Gizmos for Kentucky - Mathematics: 6th Grade (Academic Standards adopted 2019)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

KY.6.RP: Ratios and Proportional Relationships

1.1: Understanding ratio concepts and use ratio reasoning to solve problems.

KY.6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

KY.6.RP.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b not equal to 0 and use rate language in the context of a ratio relationship.

KY.6.RP.3: Use ratio and rate reasoning to solve real-world and mathematical problems.

KY.6.NS: The Number System

2.1: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

KY.6.NS.1: Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions.

2.2: Compute fluently with multi-digit numbers and find common factors and multiples.

KY.6.NS.2: Fluently divide multi-digit numbers using an algorithm.

KY.6.NS.3: Fluently add, subtract, multiply and divide multi-digit decimals using an algorithm for each operation.

KY.6.NS.4: Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

2.3: Apply and extend previous understanding of numbers to the system of rational numbers.

KY.6.NS.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values; use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

KY.6.NS.6: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes, using appropriate range and intervals, to represent points on the line and in the plane, that include negative numbers and coordinates.

KY.6.NS.7: Understand ordering and absolute value of rational numbers.

KY.6.NS.8: Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

KY.6.EE: Expressions and Equations

3.1: Apply and extend previous understandings of arithmetic to algebraic expressions.

KY.6.EE.1: Write and evaluate numerical expressions involving whole-number exponents.

KY.6.EE.2: Write, read and evaluate expressions in which letters stand for numbers.

KY.6.EE.3: Apply the properties of operations to generate equivalent expressions.

KY.6.EE.4: Identify when two expressions are equivalent when the two expressions name the same number regardless of which value is substituted into them.

3.2: Reason about and solve one-variable equation and inequalities.

KY.6.EE.5: Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

KY.6.EE.6: Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or depending on the purpose at hand, any number in a specified set.

KY.6.EE.7: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

KY.6.EE.8: Write an inequality of the form x > c, x < c, x is greater than or equal to c, or x is less than or equal to c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of these forms have infinitely many solutions; represent solutions of such inequalities on vertical and horizontal number lines.

KY.6.G: Geometry

4.1: Solve real-world and mathematical problems involving area, surface area and volume.

KY.6.G.1: Find the area of right triangles, other triangles, special quadrilaterals and polygons by composing into rectangles or decomposing into triangles and quadrilaterals; apply these techniques in the context of solving real-world and mathematical problems.

KY.6.G.2: Find the volume of a right rectangular prism with rational number edge lengths. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with rational number edge lengths in the context of solving real-world and mathematical problems.

KY.6.G.3: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

KY.6.G.4: Classify three-dimensional figures including cubes, prisms, pyramids, cones and spheres.

KY.6.SP: Statistics and Probability

5.1: Develop understanding of the process of statistical reasoning.

KY.6.SP.0: Apply the four-step investigative process for statistical reasoning.

5.2: Develop understanding of statistical variability.

KY.6.SP.1: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

KY.6.SP.2: Understand that a set of numerical data collected to answer a statistical question has a distribution which can be described by its center, spread and overall shape.

KY.6.SP.3: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number to describe a typical value, while a measure of variation describes how the values in the distribution vary.

5.3: Summarize and describe distributions.

KY.6.SP.4: Display the distribution of numerical data in plots on a number line, including dot plots, histograms and box plots.

KY.6.SP.5: Summarize numerical data sets in relation to their context, such as by:

Correlation last revised: 3/30/2026

Kentucky - Mathematics: 6th Grade

Academic Standards | Adopted: 2019

KY.6.RP: Ratios and Proportional Relationships

KY.6.NS: The Number System

KY.6.EE: Expressions and Equations

KY.6.G: Geometry

KY.6.SP: Statistics and Probability