**Elapsed Time**Elapsed time is the amount of time that has passed between two defined times. Read more...iWorksheets: 5Study Guides: 1### STEM.M. MATHEMATICS: National Council of Teachers of Mathematics (NCTM)

#### NCTM.1. Number and Operations

##### 1.1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

###### 1.1.1. Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.

**Place Value**Place value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets :6Study Guides :1**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**Algebra**Comparing whole numbers, fractions, and decimals means looking at the values of two numbers and deciding if they are greater than, less than or equal to each other. 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**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 :4Study 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**Greater Than/Less Than**If a number is greater than another number that means it is higher
in value than the other number. If a number is less than another number that means it is lower in value than the other number. Read more...iWorksheets :3Study Guides :1**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**Compare and Order Numbers**What is comparing and ordering numbers? Ordering numbers means listing numbers from least to greatest, or greatest to least. Comparing numbers means looking at the values of two numbers and deciding if the numbers are greater than, less than, or equal to each other. Read more...iWorksheets :3Study Guides :1**Rounding Numbers**What Is Rounding? Rounding means reducing the digits in a number while trying to keep its value similar. How to Round: The number in the given place is increased by one if the digit to its right is 5 or greater. The number in the given place remains the same if the digit to its right is less than 5. Read more...iWorksheets :3Study Guides :1Vocabulary :1**Place Value**What Is Place Value? In our decimal number system, the value of a digit depends on its place, or position, in the number. Beginning with the ones place at the right, each place value is multiplied by increasing powers of 10. Read more...iWorksheets :4Study Guides :1Vocabulary :1**Number Words and Place Value**When we write numbers, the position of each digit is important. Each position is 10 more than the one before it. So, 23 means “add 2*10 to 3*1″. In the number 467: the "7" is in the Ones position, meaning 7 ones, the "6" is in the Tens position meaning 6 tens, and the "4" is in the Hundreds position. Read more...iWorksheets :3Study Guides :1###### 1.1.3. Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

**Add/Subtract Decimals**Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. Read more...iWorksheets :14Study Guides :1Vocabulary :1**Add/Subtract Fractions**Freeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :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**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**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**Simplify Fractions**Simplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets :3Study Guides :1**Probability**FreeProbability word problems worksheet. Probability is the measure of how likely an event is. Probability = (Total ways a specific outcome will happen) / (Total number of possible outcomes). The probability of event A is the number of ways event A can occur divided by the total number of possible outcomes. Read more...iWorksheets :4Study Guides :1**Probability**Probability word problems worksheet. Probability is the chance of whether something will happen or not. If two things have an EQUAL chance of happening, they have the
SAME probability. If there are MORE chances of something happening (A) than something else (B), that means there is a HIGHER PROBABILITY of that something (A) happening. Read more...iWorksheets :3Study 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**Subtracting Fractions**Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. First, make sure the denominators are the same, then subtract the numerators. Read more...iWorksheets :3Study Guides :1**Number Line**A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :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**Add/Subtract Fractions**What Is Addition and Subtraction of Fractions? Addition is combining two or more fractions. The term used for addition is plus. When two or more numbers, or addends, are combined they form a new number called a sum. Subtraction is “taking away” one fraction from another fraction. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :4Study Guides :1**Fractions**The top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1**Adding Fractions**Fractions consist of two numbers. The top number is called the numerator.
The bottom number is called the denominator. To add two fractions with the same denominator: Add the numerators and place the sum over the common denominator. Read more...iWorksheets :3Study Guides :1###### 1.1.4. Use models, benchmarks, and equivalent forms to judge the size of fractions.

**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**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**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**Fractions**The top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1###### 1.1.5. Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.

**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**Percents**A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :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**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**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :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**Fractions**The top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1###### 1.1.6. Explore numbers less than 0 by extending the number line and through familiar applications.

**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**Number Line**A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1##### 1.2. Understand meanings of operations and how they relate to one another.

###### 1.2.1. Understand various meanings of multiplication and division.

**Algebra**Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1###### 1.2.3. Identify and use relationships between operations, such as division as the inverse of multiplication, to solve problems.

**Algebra**Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :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**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**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###### 1.2.4. Understand and use properties of operations, such as the distributivity of multiplication over addition.

**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**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##### 1.3. Compute fluently and make reasonable estimates.

###### 1.3.1. Develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30 x 50.

**Division/Multiplication**Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1###### 1.3.2. Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

**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**Multiplication**Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1**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**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**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**Odd/Even**A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1**Division**Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1**More Multiplication**Multiplication of two digits by two digits. What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding. By multiplying numbers together, you are adding a series of one number to itself. Read more...iWorksheets :3Study Guides :1**Multiplication**What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding by using strategies to
remember what different groups of each number equal. By multiplying numbers together, you are adding a series of one number to itself. The answer to a multiplication problem is called a product. Read more...iWorksheets :7Study Guides :1**Addition/Subtraction**Addition is combining two or more numbers. The term used for addition is plus. When two or more numbers are combined they form a new number called a sum. Subtraction is “taking away” one number from another. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :6Study Guides :1**Division**What Is Division? Division is splitting up numbers into equal parts. The process of finding out how many times one number will go into another number. Division is a series of repeated subtraction. The parts of a division problem include the divisor, dividend, quotient and remainder. Read more...iWorksheets :4Study Guides :1**Division/Multiplication**Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1###### 1.3.3. Develop and use strategies to estimate the results of whole-number computations and to judge the reasonableness of such results.

**Estimation**FreeTo estimate means to make an educated guess based on what you already know. Read more...iWorksheets :4Study Guides :1###### 1.3.4. Develop and use strategies to estimate computations involving fractions and decimals in situations relevant to students'' experience.

**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###### 1.3.5. Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

**Add/Subtract Decimals**Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. Read more...iWorksheets :14Study Guides :1Vocabulary :1**Add/Subtract Fractions**Freeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :1**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**Subtracting Fractions**Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. First, make sure the denominators are the same, then subtract the numerators. Read more...iWorksheets :3Study Guides :1**Number Line**A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1**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**Add/Subtract Fractions**What Is Addition and Subtraction of Fractions? Addition is combining two or more fractions. The term used for addition is plus. When two or more numbers, or addends, are combined they form a new number called a sum. Subtraction is “taking away” one fraction from another fraction. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :4Study Guides :1**Adding Fractions**Fractions consist of two numbers. The top number is called the numerator.
The bottom number is called the denominator. To add two fractions with the same denominator: Add the numerators and place the sum over the common denominator. Read more...iWorksheets :3Study Guides :1###### 1.3.6. Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

**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**Multiplication**Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1**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**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**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**Odd/Even**A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1**Estimation**FreeTo estimate means to make an educated guess based on what you already know. Read more...iWorksheets :4Study Guides :1**More Multiplication**Multiplication of two digits by two digits. What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding. By multiplying numbers together, you are adding a series of one number to itself. Read more...iWorksheets :3Study Guides :1**Multiplication**What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding by using strategies to
remember what different groups of each number equal. By multiplying numbers together, you are adding a series of one number to itself. The answer to a multiplication problem is called a product. Read more...iWorksheets :7Study Guides :1**Addition/Subtraction**Addition is combining two or more numbers. The term used for addition is plus. When two or more numbers are combined they form a new number called a sum. Subtraction is “taking away” one number from another. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :6Study Guides :1**Division**What Is Division? Division is splitting up numbers into equal parts. The process of finding out how many times one number will go into another number. Division is a series of repeated subtraction. The parts of a division problem include the divisor, dividend, quotient and remainder. Read more...iWorksheets :4Study Guides :1**Division/Multiplication**Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1#### NCTM.2. Algebra

##### 2.1. Understand patterns, relations, and functions.

###### 2.1.1. Describe, extend, and make generalizations about geometric and numeric patterns.

**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**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1###### 2.1.2. Represent and analyze patterns and functions, using words, tables, and graphs.

**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**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1##### 2.2. Represent and analyze mathematical situations and structures using algebraic symbols.

###### 2.2.1. Identify such properties as commutativity, associativity, and distributivity and use them to compute with 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**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###### 2.2.3. Express mathematical relationships using equations.

**Evaluate Open Sentences**Algebra is a study of the properties of operations on numbers. Algebra generalizes math by using symbols or letters to represent numbers. Read more...iWorksheets :3Study Guides :1Vocabulary :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##### 2.3. Use mathematical models to represent and understand quantitative relationships.

###### 2.3.1. Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

**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**Add/Subtract Decimals**Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. Read more...iWorksheets :14Study Guides :1Vocabulary :1**Multiplication**Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1**Add/Subtract Fractions**Freeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :1**Place Value**Place value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets :6Study Guides :1**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**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**Evaluate Open Sentences**Algebra is a study of the properties of operations on numbers. Algebra generalizes math by using symbols or letters to represent numbers. Read more...iWorksheets :3Study Guides :1Vocabulary :1**Algebra**Comparing whole numbers, fractions, and decimals means looking at the values of two numbers and deciding if they are greater than, less than or equal to each other. 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**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**Percents**A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :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 :4Study Guides :1**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**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**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**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**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**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**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**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**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**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**Simplify Fractions**Simplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets :3Study Guides :1**Rounding**Rounding makes numbers that are easier to work with in your head. Rounded numbers are only approximate. Use rounding to get an answer that is close but that does not have to be exact. Read more...iWorksheets :3Study Guides :1**Ratio**Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :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**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**Probability**FreeProbability word problems worksheet. Probability is the measure of how likely an event is. Probability = (Total ways a specific outcome will happen) / (Total number of possible outcomes). The probability of event A is the number of ways event A can occur divided by the total number of possible outcomes. Read more...iWorksheets :4Study Guides :1**Probability**Probability word problems worksheet. Probability is the chance of whether something will happen or not. If two things have an EQUAL chance of happening, they have the
SAME probability. If there are MORE chances of something happening (A) than something else (B), that means there is a HIGHER PROBABILITY of that something (A) happening. Read more...iWorksheets :3Study 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**Subtracting Fractions**Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. First, make sure the denominators are the same, then subtract the numerators. 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**Odd/Even**A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1**Money**FreeWhat Is Making Change? Making change means giving money back to someone after they
have made a purchase and paid more than they owed. This is done using banknotes and coins. You can subtract, add, multiply, and divide money when making change. Read more...iWorksheets :7Study Guides :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**Number Line**A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1**Greater Than/Less Than**If a number is greater than another number that means it is higher
in value than the other number. If a number is less than another number that means it is lower in value than the other number. Read more...iWorksheets :3Study Guides :1**Estimation**FreeTo estimate means to make an educated guess based on what you already know. Read more...iWorksheets :4Study Guides :1**Division**Divide three-digit numbers by one- and two-digit numbers. 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**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**Decimals**READING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :3Study Guides :1Vocabulary :1**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**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1**Compare and Order Numbers**What is comparing and ordering numbers? Ordering numbers means listing numbers from least to greatest, or greatest to least. Comparing numbers means looking at the values of two numbers and deciding if the numbers are greater than, less than, or equal to each other. Read more...iWorksheets :3Study Guides :1**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1**Percents**When there are one HUNDRED equal parts of something, you can find
a PERCENT. Read more...iWorksheets :3Study 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**Rounding Numbers**What Is Rounding? Rounding means reducing the digits in a number while trying to keep its value similar. How to Round: The number in the given place is increased by one if the digit to its right is 5 or greater. The number in the given place remains the same if the digit to its right is less than 5. Read more...iWorksheets :3Study Guides :1Vocabulary :1**Place Value**What Is Place Value? In our decimal number system, the value of a digit depends on its place, or position, in the number. Beginning with the ones place at the right, each place value is multiplied by increasing powers of 10. Read more...iWorksheets :4Study Guides :1Vocabulary :1**More Multiplication**Multiplication of two digits by two digits. What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding. By multiplying numbers together, you are adding a series of one number to itself. Read more...iWorksheets :3Study Guides :1**Multiplication**What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding by using strategies to
remember what different groups of each number equal. By multiplying numbers together, you are adding a series of one number to itself. The answer to a multiplication problem is called a product. Read more...iWorksheets :7Study Guides :1**Add/Subtract Fractions**What Is Addition and Subtraction of Fractions? Addition is combining two or more fractions. The term used for addition is plus. When two or more numbers, or addends, are combined they form a new number called a sum. Subtraction is “taking away” one fraction from another fraction. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :4Study Guides :1**Addition/Subtraction**Addition is combining two or more numbers. The term used for addition is plus. When two or more numbers are combined they form a new number called a sum. Subtraction is “taking away” one number from another. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :6Study Guides :1**Division**What Is Division? Division is splitting up numbers into equal parts. The process of finding out how many times one number will go into another number. Division is a series of repeated subtraction. The parts of a division problem include the divisor, dividend, quotient and remainder. Read more...iWorksheets :4Study Guides :1**Division/Multiplication**Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1**Fractions**The top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1**Number Words and Place Value**When we write numbers, the position of each digit is important. Each position is 10 more than the one before it. So, 23 means “add 2*10 to 3*1″. In the number 467: the "7" is in the Ones position, meaning 7 ones, the "6" is in the Tens position meaning 6 tens, and the "4" is in the Hundreds position. Read more...iWorksheets :3Study Guides :1**Adding Fractions**Fractions consist of two numbers. The top number is called the numerator.
The bottom number is called the denominator. To add two fractions with the same denominator: Add the numerators and place the sum over the common denominator. Read more...iWorksheets :3Study Guides :1**Order of Operations**Rules of Order of Operations: 1st: Compute all operations inside of parentheses. 2nd: Compute all work with exponents. 3rd: Compute all multiplication and division from left to right. 4th: Compute all addition and subtraction from left to right. Read more...iWorksheets :3Study Guides :1##### 2.4. Analyze change in various contexts.

###### 2.4.2. Identify and describe situations with constant or varying rates of change and compare them.

**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**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1#### NCTM.3. Geometry

##### 3.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

###### 3.1.1. Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.

**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**Volume**Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study 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**Area**An area is the amount of surface a shape covers. <br>An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1**Perimeter**A polygon is any 2-dimensional shape formed with straight lines. The perimeter of a polygon is the sum of all its length. Read more...iWorksheets :6Study Guides :1**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**Shapes**FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3**Polygon Characteristics**A polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets :7Study Guides :1Vocabulary :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 :5Study Guides :1**Area**Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1**Congruent Shapes**Figures are congruent if they are identical in every way except for their
position. Read more...iWorksheets :3Study Guides :1**Area and Perimeter**The area of a figure is the space inside the figure. The perimeter of a polygon is the distance around it. The perimeter is the sum of the lengths of ALL the sides. Read more...iWorksheets :5Study Guides :1**Perimeter**Perimeter is the distance around the outside of an object. Read more...iWorksheets :3Study Guides :1Vocabulary :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**Angles**A right angle is an angle that measures 90°. A straight angle is an angle that measures 180°. An obtuse angle is an angle that measures more than 90°. An acute angle is an angle that measures less than 90°. Read more...iWorksheets :10Study 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###### 3.1.2. Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.

**Shapes**FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3**Polygon Characteristics**A polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets :7Study Guides :1Vocabulary :1###### 3.1.4. Explore congruence and similarity.

**Congruent Shapes**Figures are congruent if they are identical in every way except for their
position. Read more...iWorksheets :3Study Guides :1##### 3.2. Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

###### 3.2.1. Describe location and movement using common language and geometric vocabulary.

**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**Coordinates**You can use a pair of numbers to describe the location of a
point on a grid. The numbers in the pair are called coordinates. 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###### 3.2.2. Make and use coordinate systems to specify locations and to describe paths.

**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**Coordinates**You can use a pair of numbers to describe the location of a
point on a grid. The numbers in the pair are called coordinates. Read more...iWorksheets :3Study Guides :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##### 3.4. Use visualization, spatial reasoning, and geometric modeling to solve problems.

###### 3.4.1. Build and draw geometric objects.

**Angles**A right angle is an angle that measures 90°. A straight angle is an angle that measures 180°. An obtuse angle is an angle that measures more than 90°. An acute angle is an angle that measures less than 90°. Read more...iWorksheets :10Study Guides :1###### 3.4.5. Use geometric models to solve problems in other areas of mathematics, such as number and measurement.

**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**Volume**Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study 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**Area**An area is the amount of surface a shape covers. <br>An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1**Perimeter**A polygon is any 2-dimensional shape formed with straight lines. The perimeter of a polygon is the sum of all its length. Read more...iWorksheets :6Study 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 :5Study Guides :1**Area**Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1**Area and Perimeter**The area of a figure is the space inside the figure. The perimeter of a polygon is the distance around it. The perimeter is the sum of the lengths of ALL the sides. Read more...iWorksheets :5Study Guides :1**Perimeter**Perimeter is the distance around the outside of an object. Read more...iWorksheets :3Study Guides :1Vocabulary :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**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###### 3.4.6. Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.

**Shapes**FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3#### NCTM.4. Measurement

##### 4.1. Understand measurable attributes of objects and the units, systems, and processes of measurement.

###### 4.1.1. Understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute.

**Volume**Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study 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**Area**An area is the amount of surface a shape covers. <br>An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1**Measurement**Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. Read more...iWorksheets :6Study Guides :1Vocabulary :2**Measurement**FreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets :8Study Guides :1Vocabulary :3**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**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 :5Study Guides :1**Area**Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1**Units of Measure**When you need to measure an object, you must decide if you are: Measuring
in length, weight, or capacity, choosing the unit that makes sense to measure the object, Measuring in the customary system or the metric system. Read more...iWorksheets :3Study Guides :1**Area and Perimeter**The area of a figure is the space inside the figure. The perimeter of a polygon is the distance around it. The perimeter is the sum of the lengths of ALL the sides. Read more...iWorksheets :5Study 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**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###### 4.1.2. Understand the need for measuring with standard units and become familiar with standard units in the customary and metric systems.

**Measurement**Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. Read more...iWorksheets :6Study Guides :1Vocabulary :2**Measurement**FreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets :8Study Guides :1Vocabulary :3**Units of Measure**When you need to measure an object, you must decide if you are: Measuring
in length, weight, or capacity, choosing the unit that makes sense to measure the object, Measuring in the customary system or the metric system. Read more...iWorksheets :3Study Guides :1###### 4.1.3. Carry out simple unit conversions, such as from centimeters to meters, within a system 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**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 :5Study Guides :1###### 4.1.4. Understand that measurements are approximations and how differences in units affect precision.

**Measurement**Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. Read more...iWorksheets :6Study Guides :1Vocabulary :2**Measurement**FreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets :8Study Guides :1Vocabulary :3**Units of Measure**When you need to measure an object, you must decide if you are: Measuring
in length, weight, or capacity, choosing the unit that makes sense to measure the object, Measuring in the customary system or the metric system. Read more...iWorksheets :3Study Guides :1##### 4.2. Apply appropriate techniques, tools, and formulas to determine measurements.

###### 4.2.2. Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles.

**Measurement**Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. Read more...iWorksheets :6Study Guides :1Vocabulary :2**Measurement**FreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets :8Study Guides :1Vocabulary :3**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**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 :5Study Guides :1**Units of Measure**When you need to measure an object, you must decide if you are: Measuring
in length, weight, or capacity, choosing the unit that makes sense to measure the object, Measuring in the customary system or the metric system. Read more...iWorksheets :3Study Guides :1###### 4.2.4. Develop, understand, and use formulas to find the area of rectangles and related triangles and parallelograms.

**Area**An area is the amount of surface a shape covers. <br>An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1**Area**Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1**Area and Perimeter**The area of a figure is the space inside the figure. The perimeter of a polygon is the distance around it. The perimeter is the sum of the lengths of ALL the sides. Read more...iWorksheets :5Study Guides :1###### 4.2.5. Develop strategies to determine the surface areas and volumes of rectangular solids.

**Volume**Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1#### NCTM.5. Data Analysis and Probability

##### 5.1. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

###### 5.1.2. Collect data using observations, surveys, and experiments.

**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##### 5.2. Select and use appropriate statistical methods to analyze data.

###### 5.2.2. Use measures of center, focusing on the median, and understand what each does and does not indicate about the data set.

**Data Analysis**Analysis of data is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information. Read more...iWorksheets :4Study Guides :1Vocabulary :1**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##### 5.4. Understand and apply basic concepts of probability.

###### 5.4.1. Describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible.

**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**Probability**FreeProbability word problems worksheet. Probability is the measure of how likely an event is. Probability = (Total ways a specific outcome will happen) / (Total number of possible outcomes). The probability of event A is the number of ways event A can occur divided by the total number of possible outcomes. Read more...iWorksheets :4Study Guides :1**Probability**Probability word problems worksheet. Probability is the chance of whether something will happen or not. If two things have an EQUAL chance of happening, they have the
SAME probability. If there are MORE chances of something happening (A) than something else (B), that means there is a HIGHER PROBABILITY of that something (A) happening. Read more...iWorksheets :3Study Guides :1###### 5.4.3. Understand that the measure of the likelihood of an event can be represented by a number from 0 to 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**Probability**FreeProbability word problems worksheet. Probability is the measure of how likely an event is. Probability = (Total ways a specific outcome will happen) / (Total number of possible outcomes). The probability of event A is the number of ways event A can occur divided by the total number of possible outcomes. Read more...iWorksheets :4Study Guides :1**Probability**Probability word problems worksheet. Probability is the chance of whether something will happen or not. If two things have an EQUAL chance of happening, they have the
SAME probability. If there are MORE chances of something happening (A) than something else (B), that means there is a HIGHER PROBABILITY of that something (A) happening. Read more...iWorksheets :3Study Guides :1#### NCTM.11. Grade 5 Curriculum Focal Points

##### 11.1. Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers

###### 11.1.1. Students apply their understanding of models for division, place value, properties, and the relationship of division to multiplication as they develop, discuss, and use efficient, accurate, and generalizable procedures to find quotients involving multi-digit dividends. They select appropriate methods and apply them accurately to estimate quotients or calculate them mentally, depending on the context and numbers involved. They develop fluency with efficient procedures, including the standard algorithm, for dividing whole numbers, understand why the procedures work (on the basis of place value and properties of operations), and use them to solve problems. They consider the context in which a problem is situated to select the most useful form of the quotient for the solution, and they interpret it appropriately.

**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**Division**What Is Division? Division is splitting up numbers into equal parts. The process of finding out how many times one number will go into another number. Division is a series of repeated subtraction. The parts of a division problem include the divisor, dividend, quotient and remainder. Read more...iWorksheets :4Study Guides :1**Division/Multiplication**Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1##### 11.2. Number and Operations: Developing an understanding of and fluency with addition and subtraction of fractions and decimals

###### 11.2.1. Students apply their understandings of fractions and fraction models to represent the addition and subtraction of fractions with unlike denominators as equivalent calculations with like denominators. They apply their understandings of decimal models, place value, and properties to add and subtract decimals. They develop fluency with standard procedures for adding and subtracting fractions and decimals. They make reasonable estimates of fraction and decimal sums and differences. Students add and subtract fractions and decimals to solve problems, including problems involving measurement.

**Add/Subtract Decimals**Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. Read more...iWorksheets :14Study Guides :1Vocabulary :1**Add/Subtract Fractions**Freeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :1**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**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**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##### 11.3. Geometry and Measurement and Algebra: Describing three-dimensional shapes and analyzing their properties, including volume and surface area

###### 11.3.1. Students relate two-dimensional shapes to three-dimensional shapes and analyze properties of polyhedral solids, describing them by the number of edges, faces, or vertices as well as the types of faces. Students recognize volume as an attribute of three-dimensional space. They understand that they can quantify volume by finding the total number of same-sized units of volume that they need to fill the space without gaps or overlaps. They understand that a cube that is 1 unit on an edge is the standard unit for measuring volume. They select appropriate units, strategies, and tools for solving problems that involve estimating or measuring volume. They decompose three-dimensional shapes and find surface areas and volumes of prisms. As they work with surface area, they find and justify relationships among the formulas for the areas of different polygons. They measure necessary attributes of shapes to use area formulas to solve problems.

**Volume**Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1**Measurement**Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. Read more...iWorksheets :6Study Guides :1Vocabulary :2**Measurement**FreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets :8Study Guides :1Vocabulary :3**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 :5Study Guides :1**Units of Measure**When you need to measure an object, you must decide if you are: Measuring
in length, weight, or capacity, choosing the unit that makes sense to measure the object, Measuring in the customary system or the metric system. Read more...iWorksheets :3Study Guides :1#### NCTM.12. Connections to the Grade 5 Focal Points

##### 12.1. Algebra: Students use patterns, models, and relationships as contexts for writing and solving simple equations and inequalities. They create graphs of simple equations. They explore prime and composite numbers and discover concepts related to the addition and subtraction of fractions as they use factors and multiples, including applications of common factors and common multiples. They develop an understanding of the order of operations and use it for all operations.

**Algebra**Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1**Add/Subtract Fractions**Freeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :1**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**Subtracting Fractions**Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. First, make sure the denominators are the same, then subtract the numerators. 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**Number Line**A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1**Add/Subtract Fractions**What Is Addition and Subtraction of Fractions? Addition is combining two or more fractions. The term used for addition is plus. When two or more numbers, or addends, are combined they form a new number called a sum. Subtraction is “taking away” one fraction from another fraction. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :4Study Guides :1**Adding Fractions**Fractions consist of two numbers. The top number is called the numerator.
The bottom number is called the denominator. To add two fractions with the same denominator: Add the numerators and place the sum over the common denominator. Read more...iWorksheets :3Study Guides :1**Order of Operations**Rules of Order of Operations: 1st: Compute all operations inside of parentheses. 2nd: Compute all work with exponents. 3rd: Compute all multiplication and division from left to right. 4th: Compute all addition and subtraction from left to right. Read more...iWorksheets :3Study Guides :1##### 12.2. Measurement: Students'' experiences connect their work with solids and volume to their earlier work with capacity and weight or mass. They solve problems that require attention to both approximation and precision of measurement.

**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 :5Study Guides :1##### 12.3. Data Analysis: Students apply their understanding of whole numbers, fractions, and decimals as they construct and analyze double-bar and line graphs and use ordered pairs on coordinate grids.

**Tables**Tables refer to the different types of diagram used to display data. <br>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**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**Graphs**A graph is a diagram that shows information in an organized way. Read more...iWorksheets :6Study 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**Coordinates**You can use a pair of numbers to describe the location of a
point on a grid. The numbers in the pair are called coordinates. Read more...iWorksheets :3Study Guides :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**Tables and Graphs**What Are Bar, Circle, and Line Graphs? Bar Graphs are used to compare data. A bar graph is used to show relationships between groups. Circle Graphs are also known as Pie graphs or charts. They consist of a circle divided into parts. Line Graphs show gradual changes in data. Read more...iWorksheets :6Study Guides :1##### 12.4. Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).

**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**Multiplication**Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1**Place Value**Place value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets :6Study Guides :1**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**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 :4Study Guides :1**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**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**Odd/Even**A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1**Number Line**A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1**Division**Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1**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**More Multiplication**Multiplication of two digits by two digits. What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding. By multiplying numbers together, you are adding a series of one number to itself. Read more...iWorksheets :3Study Guides :1**Multiplication**What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding by using strategies to
remember what different groups of each number equal. By multiplying numbers together, you are adding a series of one number to itself. The answer to a multiplication problem is called a product. Read more...iWorksheets :7Study Guides :1**Division/Multiplication**Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1 Standards

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