NC.7.PR: Ratio and Proportional Relationships

(Framing Text): Analyze proportional relationships and use them to solve real-world and mathematical problems.

NC.7.RP.1: Compute unit rates associated with ratios of fractions to solve real-world and mathematical problems.

 Beam to Moon (Ratios and Proportions)

NC.7.RP.2: Recognize and represent proportional relationships between quantities.

NC.7.RP.2.a: Understand that a proportion is a relationship of equality between ratios.

NC.7.RP.2.a.1: Represent proportional relationships using tables and graphs.

 Direct and Inverse Variation
 Proportions and Common Multipliers

NC.7.RP.2.a.2: Recognize whether ratios are in a proportional relationship using tables and graphs.

 Proportions and Common Multipliers

NC.7.RP.2.b: Identify the unit rate (constant of proportionality) within two quantities in a proportional relationship using tables, graphs, equations, and verbal descriptions.

 Beam to Moon (Ratios and Proportions)
 Dilations
 Direct and Inverse Variation

NC.7.RP.2.c: Create equations and graphs to represent proportional relationships.

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers

NC.7.RP.2.d: Use a graphical representation of a proportional relationship in context to:

NC.7.RP.2.d.1: Explain the meaning of any point (x, y).

 Direct and Inverse Variation

NC.7.RP.2.d.2: Explain the meaning of (0, 0) and why it is included.

 Direct and Inverse Variation

NC.7.RP.2.d.3: Understand that the y-coordinate of the ordered pair (1, r) corresponds to the unit rate and explain its meaning.

 Direct and Inverse Variation

NC.7.RP.3: Use scale factors and unit rates in proportional relationships to solve ratio and percent problems.

 Beam to Moon (Ratios and Proportions)

NC.7.NS: The Number System

(Framing Text): Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

NC.7.NS.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, using the properties of operations, and describing real-world contexts using sums and differences.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Sums and Differences with Decimals

NC.7.NS.2: Apply and extend previous understandings of multiplication and division.

NC.7.NS.2.a: Understand that a rational number is any number that can be written as a quotient of integers with a non-zero divisor.

 Rational Numbers, Opposites, and Absolute Values

NC.7.NS.2.b: Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the product and quotient in real-world contexts.

 Adding and Subtracting Integers
 Dividing Fractions
 Dividing Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals

NC.7.NS.3: Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four operations.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Population Size
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

NC.7.EE: Expressions and Equations

(Framing Text): Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.

NC.7.EE.3: Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions.

NC.7.EE.3.a: Apply properties of operations to calculate with positive and negative numbers in any form.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

NC.7.EE.3.b: Convert between different forms of a number and equivalent forms of the expression as appropriate.

 Exponents and Power Rules
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

NC.7.EE.4: Use variables to represent quantities to solve real-world or mathematical problems.

NC.7.EE.4.a: Construct equations to solve problems by reasoning about the quantities.

NC.7.EE.4.a.1: Fluently solve multistep equations with the variable on one side, including those generated by word problems.

 Modeling and Solving Two-Step Equations
 Solving Equations by Graphing Each Side

NC.7.EE.4.a.2: Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

 Solving Algebraic Equations II
 Solving Equations on the Number Line

NC.7.EE.4.a.3: Interpret the solution in context.

 Estimating Population Size

NC.7.EE.4.b: Construct inequalities to solve problems by reasoning about the quantities.

NC.7.EE.4.b.1: Fluently solve multi-step inequalities with the variable on one side, including those generated by word problems.

 Compound Inequalities
 Linear Inequalities in Two Variables

NC.7.G: Geometry

(Framing Text): Draw, construct, and describe geometrical figures and describe the relationships between them.

NC.7.G.1: Solve problems involving scale drawings of geometric figures by:

NC.7.G.1.a: Building an understanding that angle measures remain the same and side lengths are proportional.

 Dilations
 Similar Figures
 Similarity in Right Triangles

NC.7.G.1.b: Using a scale factor to compute actual lengths and areas from a scale drawing.

 Similar Figures

NC.7.G.1.c: Creating a scale drawing.

 Dilations

NC.7.G.2: Understand the characteristics of angles and side lengths that create a unique triangle, more than one triangle or no triangle. Build triangles from three measures of angles and/or sides.

 Concurrent Lines, Medians, and Altitudes
 Isosceles and Equilateral Triangles
 Triangle Angle Sum
 Triangle Inequalities

(Framing Text): Solve real-world and mathematical problems involving angle measure, area, surface area, and volume.

NC.7.G.4: Understand area and circumference of a circle.

NC.7.G.4.a: Understand the relationships between the radius, diameter, circumference, and area.

 Circumference and Area of Circles

NC.7.G.4.b: Apply the formulas for area and circumference of a circle to solve problems.

 Circumference and Area of Circles

NC.7.G.5: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.

 Investigating Angle Theorems
 Triangle Angle Sum

NC.7.G.6: Solve real-world and mathematical problems involving:

NC.7.G.6.a: Area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

NC.7.G.6.b: Volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.

 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

NC.7.SP: Statistics and Probability

(Framing Text): Use random sampling to draw inferences about a population.

NC.7.SP.1: Understand that statistics can be used to gain information about a population by:

NC.7.SP.1.a: Recognizing that generalizations about a population from a sample are valid only if the sample is representative of that population.

 Polling: City
 Polling: Neighborhood

NC.7.SP.1.b: Using random sampling to produce representative samples to support valid inferences.

 Polling: City
 Polling: Neighborhood

NC.7.SP.2: Generate multiple random samples (or simulated samples) of the same size to gauge the variation in estimates or predictions, and use this data to draw inferences about a population with an unknown characteristic of interest.

 Polling: City
 Polling: Neighborhood
 Populations and Samples

(Framing Text): Make informal inferences to compare two populations.

NC.7.SP.3: Recognize the role of variability when comparing two populations.

NC.7.SP.3.a: Calculate the measure of variability of a data set and understand that it describes how the values of the data set vary with a single number.

NC.7.SP.3.a.2: Understand that the range describes the spread of the entire 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.7.SP.3.a.3: Understand that the interquartile range describes the spread of the middle 50% of the data.

 Box-and-Whisker Plots

NC.7.SP.3.b: Informally assess the difference between two data sets by examining the overlap and separation between the graphical representations of two data sets.

 Box-and-Whisker Plots
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram

NC.7.SP.4: Use measures of center and measures of variability for numerical data from random samples to draw comparative inferences about two populations.

 Box-and-Whisker Plots
 Polling: City
 Populations and Samples

(Framing Text): Investigate chance processes and develop, use, and evaluate probability models.

NC.7.SP.5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.

 Geometric Probability
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

NC.7.SP.7: Develop a probability model and use it to find probabilities of simple events.

NC.7.SP.7.a: Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

 Independent and Dependent Events
 Probability Simulations

NC.7.SP.7.b: Develop a probability model (which may not be uniform) by repeatedly performing a chance process and observing frequencies in the data generated.

 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

NC.7.SP.7.c: Compare theoretical and experimental probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

 Probability Simulations

NC.7.SP.8: Determine probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

NC.7.SP.8.a: Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

 Independent and Dependent Events

NC.7.SP.8.b: For an event described in everyday language, identify the outcomes in the sample space which compose the event, when the sample space is represented using organized lists, tables, and tree diagrams.

 Permutations and Combinations

NC.7.SP.8.c: Design and use a simulation to generate frequencies for compound events.

 Independent and Dependent Events

Correlation last revised: 4/4/2018

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