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## NC.7.EE.Expressions and Equations

Expressions and Equations
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.
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

NC.7.EE.3.b. Convert between different forms of a number and equivalent forms of the expression as appropriate.
Flip Charts All About Percents
Flip Charts Applying Percents
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions

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.
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Flip Charts Solving Equations
Flip Charts Solving Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NC.7.EE.4.a.2. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Flip Charts Algebra Skills
Flip Charts Inequalities
Flip Charts Inequalities
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Flip Charts Slope
Flip Charts Solving Equations
Flip Charts Solving Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory
Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NC.7.EE.4.a.3. Interpret the solution in context.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

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.
Flip Charts Inequalities
Flip Charts Inequalities
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

NC.7.EE.4.b.2. Compare an algebraic solution process for equations and an algebraic solution process for inequalities.
Flip Charts Inequalities
Flip Charts Inequalities
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Flip Charts Solving Equations
Flip Charts Solving Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NC.7.EE.4.b.3. Graph the solution set of the inequality and interpret in context.
Flip Charts Inequalities
Flip Charts Inequalities
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

## NC.7.G.Geometry

Geometry
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.
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

NC.7.G.1.b. Using a scale factor to compute actual lengths and areas from a scale drawing.
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Geometric Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

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.
Flip Charts Finding Volume
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

NC.7.G.4.b. Apply the formulas for area and circumference of a circle to solve problems.
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles
Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle
Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area
Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference
Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

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.
Flip Charts Math Grade 8
Flip Charts Plane Geometry

## NC.7.NS.The Number System

The Number System
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.
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

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.
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

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.
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NC.7.NS.2.c. Use division and previous understandings of fractions and decimals.
NC.7.NS.2.c.1. Convert a fraction to a decimal using long division.
Flip Charts All About Percents
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiple Representation of Rational Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

NC.7.NS.2.c.2. Understand that the decimal form of a rational number terminates in 0s or eventually repeats.
Flip Charts Math Grade 8
Flip Charts The Real Numbers

NC.7.NS.3. Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four operations.
Flip Charts All About Percents
Flip Charts Applying Percents
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Decimal Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base
Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

## NC.7.RP.Ratio and Proportional Relationships

Ratio and Proportional Relationships
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.
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

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.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

NC.7.RP.2.a.2. Recognize whether ratios are in a proportional relationship using tables and graphs.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

NC.7.RP.2.a.3. Compare two different proportional relationships using tables, graphs, equations, and verbal descriptions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

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.
Flip Charts Math: Grade 7
Flip Charts Slope
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

NC.7.RP.2.c. Create equations and graphs to represent proportional relationships.
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

NC.7.RP.3. Use scale factors and unit rates in proportional relationships to solve ratio and percent problems.
Flip Charts Applying Percents
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Percent
Quiz, Flash Cards, Worksheet, Game & Study Guide Percent, Rate, Base

## NC.7.SP.Statistics and Probability

Statistics and Probability
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.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

NC.7.SP.1.b. Using random sampling to produce representative samples to support valid inferences.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

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.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

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.
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

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.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

NC.7.SP.6. Collect data to calculate the experimental probability of a chance event, observing its long-run relative frequency. Use this experimental probability to predict the approximate relative frequency.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to 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.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

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.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to 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.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

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.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

## NC.MP.Standards for Mathematical Practice

Standards for Mathematical Practice
MP.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MP.2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

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