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Missouri Standards

Missouri 5th Grade Math Standards

All 32 Missouri math standards for 5th grade, each explained in plain English. The official wording is in Missouri Department of Elementary and Secondary Education's document, linked at the end of this page.

32 standards

Number Sense and Operations in Base Ten

8 standards
5.NBT.A.1
Read and write numbers from the billions down to the thousandths in words, digits and expanded form, and recognize each, like 3.205 = 3 + 0.2 + 0.005.
5.NBT.A.2
Compare two numbers anywhere from the billions to the thousandths with >, = or < and explain why, like 0.307 > 0.297.
5.NBT.A.3
Recognize that a digit is worth one tenth of what the same digit is worth one place to its left, like the 4 in 0.04 compared with 0.4.
5.NBT.A.4
Find the value of powers of 10, like 10³ = 1,000, and explain how they connect to place value.
5.NBT.A.5
Round numbers to any place from the billions to the thousandths, like 6.348 to the nearest hundredth is 6.35.
5.NBT.A.6
Add and subtract whole numbers with many digits and decimals to the thousandths, like 12.405 minus 3.27, and explain the answer.
5.NBT.A.7
Multiply whole numbers with several digits and decimals to the hundredths, like 3.25 × 14, and explain why the answer is correct.
5.NBT.A.8
Divide whole numbers and decimals to the hundredths with dividends up to four digits and divisors up to two digits, like 6,384 ÷ 24, and explain the answer.

Number Sense and Operations in Fractions

8 standards
5.NF.A.1
Recognize that part of a whole can be written as a fraction, a decimal or both, like 3/4 or 0.75 of a pizza.
5.NF.A.2
Change decimals into fractions and fractions into decimals, like 0.6 = 6/10 and 1/4 = 0.25.
5.NF.A.3
Compare and put in order fractions and decimals to the thousandths with >, = or <, and explain why, like 0.125 < 1/5 < 0.3.
5.NF.B.4
Make quick estimates when adding, subtracting or multiplying fractions and decimals to the thousandths, like 2.98 × 4.1 is about 12.
5.NF.B.5
Estimate fraction products and explain why multiplying by a fraction above 1 makes a number bigger, below 1 smaller, and by n/n leaves it equal.
5.NF.B.6
Solve problems that add and subtract fractions and mixed numbers with different denominators, like 2 1/3 + 1 3/4, and explain the answer.
5.NF.B.7
Multiply fractions by whole numbers and by other fractions less than one, explain what the product means, and link it to rectangles with fraction sides.
5.NF.B.8
With drawings and equations, divide a unit fraction by a whole number and the reverse, explaining each answer, like 1/3 ÷ 4 = 1/12 and 4 ÷ 1/3 = 12.

Relationships and Algebraic Thinking

5 standards
5.RA.A.1
Make two number patterns from two rules, pair their terms as ordered pairs, graph them and describe how the patterns relate, like add 3 and add 6.
5.RA.A.2
Write a rule that describes or explains a number pattern, like each term is double the one before.
5.RA.B.3
Write, find the value of and explain number expressions by following the order of operations, like 2 × (8 + 4) − 3 = 21.
5.RA.B.4
Turn expressions given in words into algebraic expressions, like three more than a number becomes n + 3.
5.RA.C.5
Solve problems with several steps that involve variables, whole numbers, fractions and decimals, and explain why the answer works.

Geometry and Measurement

9 standards
5.GM.A.1
Recognize that every property of a group of shapes also belongs to each smaller group inside it, like all rectangles have four right angles, so squares do too.
5.GM.A.2
Sort shapes into a hierarchy by their properties, like squares within rectangles within parallelograms within quadrilaterals.
5.GM.A.3
Describe and analyze the features of prisms and pyramids, like the number and shape of their faces, edges and vertices.
5.GM.B.4
Explain that volume is counted in cubic units using 1-unit cubes, and that a rectangular prism's volume comes from stacking layers of its base.
5.GM.B.5
Use V = l × w × h and V = B × h to find the volume of right rectangular prisms with whole-number edges, like 3 × 4 × 5 = 60 cubic units.
5.GM.C.6
Describe the first quadrant of the coordinate plane as two perpendicular number lines meeting at 0, where a point's first number is across and the second is up.
5.GM.C.7
Plot points in the first quadrant of the coordinate plane and explain what they mean, like (3, 5) on a graph of hours and miles.
5.GM.D.8
Convert between units of length, weight and capacity within one system, like 3 gallons = 12 quarts or 2.5 kg = 2,500 g.
5.GM.D.9
Solve multi-step problems that need unit conversions, like finding how many 8-ounce cups a 2-gallon jug fills.

Data and Statistics

2 standards
5.DS.A.1
Make a line graph of a data set and use it to answer questions and solve problems, like how a plant's height changed over a month.
5.DS.A.2
Build a line plot from given or collected data, find its median, point out any outliers, and use it to answer questions and solve problems.

The official Missouri documents

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