Standard Course of Study

NC.6.RP.1: Understand the concept of a ratio and use ratio language to:

Beam to Moon (Ratios and Proportions)

Part-to-part and Part-to-whole Ratios

Proportions and Common Multipliers

Road Trip (Problem Solving)

NC.6.RP.1.a: Describe a ratio as a multiplicative 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)

NC.6.RP.1.b: Model a ratio relationship using a variety of representations.

Beam to Moon (Ratios and Proportions)

Part-to-part and Part-to-whole Ratios

Proportions and Common Multipliers

NC.6.RP.2: Understand that ratios can be expressed as equivalent unit ratios by finding and interpreting both unit ratios in context.

Beam to Moon (Ratios and Proportions)

Household Energy Usage

Road Trip (Problem Solving)

NC.6.RP.3: Use ratio reasoning with equivalent whole-number ratios to solve real-world and mathematical problems by:

NC.6.RP.3.a: Creating and using a table to compare ratios.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Points in the Coordinate Plane

Slope

NC.6.RP.3.b: Finding missing values in the tables.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Points in the Coordinate Plane

Slope

NC.6.RP.3.c: Using a unit ratio.

Household Energy Usage

Road Trip (Problem Solving)

NC.6.RP.3.d: Converting and manipulating measurements using given ratios.

NC.6.RP.3.e: Plotting the pairs of values on the coordinate plane.

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

NC.6.RP.4: Use ratio reasoning to solve real-world and mathematical problems with percents by:

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Polling: Neighborhood

Real-Time Histogram

Time Estimation

NC.6.RP.4.a: Understanding and finding a percent of a quantity as a ratio per 100.

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Polling: Neighborhood

Real-Time Histogram

Time Estimation

NC.6.RP.4.b: Using equivalent ratios, such as benchmark percents (50%, 25%, 10%, 5%, 1%), to determine a part of any given quantity.

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Polling: Neighborhood

Real-Time Histogram

Time Estimation

NC.6.RP.4.c: Finding the whole, given a part and the percent.

Percents and Proportions

Percents, Fractions, and Decimals

Polling: Neighborhood

Real-Time Histogram

Time Estimation

NC.6.NS.1: Use visual models and common denominators to:

Dividing Fractions

Dividing Mixed Numbers

NC.6.NS.1.a: Interpret and compute quotients of fractions.

Dividing Fractions

Dividing Mixed Numbers

NC.6.NS.1.b: Solve real-world and mathematical problems involving division of fractions.

Dividing Fractions

Dividing Mixed Numbers

NC.6.NS.2: Fluently divide using long division with a minimum of a four-digit dividend and interpret the quotient and remainder in context.

No Alien Left Behind (Division with Remainders)

NC.6.NS.3: Apply and extend previous understandings of decimals to develop and fluently use the standard algorithms for addition, subtraction, multiplication and division of decimals.

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

NC.6.NS.4: Understand and use prime factorization and the relationships between factors to:

NC.6.NS.4.a: Find the unique prime factorization for a whole number.

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

NC.6.NS.4.b: Find the greatest common factor of two whole numbers less than or equal to 100.

NC.6.NS.4.c: Use the greatest common factor and the distributive property to rewrite the sum of two whole numbers, each less than or equal to 100.

NC.6.NS.4.d: Find the least common multiple of two whole numbers less than or equal to 12 to add and subtract fractions with unlike denominators.

Adding Fractions (Fraction Tiles)

Pattern Flip (Patterns)

NC.6.NS.5: Understand and use rational numbers to:

NC.6.NS.5.a: Describe quantities having opposite directions or values.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Integers, Opposites, and Absolute Values

NC.6.NS.5.b: 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

NC.6.NS.5.c: Understand the absolute value of a rational number as its distance from 0 on the number line to:

Absolute Value with Linear Functions

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

NC.6.NS.5.c.1: Interpret absolute value as magnitude for a positive or negative quantity in a real-world context.

Absolute Value with Linear Functions

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

NC.6.NS.5.c.2: Distinguish comparisons of absolute value from statements about order.

Integers, Opposites, and Absolute Values

NC.6.NS.6: Understand rational numbers as points on the number line and as ordered pairs on a coordinate plane.

NC.6.NS.6.a: On a number line:

Adding and Subtracting Integers

Adding on the Number Line

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Solving Algebraic Equations I

NC.6.NS.6.a.1: Recognize opposite signs of numbers as indicating locations on opposite sides of 0 and that the opposite of the opposite of a number is the number itself.

Adding and Subtracting Integers

Adding on the Number Line

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Solving Algebraic Equations I

NC.6.NS.6.a.2: Find and position rational numbers on a horizontal or vertical number line.

Adding and Subtracting Integers

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

NC.6.NS.6.b: On a coordinate plane:

Points in the Coordinate Plane

NC.6.NS.6.b.1: Understand signs of numbers in ordered pairs as indicating locations in quadrants.

Points in the Coordinate Plane

NC.6.NS.6.b.2: Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

Points in the Coordinate Plane

NC.6.NS.6.b.3: Find and position pairs of rational numbers on a coordinate plane.

Adding and Subtracting Integers

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

NC.6.NS.7: Understand ordering of rational numbers.

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

Integers, Opposites, and Absolute Values

NC.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.

Points in the Coordinate Plane

NC.6.EE.1: Write and evaluate numerical expressions, with and without grouping symbols, involving whole-number exponents.

NC.6.EE.2: Write, read, and evaluate algebraic expressions.

NC.6.EE.2.a: Write expressions that record operations with numbers and with letters standing for numbers.

Using Algebraic Equations

Using Algebraic Expressions

NC.6.EE.2.b: Identify parts of an expression using mathematical terms and view one or more of those parts as a single entity.

Compound Interest

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Using Algebraic Equations

Using Algebraic Expressions

NC.6.EE.2.c: Evaluate expressions at specific values of their variables using expressions that arise from formulas used in real-world problems.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

Solving Equations on the Number Line

NC.6.EE.3: Apply the properties of operations to generate equivalent expressions without exponents.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

NC.6.EE.4: Identify when two expressions are equivalent and justify with mathematical reasoning.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Modeling the Factorization of *x*^{2}+*bx*+*c*

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

NC.6.EE.5: Use substitution to determine whether a given number in a specified set makes an equation 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

NC.6.EE.6: Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.

Equivalent Algebraic Expressions I

Solving Algebraic Equations II

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

NC.6.EE.7: Solve real-world and mathematical problems by writing and solving equations of the form:

Absolute Value Equations and Inequalities

Modeling One-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations on the Number Line

NC.6.EE.7.a: 𝑥 + 𝑝 = 𝑞 in which p, q and x are all nonnegative rational numbers; and,

Absolute Value Equations and Inequalities

Modeling One-Step Equations

Solving Algebraic Equations I

Solving Algebraic Equations II

Solving Equations on the Number Line

NC.6.EE.7.b: 𝑝 ∙ 𝑥 = 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 I

Solving Algebraic Equations II

Solving Equations on the Number Line

NC.6.EE.8: Reason about inequalities by:

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

NC.6.EE.8.b: Writing an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

NC.6.EE.8.c: Recognizing that inequalities of the form x > c or x < c have infinitely many solutions.

Absolute Value Equations and Inequalities

Comparing and Ordering Decimals

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

NC.6.EE.8.d: Representing solutions of inequalities on number line diagrams.

Comparing and Ordering Decimals

Compound Inequalities

Exploring Linear Inequalities in One Variable

Linear Inequalities in Two Variables

Rational Numbers, Opposites, and Absolute Values

Solving Linear Inequalities in One Variable

NC.6.G.1: Create geometric models to solve real-world and mathematical problems to:

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

NC.6.G.1.a: Find the area of triangles by composing into rectangles and decomposing into right triangles.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

NC.6.G.1.b: Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

NC.6.G.2: Apply and extend previous understandings of the volume of a right rectangular prism to find the volume of right rectangular prisms with fractional edge lengths. Apply this understanding to the context of solving real-world and mathematical problems.

NC.6.G.3: Use the coordinate plane to solve real-world and mathematical problems by:

Points in the Coordinate Plane

NC.6.G.3.a: Drawing polygons in the coordinate plane given coordinates for the vertices.

Points in the Coordinate Plane

NC.6.G.3.b: Using coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

Points in the Coordinate Plane

NC.6.G.4: Represent right prisms and right pyramids using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Surface and Lateral Areas of Prisms and Cylinders

Surface and Lateral Areas of Pyramids and Cones

NC.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.

Polling: City

Polling: Neighborhood

Reaction Time 2 (Graphs and Statistics)

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

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

NC.6.SP.3: Understand that both a measure of center and a description of variability should be considered when describing a numerical data set.

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

NC.6.SP.3.a: Determine the measure of center of a data set and understand that it is a single number that summarizes all the values of that data set.

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

NC.6.SP.3.a.1: Understand that a mean is a measure of center that represents a balance point or fair share of a data set and can be influenced by the presence of extreme values within the data set.

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 2 (Graphs and Statistics)

Sight vs. Sound Reactions

Stem-and-Leaf Plots

NC.6.SP.3.a.2: Understand the median as a measure of center that is the numerical middle of an ordered data set.

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)

Stem-and-Leaf Plots

NC.6.SP.3.b: Understand that describing the variability of a data set is needed to distinguish between data sets in the same scale, by comparing graphical representations of different data sets in the same scale that have similar measures of center, but different spreads.

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

NC.6.SP.4: Display numerical data in plots on a number line.

Box-and-Whisker Plots

Histograms

Mascot Election (Pictographs and Bar Graphs)

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

NC.6.SP.4.a: Use dot plots, histograms, and box plots to represent data.

Box-and-Whisker Plots

Histograms

Mascot Election (Pictographs and Bar Graphs)

Mean, Median, and Mode

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

NC.6.SP.4.b: Compare the attributes of different representations of the same data.

Mascot Election (Pictographs and Bar Graphs)

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

NC.6.SP.5: Summarize numerical data sets in relation to their context.

NC.6.SP.5.a: Describe the collected data by:

NC.6.SP.5.a.1: Reporting the number of observations in dot plots and histograms.

Reaction Time 1 (Graphs and Statistics)

NC.6.SP.5.a.2: Communicating the nature of the attribute under investigation, how it was measured, and the units of measurement.

Box-and-Whisker Plots

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

NC.6.SP.5.b: Analyze center and variability by:

NC.6.SP.5.b.1: Giving quantitative measures of center, describing variability, and any overall pattern, and noting any striking deviations.

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

Sight vs. Sound Reactions

Stem-and-Leaf Plots

NC.6.SP.5.b.2: Justifying the appropriate choice of measures of center using the shape of the data distribution.

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)

Correlation last revised: 9/16/2020

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