MeanA mean of a group of numbers is the average of those numbers. Read more...iWorksheets: 3Study Guides: 1
DecimalsREADING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets: 5Study Guides: 1Vocabulary Sets: 1
PercentsWhen there are one HUNDRED equal parts of something, you can find a PERCENT. Read more...iWorksheets: 3Study Guides: 1
PerimeterPerimeter is the distance around the outside of an object. Read more...iWorksheets: 10Study Guides: 1Vocabulary Sets: 1
CalendarWhat 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: 9Study Guides: 1
CoordinatesYou 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 AnalysisAnalysis of data is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information. Read more...iWorksheets: 10Study Guides: 1Vocabulary Sets: 1
MeasurementFreeThere 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: 13Study Guides: 1Vocabulary Sets: 3
MoneyFreeWhat 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: 10Study Guides: 1
Represent DataYou can represent data by bar graphs, pictographs and tables. Read more...iWorksheets: 7Study Guides: 1
Tables and GraphsWhat 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: 12Study Guides: 1
TimeFreeCalculate elapsed time in hours and half hours, not crossing AM/PM. Read more...iWorksheets: 31Study Guides: 1
Units of MeasureWhen 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

### CO.4.1. Number Sense, Properties, and Operations

#### 4.1.1. The decimal number system to the hundredths place describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms. Students can:

##### 4.1.1.a. Generalize place value understanding for multi-digit whole numbers (CCSS: 4.NBT)
###### 4.1.1.a.i. Explain that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. (CCSS: 4.NBT.1)
Place ValuePlace value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets :6Study Guides :1
Exponential & Scientific NotationExponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Whole Numbers to MillionsA whole number is a number without fractions. Read more...iWorksheets :5Study Guides :1Vocabulary :1
EstimationWhen you make an estimate, you are making a guess that is approximate. This is often done by rounding. Read more...iWorksheets :6Study Guides :1
Compare and Order NumbersComparing two numbers and deciding which one is greater Read more...iWorksheets :3Study Guides :1
Add/Subtract/Multiply/Divide DecimalsYou add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
Ordering and Comparing NumbersWhen 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 NumbersWhat 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 :4Study Guides :1
Rounding to Nearest 10Rounding 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 NumbersWhat 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 ValueWhat 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 ThanWhat 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 NumbersWhat 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 ValuePlace 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 :10Study Guides :1
Number Words and Place ValueWhen 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
###### 4.1.1.a.ii. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. (CCSS: 4.NBT.2)
Whole Numbers to MillionsA whole number is a number without fractions. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Number Words to 1,000Numbers can be written in word form. Read more...iWorksheets :3Study Guides :1
Place ValueWhat 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 NumbersWhat 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 ValueWhen 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
###### 4.1.1.a.iii. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. (CCSS: 4.NBT.2)
Exponential & Scientific NotationExponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1
AlgebraComparing 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 :4Study Guides :1
Compare and Order NumbersComparing two numbers and deciding which one is greater Read more...iWorksheets :3Study Guides :1
Greater Than/Less ThanIf 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 :4Study Guides :1
Ordering and Comparing NumbersWhen 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 NumbersWhat 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 :4Study Guides :1
Greater Than/Less ThanWhat 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
###### 4.1.1.a.iv. Use place value understanding to round multi-digit whole numbers to any place. (CCSS: 4.NBT.3)
EstimationWhen you make an estimate, you are making a guess that is approximate. This is often done by rounding. Read more...iWorksheets :6Study Guides :1
EstimationFreeEstimation is an approximate calculation. Read more...iWorksheets :4Study Guides :1
RoundingRounding 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
EstimationFreeTo estimate means to make an educated guess based on what you already know. Read more...iWorksheets :4Study Guides :1
Rounding to Nearest 10Rounding 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 NumbersWhat 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
##### 4.1.1.b. Use decimal notation to express fractions, and compare decimal fractions (CCSS: 4.NF)
###### 4.1.1.b.i. 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. (CCSS: 4.NF.5)
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :5Study Guides :1Vocabulary :1
###### 4.1.1.b.ii. Use decimal notation for fractions with denominators 10 or 100. (CCSS: 4.NF.6)
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :5Study Guides :1Vocabulary :1
###### 4.1.1.b.iii. Compare two decimals to hundredths by reasoning about their size. (CCSS: 4.NF.7)
Ordering DecimalsWhen putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Fractions/DecimalsHow to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
Less Than, Greater ThanCompare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1

#### 4.1.2. Different models and representations can be used to compare fractional parts. Students can:

##### 4.1.2.a. Use ideas of fraction equivalence and ordering to: (CCSS: 4.NF)
###### 4.1.2.a.i. Explain equivalence of fractions using drawings and models.
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Fractions/DecimalsHow to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
FractionsThe 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
###### 4.1.2.a.ii. Use the principle of fraction equivalence to recognize and generate equivalent fractions. (CCSS: 4.NF.1)
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Fractions/DecimalsHow to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
FractionsThe 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
###### 4.1.2.a.iii. Compare two fractions with different numerators and different denominators, and justify the conclusions. (CCSS: 4.NF.2)
Compare and Order FractionsWhen comparing two fractions that have a common denominator, you can looks at the numerators to decide which fraction is greater Read more...iWorksheets :4Study Guides :1Vocabulary :1
Ordering FractionsA 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/DecimalsHow to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
Comparing FractionsWhen 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 :5Study Guides :1Vocabulary :1
Less Than, Greater ThanCompare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1
Equivalent Fractions to 1/2Fractions 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
FractionsThe 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
##### 4.1.2.b. Build fractions from unit fractions by applying understandings of operations on whole numbers. (CCSS: 4.NF)
###### 4.1.2.b.i.2. Add and subtract mixed numbers with like denominators. (CCSS: 4.NF.3c)
Add/Subtract FractionsFreeis 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 FractionsFractions 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 FractionsFractions 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
###### 4.1.2.b.i.3. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. (CCSS: 4.NF.3d)
Add/Subtract FractionsFreeis 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
###### 4.1.2.b.ii.1. Express a fraction a/b as a multiple of 1/b. (CCSS: 4.NF.4a)
Add/Subtract DecimalsAddition 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 FractionsFreeis 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
Simplify FractionsSimplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Compare and Order FractionsWhen comparing two fractions that have a common denominator, you can looks at the numerators to decide which fraction is greater Read more...iWorksheets :4Study Guides :1Vocabulary :1
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :5Study Guides :1Vocabulary :1
ProbabilityFreeProbability 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
FractionsFractions can show a part of a group or part of a set. Read more...iWorksheets :6Study Guides :1
ProbabilityProbability 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 FractionsA 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 FractionsFractions 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 LineA number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1
Pattern BlocksA fraction is a part of a whole of something. Read more...iWorksheets :3Study Guides :1
Comparing FractionsWhen 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 :5Study Guides :1Vocabulary :1
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Add/Subtract FractionsWhat 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 1/2Fractions 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
FractionsThe 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 FractionsFractions 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

#### 4.1.3. Formulate, represent, and use algorithms to compute with flexibility, accuracy, and efficiency. Students can:

##### 4.1.3.a. Use place value understanding and properties of operations to perform multi-digit arithmetic. (CCSS: 4.NBT)
###### 4.1.3.a.i. Fluently add and subtract multi-digit whole numbers using standard algorithms. (CCSS: 4.NBT.4)
3 Digit SubtractionWhat 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 PropertyThe commutative property of addition says that we can add numbers in any order and get the same sum. Read more...iWorksheets :3Study Guides :1
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
Commutative/Associative PropertiesUsing 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 :1
Double Digit SubtractionWhat 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/SubtractionAddition 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 :11Study Guides :1
Double Digit AdditionWhat 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
RegroupingWhat 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 PropertyAssociative 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 ProblemsWhat 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 :15Study Guides :1
###### 4.1.3.a.ii. 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. (CCSS: 4.NBT.5)
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Odd/EvenA number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Commutative/Associative PropertiesUsing 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 :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
More MultiplicationMultiplication 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
MultiplicationWhat 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 :10Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :9Study Guides :1
MultiplicationMultiplication 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
###### 4.1.3.a.iii. 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. (CCSS: 4.NBT.6)
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
DivisionWhat 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 :8Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :9Study Guides :1
DivisionFreeWhat 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
###### 4.1.3.a.iv. Illustrate and explain multiplication and division calculation by using equations, rectangular arrays, and/or area models. (CCSS: 4.NBT.6)
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Odd/EvenA number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Commutative/Associative PropertiesUsing 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 :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
More MultiplicationMultiplication 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
MultiplicationWhat 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 :10Study Guides :1
DivisionWhat 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 :8Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :9Study Guides :1
MultiplicationMultiplication 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
DivisionFreeWhat 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
##### 4.1.3.b. Use the four operations with whole numbers to solve problems. (CCSS: 4.OA)
###### 4.1.3.b.ii. Represent verbal statements of multiplicative comparisons as multiplication equations. (CCSS: 4.OA.1)
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
###### 4.1.3.b.iii. Multiply or divide to solve word problems involving multiplicative comparison. (CCSS: 4.OA.2)
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
Problem SolvingWhat 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 :4Study Guides :1
###### 4.1.3.b.iv. 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. (CCSS: 4.OA.3)
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
Problem SolvingWhat 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 :4Study Guides :1
Word ProblemsWhat 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 :15Study Guides :1
###### 4.1.3.b.vii. Using the four operations analyze the relationship between choice and opportunity cost (PFL).
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
Problem SolvingWhat 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 :4Study Guides :1
Word ProblemsWhat 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 :15Study Guides :1

### CO.4.2. Patterns, Functions, and Algebraic Structures

#### 4.2.1. Number patterns and relationships can be represented by symbols. Students can:

##### 4.2.1.a. Generate and analyze patterns and identify apparent features of the pattern that were not explicit in the rule itself. (CCSS: 4.OA.5)
###### 4.2.1.a.i. Use number relationships to find the missing number in a sequence.
PatternsA pattern is an order of things repeated over and over. Read more...iWorksheets :6Study Guides :1
PatternsPatterns in shapes and numbers. Read more...iWorksheets :3Study Guides :1
PatternsA pattern is a recognizable, consistent series of numbers, shapes, or images. Read more...iWorksheets :4Study Guides :1
###### 4.2.1.a.ii. Use a symbol to represent and find an unknown quantity in a problem situation.
AlgebraAlgebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :7Study Guides :1Vocabulary :1
Evaluate Open SentencesAlgebra is a study of the properties of operations on numbers. Algebra generalizes math by using symbols or letters to represent numbers. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
Determine the One Operation FunctionA one operation function is an equation with only one of the following operations: addition, subtraction, multiplication, or division. Read more...iWorksheets :3Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
Open Number SentencesWhat 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
###### 4.2.1.a.iv. Find the unknown in simple equations.
AlgebraAlgebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :7Study Guides :1Vocabulary :1
Evaluate Open SentencesAlgebra is a study of the properties of operations on numbers. Algebra generalizes math by using symbols or letters to represent numbers. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
Determine the One Operation FunctionA one operation function is an equation with only one of the following operations: addition, subtraction, multiplication, or division. Read more...iWorksheets :3Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
Open Number SentencesWhat 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
##### 4.2.1.b. Apply concepts of squares, primes, composites, factors, and multiples to solve problems.
###### 4.2.1.b.i. Find all factor pairs for a whole number in the range 1–100. (CCSS: 4.OA.4)
Common FactorsFactors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets :6Study Guides :1Vocabulary :1
###### 4.2.1.b.ii. Recognize that a whole number is a multiple of each of its factors. (CCSS: 4.OA.4)
Common FactorsFactors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets :6Study Guides :1Vocabulary :1

### CO.4.4. Shape, Dimension, and Geometric Relationships

#### 4.4.1. Appropriate measurement tools, units, and systems are used to measure different attributes of objects and time. Students can:

##### 4.4.1.a. Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. (CCSS: 4.MD)
###### 4.4.1.a.v. Apply the area and perimeter formulas for rectangles in real world and mathematical problems. (CCSS: 4.MD.3)
AreaArea is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1
Area and PerimeterThe 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 :7Study Guides :1
##### 4.4.1.b. Use concepts of angle and measure angles. (CCSS: 4.MD)
###### 4.4.1.b.i. Describe angles as geometric shapes that are formed wherever two rays share a common endpoint, and explain concepts of angle measurement. (CCSS: 4.MD.5)
Lines and AnglesAcute angle: An angle whose measure is less than 90; Right angle: An angle that measures 90; Obtuse angle: An angle whose measure is more than 90 and less than 180; Straight angle: An angle that measures 180; Reflex angle: An angle whose measure is more than 180 and less than 360. There are 3 sets of lines: Intersecting, Perpendicular and Parallel. Read more...iWorksheets :12Study Guides :2Vocabulary :2
AnglesA 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
###### 4.4.1.b.ii. Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. (CCSS: 4.MD.6)
Lines and AnglesAcute angle: An angle whose measure is less than 90; Right angle: An angle that measures 90; Obtuse angle: An angle whose measure is more than 90 and less than 180; Straight angle: An angle that measures 180; Reflex angle: An angle whose measure is more than 180 and less than 360. There are 3 sets of lines: Intersecting, Perpendicular and Parallel. Read more...iWorksheets :12Study Guides :2Vocabulary :2
AnglesA 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

#### 4.4.2. Geometric figures in the plane and in space are described and analyzed by their attributes. Students can:

##### 4.4.2.a. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. (CCSS: 4.G.1)
Lines and AnglesAcute angle: An angle whose measure is less than 90; Right angle: An angle that measures 90; Obtuse angle: An angle whose measure is more than 90 and less than 180; Straight angle: An angle that measures 180; Reflex angle: An angle whose measure is more than 180 and less than 360. There are 3 sets of lines: Intersecting, Perpendicular and Parallel. Read more...iWorksheets :12Study Guides :2Vocabulary :2
AnglesA 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
##### 4.4.2.b. Identify points, line segments, angles, and perpendicular and parallel lines in two-dimensional figures. (CCSS: 4.G.1)
Lines and AnglesAcute angle: An angle whose measure is less than 90; Right angle: An angle that measures 90; Obtuse angle: An angle whose measure is more than 90 and less than 180; Straight angle: An angle that measures 180; Reflex angle: An angle whose measure is more than 180 and less than 360. There are 3 sets of lines: Intersecting, Perpendicular and Parallel. Read more...iWorksheets :12Study Guides :2Vocabulary :2
AnglesA 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
##### 4.4.2.c. Classify and identify two-dimensional figures according to attributes of line relationships or angle size. (CCSS: 4.G.2)
ShapesWe are surrounded by many different kinds of shapes every day. Many shapes are flat. These shapes are two-dimensional plane figures. Read more...iWorksheets :10Study Guides :1
ShapesFreeA shape is the external contour or outline of someone of something Read more...iWorksheets :11Study Guides :1Vocabulary :3
Polygon CharacteristicsA polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets :8Study Guides :1Vocabulary :1
Congruent ShapesFreeCongruent 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
##### 4.4.2.d. Identify a line of symmetry for a two-dimensional figure. (CCSS: 4.G.3)
SymmetrySymmetry is an exact matching of two parts along a fold line. Read more...iWorksheets :4Study Guides :1