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## AR.CC.EE.7.Expressions and Equations

Expressions and Equations
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
EE.7.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
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 Decimal Operations
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 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 Multiple Representation of Rational 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 Percentage
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Simplify Fractions

EE.7.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
EE.7.4(a) Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
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

EE.7.4(b) Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid \$50 per week plus \$3 per sale. This week you want your pay to be at least \$100. Write an inequality for the number of sales you need to make, and describe the solutions.
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

Use properties of operations to generate equivalent expressions.
EE.7.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

EE.7.2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that ''increase by 5%'' is the same as ''multiply by 1.05.''
Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

## AR.CC.G.7.Geometry

Geometry
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
G.7.4. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Flip Charts Dot to Dot
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Flip Charts Perimeter & Area
Flip Charts Shape Up
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

Draw construct, and describe geometrical figures and describe the relationships between them.
G.7.1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
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

## AR.CC.MP.7.Mathematical Practices

Mathematical Practices
MP.7.1. Make sense of problems and persevere in solving them.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MP.7.2. Reason abstractly and quantitatively.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MP.7.7. Look for and make use of structure.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MP.7.8. Look for and express regularity in repeated reasoning.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

## AR.CC.NS.7.The Number System

The Number System
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
NS.7.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
NS.7.1(a) Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Flip Charts Math Grade 8
Flip Charts The Real Numbers

NS.7.1(b) Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Flip Charts Math Grade 8
Flip Charts The Real Numbers
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 Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

NS.7.1(c) Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions
Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Mixed Numbers
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

NS.7.1(d) Apply properties of operations as strategies to add and subtract rational numbers.
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

NS.7.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
NS.7.2(a) Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
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

NS.7.2(b) Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
Flip Charts Math Grade 6
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

NS.7.2(c) Apply properties of operations as strategies to multiply and divide rational numbers.
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 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

NS.7.2(d) Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Flip Charts All About Percents
Flip Charts Applying Percents
Flip Charts Math Grade 8
Flip Charts Math: Grade 7
Flip Charts The Real Numbers
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

NS.7.3. Solve real-world and mathematical problems involving the four operations with rational numbers.
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

## AR.CC.RP.7.Ratios and Proportional Relationships

Ratios and Proportional Relationships
Analyze proportional relationships and use them to solve real-world and mathematical problems.
RP.7.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.
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

RP.7.2. Recognize and represent proportional relationships between quantities.
RP.7.2(b) Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
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

RP.7.3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
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

## AR.CC.SP.7.Statistics and Probability

Statistics and Probability
Investigate chance processes and develop, use, and evaluate probability models.
SP.7.5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
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

SP.7.6. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

SP.7.7. Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
SP.7.7(a) Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
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

SP.7.7(b) Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?
Flip Charts Math: Grade 7
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

SP.7.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
SP.7.8(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

SP.7.8(b) Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., ''rolling double sixes''), identify the outcomes in the sample space which compose the event.
Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

Use random sampling to draw inferences about a population.
SP.7.1. Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

SP.7.2. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Science