Worksheets: 3Study 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### UT.7.MP. MATHEMATICAL PRACTICES (7.MP)

#### 7.MP.1. Make sense of problems and persevere in solving them. Explain the meaning of a problem and look for entry points to its solution. Analyze givens, constraints, relationships, and goals. Make conjectures about the form and meaning of the solution, plan a solution pathway, and continually monitor progress asking, “Does this make sense?” Consider analogous problems, make connections between multiple representations, identify the correspondence between different approaches, look for trends, and transform algebraic expressions to highlight meaningful mathematics. Check answers to problems using a different method.

Worksheets :3Study Guides :1 #### 7.MP.2. Reason abstractly and quantitatively. Make sense of the quantities and their relationships in problem situations. Translate between context and algebraic representations by contextualizing and decontextualizing quantitative relationships. This includes the ability to decontextualize a given situation, representing it algebraically and manipulating symbols fluently as well as the ability to contextualize algebraic representations to make sense of the problem.

Worksheets :3Study Guides :1 ### UT.7.RP. RATIOS AND PROPORTIONAL RELATIONSHIPS (7.RP)

#### Analyze proportional relationships and use them to solve real-world and mathematical problems (Standards 7.RP.1–3).

##### 7.RP.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 ½ mile in each ¼ hour, compute the unit rate as the complex fraction ½/¼ miles per hour, equivalently 2 miles per hour.

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

###### 7.RP.2.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Worksheets :5Study Guides :1Worksheets :3Study Guides :1 ##### 7.RP.3. Use proportional relationships to solve multi-step ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

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 ### UT.7.NS. THE NUMBER SYSTEM (7.NS)

#### Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers (Standards 7.NS.1–3).

##### 7.NS.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.

###### 7.NS.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.

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 ###### 7.NS.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.

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 ###### 7.NS.1.d. Apply properties of operations as strategies to add and subtract rational numbers.

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 :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ##### 7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

###### 7.NS.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.

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 ###### 7.NS.2.b. Understand that integers can be divided, provided the divisor is not zero, and that 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.

Worksheets :4Study Guides :1Worksheets :4Study Guides :1 ###### 7.NS.2.c. Apply properties of operations as strategies to multiply and divide rational 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 :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ###### 7.NS.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.

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 ##### 7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions.

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 :1Adding 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 :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 :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1 ### UT.7.EE. EXPRESSIONS AND EQUATIONS (7.EE)

#### Use properties of operations to generate equivalent expressions (Standards 7.EE.1–2). Solve real-life and mathematical problems using numerical and algebraic expressions and equations (Standards 7.EE.3–4).

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

Worksheets :4Study Guides :1 ##### 7.EE.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.”

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 ##### 7.EE.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.

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 ##### 7.EE.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.

###### 7.EE.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?

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 ###### 7.EE.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.

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 ### UT.7.G. GEOMETRY (7.G)

#### Draw, construct, and describe geometrical figures, and describe the relationships between them (Standards 7.G.1–3). Solve real-life and mathematical problems involving angle measure, area, surface area, and volume (Standards 7.G.4–6).

##### 7.G.1. Solve problems involving scale drawings of geometric figures, such as 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 ##### 7.G.4. Know the formulas for the area and circumference of a circle, and 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 ##### 7.G.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write, and use them to 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 ### UT.7.SP. STATISTICS AND PROBABILITY (7.SP)

#### Use random sampling to draw inferences about a population (Standards 7.SP.1–2). Draw informal comparative inferences about two populations (Standards 7.SP.3–4). Investigate chance processes and develop, use, and evaluate probability models (Standards 7.SP.5–8).

##### 7.SP.1. Understand that statistics can be used to gain information about a population by examining a sample of the population, and that generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling is more likely 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 ##### 7.SP.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.

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 ##### 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. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ 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 ##### 7.SP.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.

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 ##### 7.SP.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.

###### 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. 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.

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 ###### 7.SP.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?

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 ##### 7.SP.8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

###### 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.

Worksheets :3Study Guides :1 ###### 7.SP.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.

Worksheets :3Study Guides :1 ### NewPath Learning resources are fully aligned to US Education Standards. Select a standard below to view correlations to your selected resource: