Indiana Academic Standards for Seventh Grade Math

Analyzing, Graphing and Displaying Data
Worksheets: 3Study Guides: 1
Plane Figures: Closed Figure Relationships
Worksheets: 3Study Guides: 1
Plane Figures: Lines and Angles
Plane 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: 1
Using Probability
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IN.K.PS. PROCESS STANDARDS FOR MATHEMATICS

PS.1. Make sense of problems and persevere in solving them.

Mathematical processes
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PS.2. Reason abstractly and quantitatively.

Mathematical processes
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IN.7.NS. NUMBER SENSE

7.NS.1. Find the prime factorization of whole numbers and write the results using exponents.

Number Patterns
A number pattern is a group of numbers that are related to one another in some sort of pattern. Finding a pattern is a simpler way to solve a problem. Read more...iWorksheets :3Study Guides :1
Exponents, Factors and Fractions
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7.NS.2. Understand the inverse relationship between squaring and finding the square root of a perfect square integer. Find square roots of perfect square integers.

Rational and Irrational Numbers
A 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. Read more...iWorksheets :3Study Guides :1
The Pythagorean Theorem
Pythagorean 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
Real numbers
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7.NS.3. Know there are rational and irrational numbers. Identify, compare, and order rational and common irrational numbers (√2, √3, √5, Π) and plot them on a number line.

Fractions/Decimals
Any fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1
Ordering Fractions
The order of rational numbers depends on their relationship to each other and to zero. Rational numbers can be dispersed along a number line in both directions from zero. Read more...iWorksheets :6Study Guides :1
Rational and Irrational Numbers
A 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. Read more...iWorksheets :3Study Guides :1
Exponents, Factors and Fractions
Worksheets :4Study Guides :1

IN.7.C. COMPUTATION

7.C.1. 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.

Add/Subtract Fractions
Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Mixed Numbers
A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1
Adding Fractions
Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1
Fraction Operations
Worksheets :3Study Guides :1
Rational numbers and operations
Worksheets :3Study Guides :1

7.C.2. 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.

Add/Subtract Fractions
Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Mixed Numbers
A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1
Fraction Operations
Worksheets :3Study Guides :1
Rational numbers and operations
Worksheets :3Study Guides :1

7.C.3. 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.

Mixed Numbers
A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1
Multiply/Divide Fractions
To 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 :1
Multiply Fractions
Multiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
Using Integers
Worksheets :4Study Guides :1
Fraction Operations
Worksheets :3Study Guides :1
Integer operations
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Rational numbers and operations
Worksheets :3Study Guides :1

7.C.4. Understand that integers can be divided, provided that the divisor is not zero, and that every quotient of integers (with non-zero divisor) is a rational number. Understand that if p and q are integers, then –(p/q) = (–p)/q = p/(–q).

Using Integers
Worksheets :4Study Guides :1
Integer operations
Worksheets :4Study Guides :1

7.C.5. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Numerical Proportions
Worksheets :4Study Guides :1
Ratios, proportions and percents
Worksheets :4Study Guides :1

7.C.6. Use proportional relationships to solve ratio and percent problems with multiple operations, such as the following: simple interest, tax, markups, markdowns, gratuities, commissions, fees, conversions within and across measurement systems, percent increase and decrease, and percent error.

Percent, Rate, Base
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 :1
Measurement
FreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1
Introduction to Percent
Worksheets :4Study Guides :1
Applying Percents
Worksheets :3Study Guides :1
Applications of percent
Worksheets :4Study Guides :1

7.C.7. Compute with rational numbers fluently using a standard algorithmic approach.

Add/Subtract Fractions
Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Mixed Numbers
A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1
Multiply/Divide Fractions
To 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 :1
Adding Fractions
Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1
Multiply Fractions
Multiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
Decimal Operations
Worksheets :3Study Guides :1
Fraction Operations
Worksheets :3Study Guides :1
Rational numbers and operations
Worksheets :3Study Guides :1

IN.7.AF. ALGEBRA AND FUNCTIONS

7.AF.1. Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions, including situations that involve factoring (e.g., given 2x - 10, create an equivalent expression 2(x - 5)). Justify each step in the process.

Polynomials and Exponents
Worksheets :4Study Guides :1

7.AF.2. Solve equations of the form px + q= r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real-world problems using equations of these forms and solve such problems.

One & Two Step Equations
An algebraic equation is an expression in which a letter represents an unknown number Read more...iWorksheets :3Study Guides :1
Algebraic Equations
FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :6Study Guides :1
Introduction to Algebra
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Equations and Inequalities
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Using Integers
Worksheets :4Study Guides :1
Decimal Operations
Worksheets :3Study Guides :1
Fraction Operations
Worksheets :3Study Guides :1
Introduction to Percent
Worksheets :4Study Guides :1
Algebraic Equations
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
Equations and inequalities
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Integer operations
Worksheets :4Study Guides :1
Rational numbers and operations
Worksheets :3Study Guides :1
Solving linear equations
Worksheets :5Study Guides :1
Solving equations and inequalities
Worksheets :3Study Guides :1

7.AF.3. Solve inequalities of the form px +q (> or ≥) r or px + q (< or ≤) r, where p, q, and r are specific rational numbers. Represent real-world problems using inequalities of these forms and solve such problems. Graph the solution set of the inequality and interpret it in the context of the problem.

Equations and Inequalities
Worksheets :5Study Guides :1
Algebraic Inequalities
FreeAlgebraic 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 :1
Equations and inequalities
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Integer operations
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Rational numbers and operations
Worksheets :3Study Guides :1

7.AF.4. Define slope as vertical change for each unit of horizontal change and recognize that a constant rate of change or constant slope describes a linear function. Identify and describe situations with constant or varying rates of change.

Introduction to Functions
Worksheets :5Study Guides :1
Linear equations
Worksheets :3Study Guides :1

7.AF.5. Graph a line given its slope and a point on the line. Find the slope of a line given its graph.

Introduction to Functions
Worksheets :5Study Guides :1
Linear equations
Worksheets :3Study Guides :1

7.AF.7. Identify the unit rate or constant of proportionality in tables, graphs, equations, and verbal descriptions of proportional relationships.

Introduction to Functions
Worksheets :5Study Guides :1
Nonlinear Functions and Set Theory
Worksheets :4Study Guides :1
Linear equations
Worksheets :3Study Guides :1

7.AF.8. Explain what the coordinates of a point on the graph of a proportional relationship mean in terms of the situation, with special attention to the points (0, 0) and (1,r), where r is the unit rate.

Linear relationships
Worksheets :3Study Guides :1

IN.7.GM. GEOMETRY AND MEASUREMENT

7.GM.2. Identify and describe similarity relationships of polygons including the angle-angle criterion for similar triangles, and solve problems involving similarity.

Geometric Proportions
Worksheets :4Study Guides :1
Ratios, proportions and percents
Worksheets :4Study Guides :1
Similarity and scale
Worksheets :3Study Guides :1

7.GM.3. Solve real-world and other mathematical problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing. Create a scale drawing by using proportional reasoning.

Geometric Proportions
Worksheets :4Study Guides :1
Ratios, proportions and percents
Worksheets :4Study Guides :1
Similarity and scale
Worksheets :3Study Guides :1

7.GM.4. Solve real-world and other mathematical problems that involve vertical, adjacent, complementary, and supplementary angles.

Finding Volume
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

7.GM.5. Understand the formulas for area and circumference of a circle and use them to solve real-world and other mathematical problems; give an informal derivation of the relationship between circumference and area of a circle.

Diameter of 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 :1
Area
An area is the amount of surface a shape covers.
An area is measured in inches, feet, meters or centimeters. Read more...
iWorksheets :3Study Guides :1
Formulas
The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets :3Study Guides :1
Area and Circumference of Circles
FreeThe 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 :1
Measurement, Perimeter, and Circumference
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Exploring Area and Surface Area
Worksheets :4Study Guides :1
Perimeter and area
Worksheets :4Study Guides :1

7.GM.6. Solve real-world and other mathematical problems involving volume of cylinders and three-dimensional objects composed of right rectangular prisms.

Volume
Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
Finding Volume
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
Three dimensional geometry/Measurement
Worksheets :3Study Guides :1

7.GM.7. Construct nets for right rectangular prisms and cylinders and use the nets to compute the surface area; apply this technique to solve real-world and other mathematical problems.

Exploring Area and Surface Area
Worksheets :4Study Guides :1
Three dimensional geometry/Measurement
Worksheets :3Study Guides :1

IN.7.DSP. DATA ANALYSIS, STATISTICS, AND PROBABILITY

7.DSP.1. Understand that statistics can be used to gain information about a population by examining a sample of the population and 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.

Collecting and describing data
Worksheets :3Study Guides :1
Experimental Probability
FreeExperimental 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.DSP.2. Use data from a random sample to draw inferences about a population. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

Collecting and describing data
Worksheets :3Study Guides :1
Experimental Probability
FreeExperimental 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.DSP.3. Find, use, and interpret measures of center (mean and median) and measures of spread (range, interquartile range, and mean absolute deviation) for numerical data from random samples to draw comparative inferences about two populations.

Statistics
A statistic is a collection of numbers related to a specific topic. Read more...iWorksheets :6Study Guides :1
Organizing Data
Worksheets :3Study Guides :1
Using graphs to analyze data
Worksheets :3Study Guides :1
Collecting and describing data
Worksheets :3Study Guides :1

7.DSP.5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Understand that 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. Understand that a probability of 1 indicates an event certain to occur and a probability of 0 indicates an event impossible to occur.

Probability
Probability is the possibility that a certain event will occur. Probability word problems worksheets Read more...iWorksheets :3Study Guides :1
Introduction to Probability
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 :1
Using Probability
Worksheets :3Study Guides :1
Ratios, proportions and percents
Worksheets :4Study Guides :1
Experimental Probability
FreeExperimental 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
Theoretical probability and counting
Worksheets :3Study Guides :1

7.DSP.6. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its relative frequency from a large sample.

Introduction to Probability
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 :1
Experimental Probability
FreeExperimental 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.DSP.7. Develop probability models that include the sample space and probabilities of outcomes to represent simple events with equally likely outcomes. Predict the approximate relative frequency of the event based on the model. Compare probabilities from the model to observed frequencies; evaluate the level of agreement and explain possible sources of discrepancy.

Introduction to Probability
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 :1
Theoretical probability and counting
Worksheets :3Study Guides :1

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