**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 Sets: 1**Mean**A mean of a group of numbers is the average of those numbers. Read more...iWorksheets: 3Study Guides: 1**Decimals**READING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1**Percents**When there are one HUNDRED equal parts of something, you can find
a PERCENT. Read more...iWorksheets: 3Study Guides: 1**Perimeter**Perimeter is the distance around the outside of an object. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1**Calendar**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: 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**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 Sets: 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**Time**Calculate elapsed time in hours and half hours, not crossing AM/PM. Read more...iWorksheets: 8Study Guides: 1### MD.MA.4.OA. Operations and Algebraic Thinking (OA)

#### 4.OA.A. Use the four operations with whole numbers to solve problems.

##### 4.OA.A.1. Major Standard: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5x7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

###### 4.OA.A.1.1. Knowledge of and ability to apply understanding of multiplication as repeated addition (2.OA.C.4), as “equal groups of” (3.OA.A.1), and the Commutative Property (3.OA.B.5).

**Commutative Property**The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1##### 4.OA.A.2. Major Standard: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

###### 4.OA.A.2.1. Ability to solve various types of word problems involving multiplication comparison by using drawings (CCSS, Page 89, Table 2) through initial use of concrete materials and pictures, leading to the use of equations as a tool in solutions.

**Problem Solving**What 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 :1###### 4.OA.A.2.2. Ability to represent the solution to multiplicative comparison problems using multiplication or division equations.

##### 4.OA.A.3. Major Standard: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

###### 4.OA.A.3.1. Ability to identify which of the four operations will be used to solve multi-step word problems and accurately represent the problem with the corresponding equations.

**Problem Solving**What 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 :1**Word Problems**What 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 :1###### 4.OA.A.3.2. Ability to use the context of the problem to interpret the remainder of a problem to appropriately determine if it should be discarded, replaced with the next highest whole number answer, or used as the answer to the question.

**Problem Solving**What 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 :1###### 4.OA.A.3.3. Ability to use mental math strategies, properties of operations, relationships between operations, and estimation strategies to solve multistep word problems.

**Problem Solving**What 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 :1**Word Problems**What 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 :1#### 4.OA.B. Gain familiarity with factors and multiples.

##### 4.OA.B.4. Supporting Standard: Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range of 1-100 is prime or composite.

###### 4.OA.B.4.1. Knowledge of multiplication as arrays and its connection to area of rectangles to determine factor pairs.

**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###### 4.OA.B.4.2. Knowledge of and ability to apply multiplication facts to determine multiples of one-digit numbers.

**Multiplication**Multiplication 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 :1#### 4.OA.C. Generate and analyze patterns.

##### 4.OA.C.5. Additional Standard: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

###### 4.OA.C.5.1. Ability to apply knowledge of growing patterns versus repeating patterns using either numbers or shapes.

**Patterns**A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1###### 4.OA.C.5.2. Ability to analyze a set of numbers to identify the pattern given the rule.

**Patterns**A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1###### 4.OA.C.5.3. Ability to extend the pattern based on the rule given or identified.

**Patterns**A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1###### 4.OA.C.5.4. Ability to provide an explanation why numbers will continue an identified pattern.

**Patterns**A pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1**Patterns**A pattern is a recognizable, consistent series of numbers, shapes, or
images. Read more...iWorksheets :4Study Guides :1### MD.MA.4.NBT. Number and Operations in Base Ten (NBT)

#### 4.NBT.A. Generalize place value understanding for multi-digit whole numbers.

##### 4.NBT.A.1. Major Standard: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700÷70 = 10 by applying concepts of place value and division.

###### 4.NBT.A.1.1. Ability to extend knowledge of place value from prior grades (2.NBT.A.1-4, 3.NBT.A.3).

**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**Estimation**When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study Guides :1**Ordering and Comparing Numbers**When 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 :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**Greater Than/Less Than**What 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 :1**Expanding 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**Place Value**Place 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 :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###### 4.NBT.A.1.3. Ability to reason and explain the magnitude of the digits in a number, for example: How is the 8 in the number 685 similar or different to the number 8 in 658.

**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**Estimation**When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study Guides :1**Ordering and Comparing Numbers**When 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 :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**Greater Than/Less Than**What 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 :1**Expanding 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**Place Value**Place 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 :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##### 4.NBT.A.2. Major Standard: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

###### 4.NBT.A.2.1. Ability to flexibly read and write different number forms: base ten numerals (285), extended form (200+80+5), written form (two hundred eight-five).

**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**Expanding 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**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###### 4.NBT.A.2.2. Compare two multi-digit numbers by value of the digits in each place using comparison symbols.

**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**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**Ordering and Comparing Numbers**When 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 :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**Greater Than/Less Than**What 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 :1##### 4.NBT.A.3. Major Standard: Use place value understanding to round multi-digit whole numbers to any place.

###### 4.NBT.A.3.1. This standard requires students to demonstrate the ability to round multi-digit numbers to any place, but goes beyond the procedure of rounding to explain how they rounded.

**Estimation**When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study 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**Estimation**To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1**Rounding to Nearest 10**Rounding 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 :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###### 4.NBT.A.3.2. Ability to use their understanding of place value to reason and explain the answer for a rounding problem.

**Estimation**When you make an estimate, you are making a guess that is approximate.
This is often done by rounding. Read more...iWorksheets :6Study 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**Estimation**To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1**Rounding to Nearest 10**Rounding 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 :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#### 4.NBT.B. Use place value understanding and properties of operations to perform multi-digit arithmetic.

##### 4.NBT.B.4. Major Standard: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

###### 4.NBT.B.4.1. Knowledge of various types of algorithms (CCSS, Page 88, Table 1) to perform multi-digit arithmetic.

**3 Digit Addition**FreeAdding large numbers involves breaking the problem down into smaller addition facts. Read more...iWorksheets :4Study Guides :1**3 Digit Subtraction**What 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 :1**Commutative Property**The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1**Double Digit Subtraction**What 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 :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**Double Digit Addition**What 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 :1**Regrouping**What 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 :1**Associative Property**Associative 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**Word Problems**What 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 :1###### 4.NBT.B.4.2. Ability to apply a standard algorithm in both addition and subtraction problems.

**3 Digit Addition**FreeAdding large numbers involves breaking the problem down into smaller addition facts. Read more...iWorksheets :4Study Guides :1**3 Digit Subtraction**What 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 :1**Commutative Property**The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1**Double Digit Subtraction**What 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 :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**Double Digit Addition**What 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 :1**Regrouping**What 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 :1**Associative Property**Associative 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**Word Problems**What 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 :1##### 4.NBT.B.5. Major Standard: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

###### 4.NBT.B.5.1. Apply to apply knowledge of multiplication and division facts of one digit whole numbers.

**Multiplication**Multiplication 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 :1**Division**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###### 4.NBT.B.5.2. Knowledge of and ability to apply the Properties of Operations (CCSS, Page 90, Table 3).

**Commutative Property**The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1**Associative Property**Associative 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###### 4.NBT.B.5.3. Knowledge of and ability to apply understanding of place value when multiplying multi-digit numbers.

**Multiplication**Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :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**Division/Multiplication**Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1##### 4.NBT.B.6. Major Standard: Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

###### 4.NBT.B.6.1. Ability to apply knowledge of multiplication and division within 100 (3.OA.C.7).

**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**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**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**Multiplication**Multiplication 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 :1**Division**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###### 4.NBT.B.6.2. Ability to use arrays and area models for multiplication and division (3.MD.C.6 & 3.MD.C.7).

**Multiplication**Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :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**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**Multiplication**Multiplication 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 :1**Division**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###### 4.NBT.B.6.3. Knowledge of and ability to apply the Properties of Operations (CCSS, Page 90, Table 3).

**Commutative Property**The commutative property of addition says that we can add numbers
in any order and get the same sum. Read more...iWorksheets :3Study Guides :1**Associative Property**Associative 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### MD.MA.4.NF. Number and Operations – Fractions (NF) (limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100)

#### 4.NF.A. Extend understanding of fraction equivalence and ordering.

##### 4.NF.A.1. Major Standard: Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

###### 4.NF.A.1.1. Ability to use concrete materials to model fraction number concepts and values.

**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**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**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**Percents**A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1**Ratio**Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :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**Fractions**Fractions can show a part of a group or part of a set. Read more...iWorksheets :6Study 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**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**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**Comparing Fractions**When 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 :1**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study 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**Equivalent Fractions to 1/2**Fractions 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 :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###### 4.NF.A.1.2. Knowledge of and ability to generate simple equivalent fractions (3.NF.A.3b).

**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###### 4.NF.A.1.3. Extend work from third grade by using additional denominators 5, 10, 12, and 100.

**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###### 4.NF.A.1.4. Generate a rule for finding equivalent fractions based on conceptual understanding of using models to show equivalent fractions.

**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##### 4.NF.A.2. Major Standard: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, <, and justify the conclusions, e.g., by using a visual fraction model.

###### 4.NF.A.2.1. Ability to apply knowledge factors (4.OA.B.4) to the strategies used to determine equivalent fractions as well as ordering fractions.

**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**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**Comparing Fractions**When 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 :1**Equivalent Fractions to 1/2**Fractions 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 :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###### 4.NF.A.2.2. Ability to apply reasoning such as 5/12 < 1/2 because 6/12 is equivalent to one half so five twelfths is less than one half.

**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**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**Comparing Fractions**When 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 :1**Equivalent Fractions to 1/2**Fractions 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 :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###### 4.NF.A.2.3. Ability to identify the ‘whole’ for the fractions being compared.

**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**Fractions**Fractions can show a part of a group or part of a set. Read more...iWorksheets :6Study 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**Equivalent Fractions to 1/2**Fractions 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 :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###### 4.NF.A.2.4. Ability to compare unlike fractions as stated in this Standard lays the foundation for knowledge of strategies such as finding the Least Common Multiple or the Greatest Common Factor.

**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**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**Comparing Fractions**When 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 :1**Equivalent Fractions to 1/2**Fractions 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 :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#### 4.NF.B. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

##### 4.NF.B.3a. Major Standard: Understand a fraction a/b with a>1 as a sum of fractions 1/b – Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

###### 4.NF.B.3a.1. Ability to use concrete and/or pictorial tools to add and subtract fractions with like denominators.

**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###### 4.NF.B.3a.2. Knowledge that the numerator tells how many parts of the whole we are counting and the denominator tells how many total parts there are in all.

**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**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**Fractions**Fractions can show a part of a group or part of a set. Read more...iWorksheets :6Study 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**Comparing Fractions**When 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 :1**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study 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**Equivalent Fractions to 1/2**Fractions 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 :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###### 4.NF.B.3a.3. Knowledge that when counting parts of a whole, the numerator consecutively changes, the denominator stays the same.

**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**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**Fractions**Fractions can show a part of a group or part of a set. Read more...iWorksheets :6Study 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**Comparing Fractions**When 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 :1**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study 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**Equivalent Fractions to 1/2**Fractions 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 :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###### 4.NF.B.3a.4. Ability to use manipulatives to demonstrate the denominator does not change when adding or subtracting fractions with like denominators.

**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###### 4.NF.B.3a.5. Ability to represent the addition and subtraction of fractions using concrete materials, pictures, numbers, and words.

**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**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 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##### 4.NF.B.3b. Major Standard: Understand a fraction a/b with a>1 as a sum of fractions 1/b – Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition as an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8+1/8+1/8; 3/8 = 1/8+2/8; 2 1/8 = 1+1+1/8; 2 1/8 = 8/8+8/8+1/8.

###### 4.NF.B.3b.1. Ability to represent a whole number as a fraction (e.g.: 1 = 4/4, 6/6, etc.).

**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**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##### 4.NF.B.3c. Major Standard: Understand a fraction a/b with a>1 as a sum of fractions 1/b – Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

###### 4.NF.B.3c.1. Ability to change a mixed number into an improper fraction.

**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**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###### 4.NF.B.3c.2. Ability to add mixed numbers using a strategy such as adding fractions together and then adding the whole numbers together.

**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**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###### 4.NF.B.3c.3. Ability to subtract mixed numbers using a strategy such as replacing each mixed number with an equivalent fraction and then subtracting.

**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**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##### 4.NF.B.3d. Major Standard: Understand a fraction a/b with a>1 as a sum of fractions 1/b – Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

###### 4.NF.B.3d.1. Ability to apply the understanding that the numerator tells us how many parts of the whole we are counting and the denominator tells us how many total parts there are in the whole.

**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**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**Fractions**Fractions can show a part of a group or part of a set. Read more...iWorksheets :6Study 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**Comparing Fractions**When 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 :1**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study 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**Equivalent Fractions to 1/2**Fractions 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 :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#### 4.NF.C. Understand decimal notation for fractions, and compare decimal fractions.

##### 4.NF.C.5. Major Standard: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

###### 4.NF.C.5.1. Knowledge of this Standard provides a foundation for the relationship between fractions and decimals.

**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1###### 4.NF.C.5.2. Knowledge of relationship dimes and dollars.

**Adding Money**Amounts 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 :1**Counting Money**FreeWhat Is Money? Money is what we use to make purchases for our needs and wants. Read more...iWorksheets :8Study Guides :1**Giving Change from $1.00**What 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 :1###### 4.NF.C.5.3. Ability to use place value blocks and grid paper to show and explain the equivalence.

**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1##### 4.NF.C.6. Major Standard: Use decimal notation for fractions with denominators 10 and 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

###### 4.NF.C.6.1. See the skills and knowledge that are stated in the Standard and in standard 4.NF.C.5.

**Percents**A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1**Decimals/Fractions**Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1##### 4.NF.C.7. Major Standard: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, <, and justify the conclusions, e.g., by using a visual model.

###### 4.NF.C.7.1. Ability to apply knowledge of place value as a strategy to compare decimals.

**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**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### MD.MA.4.MD. Measurement and Data (MD)

#### 4.MD.A. Solve problems involving measurement and conversion of measurements for a larger unit to a smaller unit.

##### 4.MD.A.1. Supporting Standard: Know relative sizes of measurement units within one system of units including km, m, cm, kg, g; lb., oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs: (1, 12), (2, 24), (3, 36)…

###### 4.MD.A.1.1. Knowledge of capacity units should also include cups, pints, quarts, and gallons.

**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**Measurement**Measurement 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 :2**Units of Measure**What are Units of Measurement? People measure mass, volume, and length. These measurements are labeled with appropriate unit of measurement. Read more...iWorksheets :4Study Guides :1**Determine Appropriate Standard of Units**What 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.MD.A.1.3. Ability to use visual aids with conversion of measurement.

**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.MD.A.2. Supporting Standard: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

###### 4.MD.A.2.1. Ability to use visual aids with conversion of measurement.

**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.MD.A.2.2. Knowledge of systems of measurement, fractions, decimals, and equivalent units of measurement.

**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**Units of Measure**What are Units of Measurement? People measure mass, volume, and length. These measurements are labeled with appropriate unit of measurement. Read more...iWorksheets :4Study Guides :1**Determine Appropriate Standard of Units**What 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.MD.A.3. Supporting Standard: Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formulas as a multiplication equation with an unknown factor.

###### 4.MD.A.3.2. Ability to apply knowledge of factors, finding an unknown factor in an equation, and the relationship between multiplication and area.

**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**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.MD.B. Represent and interpret data.

##### 4.MD.B.4. Supporting Standard: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.

###### 4.MD.B.4.1. See the skills and knowledge that are stated in the Standard.

**Statistics**The statistical mode is the number that occurs most frequently in a set of
numbers. 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**Graphs and Charts**What Are Graphs? A way to show information in the form of shapes or pictures. Graphs show the relationship between two sets of information. There are many different types of graphs. A few of them include bar graphs, line graphs, pictographs, and circle graphs. Read more...iWorksheets :6Study Guides :1Vocabulary :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**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#### 4.MD.C. Geometric measurement: understand concepts of angle and measure angles.

##### 4.MD.C.5. Additional Standard: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.

###### 4.MD.C.5.1. See 4.MD.C.5a-4.MD.C.5b for the skills and knowledge that are needed for this Standard.

**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##### 4.MD.C.5a. Additional Standard: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement – An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of the circle is called a “one-degree angle,” and can be used to measure angles.

###### 4.MD.C.5a.1. Knowledge of partitioning circles into equal shares (2.G.A.3).

**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###### 4.MD.C.5a.2. Ability to relate understanding of equal shares of a circle to angles.

**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###### 4.MD.C.5a.3. Ability to use visual aids and/or technology to apply the understanding of how a circle is divided into 360 degrees (e.g., circle protractor or geometry software).

**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###### 4.MD.C.5a.4. Introduce the unit of measurement of a circle (degrees). Students need to understand that a whole circle is 360 degrees by taking a circle and dividing it into 1/2, 1/4, 1/8, etc. so that 1/2 is 360 divided by 4, etc.

**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##### 4.MD.C.5b. Additional Standard: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement – An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

###### 4.MD.C.5b.1. Knowledge that each angle measure is a result of how much of the circle is covered (e.g., shading in 50 parts of the 360 would equal a 50 degree angle).

**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##### 4.MD.C.6. Additional Standard: Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

###### 4.MD.C.6.1. See the skills and knowledge that are stated in the Standard.

**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### MD.MA.4.G. Geometry (G)

#### 4.G.A. Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

##### 4.G.A.1. Additional Standard: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

###### 4.G.A.1.1. This is the first time these terms are introduced.

**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###### 4.G.A.1.2. Ability to apply a deep understanding of this vocabulary will assist with drawing and identifying these shapes within two- dimensional figures.

**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##### 4.G.A.2. Additional Standard: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

###### 4.G.A.2.1. Ability to use concrete materials to model the lines and angles of two-dimensional figures to provide visual evidence of the relationship between various figures.

**Shapes**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 :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**Congruent Shapes**FreeCongruent 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##### 4.G.A.3. Additional Standard: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

###### 4.G.A.3.1. See the skills and knowledge that are stated in the Standard.

**Symmetry**Symmetry is an exact matching of two parts along a fold line. Read more...iWorksheets :4Study Guides :1###### 4.G.A.3.2. This is the first exposure to symmetry in the Common Core.

**Symmetry**Symmetry is an exact matching of two parts along a fold line. Read more...iWorksheets :4Study Guides :1 Standards

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