Maryland College and Career-Ready Standards for Fifth Grade Math

Common FactorsFactors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1
EstimationFreeEstimation is an approximate calculation. Read more...iWorksheets: 4Study Guides: 1
Positive & Negative IntegersPositive integers are all the whole numbers greater than zero. Negative integers are all the opposites of these whole numbers, numbers that are less than zero. Zero is considered neither positive nor negative Read more...iWorksheets: 4Study Guides: 1
RatioRatios are used to make a comparison between two things. Read more...iWorksheets: 7Study Guides: 1Vocabulary Sets: 1
StatisticsThe statistical mode is the number that occurs most frequently in a set of numbers. Read more...iWorksheets: 3Study Guides: 1
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
AreaArea is the number of square units needed to cover a flat surface. Read more...iWorksheets: 3Study Guides: 1
Congruent ShapesFigures are congruent if they are identical in every way except for their position. Read more...iWorksheets: 3Study Guides: 1
PerimeterA polygon is any 2-dimensional shape formed with straight lines. The perimeter of a polygon is the sum of all its length. Read more...iWorksheets: 6Study Guides: 1
Data AnalysisCollecting 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
Elapsed TimeElapsed time is the amount of time that has passed between two defined times. Read more...iWorksheets: 5Study Guides: 1

MD.MA.5.OA. Operations and Algebraic Thinking (OA)

5.OA.A. Write and interpret numerical expressions.

5.OA.A.1. Additional Standard: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
5.OA.A.1.1. Ability to build on knowledge of order of operations to find the value of an expression without variables.
Order of OperationsA numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
Order of OperationsRules of Order of Operations: 1st: Compute all operations inside of parentheses. 2nd: Compute all work with exponents. 3rd: Compute all multiplication and division from left to right. 4th: Compute all addition and subtraction from left to right. Read more...iWorksheets :3Study Guides :1
5.OA.A.2. Additional Standard: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2×(8+7). Recognize that 3×(18932+921) is three times as large as 18932+921, without having to calculate the indicated sum or product.
5.OA.A.2.1. Knowledge of the term “expressions” and the difference between this term and equation.
Order of OperationsA numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
Order of OperationsRules of Order of Operations: 1st: Compute all operations inside of parentheses. 2nd: Compute all work with exponents. 3rd: Compute all multiplication and division from left to right. 4th: Compute all addition and subtraction from left to right. Read more...iWorksheets :3Study Guides :1
5.OA.A.2.3. Ability to write simple expressions without actually calculating them.
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
5.OA.A.2.4. Ability to apply their reasoning of the four operations and knowledge of place value to describe the relationship between numbers.
MultiplicationMultiplication is a mathematical operation in which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. Read more...iWorksheets :3Study Guides :1
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Distributive PropertyThe distributive property offers a choice in multiplication of two ways to treat the addends in the equation. We are multiplying a sum by a factor which results in the same product as multiplying each addend by the factor and then adding the products. Read more...iWorksheets :3Study Guides :1
Commutative/Associative PropertiesThe commutative property allows us to change the order of the numbers without changing the outcome of the problem. The associative property allows us to change the grouping of the numbers. Read more...iWorksheets :4Study Guides :1
DivisionDivision is a mathematical operation is which a number, called a dividend is divided by another number, called a divisor to get a result, called a quotient. Read more...iWorksheets :3Study Guides :1
Odd/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 :3Study 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
4 Digit AdditionFreeAdding four digit numbers. 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 :7Study 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 :6Study 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 :4Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.OA.A.2.5. This standard does not include variables, only numbers and operational signs.
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
5.OA.A.2.6. Ability to apply their understanding of four operations and grouping symbols to write expressions.
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1

5.OA.B. Analyze patterns and relationships.

5.OA.B.3. Additional Standard: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
5.OA.B.3.1. Ability to generate and analyze patterns (4.OA.C.5).
Number PatternsA number pattern is a group of numbers that are related to one another in some sort of pattern. Finding a pattern is a simpler way to solve a problem. Read more...iWorksheets :3Study Guides :1
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
5.OA.B.3.2. Knowledge that corresponding terms are used to create ordered pairs.
Plot PointsYou use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1
CoordinatesThe use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
Plotting PointsIn a coordinate pair, the first number indicates the position of the point along the horizontal axis of the grid. The second number indicates the position of the point along the vertical axis. Read more...iWorksheets :4Study Guides :1Vocabulary :1
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
Graphs and TablesUsing tables and graphs is a way people can interpret data. Data means information. So interpreting data just means working out what information is telling you. Information is sometimes shown in tables, charts and graphs to make the information easier to read. Read more...iWorksheets :3Study Guides :1
Area of Coordinate PolygonsCalculate the area of basic polygons drawn on a coordinate plane. Coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. Read more...iWorksheets :3Study Guides :1
5.OA.B.3.3. Ability to apply knowledge of the coordinate system. Graphing points in the first quadrant of a coordinate plane (5.G.A.1 and 2).
Plot PointsYou use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1
CoordinatesThe use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
Plotting PointsIn a coordinate pair, the first number indicates the position of the point along the horizontal axis of the grid. The second number indicates the position of the point along the vertical axis. Read more...iWorksheets :4Study Guides :1Vocabulary :1
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
Area of Coordinate PolygonsCalculate the area of basic polygons drawn on a coordinate plane. Coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. Read more...iWorksheets :3Study Guides :1

MD.MA.5.NBT. Number and Operations in Base Ten (NBT)

5.NBT.A. Understand the place value system.

5.NBT.A.1. Major Standard: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
5.NBT.A.1.1. Ability to identify place value of individual digits in a multi-digit whole number (4.NBT.A.1 and 2).
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
Whole Numbers to MillionsA whole number is a number without fractions. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Compare and Order NumbersComparing two numbers and deciding which one is greater Read more...iWorksheets :3Study Guides :1
Whole Numbers to TrillionsThe number system we use is based on a place value system. Although there are only 10 different digits in this system, it is possible to order them in so many variations that the numbers represented are infinite. Read more...iWorksheets :4Study Guides :1
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 :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
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
5.NBT.A.1.2. Ability to describe the relationship between decimal fractions and decimal notation (4.NBT.C.5, 6, 7) – grade 4 to hundredths, grade 5 to thousandths.
PercentsA percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1
PercentageThe term percent refers to a fraction in which the denominator is 100. It is a way to compare a number with 100. Read more...iWorksheets :6Study Guides :1
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Multiple Representation of Rational NumbersWhat are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets :3Study Guides :1
5.NBT.A.1.3. Ability to identify and describe the integration of decimal fractions into place value system.
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
5.NBT.A.1.4. Ability to reason about the magnitude of whole numbers, decimals, and decimal fractions (Identify which digit is 10 times, 100 times, or 1/10, 1/100, etc. of another digit).
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
5.NBT.A.2. Major Standard: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of 10.
5.NBT.A.2.1. Knowledge of exponents with powers of 10.
Exponential & Scientific NotationExponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.A.2.2. Knowledge of when dividing by powers of 10, the exponent above the 10 indicates how many places the decimal point is moving (how many times we are dividing by 10, the number because ten time smaller). When dividing by 10, the decimal point moves to the left.
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.A.3a. Major Standard: Read, write, and compare decimals to thousandths (builds on grade 4 work to hundredths) – Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g. 347.392 = 3x100+4x10+7x1+3x(1/10)+9x(1/100)+2x(1/1000).
5.NBT.A.3a.1. See the skills and knowledge that are stated in the standard.
Ordering DecimalsWhen putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1
DecimalsREADING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :3Study Guides :1Vocabulary :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
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Multiple Representation of Rational NumbersWhat are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets :3Study Guides :1
5.NBT.A.3b. Major Standard: Read, write, and compare decimals to thousandths (builds on grade 4 work to hundredths) – Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons (builds on work from 4.NBT.C.7 and 5.NBT.A.2).
5.NBT.A.3b.1. See the skills and knowledge that are stated in the standard.
Ordering DecimalsWhen putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1
DecimalsREADING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :3Study Guides :1Vocabulary :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
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Multiple Representation of Rational NumbersWhat are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets :3Study Guides :1
5.NBT.A.4. Major Standard: Use place value understanding to round decimals to any place.
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

5.NBT.B. Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.B.4. Major Standard: Use place value understanding to round decimals to any place.
5.NBT.B.4.1. Ability to reason and explain the answers to a problem that requires rounding using knowledge of place value and number sense.
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
5.NBT.B.4.2. Ability to identify two possible answers and use understanding of place value to compare the given number to the possible answers to round to any place.
Fractions/DecimalsAny fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1
Ordering DecimalsWhen 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/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
5.NBT.B.5. Major Standard: Fluently multiply multi-digit whole numbers using the standard algorithm.
5.NBT.B.5.1. Accurate recall of single digit multiplication facts.
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
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 :7Study Guides :1
5.NBT.B.5.2. Select and use accurate and efficient methods to compute such as mental math, properties of multiplication, decomposing/composing numbers, (as they transition to the standard algorithm).
MultiplicationMultiplication is a mathematical operation in which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. Read more...iWorksheets :3Study Guides :1
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Distributive PropertyThe distributive property offers a choice in multiplication of two ways to treat the addends in the equation. We are multiplying a sum by a factor which results in the same product as multiplying each addend by the factor and then adding the products. Read more...iWorksheets :3Study Guides :1
Commutative/Associative PropertiesThe commutative property allows us to change the order of the numbers without changing the outcome of the problem. The associative property allows us to change the grouping of the numbers. Read more...iWorksheets :4Study Guides :1
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
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 :7Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.B.5.3. Ability to apply an understanding of place value and multiplying multi-digit numbers.
MultiplicationMultiplication is a mathematical operation in which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. Read more...iWorksheets :3Study Guides :1
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Distributive PropertyThe distributive property offers a choice in multiplication of two ways to treat the addends in the equation. We are multiplying a sum by a factor which results in the same product as multiplying each addend by the factor and then adding the products. Read more...iWorksheets :3Study Guides :1
Commutative/Associative PropertiesThe commutative property allows us to change the order of the numbers without changing the outcome of the problem. The associative property allows us to change the grouping of the numbers. Read more...iWorksheets :4Study Guides :1
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
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
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
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.B.5.4. Ability to use the standard algorithm and recognize the importance of place value.
MultiplicationMultiplication is a mathematical operation in which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. Read more...iWorksheets :3Study Guides :1
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Distributive PropertyThe distributive property offers a choice in multiplication of two ways to treat the addends in the equation. We are multiplying a sum by a factor which results in the same product as multiplying each addend by the factor and then adding the products. Read more...iWorksheets :3Study Guides :1
Commutative/Associative PropertiesThe commutative property allows us to change the order of the numbers without changing the outcome of the problem. The associative property allows us to change the grouping of the numbers. Read more...iWorksheets :4Study Guides :1
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
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
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
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.B.6. Major Standard: Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.
5.NBT.B.6.2. Ability to use a variety of strategies to find whole number quotients such as, relationship between multiplication and division, properties of operations, place value, etc.
DivisionDivision is a mathematical operation is which a number, called a dividend is divided by another number, called a divisor to get a result, called a quotient. Read more...iWorksheets :3Study Guides :1
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study 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 :4Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.B.6.3. Ability to apply place value understanding to multiplying and dividing multi-digit numbers.
MultiplicationMultiplication is a mathematical operation in which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. Read more...iWorksheets :3Study Guides :1
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Distributive PropertyThe distributive property offers a choice in multiplication of two ways to treat the addends in the equation. We are multiplying a sum by a factor which results in the same product as multiplying each addend by the factor and then adding the products. Read more...iWorksheets :3Study Guides :1
Commutative/Associative PropertiesThe commutative property allows us to change the order of the numbers without changing the outcome of the problem. The associative property allows us to change the grouping of the numbers. Read more...iWorksheets :4Study Guides :1
DivisionDivision is a mathematical operation is which a number, called a dividend is divided by another number, called a divisor to get a result, called a quotient. Read more...iWorksheets :3Study Guides :1
Odd/EvenA number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study 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
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
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.B.6.4. Ability to explain calculations by using equations or models.
DivisionDivision is a mathematical operation is which a number, called a dividend is divided by another number, called a divisor to get a result, called a quotient. Read more...iWorksheets :3Study Guides :1
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study 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 :4Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
5.NBT.B.6.6. Limits up to four-digit and two-digit divisors, can include remainders.
DivisionDivision is a mathematical operation is which a number, called a dividend is divided by another number, called a divisor to get a result, called a quotient. Read more...iWorksheets :3Study Guides :1
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
5.NBT.B.7. Major Standard: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
5.NBT.B.7.1. Ability to use concrete models and pictorial representations to perform operations with decimals to hundredths.
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/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
5.NBT.B.7.2. Ability to recognize that the product is not always larger than its factors.
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
5.NBT.B.7.3. Ability to recognize that the quotient is not always smaller than the dividend.
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
5.NBT.B.7.4. Ability to write numerical expressions or equations to represent the problem and solution.
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
5.NBT.B.7.5. Ability to reason and explain how the models, pictures, or strategies were used to solve the problem.
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/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

MD.MA.5.NF. Number and Operations – Fractions (NF)

5.NF.A. Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.A.1. Major Standard: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
5.NF.A.1.1. Knowledge of understanding of addition and subtraction of fractions with like denominators and unit fractions from grade 4 (4.NF.B.3.a-d).
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
5.NF.A.1.3. Ability to create equivalent fractions for each addend by using the identity property (standard algorithm).
Proportions/Equivalent FractionsEquivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1
Fractions/DecimalsAny fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study 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
5.NF.A.2. Major Standard: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7 by observing that 3/7 &lt; 1/2.
5.NF.A.2.1. Knowledge of understanding addition and subtraction of fractions as joining and separating parts referring to the same whole (4.NF.A.3a).
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
Add/Subtract FractionsAdding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Adding FractionsAdding fractions is the operation of adding two or more different fractions. 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
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
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
5.NF.A.2.2. Ability to add and subtract fractions with unlike denominators by using visual fraction models or equations (5.NF.A.1).
Add/Subtract FractionsAdding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Adding FractionsAdding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1

5.NF.B. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.NF.B.3. Major Standard: Interpret a fraction as division of the numerator by the denominator (a/b = a÷b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
5.NF.B.3.1. Ability to recognize that a fraction is a representation of division.
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 :3Study Guides :1Vocabulary :1
Proportions/Equivalent FractionsEquivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :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 :3Study Guides :1Vocabulary :1
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Add/Subtract FractionsAdding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Ordering FractionsThe order of rational numbers depends on their relationship to each other and to zero. Rational numbers can be dispersed along a number line in both directions from zero. Read more...iWorksheets :6Study Guides :1
Simplify FractionsSimplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets :3Study Guides :1
Adding FractionsAdding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :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
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
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Multiple Representation of Rational NumbersWhat are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets :3Study Guides :1
Add/Subtract 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
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
5.NF.B.3.2. Relate division of whole numbers to division of fractions.
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 :3Study Guides :1Vocabulary :1
Proportions/Equivalent FractionsEquivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :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 :3Study Guides :1Vocabulary :1
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Add/Subtract FractionsAdding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Ordering FractionsThe order of rational numbers depends on their relationship to each other and to zero. Rational numbers can be dispersed along a number line in both directions from zero. Read more...iWorksheets :6Study Guides :1
Simplify FractionsSimplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets :3Study Guides :1
Adding FractionsAdding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :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
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
Decimals/FractionsExpress decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Multiple Representation of Rational NumbersWhat are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets :3Study Guides :1
Add/Subtract 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
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
5.NF.B.4a. Major Standard: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction – Interpret the product (a/b) x q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q÷b. For example, use a visual fraction model to show (2/3)x4 = 8/3, and create a story context for this equation. Do the same with (2/3)x(4/5) = 8?15. (In general, (a/b)x(c/d) = ac/bd.)
5.NF.B.4a.1. Ability to apply knowledge of multiplication of a whole numbers to multiplying fractions by a whole number as repeated addition of a unit fraction using fraction models and then equations (4.NF.B.4c).
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.4a.3. Ability to multiply a fraction times a fraction using fraction models and then equations.
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.4a.4. Ability to create a story context to multiply a fraction by a fraction.
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.4b. Major Standard: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction – Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
5.NF.B.4b.1. Knowledge of unit fractions to multiply all fractions (4.NF.B.3a, b).
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.5a. Major Standard: Interpret multiplication as scaling (resizing) by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
5.NF.B.5a.2. Ability to reason abstractly about the magnitude of products with fractions.
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.5a.3. For example: 5x3 is 5 times as big as 3 (grade 4); Grade 5 – 1/2 x 3 is half the size of 3.
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.5b. Major Standard: Interpret multiplication as scaling (resizing) by: Explaining why multiplying a given number by a fraction greater than one results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n x a)/(n x b) to the effect of multiplying (a/b) by 1.
5.NF.B.5b.1. Ability to understand the differences in results when multiplying whole numbers and when multiplying fractions (when multiplying a fraction greater than 1, the number increases and when multiplying by a fraction less than 1, the number decreases).
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.5b.2. Ability to explore the concepts in this standard while doing work on 5.NF.B.4a.
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.6. Major Standard: Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
5.NF.B.6.2. Solve a variety of problems using multiplication of fractions. Include problems involving fraction by a whole number, fraction by a fraction, fraction by a mixed number, and mixed number by a mixed number.
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1
5.NF.B.7c. Major Standard: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients – Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb. of chocolate equally? How many 1/3 cup servings are in 2 cups of raisins?
5.NF.B.7c.1. Knowledge of the relationship between multiplication and division (4.NBT.B.6., 5.NF.B.7a and 7b).
AlgebraAlgebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1
One & Two Step EquationsAn algebraic equation is an expression in which a letter represents an unknown number Read more...iWorksheets :5Study Guides :1

MD.MA.5.MD. Measurement and Data (MD)

5.MD.A. Convert like measurement units within a given measurement system.

5.MD.A.1. Supporting Standard: Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step real-world problems.
5.MD.A.1.1. Ability to convert measurements within the same measurement system (Metric and Customary) (4.MD.A.1).
MeasurementFreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1
5.MD.A.1.2. Ability to distinguish between and select the appropriate units for length, mass, and volume (4.MD.A.1).
MeasurementMeasurement 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
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 :8Study Guides :1Vocabulary :3
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
5.MD.A.1.3. Knowledge of the relationships between the units of measurement in both metric and customary systems.
MeasurementFreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1
5.MD.A.1.4. Ability to use appropriate measuring tools for both systems (yardsticks/meter sticks, rulers (metric and customary), Measuring cups, etc.
MeasurementMeasurement 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
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 :8Study Guides :1Vocabulary :3
Volume and CapacityWhat 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 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
5.MD.A.1.5. Ability to convert measurements found within the context of multi-step, real world word problems (4.MD.A.2).
MeasurementFreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1
5.MD.A.1.6. Ability to use knowledge of base ten system to converting metric measurements for length, mass, and volume.
MeasurementFreeThere are many units of measurement: inches, feet, yards, miles, millimeters, meters, seconds, minutes, hours, cups, pints, quarts, gallons, ounces, pounds, etc Read more...iWorksheets :6Study Guides :1
Volume and CapacityWhat 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

5.MD.B. Represent and interpret data.

5.MD.B.2. Supporting Standard: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); Use operations for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally (4.MD.B.4).
5.MD.B.2.2. Ability to use equivalent fractions to add and subtract fractions (5.NF.A.1 and 2).
Proportions/Equivalent FractionsEquivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1
Fractions/DecimalsAny fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Add/Subtract FractionsAdding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Adding FractionsAdding fractions is the operation of adding two or more different fractions. 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
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
5.MD.B.2.3. Ability to apply knowledge of multiplication and division to multiply and divide fractions based on the line plot data.
Multiply / Divide FractionsTo multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets :4Study Guides :1
Multiply FractionsMultiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets :3Study Guides :1

5.MD.C. Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

5.MD.C.3. Major Standard: Recognize volume as an attribute of solid figures and understand concepts of volume measurement: A) A cube with side lengths 1 unit, called a “unit cube”, is said to have “one cubic unit” of volume, and can be used to measure volume; B) A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
5.MD.C.3.1. Ability to understand that volume introduces a third dimension to figures.
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
Volume and CapacityWhat 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
5.MD.C.3.2. Ability to understand the differences in liquid volume and solid volume. Liquid volume (4.MD.A.2) fills the three dimension space of a container and takes the shape of the container. Solid volume fills the space of a three-dimensional container by packing the container with solid units.
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
MeasurementMeasurement 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
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 :8Study Guides :1Vocabulary :3
Volume and CapacityWhat 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 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
5.MD.C.3.3. Knowledge that solid units are composed of 1 unit by 1 unit by 1. It called a cubic unit and it is the standard measure for finding volume.
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
Volume and CapacityWhat 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
5.MD.C.3.4. Ability to find the total volume of a solid figure by packing a solid figure with cubic inches or centimeters, without gaps or overlaps, and then counting the cubic units to find the total volume (Does not ‘fill’ a container randomly with cubic units).
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
Volume and CapacityWhat 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
5.MD.C.4. Major Standard: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
5.MD.C.4.1. Ability to pack unit cubes without gaps or overlaps into right rectangular prisms and count the cubes to determine the volume.
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
5.MD.C.4.2. Understand that the volume of a right rectangular prism can be found by first packing the container with cubes to making rows to create layers (an array of rows and columns that pack the container without gaps or overlaps).
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
5.MD.C.5a. Major Standard: Relate volume to the operations of multiplication and addition, and solve real-world and mathematical problems involving volume – Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent three-fold whole-number products as volumes, e.g., to represent the associative property of multiplication.
5.MD.C.5a.1. Apply multiplicative reasoning to determine volume, looking for and making use of previously learned structure for finding volume using unit cubes in iterated layers. Use multiplication to find the area of the base of the container (length and width = 1 layer) and multiply the resulting area by the number of layers (height).
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
5.MD.C.5a.2. Ability to understand the height of the prism tells how many layers will fit in the prism.
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
Volume and CapacityWhat 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
5.MD.C.5a.3. Ability to represent three fold whole-number product as volume to represent the associative property (Volume is a derived attribute once length is specified; it can be computed as the product of three length measurements or as the product of one area and one length).
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
5.MD.C.5b. Major Standard: Relate volume to the operations of multiplication and addition, and solve real-world and mathematical problems involving volume – Apply the formulas V = (l)(w)(h) and V = (b)(h) for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
5.MD.C.5b.3. Ability to find the volume of a figure with an unknown dimension.
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1

MD.MA.5.G. Geometry (G)

5.G.A. Graph points on the coordinate plane to solve real- world and mathematical problems.

5.G.A.1. Additional Standard: Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
5.G.A.1.1. See the skills and knowledge that are stated in the standard.
Plot PointsYou use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1
CoordinatesThe use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
Plotting PointsIn a coordinate pair, the first number indicates the position of the point along the horizontal axis of the grid. The second number indicates the position of the point along the vertical axis. Read more...iWorksheets :4Study Guides :1Vocabulary :1
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
Graphs and TablesUsing tables and graphs is a way people can interpret data. Data means information. So interpreting data just means working out what information is telling you. Information is sometimes shown in tables, charts and graphs to make the information easier to read. Read more...iWorksheets :3Study Guides :1
Area of Coordinate PolygonsCalculate the area of basic polygons drawn on a coordinate plane. Coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. Read more...iWorksheets :3Study Guides :1
5.G.A.2. Additional Standard: Represent real-world mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
5.G.A.2.1. See the skills and knowledge that are stated in the standard.
Plot PointsYou use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1
CoordinatesThe use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
Plotting PointsIn a coordinate pair, the first number indicates the position of the point along the horizontal axis of the grid. The second number indicates the position of the point along the vertical axis. Read more...iWorksheets :4Study Guides :1Vocabulary :1
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
Graphs and TablesUsing tables and graphs is a way people can interpret data. Data means information. So interpreting data just means working out what information is telling you. Information is sometimes shown in tables, charts and graphs to make the information easier to read. Read more...iWorksheets :3Study Guides :1
Area of Coordinate PolygonsCalculate the area of basic polygons drawn on a coordinate plane. Coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. Read more...iWorksheets :3Study Guides :1

5.G.B. Classify two-dimensional figures into categories based on their own properties.

5.G.B.3. Additional Standard: Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
5.G.B.3.1. Knowledge of classifying two dimensional figures; see relationships among the attributes of two-dimensional figures.
ShapesFreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study 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 :7Study Guides :1Vocabulary :1
5.G.B.4. Additional Standard: Classify two-dimensional figures in a hierarchy based on properties.
5.G.B.4.1. See the skills and knowledge that are stated in the standard.
ShapesFreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study 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 :7Study Guides :1Vocabulary :1

Standards

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

Maryland College and Career-Ready StandardsAlabama Courses of StudyAlaska Content and Performance StandardsArizona's College and Career Ready StandardsArkansas Curriculum FrameworksCalifornia Content StandardsColorado Academic Standards (CAS)Common Core State StandardsConnecticut Core StandardsDelaware Standards and InstructionFlorida StandardsGeorgia Standards of ExcellenceHawaii Content and Performance StandardsIdaho Content StandardsIllinois Learning StandardsIndiana Academic StandardsIowa CoreKansas Academic StandardsKentucky Academic StandardsLouisiana Academic StandardsMaine Learning ResultsMaryland StandardsMassachusetts Curriculum FrameworksMichigan Academic StandardsMinnesota Academic StandardsMississippi College & Career Readiness StandardsMissouri Learning StandardsMontana Content StandardsNational STEM StandardsNebraska Core Academic Content StandardsNevada Academic Content StandardsNew Hampshire College and Career Ready StandardsNew Jersey Common Core StandardsNew Jersey Student Learning StandardsNew Mexico Content StandardsNew York State Learning Standards and Core CurriculumNorth Carolina Standard Course of StudyNorth Dakota Academic Content StandardsOhio Learning StandardsOklahoma Academic StandardsOregon Academic Content StandardsPennsylvania Core and Academic StandardsRhode Island World-Class StandardsSouth Carolina Standards & LearningSouth Dakota Content StandardsTennessee Academic StandardsTexas Assessments of Academic Readiness (STAAR)Texas Essential Knowledge and Skills (TEKS)U.S. National StandardsUtah Core StandardsVermont Framework of Standards and LearningVirgin Islands Common Core StandardsVirginia Standards of LearningWashington DC Academic StandardsWashington State K–12 Learning Standards and GuidelinesWest Virginia College and Career Readiness StandardsWisconsin Academic StandardsWyoming Content and Performance Standards