Standard Course of Study

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

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.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.

Function Machines 2 (Functions, Tables, and Graphs)

Points, Lines, and Equations

Slope

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

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

Percent of Change

Percents and Proportions

Polling: Neighborhood

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

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.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.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)

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

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

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:

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

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

Fraction Garden (Comparing Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Rational Numbers, Opposites, and Absolute Values

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

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

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Points in the Coordinate Plane

Points, Lines, and Equations

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.NS.9: Apply and extend previous understandings of addition and subtraction.

NC.6.NS.9.a: Understand additive inverses when adding and subtracting integers.

NC.6.NS.9.a.1: Describe situations in which opposite quantities combine to make 0.

Adding and Subtracting Integers

Rational Numbers, Opposites, and Absolute Values

Simplifying Algebraic Expressions I

Solving Algebraic Equations I

NC.6.NS.9.a.2: Understand 𝑝 + 𝑞 as the number located a distance 𝑞 from 𝑝, in the positive or negative direction depending on the sign of 𝑞. Show that a number and its additive inverse create a zero pair.

Adding and Subtracting Integers

Adding on the Number Line

Rational Numbers, Opposites, and Absolute Values

NC.6.NS.9.a.3: Understand subtraction of integers as adding the additive inverse, 𝑝 – 𝑞 = 𝑝 + (– 𝑞). Show that the distance between two integers on the number line is the absolute value of their difference.

Adding and Subtracting Integers

Adding on the Number Line

NC.6.NS.9.a.4: Use models to add and subtract integers from -20 to 20 and describe real-world contexts using sums and differences.

Adding and Subtracting Integers

Adding on the Number Line

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

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Using Algebraic Equations

Using Algebraic Expressions

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.

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

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

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:

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

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

Solving Equations on the Number Line

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

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

Linear Inequalities in Two Variables

Solving Linear Inequalities in One Variable

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

Compound Inequalities

Exploring Linear Inequalities in One Variable

Solving Linear Inequalities in One Variable

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

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

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

Fido's Flower Bed (Perimeter and Area)

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

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

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.

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.

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.

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

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

Box-and-Whisker Plots

Histograms

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: 9/6/2017

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