Missouri Learning Standards for Sixth Grade Math

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
Adding Fractions
Adding fractions is the operation of adding two or more different fractions. 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
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
Area of Triangles and Quadrilaterals
The area is the surface or space within an enclosed region. Area is expressed in square units. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 2
Commutative/Associative Properties
The commutative property allows us to change the order of the numbers without changing the outcome of the problem. The associative property allows us to change the grouping of the numbers. Read more...iWorksheets: 4Study Guides: 1
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
Estimation
Estimation is the process of rounding a number either up or down to the nearest place value requested. Estimation makes it easier to perform mathematical operations quickly. Read more...iWorksheets: 6Study Guides: 1
Evaluate Exponents
Evaluating an expression containing a number with an exponent means to write the repeated multiplication form and perform the operation Read more...iWorksheets: 3Study Guides: 1
Exponents
The exponent represents the number of times to multiply the number, or base. When a number is represented in this way it is called a power. Read more...iWorksheets: 3Study Guides: 1
Exponents to Repeated Multiplication
An exponent is a smaller-sized number which appears to the right and slightly above a number. Read more...iWorksheets: 3Study Guides: 1
Graphs
A graph is a diagram that shows information in an organized way. Read more...iWorksheets: 6Study Guides: 1
Mixed Numbers
A mixed number has both a whole number and a fraction. Read more...iWorksheets: 4Study Guides: 1
Multiplication
Multiplication is a mathematical operation in which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. 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
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
Perimeter
A perimeter is the measurement of the distance around a figure. It is measured in units and can be measured by inches, feet, blocks, meters, centimeters or millimeters. Read more...iWorksheets: 3Study Guides: 1
Probability
Probability word problems worksheets. 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. The closer a probability is to 1, the more certain that an event will occur. Read more...iWorksheets: 3Study Guides: 1
Repeated Multiplication to Exponents
The result of raising a number to a power is the same number that would be obtained by multiplying the base number together the number of times that is equal to the exponent. Read more...iWorksheets: 3Study Guides: 1
Simplify Fractions
Simplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets: 3Study Guides: 1
Tables
Tables refer to the different types of diagram used to display data.
There are many types of tables such as data table, frequency table, line chart and stern-and-leaf plot. Read more...
iWorksheets: 3Study Guides: 1
Whole Numbers to Trillions
The number system we use is based on a place value system. Although there are only 10 different digits in this system, it is possible to order them in so many variations that the numbers represented are infinite. Read more...iWorksheets: 3Study Guides: 1

MO.6.RP. Ratios and Proportional Relationships

6.RP.A. Understand and use ratios to solve problems.

6.RP.A.1. Understand a ratio as a comparison of two quantities and represent these comparisons.
Proportions/Equivalent Fractions
Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1
Ratio
Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Ratio
A ratio is a comparison of two numbers. The two numbers must have the same unit in order to be compared. Read more...iWorksheets :3Study Guides :1
Simple Proportions
A proportion is a statement that two ratios are equal. A ratio is a pair of numbers used to show a comparison. To solve a proportion, calculate equivalent fractions in order to be sure the two fractions (ratios) are equal. Read more...iWorksheets :3Study Guides :1
Numerical Proportions
Numerical proportions compare two numbers. The numbers can have the same units such as a ratio or the numbers can have different units such as rates. A proportion is usually in the form of a:b or a/b. Ratios are used to compare objects, wins and losses, sides of a figure to its area and many more. Rates are used to compare miles per hour, words per minute, and many others. A unit rate is when the denominator of a proportion is one. Read more...iWorksheets :4Study Guides :1
6.RP.A.2. Understand the concept of a unit rate associated with a ratio, and describe the meaning of unit rate.
Numerical Proportions
Numerical proportions compare two numbers. The numbers can have the same units such as a ratio or the numbers can have different units such as rates. A proportion is usually in the form of a:b or a/b. Ratios are used to compare objects, wins and losses, sides of a figure to its area and many more. Rates are used to compare miles per hour, words per minute, and many others. A unit rate is when the denominator of a proportion is one. Read more...iWorksheets :4Study Guides :1
6.RP.A.3. Solve problems involving ratios and rates.
6.RP.A.3a. Create tables of equivalent ratios, find missing values in the tables and plot the pairs of values on the Cartesian coordinate plane.
Proportions/Equivalent Fractions
Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1
Ratio
Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Ratio
A ratio is a comparison of two numbers. The two numbers must have the same unit in order to be compared. Read more...iWorksheets :3Study Guides :1
Simple Proportions
A proportion is a statement that two ratios are equal. A ratio is a pair of numbers used to show a comparison. To solve a proportion, calculate equivalent fractions in order to be sure the two fractions (ratios) are equal. Read more...iWorksheets :3Study Guides :1
Numerical Proportions
Numerical proportions compare two numbers. The numbers can have the same units such as a ratio or the numbers can have different units such as rates. A proportion is usually in the form of a:b or a/b. Ratios are used to compare objects, wins and losses, sides of a figure to its area and many more. Rates are used to compare miles per hour, words per minute, and many others. A unit rate is when the denominator of a proportion is one. Read more...iWorksheets :4Study Guides :1
6.RP.A.3b. Solve unit rate problems.
Numerical Proportions
Numerical proportions compare two numbers. The numbers can have the same units such as a ratio or the numbers can have different units such as rates. A proportion is usually in the form of a:b or a/b. Ratios are used to compare objects, wins and losses, sides of a figure to its area and many more. Rates are used to compare miles per hour, words per minute, and many others. A unit rate is when the denominator of a proportion is one. Read more...iWorksheets :4Study Guides :1
6.RP.A.3c. Solve percent problems.
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
Percentage
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 :1
Introduction to Percent
What Is Percent? A percent is a term that describes a decimal in terms of one hundred. Percent means per hundred. Percents, fractions and decimals all can equal each other, as in the case of 10%, 0.1 and 1/10. Percents can be greater than 100% or smaller than 1%. A markup from the cost of making an item to the actual sales price is usually greater than 100%. A salesperson's commission might be 1/2% depending on the item sold. Read more...iWorksheets :4Study Guides :1
Applying Percents
Applying percents is a term that refers to the different ways that percents can be used. The percent of change refers to the percent an amount either increases or decreases based on the previous amounts or numbers. Applying percents also means to calculate simple interest using the interest equation, I = P · r · t, where P is the principal; r is the rate and t is the time. Read more...iWorksheets :3Study Guides :1
6.RP.A.3d. Convert measurement units within and between two systems of measurement.
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

MO.6.NS. Number Sense and Operations

6.NS.A. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

6.NS.A.1. Compute and interpret quotients of positive fractions.
6.NS.A.1a. Solve problems involving division of fractions by fractions.
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
Fraction Operations
Fraction operations are the processes of adding, subtracting, multiplying and dividing fractions and mixed numbers. A mixed number is a fraction with a whole number. Adding fractions is common in many everyday events, such as making a recipe and measuring wood. In order to add and subtract fractions, the fractions must have the same denominator. Read more...iWorksheets :3Study Guides :1

6.NS.B. Compute with non-negative multi-digit numbers, and find common factors and multiples.

6.NS.B.2. Demonstrate fluency with division of multi-digit whole numbers.
Division
Division is a mathematical operation is which a number, called a dividend is divided by another number, called a divisor to get a result, called a quotient. Read more...iWorksheets :3Study Guides :1
Division
Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
6.NS.B.3. Demonstrate fluency with addition, subtraction, multiplication and division of decimals.
Add/Subtract/Multiply/Divide Decimals
You add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
Decimal Operations
Decimal operations refer to the mathematical operations that can be performed with decimals: addition, subtraction, multiplication and division. The process for adding, subtracting, multiplying and dividing decimals must be followed in order to achieve the correct answer. Read more...iWorksheets :3Study Guides :1
6.NS.B.4. Find common factors and multiples.
6.NS.B.4a. Find the greatest common factor (GCF) and the least common multiple (LCM).
Common Factors
Factors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets :3Study Guides :1Vocabulary :1
6.NS.B.4b. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers.
Distributive Property
The distributive property offers a choice in multiplication of two ways to treat the addends in the equation. We are multiplying a sum by a factor which results in the same product as multiplying each addend by the factor and then adding the products. Read more...iWorksheets :3Study Guides :1
Using Integers
Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read more...iWorksheets :4Study Guides :1

6.NS.C. Apply and extend previous understandings of numbers to the system of rational numbers.

6.NS.C.5. Use positive and negative numbers to represent quantities.
Positive & Negative Integers
Positive integers are all the whole numbers greater than zero. Negative integers are all the opposites of these whole numbers, numbers that are less than zero. Zero is considered neither positive nor negative Read more...iWorksheets :4Study Guides :1
Using Integers
Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read more...iWorksheets :4Study Guides :1
6.NS.C.6. Locate a rational number as a point on the number line.
6.NS.C.6b. Write, interpret and explain problems of ordering of rational numbers.
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 Decimals
When putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Compare and Order Fractions
When comparing two fractions that have a common denominator, you can looks at the numerators to decide which fraction is greater Read more...iWorksheets :3Study Guides :1Vocabulary :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
Positive & Negative Integers
Positive integers are all the whole numbers greater than zero. Negative integers are all the opposites of these whole numbers, numbers that are less than zero. Zero is considered neither positive nor negative Read more...iWorksheets :4Study Guides :1
Ordering Fractions
A fraction consists of two numbers separated by a line - numerator and denominator. To order fractions with like numerators, look at the denominators and compare them two at a time. The fraction with the smaller denominator is the larger fraction. Read more...iWorksheets :3Study Guides :1
Fractions/Decimals
How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
Less Than, Greater Than
Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study 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. 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 :1
Exponents, Factors and Fractions
In a mathematical expression where the same number is multiplied many times, it is often useful to write the number as a base with an exponent. Exponents are also used to evaluate numbers. Any number to a zero exponent is 1 and any number to a negative exponent is a number less than 1. Exponents are used in scientific notation to make very large or very small numbers easier to write. Read more...iWorksheets :4Study Guides :1
6.NS.C.8. Extend prior knowledge to generate equivalent representations of rational numbers between fractions, decimals and percentages (limited to terminating decimals and/or benchmark fractions of 1/3 and 2/3).
Percents
A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Percentage
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 :1
Multiple Representation of Rational Numbers
What 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 :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. 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 :1
Introduction to Percent
What Is Percent? A percent is a term that describes a decimal in terms of one hundred. Percent means per hundred. Percents, fractions and decimals all can equal each other, as in the case of 10%, 0.1 and 1/10. Percents can be greater than 100% or smaller than 1%. A markup from the cost of making an item to the actual sales price is usually greater than 100%. A salesperson's commission might be 1/2% depending on the item sold. Read more...iWorksheets :4Study Guides :1

MO.6.EEI. Expressions, Equations and Inequalities

6.EEI.A. Apply and extend previous understandings of arithmetic to algebraic expressions.

6.EEI.A.1. Describe the difference between an expression and an equation.
Order of Operations
A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1
Introduction to Algebra
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1
Equations and Inequalities
Algebraic equations are mathematical equations that contain a letter or variable, which represents a number. To solve an algebraic equation, inverse operations are used. The inverse operation of addition is subtraction and the inverse operation of subtraction is addition. Inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to ≥; less than, <; and less than or equal to, ≤. Read more...iWorksheets :5Study Guides :1
6.EEI.A.2. Create and evaluate expressions involving variables and whole number exponents.
6.EEI.A.2a. Identify parts of an expression using mathematical terminology.
Order of Operations
A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1
Introduction to Algebra
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1
6.EEI.A.2b. Evaluate expressions at specific values of the variables.
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
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. 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
6.EEI.A.2c. Evaluate non-negative rational number expressions.
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
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. 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
6.EEI.A.2d. Write and evaluate algebraic expressions.
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
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. 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
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1
6.EEI.A.2e. Understand the meaning of the variable in the context of the situation.
Introduction to Algebra
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1

6.EEI.B. Reason about and solve one-variable equations and inequalities.

6.EEI.B.4. Use substitution to determine whether a given number in a specified set makes a one-variable equation or inequality true.
Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1
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
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1
Equations and Inequalities
Algebraic equations are mathematical equations that contain a letter or variable, which represents a number. To solve an algebraic equation, inverse operations are used. The inverse operation of addition is subtraction and the inverse operation of subtraction is addition. Inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to ≥; less than, <; and less than or equal to, ≤. Read more...iWorksheets :5Study Guides :1
Using Integers
Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read more...iWorksheets :4Study Guides :1
Decimal Operations
Decimal operations refer to the mathematical operations that can be performed with decimals: addition, subtraction, multiplication and division. The process for adding, subtracting, multiplying and dividing decimals must be followed in order to achieve the correct answer. Read more...iWorksheets :3Study Guides :1
Fraction Operations
Fraction operations are the processes of adding, subtracting, multiplying and dividing fractions and mixed numbers. A mixed number is a fraction with a whole number. Adding fractions is common in many everyday events, such as making a recipe and measuring wood. In order to add and subtract fractions, the fractions must have the same denominator. Read more...iWorksheets :3Study Guides :1
Introduction to Percent
What Is Percent? A percent is a term that describes a decimal in terms of one hundred. Percent means per hundred. Percents, fractions and decimals all can equal each other, as in the case of 10%, 0.1 and 1/10. Percents can be greater than 100% or smaller than 1%. A markup from the cost of making an item to the actual sales price is usually greater than 100%. A salesperson's commission might be 1/2% depending on the item sold. Read more...iWorksheets :4Study Guides :1
Algebraic Equations
What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. When algebraic equations are written in words, the words must be changed into the appropriate numbers and variable in order to solve. Read more...iWorksheets :4Study 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. The only rule of inequalities that must be remembered is that when a variable is multiplied or divided by a negative number the sign is reversed. Read more...iWorksheets :3Study Guides :1
6.EEI.B.5. Understand that if any solutions exist, the solution set for an equation or inequality consists of values that make the equation or inequality true.
Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1
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
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1
Equations and Inequalities
Algebraic equations are mathematical equations that contain a letter or variable, which represents a number. To solve an algebraic equation, inverse operations are used. The inverse operation of addition is subtraction and the inverse operation of subtraction is addition. Inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to ≥; less than, <; and less than or equal to, ≤. Read more...iWorksheets :5Study Guides :1
Using Integers
Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read more...iWorksheets :4Study Guides :1
Decimal Operations
Decimal operations refer to the mathematical operations that can be performed with decimals: addition, subtraction, multiplication and division. The process for adding, subtracting, multiplying and dividing decimals must be followed in order to achieve the correct answer. Read more...iWorksheets :3Study Guides :1
Fraction Operations
Fraction operations are the processes of adding, subtracting, multiplying and dividing fractions and mixed numbers. A mixed number is a fraction with a whole number. Adding fractions is common in many everyday events, such as making a recipe and measuring wood. In order to add and subtract fractions, the fractions must have the same denominator. Read more...iWorksheets :3Study Guides :1
Introduction to Percent
What Is Percent? A percent is a term that describes a decimal in terms of one hundred. Percent means per hundred. Percents, fractions and decimals all can equal each other, as in the case of 10%, 0.1 and 1/10. Percents can be greater than 100% or smaller than 1%. A markup from the cost of making an item to the actual sales price is usually greater than 100%. A salesperson's commission might be 1/2% depending on the item sold. Read more...iWorksheets :4Study Guides :1
Algebraic Equations
What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. When algebraic equations are written in words, the words must be changed into the appropriate numbers and variable in order to solve. Read more...iWorksheets :4Study 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. The only rule of inequalities that must be remembered is that when a variable is multiplied or divided by a negative number the sign is reversed. Read more...iWorksheets :3Study Guides :1
6.EEI.B.6. Write and solve equations using variables to represent quantities, and understand the meaning of the variable in the context of the situation.
Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1
One & Two Step Equations
An algebraic equation is an expression in which a letter represents an unknown number Read more...iWorksheets :3Study Guides :1
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. 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
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1
Equations and Inequalities
Algebraic equations are mathematical equations that contain a letter or variable, which represents a number. To solve an algebraic equation, inverse operations are used. The inverse operation of addition is subtraction and the inverse operation of subtraction is addition. Inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to ≥; less than, <; and less than or equal to, ≤. Read more...iWorksheets :5Study Guides :1
Using Integers
Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read more...iWorksheets :4Study Guides :1
Decimal Operations
Decimal operations refer to the mathematical operations that can be performed with decimals: addition, subtraction, multiplication and division. The process for adding, subtracting, multiplying and dividing decimals must be followed in order to achieve the correct answer. Read more...iWorksheets :3Study Guides :1
Fraction Operations
Fraction operations are the processes of adding, subtracting, multiplying and dividing fractions and mixed numbers. A mixed number is a fraction with a whole number. Adding fractions is common in many everyday events, such as making a recipe and measuring wood. In order to add and subtract fractions, the fractions must have the same denominator. Read more...iWorksheets :3Study Guides :1
Introduction to Percent
What Is Percent? A percent is a term that describes a decimal in terms of one hundred. Percent means per hundred. Percents, fractions and decimals all can equal each other, as in the case of 10%, 0.1 and 1/10. Percents can be greater than 100% or smaller than 1%. A markup from the cost of making an item to the actual sales price is usually greater than 100%. A salesperson's commission might be 1/2% depending on the item sold. Read more...iWorksheets :4Study Guides :1
Algebraic Equations
What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. When algebraic equations are written in words, the words must be changed into the appropriate numbers and variable in order to solve. Read more...iWorksheets :4Study Guides :1
6.EEI.B.7. Solve one-step linear equations in one variable involving non-negative rational numbers.
Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1
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
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1
Equations and Inequalities
Algebraic equations are mathematical equations that contain a letter or variable, which represents a number. To solve an algebraic equation, inverse operations are used. The inverse operation of addition is subtraction and the inverse operation of subtraction is addition. Inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to ≥; less than, <; and less than or equal to, ≤. Read more...iWorksheets :5Study Guides :1
Using Integers
Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read more...iWorksheets :4Study Guides :1
Decimal Operations
Decimal operations refer to the mathematical operations that can be performed with decimals: addition, subtraction, multiplication and division. The process for adding, subtracting, multiplying and dividing decimals must be followed in order to achieve the correct answer. Read more...iWorksheets :3Study Guides :1
Fraction Operations
Fraction operations are the processes of adding, subtracting, multiplying and dividing fractions and mixed numbers. A mixed number is a fraction with a whole number. Adding fractions is common in many everyday events, such as making a recipe and measuring wood. In order to add and subtract fractions, the fractions must have the same denominator. Read more...iWorksheets :3Study Guides :1
Introduction to Percent
What Is Percent? A percent is a term that describes a decimal in terms of one hundred. Percent means per hundred. Percents, fractions and decimals all can equal each other, as in the case of 10%, 0.1 and 1/10. Percents can be greater than 100% or smaller than 1%. A markup from the cost of making an item to the actual sales price is usually greater than 100%. A salesperson's commission might be 1/2% depending on the item sold. Read more...iWorksheets :4Study Guides :1
Algebraic Equations
What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. When algebraic equations are written in words, the words must be changed into the appropriate numbers and variable in order to solve. Read more...iWorksheets :4Study Guides :1
6.EEI.B.8. Recognize that inequalities may have infinitely many solutions.
6.EEI.B.8a. Write an inequality of the form x > c, x < c, x ≥ c, or x ≤ c to represent a constraint or condition.
Equations and Inequalities
Algebraic equations are mathematical equations that contain a letter or variable, which represents a number. To solve an algebraic equation, inverse operations are used. The inverse operation of addition is subtraction and the inverse operation of subtraction is addition. Inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to ≥; less than, <; and less than or equal to, ≤. Read more...iWorksheets :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. The only rule of inequalities that must be remembered is that when a variable is multiplied or divided by a negative number the sign is reversed. Read more...iWorksheets :3Study Guides :1
6.EEI.B.8b. Graph the solution set of an inequality.
Equations and Inequalities
Algebraic equations are mathematical equations that contain a letter or variable, which represents a number. To solve an algebraic equation, inverse operations are used. The inverse operation of addition is subtraction and the inverse operation of subtraction is addition. Inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to ≥; less than, <; and less than or equal to, ≤. Read more...iWorksheets :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. The only rule of inequalities that must be remembered is that when a variable is multiplied or divided by a negative number the sign is reversed. Read more...iWorksheets :3Study Guides :1

6.EEI.C. Represent and analyze quantitative relationships between dependent and independent variables.

6.EEI.C.9. Identify and describe relationships between two variables that change in relationship to one another.
6.EEI.C.9a. Write an equation to express one quantity, the dependent variable, in terms of the other quantity, the independent variable.
Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1
Introduction to Algebra
Algebra is the practice of using expressions with letters or variables that represent numbers. Words can be changed into a mathematical expression by using the words, plus, exceeds, diminished, less, times, the product, divided, the quotient and many more. Algebra uses variables to represent a value that is not yet known. Read more...iWorksheets :3Study Guides :1

MO.6.GM. Geometry and Measurement

6.GM.A. Solve problems involving area, surface area and volume.

6.GM.A.2. Find the volume of right rectangular prisms.
6.GM.A.2a. Understand that the volume of a right rectangular prism can be found by filling the prism with multiple layers of the base.
Volume
Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
Volume and Capacity
What is volume? Volume is the 3-dimensional size of an object, such as a box. What is capacity? Capacity is the amount a 3-dimensional object can hold or carry. It can also be thought of the measure of volume of a 3-dimensional object. Read more...iWorksheets :4Study 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. The formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height. Read more...iWorksheets :4Study Guides :1
6.GM.A.2b. Apply V = l * w * h and V = Bh to find the volume 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. The formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height. Read more...iWorksheets :4Study Guides :1
6.GM.A.3. Solve problems by graphing points in all four quadrants of the Cartesian coordinate plane.
6.GM.A.3a. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the Cartesian coordinate plane.
Plot Points
You use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Coordinates
The use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
Plotting Points
In a coordinate pair, the first number indicates the position of the point along the horizontal axis of the grid. The second number indicates the position of the point along the vertical axis. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Graphs and Tables
Using tables and graphs is a way people can interpret data. Data means information. So interpreting data just means working out what information is telling you. Information is sometimes shown in tables, charts and graphs to make the information easier to read. Read more...iWorksheets :3Study Guides :1
Area of Coordinate Polygons
Calculate the area of basic polygons drawn on a coordinate plane. Coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. Read more...iWorksheets :3Study Guides :1
6.GM.A.3b. Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
Plot Points
You use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Coordinates
The use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
Plotting Points
In a coordinate pair, the first number indicates the position of the point along the horizontal axis of the grid. The second number indicates the position of the point along the vertical axis. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Graphs and Tables
Using tables and graphs is a way people can interpret data. Data means information. So interpreting data just means working out what information is telling you. Information is sometimes shown in tables, charts and graphs to make the information easier to read. Read more...iWorksheets :3Study Guides :1
Area of Coordinate Polygons
Calculate the area of basic polygons drawn on a coordinate plane. Coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. Read more...iWorksheets :3Study Guides :1
6.GM.A.3d. Construct polygons in the Cartesian coordinate plane.
Plot Points
You use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1
6.GM.A.4. Solve problems using nets.
6.GM.A.4b. Use nets to find the surface area of three-dimensional figures whose sides are made up of rectangles and triangles.
Exploring Area and Surface Area
Area is the amount of surface a shape covers. Area is measured in square units, whether the units are inches, feet, meters or centimeters. The area formula for a triangle is: A = 1/2 · b · h, where b is the base and h is the height. The area formula for a circle is: A = π · r², where π is usually 3.14 and r is the radius of the circle. The area formula for a parallelogram is: A = b · h, where b is the base and h is the height. Read more...iWorksheets :4Study Guides :1

MO.6.DSP. Data Analysis, Statistics and Probability

6.DSP.A. Develop understanding of statistical variability.

6.DSP.A.3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary from a single number.
Statistics
A statistic is a collection of numbers related to a specific topic. Read more...iWorksheets :6Study Guides :1
Statistics
The statistical mode is the number that occurs most frequently in a set of numbers. Read more...iWorksheets :3Study Guides :1
Data Analysis
Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1
Organizing Data
The data can be organized into groups, and evaluated. Mean, mode, median and range are different ways to evaluate data. The mean is the average of the data. The mode refers to the number that occurs the most often in the data. The median is the middle number when the data is arranged in order from lowest to highest. The range is the difference in numbers when the lowest number is subtracted from the highest number. Data can be organized into a table, such as a frequency table. Read more...iWorksheets :3Study Guides :1

6.DSP.B. Summarize and describe distributions.

6.DSP.B.4. Display and interpret data.
6.DSP.B.4b. Create and interpret circle graphs.
Data Analysis
Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1
6.DSP.B.5. Summarize numerical data sets in relation to the context.
6.DSP.B.5c. Give quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context of the data.
Statistics
A statistic is a collection of numbers related to a specific topic. Read more...iWorksheets :6Study Guides :1
Statistics
The statistical mode is the number that occurs most frequently in a set of numbers. Read more...iWorksheets :3Study Guides :1
Data Analysis
Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1
Organizing Data
The data can be organized into groups, and evaluated. Mean, mode, median and range are different ways to evaluate data. The mean is the average of the data. The mode refers to the number that occurs the most often in the data. The median is the middle number when the data is arranged in order from lowest to highest. The range is the difference in numbers when the lowest number is subtracted from the highest number. Data can be organized into a table, such as a frequency table. Read more...iWorksheets :3Study Guides :1
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