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.

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Proportions and Common Multipliers
Road Trip (Problem Solving)

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.

Beam to Moon (Ratios and Proportions)
Household Energy Usage
Road Trip (Problem Solving)

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

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.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Points, Lines, and Equations
Slope

KY.6.RP.3.b: Solve rate problems including those involving unit pricing and constant speed.

Household Energy Usage
Road Trip (Problem Solving)

KY.6.RP.3.c: Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Unit Conversions

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.

Dividing Fractions
Dividing Mixed Numbers

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.2.a: Convert a rational number to a decimal using long division.

Percents, Fractions, and Decimals

KY.6.NS.2.b: Know that the decimal form of a rational number terminates in 0s or eventually repeats.

Percents, Fractions, and Decimals

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

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Square Roots
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

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.

Equivalent Algebraic Expressions II

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.

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

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.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 positive number is a negative, and the opposite of a negative number is a positive, such as -(-3) = 3.

Adding and Subtracting Integers
Adding on the Number Line
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

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.

Adding on the Number Line
City Tour (Coordinates)
Elevator Operator (Line Graphs)
Fraction Garden (Comparing Fractions)
Integers, Opposites, and Absolute Values
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Points in the Coordinate Plane
Points, Lines, and Equations
Rational Numbers, Opposites, and Absolute Values

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 and their locations on one or both axes.

City Tour (Coordinates)
Points in the Coordinate Plane

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

KY.6.NS.7.a: Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

Comparing and Ordering Decimals
Integers, Opposites, and Absolute Values
Modeling Decimals (Area and Grid Models)
Rational Numbers, Opposites, and Absolute Values
Treasure Hunter (Decimals on the Number Line)

KY.6.NS.7.b: Write, interpret and explain statements of order for rational numbers in real-world contexts.

Estimating Population Size
Integers, Opposites, and Absolute Values
Modeling Decimals (Area and Grid Models)

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.

Absolute Value with Linear Functions
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

KY.6.NS.7.d: Distinguish comparisons of absolute value from statements about order.

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

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.

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations
Slope

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.

Order of Operations

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

KY.6.EE.2.a: Write expressions that record operations with numbers and with letters standing for numbers. For example,

Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

KY.6.EE.2.b: Identify parts of an expression using mathematical terms (sums, term, product, factor, quotient, coefficient); view one or more parts of an expression in a single entity. For example,

Compound Interest
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Using Algebraic Equations
Using Algebraic Expressions

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, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example,

Circumference and Area of Circles
Equivalent Algebraic Expressions I
Order of Operations
Perimeter and Area of Rectangles
Solving Equations on the Number Line

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

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations II

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.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Modeling the Factorization of x2+bx+c
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II

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.

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable

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.

Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

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.

Absolute Value Equations and Inequalities
Modeling One-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Using Algebraic Equations

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.

Compound Inequalities
Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable

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.

Area of Parallelograms
Area of Triangles
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

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.

Balancing Blocks (Volume)
Prisms and Cylinders

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.

Points in the Coordinate Plane

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

Prisms and Cylinders
Pyramids and Cones

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.

KY.6.SP.0.a: Formulate Questions: Formulate a statistical question as one that anticipates variability and can be answered with data.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Movie Reviewer (Mean and Median)
Polling: City
Polling: Neighborhood
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

KY.6.SP.0.b: Collect Data: Design and use a plan to collect appropriate data to answer a statistical question.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Movie Reviewer (Mean and Median)
Polling: Neighborhood
Populations and Samples
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots
Time Estimation

KY.6.SP.0.c: Analyze Data: Select appropriate graphical methods and numerical measures to analyze data by displaying variability within a group, comparing individual to individual and comparing individual to group.

Box-and-Whisker Plots
Graphing Skills
Histograms
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Polling: City
Polling: Neighborhood
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

KY.6.SP.0.d: Interpret Results: Draw logical conclusions and make generalizations from the data based on the original question.

Box-and-Whisker Plots
Mean, Median, and Mode
Polling: City
Polling: Neighborhood
Populations and Samples
Real-Time Histogram

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.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Movie Reviewer (Mean and Median)
Polling: City
Polling: Neighborhood
Populations and Samples
Reaction Time 2 (Graphs and Statistics)

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.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Polling: City
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

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.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

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.

Box-and-Whisker Plots
Histograms
Mean, Median, and Mode
Polling: City
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

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

KY.6.SP.5.a: Reporting the number of observations.

Histograms
Stem-and-Leaf Plots

KY.6.SP.5.b: Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Movie Reviewer (Mean and Median)
Polling: Neighborhood
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

KY.6.SP.5.c: Determining quantitative measures of center (median and/or mean) to describe distribution of numerical data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

KY.6.SP.5.d: Describing distributions of numerical data qualitatively relating to shape (using terms such as cluster, mode(s), gap, symmetric, uniform, skewed-left, skewed-right and the presence of outliers) and quantitatively relating to spread/variability (using terms such as range and interquartile range).

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Polling: City
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

KY.6.SP.5.e: Relating the choice of measures of center and variability to the shape of the data distribution.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Polling: City
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

Correlation last revised: 1/22/2020

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