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Ratios and Proportional Relationships
Ratios and Proportional Relationships
Cluster: 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. (MP.2, MP.6)
KY.6.RP.2. Understand the concept of a unit rate a/b associated with a ratio a:b with B≠0 and use rate language in the context of a ratio relationship. (MP.2, MP.6)
KY.6.RP.3. Use ratio and rate reasoning to solve real-world and mathematical problems. (MP.1, MP.4, MP.7)
KY.6.RP.3.a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
KY.6.RP.3.c. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
The Number System
The Number System
Cluster: 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. (
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
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. (MP.2, MP.
KY.6.NS.6.a. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize 0 is its own opposite and the opposite of a negative number is a positive, and the opposite of a negative number is a positive, such as−(−3)=3
KY.6.NS.6.b. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Quiz, Flash Cards, Worksheet, Game & Study GuidePlot Points
Quiz, Flash Cards, Worksheet, Game & Study GuidePlotting Points
KY.6.NS.6.c. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize the similarity between whole numbers, their negative opposites and their positions on a number line, ordered pairs differ only by signs an
KY.6.NS.7.c. Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.
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. (MP.5
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. (MP.8)
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
Expressions and Equations
Expressions and Equations
Cluster: Represent and analyze quantitative relationships between dependent and independent variables.
KY.6.EE.9. Use variables to represent two quantities in a real-world problem that changes in relationship to one another. (MP.3, MP.4, MP.7)
KY.6.EE.9.b. Write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
KY.6.EE.2.c. Evaluate expressions for specific values of their variables, including values that are non-negative rational numbers. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including whole-number exponents
Quiz, Flash Cards, Worksheet, Game & Study GuideFormulas
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
Cluster: 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 o
Quiz, Flash Cards, Worksheet, Game & Study GuideUsing Integers
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. (MP.2, MP.6)
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
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. (MP.1, MP.2, MP.3, MP.4)
Quiz, Flash Cards, Worksheet, Game & Study GuideSimple Algebra
KY.6.EE.8. Write an inequality of the form x>c, x<cm x≥c, or x≤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
Cluster: Solve real-world and mathematical problems involving area, surface area and volume.
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.
Quiz, Flash Cards, Worksheet, Game & Study GuideFinding Volume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
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
Cluster: Develop understanding of statistical variability.
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. (MP.2., MP.5, MP.6)