Skip to main content
Kentucky Standards

Kentucky 5th Grade Math Standards

All 26 Kentucky math standards for 5th grade, each explained in plain English. The official wording is in Kentucky Department of Education's document, linked at the end of this page.

26 standards

Operations and Algebraic Thinking

3 standards
KY.5.OA.1
Use parentheses, brackets, or braces to group parts of a number expression, and find the value of expressions with these symbols, like 2 × (3 + 5).
KY.5.OA.2
Write simple number expressions, like add 8 and 7 then multiply by 2, and explain what an expression means without working it out.
KY.5.OA.3
Make number patterns from one or two rules, describe how paired terms relate, and show the pairs with tables, ordered pairs, and graphs.

Number and Operations in Base Ten

7 standards
KY.5.NBT.1
Know that each place is worth ten times the place to its right and one tenth of the place to its left.
Common Core 5.NBT.1
KY.5.NBT.2
Explain patterns in zeros and decimal point placement when multiplying or dividing by powers of 10, and write powers of 10 with exponents, like 10³ for 1,000.
KY.5.NBT.3
Read and write decimals to thousandths, like 347.392, in words and expanded form, and compare two decimals digit by digit.
Common Core 5.NBT.3
KY.5.NBT.4
Round decimals to any place, like 3.467 to the nearest hundredth.
Common Core 5.NBT.4
KY.5.NBT.5
Multiply multi-digit whole numbers, up to four digits by two digits, quickly and accurately using a standard written method.
KY.5.NBT.6
Divide numbers up to four digits by two-digit divisors using place value, properties, or multiplication, explaining the work with equations, arrays, or area models.
KY.5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths with models, place value, and properties, and connect each strategy to a written method with reasoning.

Number and Operations – Fractions

7 standards
KY.5.NF.1
Add and subtract fractions and mixed numbers with unlike denominators efficiently, by counting up on a number line, using fraction models, or finding common denominators.
KY.5.NF.2
Solve word problems adding and subtracting fractions of the same whole, including unlike denominators, and use benchmarks like 1/2 to estimate and check answers.
KY.5.NF.3
See a fraction as division, like 3/4 = 3 ÷ 4, and solve word problems dividing whole numbers with fraction or mixed-number answers using models or equations.
KY.5.NF.4
Multiply a whole number or fraction by a fraction, like 2/3 of 6, and find areas of rectangles with fraction sides by tiling and by multiplying the side lengths.
KY.5.NF.5
Tell, without multiplying, whether a product will be bigger or smaller than one factor, since multiplying by a fraction less than 1 shrinks a number.
Common Core 5.NF.5
KY.5.NF.6
Solve real-life problems that multiply fractions and mixed numbers, like finding 3/4 of a recipe that calls for 2 1/2 cups.
KY.5.NF.7
Divide a unit fraction by a whole number and a whole number by a unit fraction, like 1/3 ÷ 4 = 1/12 and 4 ÷ 1/5 = 20, and use this in real-world problems.
Common Core 5.NF.7

Measurement and Data

5 standards
KY.5.MD.1
Convert between bigger and smaller units of mass, weight, volume, length, and time within the metric or U.S. system, like 3 feet to 36 inches.
KY.5.MD.2
Ask statistical questions about category and number data, collect the data, choose a bar graph, picture graph, or dot plot to show it, and draw conclusions.
KY.5.MD.3
Understand volume as the space inside a solid, measured by how many unit cubes fill it without gaps or overlaps.
Common Core 5.MD.3
KY.5.MD.4
Find volume by counting unit cubes in cubic centimeters, cubic inches, cubic feet, and made-up units.
KY.5.MD.5
Find the volume of a box-shaped prism with the formulas V = l × w × h and V = b × h, and add up the volumes of two prisms joined together.
Common Core 5.MD.5

Geometry

4 standards
KY.5.G.1
Explain a coordinate grid as two perpendicular number lines meeting at 0, and locate points by ordered pairs, moving along the first axis and then the second.
KY.5.G.2
Graph real-world data as points in the first quadrant of a coordinate grid and explain what each point’s coordinates mean.
Common Core 5.G.2
KY.5.G.3
Explain that features of a shape group belong to every smaller group in it, like all rectangles have four right angles so all squares do too.
KY.5.G.4
Sort two-dimensional shapes into a hierarchy by their properties, like quadrilaterals, then parallelograms, then rectangles, then squares.
Common Core 5.G.4

The official Kentucky documents

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