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Kentucky Standards

Kentucky 6th Grade Math Standards

All 30 Kentucky math standards for 6th grade, each explained in plain English. The official wording is in Kentucky Department of Education's document, linked at the end of this page.

30 standards

Ratios and Proportional Relationships

3 standards
KY.6.RP.1
Explain what a ratio is and describe how two amounts compare in ratio terms, like there are 3 cats for every 2 dogs.
KY.6.RP.2
Find the unit rate for a ratio and describe it in rate words, like 6 cups of flour for 3 cakes is 2 cups per cake.
KY.6.RP.3
Solve ratio and rate problems with tables of equal ratios, graphs of value pairs, unit prices, constant speed, and unit conversions, like 4 for $8 means $2 each.

The Number System

8 standards
KY.6.NS.1
Explain and calculate what dividing a fraction by a fraction means, like 2/3 ÷ 3/4, and solve word problems that need it.
KY.6.NS.2
Divide multi-digit numbers quickly and accurately with long division, use it to turn fractions into decimals, and know those decimals end or repeat.
KY.6.NS.3
Add, subtract, multiply, and divide multi-digit decimals quickly and accurately with a standard method for each.
KY.6.NS.4
Use the distributive property to pull a common factor out of a sum of two whole numbers up to 100, like 36 + 8 = 4 × (9 + 2).
KY.6.NS.5
Use positive and negative numbers for opposite amounts in real life, like temperatures above and below zero or deposits and withdrawals, and explain what 0 means each time.
KY.6.NS.6
Place rational numbers on number lines and coordinate grids including negatives, explain opposites like −(−3) = 3, and use the signs of an ordered pair to find its quadrant.
KY.6.NS.7
Order positive and negative numbers, like -3 is warmer than -7, and read absolute value as distance from 0, so a balance of -30 is a debt of 30.
Common Core 6.NS.7
KY.6.NS.8
Solve problems by graphing points in all four quadrants and find the distance between two points that line up horizontally or vertically.
Common Core 6.NS.8

Expressions and Equations

9 standards
KY.6.EE.1
Write and work out expressions with whole-number exponents, like 5³ = 125.
Common Core 6.EE.1
KY.6.EE.2
Write and work out expressions with letters standing for numbers, like 5 - y, name their parts (terms, factors, coefficients) and follow the order of operations.
Common Core 6.EE.2
KY.6.EE.3
Use properties of operations to write expressions that are equal, like rewriting 3(2 + x) as 6 + 3x.
KY.6.EE.4
Tell when two expressions are equivalent because they give the same value for any number put in, like y + y + y and 3y.
KY.6.EE.5
Check whether a given number makes an equation or inequality true by substituting it in.
Common Core 6.EE.5
KY.6.EE.6
Use a letter for an unknown or changing number when writing an expression for a real problem.
Common Core 6.EE.6
KY.6.EE.7
Solve real problems with one-step equations like x + 3 = 7 or 4x = 20, using positive whole numbers, fractions and decimals.
Common Core 6.EE.7
KY.6.EE.8
Write inequalities like x > 5 or x ≤ 10 to show a limit in a real problem, know they have endless solutions, and graph the solutions on number lines.
KY.6.EE.9
Use variables for two quantities that change together, decide which is dependent and which independent, write an equation linking them, and study them with graphs and tables.

Geometry

4 standards
KY.6.G.1
Find areas of triangles, special quadrilaterals, and other polygons by joining shapes into rectangles or cutting them into triangles, and use this to solve real problems.
KY.6.G.2
Find the volume of rectangular boxes with fractional edge lengths by using V = lwh and V = Bh in real-life and math problems.
KY.6.G.3
Draw polygons from the coordinates of their corners and use the coordinates to find side lengths.
Common Core 6.G.3
KY.6.G.4
Sort solid shapes such as cubes, prisms, pyramids, cones, and spheres by their features.

Statistics and Probability

6 standards
KY.6.SP.0
Run a four-step statistics investigation by asking a question with varied answers, planning and collecting data, analyzing it with graphs and measures, and drawing conclusions.
KY.6.SP.1
Recognize a statistical question as one expecting varied answers, like how tall are students in my class, rather than how tall am I.
KY.6.SP.2
Explain that a set of number data has a distribution, which can be summed up by where its center is, how spread out it is, and its overall shape.
KY.6.SP.3
Explain that a measure of center sums up a data set's typical value in one number, while a measure of variation shows how much the values differ.
KY.6.SP.4
Show number data on a number line using dot plots, histograms, and box plots.
KY.6.SP.5
Summarize a data set in its context, reporting how many values there are, what was measured, the mean or median, the spread and the overall shape.
Common Core 6.SP.5

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.