Worksheets: 3Study Guides: 1Worksheets: 5Study Guides: 1Worksheets: 4Study Guides: 1Worksheets: 3Study Guides: 1Worksheets: 3Study Guides: 1Plane figures in regards to lines and angles refer to the coordinate plane and the various lines and angles within the coordinate plane. Lines in a coordinate plane can be parallel or perpendicular. Read more...iWorksheets: 3Study Guides: 1Pythagorean Theorem is a fundamental relation in Euclidean geometry. Use the Pythagorean Theorem and its converse to solve problems. Determine the distance between two points using the Pythagorean Theorem. Read more...iWorksheets: 4Study Guides: 1### AR.Math.Content.7.RP. Ratios and Proportional Relationships

#### AR.Math.Content.7.RP.A. Analyze proportional relationships and use them to solve real-world and mathematical problems.

##### AR.Math.Content.7.RP.A.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.

Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ##### AR.Math.Content.7.RP.A.2. Recognize and represent proportional relationships between quantities.

###### AR.Math.Content.7.RP.A.2.B. Identify unit rate (also known as the constant of proportionality) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ##### AR.Math.Content.7.RP.A.3. Use proportional relationships to solve multi-step ratio and percent problems. Note: Examples include but are not limited to simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease.

A percent is a way of comparing a number with 100. Percents are usually written with a percent sign. To solve a percent problem, multiply the value by the percent using
one of the representations for the percent. Read more...iWorksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1 ### AR.Math.Content.7.NS. The Number System

#### AR.Math.Content.7.NS.A. Apply and extend previous understandings of operations with fractions.

##### AR.Math.Content.7.NS.A.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.

###### AR.Math.Content.7.NS.A.1.B. Understand p + q as a number where p is the starting point and q represents a distance from p in the positive or negative direction depending on whether q is positive or negative.

Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.NS.A.1.C. Interpret sums of rational numbers by describing real-world contexts (e.g., 3 + 2 means beginning at 3, move 2 units to the right and end at the sum of 5. 3 + (-2) means beginning at 3, move 2 units to the left and end at the sum of 1. 70 + (-30) = 40 could mean after earning $70, $30 was spent on a new video game, leaving a balance of $40.).

Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.NS.A.1.D. Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q).

Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.NS.A.1.E. 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. (e.g., The distance between -5 and 6 is 11. -5 and 6 are 11 units apart on the number line.)

Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ##### AR.Math.Content.7.NS.A.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

###### AR.Math.Content.7.NS.A.2.A. Understand that multiplication is extended from fractions to all rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, and the rules for multiplying signed numbers.

A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1To multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1Multiplying fractions is the operation of multiplying two or more
fractions together to find a product. Read more...iWorksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.NS.A.2.B. Interpret products of rational numbers by describing real-world contexts.

A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1To multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1Multiplying fractions is the operation of multiplying two or more
fractions together to find a product. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.NS.A.2.C. 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 (e.g., If p and q are integers, then -(p/q) = (-p)/q = p/(-q). ).

Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ###### AR.Math.Content.7.NS.A.2.D. Interpret quotients of rational numbers by describing real-world contexts.

A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1To multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.NS.A.2.E. Fluently multiply and divide rational numbers by applying properties of operations as strategies.

Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1To multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1Multiplying fractions is the operation of multiplying two or more
fractions together to find a product. Read more...iWorksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.NS.A.2.F. Convert a fraction to a decimal using long division.

The term percent refers to a fraction in which the denominator is 100.
It is a way to compare a number with 100. Read more...iWorksheets :6Study Guides :1What are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets :3Study Guides :1A rational number is a number that can be made into a fraction. Decimals that repeat or terminate are rational because they can be changed into fractions. An irrational number is a number that cannot be made into a fraction. Decimals that do not repeat or end are irrational numbers. Pi is an irrational number. Read more...iWorksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ### AR.Math.Content.7.EE. Expressions and Equations

#### AR.Math.Content.7.EE.A. Use properties of operations to generate equivalent expressions.

##### AR.Math.Content.7.EE.A.1. Apply properties of operations as strategies to add, subtract, expand, and factor linear expressions with rational coefficients.

Worksheets :4Study Guides :1 ##### AR.Math.Content.7.EE.A.2. Understand how the quantities in a problem are related by rewriting an expression in different forms. For example: a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05". or the perimeter of a square with side length s can be written as s+s+s+s or 4s.

What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :4Study Guides :1 #### AR.Math.Content.7.EE.B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

##### AR.Math.Content.7.EE.B.3. Solve multi-step, real-life, and mathematical problems posed with positive and negative rational numbers in any form using tools strategically. Apply properties of operations to calculate with numbers in any form (e.g., -(1/4)(n-4)). Convert between forms as appropriate (e.g., 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.). Assess the reasonableness of answers using mental computation and estimation strategies (e.g., 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.).

Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1To multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1Simplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets :3Study Guides :1Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1Multiplying fractions is the operation of multiplying two or more
fractions together to find a product. Read more...iWorksheets :3Study Guides :1The term percent refers to a fraction in which the denominator is 100.
It is a way to compare a number with 100. Read more...iWorksheets :6Study Guides :1What are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1 ##### AR.Math.Content.7.EE.B.4. Use variables to represent quantities in a real-world or mathematical problem. Construct simple equations and inequalities to solve problems by reasoning about the quantities.

###### AR.Math.Content.7.EE.B.4.A. Solve word problems leading to equations of these forms px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently.

An algebraic equation is an expression in which a letter represents an
unknown number Read more...iWorksheets :3Study Guides :1FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :6Study Guides :1Worksheets :3Study Guides :1Worksheets :5Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :5Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.EE.B.4.C. 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.

Worksheets :5Study Guides :1FreeAlgebraic inequalities are mathematical equations that compare two quantities using these criteria: greater than, less than, less than or equal to, greater than or equal to. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.EE.B.4.D. Graph the solution set of the inequality and interpret it in the context of the problem (e.g., 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.).

Worksheets :5Study Guides :1FreeAlgebraic inequalities are mathematical equations that compare two quantities using these criteria: greater than, less than, less than or equal to, greater than or equal to. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1 ### AR.Math.Content.7.G. Geometry

#### AR.Math.Content.7.G.A. Draw construct, and describe geometrical figures and describe the relationships between them.

##### AR.Math.Content.7.G.A.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.

Worksheets :4Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 #### AR.Math.Content.7.G.B. Solve real-life and mathematical problems involving angle measure, area, surface area and volume.

##### AR.Math.Content.7.G.B.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.

The diameter of a circle is a line segment that passes through the center of a circle connecting one side of the circle to the other. Read more...iWorksheets :3Study Guides :1An area is the amount of surface a shape covers.

An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets :3Study Guides :1FreeThe circumference of a circle is the distance around the outside. The area of a circle is the space contained within the circumference. It is measured in square units. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ##### AR.Math.Content.7.G.B.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Volume measures the amount a solid figure can hold. Volume is measured in terms of cubed units and can be measured in inches, feet, meters, centimeters, and millimeters. Read more...iWorksheets :4Study Guides :1 ### AR.Math.Content.7.SP. Statistics and Probability

#### AR.Math.Content.7.SP.A. Use random sampling to draw inferences about a population.

##### AR.Math.Content.7.SP.A.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. Random sampling tends to produce representative samples and support valid inferences.

Worksheets :3Study Guides :1FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets :3Study Guides :1 ##### AR.Math.Content.7.SP.A.2. Use data from a random sample to draw inferences about a population with a specific characteristic. 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, or predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

Worksheets :3Study Guides :1FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets :3Study Guides :1 #### AR.Math.Content.7.SP.C. Investigate chance processes and develop, use, and evaluate probability models.

##### AR.Math.Content.7.SP.C.5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. 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.

Probability is the possibility that a certain event will occur. Probability word problems worksheets Read more...iWorksheets :3Study Guides :1Probability is the possibility that a certain event will occur. An event that is certain to occur has a probability of 1. An event that cannot occur has a probability of 0. Therefore, the probability of an event occurring is always between 0 and 1.Probability word problems worksheets. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1 ##### AR.Math.Content.7.SP.C.6. Collect data to approximate the probability of a chance event. Observe its long-run relative frequency. 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.

Probability is the possibility that a certain event will occur. An event that is certain to occur has a probability of 1. An event that cannot occur has a probability of 0. Therefore, the probability of an event occurring is always between 0 and 1.Probability word problems worksheets. Read more...iWorksheets :4Study Guides :1FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1 ##### AR.Math.Content.7.SP.C.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.

###### AR.Math.Content.7.SP.C.7.A. Develop a uniform probability model, assigning equal probability to all outcomes, and use the model to determine probabilities of events (e.g., If a student is selected at random from a class of 6 girls and 4 boys, the probability that Jane will be selected is .10 and the probability that a girl will be selected is .60.).

Probability is the possibility that a certain event will occur. An event that is certain to occur has a probability of 1. An event that cannot occur has a probability of 0. Therefore, the probability of an event occurring is always between 0 and 1.Probability word problems worksheets. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1 ###### AR.Math.Content.7.SP.C.7.B. Develop a probability model, which may not be uniform, by observing frequencies in data generated from a chance process (e.g., 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?).

Probability is the possibility that a certain event will occur. An event that is certain to occur has a probability of 1. An event that cannot occur has a probability of 0. Therefore, the probability of an event occurring is always between 0 and 1.Probability word problems worksheets. Read more...iWorksheets :4Study Guides :1FreeExperimental probability is the probability that a certain outcome will occur based on an experiment being performed multiple times. Probability word problems worksheets. Read more...iWorksheets :3Study Guides :1 ##### AR.Math.Content.7.SP.C.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

###### AR.Math.Content.7.SP.C.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.

Worksheets :3Study Guides :1 ###### AR.Math.Content.7.SP.C.8.B. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams.

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