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.
Percent of Change
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 x2+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.
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.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