Pennsylvania Core and Academic Standards for Fifth Grade Math

AlgebraAlgebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets: 10Study Guides: 1Vocabulary Sets: 1
Common FactorsFactors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets: 6Study Guides: 1Vocabulary Sets: 1
Less Than, Greater ThanCompare fractions and decimals using <, >, or =. Read more...iWorksheets: 3Study Guides: 1
PercentsA percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets: 8Study Guides: 1Vocabulary Sets: 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
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
RatioRatios are used to make a comparison between two things. Read more...iWorksheets: 10Study 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
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
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
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 Sets: 1
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets: 5Study Guides: 1Vocabulary Sets: 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
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 Sets: 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
Simplify FractionsSimplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets: 5Study Guides: 1Vocabulary Sets: 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
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
Congruent ShapesFigures are congruent if they are identical in every way except for their position. Read more...iWorksheets: 3Study 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: 6Study Guides: 1
Elapsed TimeElapsed time is the amount of time that has passed between two defined times. Read more...iWorksheets: 6Study 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
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: 10Study Guides: 1Vocabulary Sets: 2
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets: 7Study Guides: 1Vocabulary Sets: 1

PA.CC.2.1.5. Numbers and Operations

CC.2.1.5.B. Numbers & Operations in Base Ten

CC.2.1.5.B.1. Apply place-value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.
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
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
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
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
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 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
CC.2.1.5.B.2. Extend an understanding of operations with whole numbers to perform operations including decimals.
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
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
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :7Study 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 :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
4 Digit AdditionFreeAdding four digit numbers. 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
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
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
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

CC.2.1.5.C. Numbers & Operations — Fractions

CC.2.1.5.C.1. Use the understanding of equivalency to add and subtract fractions.
Add/Subtract FractionsAdding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :9Study Guides :1
Adding FractionsAdding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1
CC.2.1.5.C.2. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Multiply / Divide FractionsFreeTo 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 :6Study 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

PA.CC.2.2.5. Algebraic Concepts

CC.2.2.5.A. Operations and Algebraic Thinking

CC.2.2.5.A.1. Interpret and evaluate numerical expressions using order of operations.
Order of OperationsA numerical expression is a phrase which represents a number. Read more...iWorksheets :8Study Guides :1
Order of OperationsFreeRules 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 :4Study Guides :1
CC.2.2.5.A.4. Analyze patterns and relationships using two rules.
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

PA.CC.2.3.5. Geometry

CC.2.3.5.A. Geometry

CC.2.3.5.A.1. Graph points in the first quadrant on the coordinate plane and interpret these points when solving real world and mathematical problems.
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 :5Study Guides :1Vocabulary :1
CoordinatesFreeThe use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :14Study 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
CC.2.3.5.A.2. Classify two-dimensional figures into categories based on an understanding of their properties.
PerimeterA perimeter is the measurement of the distance around a figure. It is measured in units and can be measured by inches, feet, blocks, meters, centimeters or millimeters. Read more...iWorksheets :3Study Guides :1
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 :7Study 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
AreaArea is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1

PA.CC.2.4.5. Measurement, Data, and Probability

CC.2.4.5.A. Measurement and Data

CC.2.4.5.A.1. Solve problems using conversions within a given measurement system.
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
CC.2.4.5.A.5. Apply concepts of volume to solve problems and relate volume to multiplication and to addition.
VolumeVolume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
FormulasThe formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. 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

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