What Is Elapsed Time? Elapsed time is the amount of time from the start of an activity to the end of the activity. It tells how long an activity lasted. Elapsed time can be measured in seconds, minutes, hours, days or weeks. Read more...iWorksheets: 3Study Guides: 1A mean of a group of numbers is the average of those numbers. Read more...iWorksheets: 3Study Guides: 1What Is Problem Solving? Problem solving is finding an answer to a question. How to Problem Solve: Read the problem carefully. Decide on an operation to use to solve the problem. Solve the problem. Check your work and make sure that your answer makes sense. Read more...iWorksheets: 3Study Guides: 1You can represent data by bar graphs, pictographs and tables. Read more...iWorksheets: 3Study Guides: 1What 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: 1Calculate elapsed time in hours and half hours, not crossing AM/PM. Read more...iWorksheets: 7Study Guides: 1### N.1. Number and Operations (NCTM)

#### 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 is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets :6Study Guides :1Exponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1Comparing 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 :1When putting decimals in order from least to greatest, we must look at
the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1A whole number is a number without fractions. Read more...iWorksheets :3Study Guides :1Vocabulary :1When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study Guides :1Comparing two numbers and deciding which one is greater Read more...iWorksheets :3Study Guides :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1If 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 :1You 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 :1When you order numbers, you are putting the numbers in a sequence from the smallest value to the largest value. When you compare two numbers, you are finding which number is larger or smaller than the other. Read more...iWorksheets :5Study Guides :1Vocabulary :1Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1What 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 :1Rounding makes numbers easier to work with if you do not need an exact number. Rounded numbers are only approximate. You can use rounded numbers to get an answer that is close but does not have to be exact. Read more...iWorksheets :3Study Guides :1What 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 :1What 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 :1What Is Greater Than and Less Than? When a number is greater than another number, this means it is a larger number. The symbol for greater than is >. When a number is less than another number, this means it is a smaller number. The symbol for less than is <. Read more...iWorksheets :6Study Guides :1What Are Expanding Numbers? An expanding number is taking a larger number apart and showing each number’s total value. Number 5398 in expanded form is 5000 + 300 + 90 + 8. Read more...iWorksheets :3Study Guides :1Place value is what each digit is worth. In the number 4,573 there are four thousands, five hundreds, seven tens, and three ones. How to Find the Place Value: In order to find the place value of a number, you can count the number of places from the right. The first number will be the ones place. The next number moving towards the left would be the tens place, and so on. Read more...iWorksheets :7Study Guides :1When 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 ##### 1.1.2. Recognize equivalent representations for the same number and generate them by decomposing and composing numbers.

What Are Expanding Numbers? An expanding number is taking a larger number apart and showing each number’s total value. Number 5398 in expanded form is 5000 + 300 + 90 + 8. 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.

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 :1Freeis 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 :1Simplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets :3Study Guides :1Vocabulary :1When 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 :1Equivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1FreeProbability 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 :1Fractions can show a part of a group or part of a set. Read more...iWorksheets :6Study Guides :1Probability 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 :1A 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 :1Fractions 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 :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1A fraction is a part of a whole of something. Read more...iWorksheets :3Study Guides :1When comparing fractions, you are finding which fraction is greater and which fractions is less than the other. Similar to comparing numbers, there are symbols to use when comparing fractions. Read more...iWorksheets :4Study Guides :1Vocabulary :1Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1What 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 :1Fractions that are equivalent to ½ are fractions that have different denominators than ½, but still show half. Fractions that are equivalent to ½ can be simplified to ½. Fractions equivalent to ½ have an even number as their denominator. Read more...iWorksheets :3Study Guides :1The 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 :1Fractions 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.

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 :1A 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 :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1When comparing fractions, you are finding which fraction is greater and which fractions is less than the other. Similar to comparing numbers, there are symbols to use when comparing fractions. Read more...iWorksheets :4Study Guides :1Vocabulary :1Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1Fractions that are equivalent to ½ are fractions that have different denominators than ½, but still show half. Fractions that are equivalent to ½ can be simplified to ½. Fractions equivalent to ½ have an even number as their denominator. Read more...iWorksheets :3Study Guides :1The 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.

A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1Equivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1The 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 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 :1A 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 is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1 ##### 1.2.2. Understand the effects of multiplying and dividing whole numbers.

What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1 ##### 1.2.3. Identify and use relationships between operations, such as division as the inverse of multiplication, to solve problems.

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

The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1Using the Commutative Property in addition means that the order of
addends does not matter; the sum will remain the same. Read more...iWorksheets :3Study Guides :1Associative Property of Addition explains that when three or more numbers are added, the sum is the same regardless of the order in which the numbers are grouped and/or added. Read more...iWorksheets :3Study 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.

Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1Multiplication is similar to adding a number to itself a certain number of times.
When multiplying an odd number with an odd number, the product is always an odd number. When multiplying an odd number with an even number or two even numbers, the product is always an even number. Read more...iWorksheets :19Study Guides :1What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1 ##### 1.3.2. Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1FreeAdding large numbers involves breaking the problem down into smaller addition facts. Read more...iWorksheets :4Study Guides :1What Is Three-Digit Subtraction? We subtract to compare numbers. We are able to find the difference between numbers through subtraction. We use subtraction to find out how much more we have or how much smaller something is in comparison to another number. Read more...iWorksheets :3Study Guides :1A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1Some word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1Using the Commutative Property in addition means that the order of
addends does not matter; the sum will remain the same. Read more...iWorksheets :3Study Guides :1FreeAdding four digit numbers. Read more...iWorksheets :3Study Guides :1Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1What Is Double Digit Subtraction? Double digit subtraction is taking a number with two digits (ex. 23) and subtracting it from another two digit number (ex. 33). The answer is known as the difference. Read more...iWorksheets :4Study Guides :1Multiplication 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 :1What 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 :1Addition 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 :3Study Guides :1What 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 :1Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1What Is Double Digit Addition? Double digit addition is taking a two digit number (ex. 32) and adding it to another two digit number (ex. 27). The answer of these two addends is known as the sum. Read more...iWorksheets :4Study Guides :1What Is Regrouping? Regrouping in addition is used when the sum of the ones place is larger than nine. The tens place of the sum is moved to the top of the tens place column to be added with the others. Read more...iWorksheets :3Study Guides :1Associative Property of Addition explains that when three or more numbers are added, the sum is the same regardless of the order in which the numbers are grouped and/or added. Read more...iWorksheets :3Study Guides :1Multiplication is similar to adding a number to itself a certain number of times.
When multiplying an odd number with an odd number, the product is always an odd number. When multiplying an odd number with an even number or two even numbers, the product is always an even number. Read more...iWorksheets :19Study Guides :1What Are Story Problems? Story problems are a bunch of sentences set up to give you
information in order to solve a problem. Story problems most often give you all the information needed to solve the problem. They may even include information you do not need at all. Read more...iWorksheets :7Study Guides :1What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. 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.

When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study Guides :1To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1 ##### 1.3.5. Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and 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 :1Freeis 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 :1Fractions 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 :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1You 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 :1What 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 :1Fractions 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 is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study Guides :1FreeAdding large numbers involves breaking the problem down into smaller addition facts. Read more...iWorksheets :4Study Guides :1What Is Three-Digit Subtraction? We subtract to compare numbers. We are able to find the difference between numbers through subtraction. We use subtraction to find out how much more we have or how much smaller something is in comparison to another number. Read more...iWorksheets :3Study Guides :1A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1Some word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1Using the Commutative Property in addition means that the order of
addends does not matter; the sum will remain the same. Read more...iWorksheets :3Study Guides :1FreeAdding four digit numbers. Read more...iWorksheets :3Study Guides :1Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1What Is Double Digit Subtraction? Double digit subtraction is taking a number with two digits (ex. 23) and subtracting it from another two digit number (ex. 33). The answer is known as the difference. Read more...iWorksheets :4Study Guides :1Multiplication 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 :1What 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 :1Addition 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 :3Study Guides :1What 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 :1Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1What Is Double Digit Addition? Double digit addition is taking a two digit number (ex. 32) and adding it to another two digit number (ex. 27). The answer of these two addends is known as the sum. Read more...iWorksheets :4Study Guides :1What Is Regrouping? Regrouping in addition is used when the sum of the ones place is larger than nine. The tens place of the sum is moved to the top of the tens place column to be added with the others. Read more...iWorksheets :3Study Guides :1Associative Property of Addition explains that when three or more numbers are added, the sum is the same regardless of the order in which the numbers are grouped and/or added. Read more...iWorksheets :3Study Guides :1Multiplication is similar to adding a number to itself a certain number of times.
When multiplying an odd number with an odd number, the product is always an odd number. When multiplying an odd number with an even number or two even numbers, the product is always an even number. Read more...iWorksheets :19Study Guides :1What Are Story Problems? Story problems are a bunch of sentences set up to give you
information in order to solve a problem. Story problems most often give you all the information needed to solve the problem. They may even include information you do not need at all. Read more...iWorksheets :7Study Guides :1What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1 ### N.2. Algebra (NCTM)

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

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

A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1Patterns in shapes and numbers. Read more...iWorksheets :3Study Guides :1A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :3Study Guides :1 ##### 2.1.2. Represent and analyze patterns and functions, using words, tables, and graphs.

A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1Patterns in shapes and numbers. Read more...iWorksheets :3Study Guides :1A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :3Study 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.

The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1Using the Commutative Property in addition means that the order of
addends does not matter; the sum will remain the same. Read more...iWorksheets :3Study Guides :1Associative Property of Addition explains that when three or more numbers are added, the sum is the same regardless of the order in which the numbers are grouped and/or added. Read more...iWorksheets :3Study Guides :1 ##### 2.2.3. Express mathematical relationships using equations.

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 :1Some word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1A one operation function is an equation with only one of the
following operations: addition, subtraction, multiplication, or
division. Read more...iWorksheets :3Study Guides :1Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1What Are Open Number Sentences? Open number sentences are equations that give one part of the equation along with the answer. In order to solve an open number
sentence, the inverse operation is used. 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.

A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1Addition 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 :1Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1Freeis 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 :1Simplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets :3Study Guides :1Vocabulary :1Place value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets :6Study Guides :1Exponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1Algebra 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 :1Comparing 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 :1When putting decimals in order from least to greatest, we must look at
the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1When 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 :1Factors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets :3Study Guides :1Vocabulary :1A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1A whole number is a number without fractions. Read more...iWorksheets :3Study Guides :1Vocabulary :1When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study Guides :1Equivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1Comparing two numbers and deciding which one is greater Read more...iWorksheets :3Study Guides :1Estimation is an approximate calculation. Read more...iWorksheets :3Study Guides :1Rounding 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 :1Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :1Numbers can be written in word form. Read more...iWorksheets :3Study Guides :1Amounts of money may be written in several different ways. Cents may be written with the ¢ sign and dollars can be written with the dollar sign ($). When we add money, we add the amounts and place the correct sign on the sum. Read more...iWorksheets :4Study Guides :1FreeAdding large numbers involves breaking the problem down into smaller addition facts. Read more...iWorksheets :4Study Guides :1What Is Three-Digit Subtraction? We subtract to compare numbers. We are able to find the difference between numbers through subtraction. We use subtraction to find out how much more we have or how much smaller something is in comparison to another number. Read more...iWorksheets :3Study Guides :1FreeProbability 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 :1Fractions can show a part of a group or part of a set. Read more...iWorksheets :6Study Guides :1Probability 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 :1Patterns in shapes and numbers. Read more...iWorksheets :3Study Guides :1Positive 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 :1A 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 :1Fractions 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 :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1FreeWhat 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 :1FreeWhat Is Money? Money is what we use to make purchases for our needs and wants. Read more...iWorksheets :8Study Guides :1The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1Some word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1If 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 :1To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1You can skip count by large numbers such as 25, 50 or 100. Skip counting
allows you to count by large numbers following a pattern. Read more...iWorksheets :3Study Guides :1Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1Using the Commutative Property in addition means that the order of
addends does not matter; the sum will remain the same. Read more...iWorksheets :3Study Guides :1FreeAdding four digit numbers. Read more...iWorksheets :3Study Guides :1A fraction is a part of a whole of something. Read more...iWorksheets :3Study Guides :1When comparing fractions, you are finding which fraction is greater and which fractions is less than the other. Similar to comparing numbers, there are symbols to use when comparing fractions. Read more...iWorksheets :4Study Guides :1Vocabulary :1A one operation function is an equation with only one of the
following operations: addition, subtraction, multiplication, or
division. Read more...iWorksheets :3Study Guides :1READING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :3Study Guides :1Vocabulary :1You 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 :1A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :3Study Guides :1When you order numbers, you are putting the numbers in a sequence from the smallest value to the largest value. When you compare two numbers, you are finding which number is larger or smaller than the other. Read more...iWorksheets :5Study Guides :1Vocabulary :1Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1What 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 :1Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1When there are one HUNDRED equal parts of something, you can find
a PERCENT. Read more...iWorksheets :3Study Guides :1Rounding makes numbers easier to work with if you do not need an exact number. Rounded numbers are only approximate. You can use rounded numbers to get an answer that is close but does not have to be exact. Read more...iWorksheets :3Study Guides :1What Is Double Digit Subtraction? Double digit subtraction is taking a number with two digits (ex. 23) and subtracting it from another two digit number (ex. 33). The answer is known as the difference. Read more...iWorksheets :4Study Guides :1What 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 :1What 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 :1Multiplication 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 :1What 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 :1What 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 :1Addition 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 :3Study Guides :1What 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 :1Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1What Is Double Digit Addition? Double digit addition is taking a two digit number (ex. 32) and adding it to another two digit number (ex. 27). The answer of these two addends is known as the sum. Read more...iWorksheets :4Study Guides :1What Is Giving Change? Change is the money you receive back when you purchase an item and give the cashier more than the item cost. To figure out the change you will receive from a purchase, simply subtract the total amount of the purchase from the amount you are giving the cashier. Read more...iWorksheets :4Study Guides :1What Is Regrouping? Regrouping in addition is used when the sum of the ones place is larger than nine. The tens place of the sum is moved to the top of the tens place column to be added with the others. Read more...iWorksheets :3Study Guides :1Associative Property of Addition explains that when three or more numbers are added, the sum is the same regardless of the order in which the numbers are grouped and/or added. Read more...iWorksheets :3Study Guides :1Fractions that are equivalent to ½ are fractions that have different denominators than ½, but still show half. Fractions that are equivalent to ½ can be simplified to ½. Fractions equivalent to ½ have an even number as their denominator. Read more...iWorksheets :3Study Guides :1What is odd number? An odd number is a number that will have a leftover when divided into two equal groups. What is even number? An even number is a number that can be divided into two equal groups without any leftovers. Read more...iWorksheets :6Study Guides :1What Are Open Number Sentences? Open number sentences are equations that give one part of the equation along with the answer. In order to solve an open number
sentence, the inverse operation is used. Read more...iWorksheets :3Study Guides :1Multiplication is similar to adding a number to itself a certain number of times.
When multiplying an odd number with an odd number, the product is always an odd number. When multiplying an odd number with an even number or two even numbers, the product is always an even number. Read more...iWorksheets :19Study Guides :1What Is Greater Than and Less Than? When a number is greater than another number, this means it is a larger number. The symbol for greater than is >. When a number is less than another number, this means it is a smaller number. The symbol for less than is <. Read more...iWorksheets :6Study Guides :1What Are Expanding Numbers? An expanding number is taking a larger number apart and showing each number’s total value. Number 5398 in expanded form is 5000 + 300 + 90 + 8. Read more...iWorksheets :3Study Guides :1What Are Story Problems? Story problems are a bunch of sentences set up to give you
information in order to solve a problem. Story problems most often give you all the information needed to solve the problem. They may even include information you do not need at all. Read more...iWorksheets :7Study Guides :1Place value is what each digit is worth. In the number 4,573 there are four thousands, five hundreds, seven tens, and three ones. How to Find the Place Value: In order to find the place value of a number, you can count the number of places from the right. The first number will be the ones place. The next number moving towards the left would be the tens place, and so on. Read more...iWorksheets :7Study Guides :1What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1The 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 :1When 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 :1Fractions 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 :1Rules 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.

A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1Patterns in shapes and numbers. Read more...iWorksheets :3Study Guides :1A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :3Study Guides :1 ### N.3. Geometry (NCTM)

#### 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.

We are surrounded by many different kinds of shapes every day. Many shapes are flat. These shapes are two-dimensional plane figures. Read more...iWorksheets :5Study Guides :1A 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 :1You 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 :1FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3There are 3 sets of lines and 4 sets of angles. Read more...iWorksheets :6Study Guides :1Vocabulary :2A polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets :7Study Guides :1Vocabulary :1What 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 :1You can use solid shapes to help describe real-world objects.
These shapes have surfaces called faces. Read more...iWorksheets :4Study Guides :1Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1Figures are congruent if they are identical in every way except for their
position. Read more...iWorksheets :3Study Guides :1The 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 :1Symmetry is an exact matching of two parts along a fold line. Read more...iWorksheets :4Study Guides :1Perimeter is the distance around the outside of an object. Read more...iWorksheets :3Study Guides :1Vocabulary :1FreeCongruent shapes are shapes that are the exact same shape and size. Congruent shapes can be rotated or reflected. When 2 shapes are congruent, they have the exact same size and shape. Read more...iWorksheets :4Study Guides :1Vocabulary :1A 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 :1What Is Perimeter? The perimeter is the measurement of the distance around the
outside of a shape or object. To find the perimeter of a shape or object, simply add the outside dimensions together. 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.

We are surrounded by many different kinds of shapes every day. Many shapes are flat. These shapes are two-dimensional plane figures. Read more...iWorksheets :5Study Guides :1FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3A polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets :7Study Guides :1Vocabulary :1You can use solid shapes to help describe real-world objects.
These shapes have surfaces called faces. Read more...iWorksheets :4Study Guides :1FreeCongruent shapes are shapes that are the exact same shape and size. Congruent shapes can be rotated or reflected. When 2 shapes are congruent, they have the exact same size and shape. Read more...iWorksheets :4Study Guides :1Vocabulary :1 ##### 3.1.4. Explore congruence and similarity.

Figures are congruent if they are identical in every way except for their
position. Read more...iWorksheets :3Study Guides :1FreeCongruent shapes are shapes that are the exact same shape and size. Congruent shapes can be rotated or reflected. When 2 shapes are congruent, they have the exact same size and shape. Read more...iWorksheets :4Study Guides :1Vocabulary :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.

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 :1You 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 ##### 3.2.2. Make and use coordinate systems to specify locations and to describe paths.

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 :1You 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 :1Using 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 #### 3.3. Apply transformations and use symmetry to analyze mathematical situations.

##### 3.3.3. Identify and describe line and rotational symmetry in two- and three-dimensional shapes and designs.

Symmetry is an exact matching of two parts along a fold line. Read more...iWorksheets :4Study Guides :1 #### 3.4. Use visualization, spatial reasoning, and geometric modeling to solve problems.

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

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.

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 :1What 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 :1Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1The 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 :1Perimeter is the distance around the outside of an object. Read more...iWorksheets :3Study Guides :1Vocabulary :1What Is Perimeter? The perimeter is the measurement of the distance around the
outside of a shape or object. To find the perimeter of a shape or object, simply add the outside dimensions together. 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.

We are surrounded by many different kinds of shapes every day. Many shapes are flat. These shapes are two-dimensional plane figures. Read more...iWorksheets :5Study Guides :1FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3You can use solid shapes to help describe real-world objects.
These shapes have surfaces called faces. Read more...iWorksheets :4Study Guides :1FreeCongruent shapes are shapes that are the exact same shape and size. Congruent shapes can be rotated or reflected. When 2 shapes are congruent, they have the exact same size and shape. Read more...iWorksheets :4Study Guides :1Vocabulary :1 ### N.4. Measurement (NCTM)

#### 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.

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 :2FreeThere 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 :7Study Guides :1Vocabulary :3What 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 :1Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1When 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 :1The 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 :1Measurement is the use of units to show size, length, weight, or capacity.There are customary measurements and metric measurements. Read more...iWorksheets :9Study Guides :1Vocabulary :2What are Units of Measurement? People measure mass, volume, and length. These measurements are labeled with appropriate unit of measurement. Read more...iWorksheets :4Study Guides :1What are the Standard of Units? When measuring objects or distances, there are certain measurements of length, distance, weight, and capacity that should be used. There are customary standard of units and metric standard of units. Read more...iWorksheets :3Study 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 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 :2FreeThere 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 :7Study Guides :1Vocabulary :3When 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 :1What are Units of Measurement? People measure mass, volume, and length. These measurements are labeled with appropriate unit of measurement. Read more...iWorksheets :4Study Guides :1What are the Standard of Units? When measuring objects or distances, there are certain measurements of length, distance, weight, and capacity that should be used. There are customary standard of units and metric standard of units. 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.

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 ##### 4.1.4. Understand that measurements are approximations and how differences in units affect precision.

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 :2FreeThere 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 :7Study Guides :1Vocabulary :3When 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 :1Measurement is the use of units to show size, length, weight, or capacity.There are customary measurements and metric measurements. Read more...iWorksheets :9Study Guides :1Vocabulary :2What are Units of Measurement? People measure mass, volume, and length. These measurements are labeled with appropriate unit of measurement. Read more...iWorksheets :4Study Guides :1What are the Standard of Units? When measuring objects or distances, there are certain measurements of length, distance, weight, and capacity that should be used. There are customary standard of units and metric standard of units. 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 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 :2FreeThere 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 :7Study Guides :1Vocabulary :3What 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 :1When 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 :1Measurement is the use of units to show size, length, weight, or capacity.There are customary measurements and metric measurements. Read more...iWorksheets :9Study Guides :1Vocabulary :2What are Units of Measurement? People measure mass, volume, and length. These measurements are labeled with appropriate unit of measurement. Read more...iWorksheets :4Study Guides :1What are the Standard of Units? When measuring objects or distances, there are certain measurements of length, distance, weight, and capacity that should be used. There are customary standard of units and metric standard of units. Read more...iWorksheets :3Study Guides :1What Is Temperature? Temperature is the measure of how hot or cold something is. Temperature is measured with a thermometer. Temperature is measured in degrees Celsius (ºC) or degrees Fahrenheit (ºF). 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 is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1The 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 ### N.5. Data Analysis and Probability (NCTM)

#### 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.

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.

Analysis of data is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information. Read more...iWorksheets :3Study Guides :1Vocabulary :1The 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.

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 :1Probability 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 :1What Is Probability? Probability is the chance that a particular event will occur. There are four different ways to show the probability: One way is to show the certainty: certain, likely, somewhat likely, not likely, impossible. The other three ways are with numbers. Probability word problems worksheet. Read more...iWorksheets :6Study 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.

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 :1Probability 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 :1What Is Probability? Probability is the chance that a particular event will occur. There are four different ways to show the probability: One way is to show the certainty: certain, likely, somewhat likely, not likely, impossible. The other three ways are with numbers. Probability word problems worksheet. Read more...iWorksheets :6Study Guides :1 ### N.11. Grade 4 Curriculum Focal Points (NCTM)

#### 11.1. Number and Operations and Algebra: Developing quick recall of multiplication facts and related division facts and fluency with whole number multiplication

##### 11.1.1. Students use understandings of multiplication to develop quick recall of the basic multiplication facts and related division facts. They apply their understanding of models for multiplication (i.e., equal-sized groups, arrays, area models, equal intervals on the number line), place value, and properties of operations (in particular, the distributive property) as they develop, discuss, and use efficient, accurate, and generalizable methods to multiply multi-digit whole numbers. They select appropriate methods and apply them accurately to estimate products or calculate them mentally, depending on the context and numbers involved. They develop fluency with efficient procedures, including the standard algorithm, for multiplying whole numbers, understand why the procedures work (on the basis of place value and properties of operations), and use them to solve problems.

Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1Estimation is an approximate calculation. Read more...iWorksheets :3Study Guides :1A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1Some word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1Using the Commutative Property in addition means that the order of
addends does not matter; the sum will remain the same. Read more...iWorksheets :3Study Guides :1Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1Multiplication 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 :1What 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 :1Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1Multiplication is similar to adding a number to itself a certain number of times.
When multiplying an odd number with an odd number, the product is always an odd number. When multiplying an odd number with an even number or two even numbers, the product is always an even number. Read more...iWorksheets :19Study Guides :1What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1 #### 11.2. Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals

##### 11.2.1. Students understand decimal notation as an extension of the base-ten system of writing whole numbers that is useful for representing more numbers, including numbers between 0 and 1, between 1 and 2, and so on. Students relate their understanding of fractions to reading and writing decimals that are greater than or less than 1, identifying equivalent decimals, comparing and ordering decimals, and estimating decimal or fractional amounts in problem solving. They connect equivalent fractions and decimals by comparing models to symbols and locating equivalent symbols on the number line.

When putting decimals in order from least to greatest, we must look at
the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1READING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :3Study Guides :1Vocabulary :1You 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 :1Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1 #### 11.3. Measurement: Developing an understanding of area and determining the areas of two-dimensional shapes

##### 11.3.1. Students recognize area as an attribute of two-dimensional regions. They learn that they can quantify area by finding the total number of same-sized units of area that cover the shape without gaps or overlaps. They understand that a square that is 1 unit on a side is the standard unit for measuring area. They select appropriate units, strategies (e.g., decomposing shapes), and tools for solving problems that involve estimating or measuring area. Students connect area measure to the area model that they have used to represent multiplication, and they use this connection to justify the formula for the area of a rectangle.

Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1The 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 ### N.12. Connections to the Grade 4 Focal Points (NCTM)

#### 12.1. Algebra: Students continue identifying, describing, and extending numeric patterns involving all operations and nonnumeric growing or repeating patterns. Through these experiences, they develop an understanding of the use of a rule to describe a sequence of numbers or objects.

A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1Patterns in shapes and numbers. Read more...iWorksheets :3Study Guides :1A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :3Study Guides :1 #### 12.2. Geometry: Students extend their understanding of properties of two-dimensional shapes as they find the areas of polygons. They build on their earlier work with symmetry and congruence in grade 3 to encompass transformations, including those that produce line and rotational symmetry. By using transformations to design and analyze simple tilings and tessellations, students deepen their understanding of two-dimensional space.

Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1The 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 :1Symmetry is an exact matching of two parts along a fold line. Read more...iWorksheets :4Study Guides :1 #### 12.3. Measurement: As part of understanding two-dimensional shapes, students measure and classify angles.

There are 3 sets of lines and 4 sets of angles. Read more...iWorksheets :6Study Guides :1Vocabulary :2A 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 #### 12.4. Data Analysis: Students continue to use tools from grade 3, solving problems by making frequency tables, bar graphs, picture graphs, and line plots. They apply their understanding of place value to develop and use stem-and-leaf plots.

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 #### 12.5. Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. Students develop understandings of strategies for multi-digit division by using models that represent division as the inverse of multiplication, as partitioning, or as successive subtraction. By working with decimals, students extend their ability to recognize equivalent fractions. Students' earlier work in grade 3 with models of fractions and multiplication and division facts supports their understanding of techniques for generating equivalent fractions and simplifying 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 :1Simplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets :3Study Guides :1Vocabulary :1Place value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets :6Study Guides :1A whole number is a number without fractions. Read more...iWorksheets :3Study Guides :1Vocabulary :1When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study Guides :1Equivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1Comparing two numbers and deciding which one is greater Read more...iWorksheets :3Study Guides :1FreeProbability 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 :1Probability 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 :1Fractions 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 :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1What 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 :1Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1The 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 :1When 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 :1Fractions 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 Standards

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