Kentucky Grade 6 Math

KY.6

• KY.6.RP.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
• KY.6.RP.2Understand the concept of a unit ratea/bassociated with a ratioa:bwithb≠ 0 and use rate language in the context of a ratio relationship
• KY.6.RP.3Use ratio and rate reasoning to solve real-world and mathematical problems
• KY.6.NS.1Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions
• KY.6.NS.2Fluently divide multi-digit numbers using an algorithm
• KY.6.NS.3Fluently add, subtract, multiply and divide multi-digit decimals using an algorithm for each operation
• KY.6.NS.4Use 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
• KY.6.NS.5Understand 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.6Understand 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.7Understand ordering and absolute value of rational numbers
• KY.6.NS.8Solve 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.1Write and evaluate numerical expressions involving whole-number exponents
• KY.6.EE.2Write, read and evaluate expressions in which letters stand for numbers
• KY.6.EE.3Apply the properties of operations to generate equivalent expressions
• KY.6.EE.4Identify when two expressions are equivalent when the two expressions name the same number regardless of which value is substituted into them
• KY.6.EE.5Understand 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.6Use 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.7Solve real-world and mathematical problems by writing and solving equations of the formx+p=qandpx=qfor cases in whichp,qandxare all nonnegative rational numbers
• KY.6.EE.8Write an inequality of the formx>c,x<c,x≥c, orx≤cto 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.EE.9Use variables to represent two quantities in a real-world problem that changes in relationship to one another
• KY.6.G.1Find 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.2Find the volume of a right rectangular prism with rational number edge lengths. Apply the formulasV=lwhandV=Bhto find volumes of right rectangular prisms with rational number edge lengths in the context of solving real-world and mathematical problems
• KY.6.G.3Draw 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.4Classify three-dimensional figures including cubes, prisms, pyramids, cones and spheres
• KY.6.SP.0Apply the four-step investigative process for statistical reasoning
• KY.6.SP.1Recognize 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.2Understand 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.3Recognize 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
• KY.6.SP.4Display the distribution of numerical data in plots on a number line, including dot plots, histograms and box plots
• KY.6.SP.5Summarize numerical data sets in relation to their context, such as by: