4 each.
5.NR.3.2
Put up to three fractions in order when their numerators or denominators differ, like 2/3, 3/5 and 7/10, choosing among models, benchmarks or common denominators.
5.NR.3.3
Add and subtract fractions and mixed numbers with different denominators, using models to solve word problems, like 2 1/2 cups plus 1 2/3 cups is 4 1/6 cups.
5.NR.3.4
Use drawings or models to multiply a fraction by a whole number in word problems, like 4 friends each eating 2/3 of a sandwich eat 8/3, or 2 2/3, sandwiches.
5.NR.3.5
Explain why scaling a whole number by a fraction over 1 gives a larger product, under 1 a smaller one, and equal to 1 the same number, like 6 × 3/2 = 9.
5.NR.3.6
Use models to solve problems that split a unit fraction into equal groups or a whole number into unit-fraction pieces, like 1/3 ÷ 2 = 1/6 and 4 ÷ 1/2 = 8.
5.NR.4.1
Read decimals to the thousandths aloud and write them in standard and expanded form, like 4.207 = 4 + 0.2 + 0.007.
5.NR.4.2
Show decimals to the thousandths with models, then compare and order them by the value of each digit, writing results with >, = or <, like 0.307 > 0.298.
5.NR.4.3
Round decimals to the nearest hundredth by reasoning about place value, like 6.348 rounds to 6.35.
5.NR.4.4
Add and subtract decimals to the hundredths with a range of strategies to solve problems, like $12.75 + $4.38 = $17.13.
5.NR.5.1
Write, explain and evaluate simple whole-number expressions, with or without parentheses, for real situations, like 2 × 15 + 6 for two $15 tickets and a $6 snack.

Patterning & Algebraic Reasoning

2 standards
5.PAR.6.1
Make two number patterns from two given rules and fill in a table to see how paired terms relate, like add 3 and add 6 from 0, where the second is always double.
5.PAR.6.2
Plot ordered pairs in the first quadrant to represent problems and explain what each coordinate means, like a point 3 across and 5 up for 5 miles walked in 3 hours.

Measurement & Data Reasoning

4 standards
5.MDR.7.1
Work through everyday problems that use a mix of units for distance, mass, weight, volume and time, like comparing race times or the weights of two packages.
5.MDR.7.2
Pose questions about everyday life and answer them with collected data, observations and suitable graphs, like a line plot of how many hours classmates sleep.
5.MDR.7.3
Convert between metric units, like 2.5 kilometers to 2,500 meters, and use those conversions to solve real problems with several steps.
5.MDR.7.4
Convert between larger and smaller units in the customary system, like 3 feet to 36 inches or 2 gallons to 8 quarts.

Geometric & Spatial Reasoning

4 standards
5.GSR.8.1
Classify polygons by sides and angles, then compare and contrast them, like a square and a rhombus both having four equal sides but only a square needing right angles.
5.GSR.8.2
Discover by exploring that any property of a category of flat shapes holds for all its subcategories, like all rectangles have four right angles, so squares do too.
5.GSR.8.3
Pack a right rectangular prism with unit cubes, leaving no gaps or overlaps, and count them to find its volume, like a 4 by 3 by 2 box holds 24 cubes.
5.GSR.8.4
Discover and explain why a rectangular prism's volume is its base area times its height, and use it in problems, like a 5 by 4 base 3 units tall gives 60 cubic units.

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.