Minnesota Academic Standards for Fourth Grade Math

MeanA mean of a group of numbers is the average of those numbers. Read more...iWorksheets: 3Study Guides: 1
Pattern BlocksA fraction is a part of a whole of something. Read more...iWorksheets: 3Study Guides: 1
PatternsA pattern is a recognizable, consistent series of numbers, shapes, or images. 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
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 Sets: 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: 5Study Guides: 1
PercentsWhen there are one HUNDRED equal parts of something, you can find a PERCENT. Read more...iWorksheets: 3Study Guides: 1
PerimeterPerimeter is the distance around the outside of an object. Read more...iWorksheets: 10Study Guides: 1Vocabulary Sets: 1
CalendarWhat Is Elapsed Time? Elapsed time is the amount of time from the start of an activity to the end of the activity. It tells how long an activity lasted. Elapsed time can be measured in seconds, minutes, hours, days or weeks. Read more...iWorksheets: 6Study Guides: 1
CoordinatesYou can use a pair of numbers to describe the location of a point on a grid. The numbers in the pair are called coordinates. Read more...iWorksheets: 3Study Guides: 1
Data AnalysisAnalysis of data is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information. Read more...iWorksheets: 8Study Guides: 1Vocabulary Sets: 1
MeasurementFreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets: 13Study Guides: 1Vocabulary Sets: 3
MoneyFreeWhat Is Making Change? Making change means giving money back to someone after they have made a purchase and paid more than they owed. This is done using banknotes and coins. You can subtract, add, multiply, and divide money when making change. Read more...iWorksheets: 10Study Guides: 1
Tables and GraphsWhat Are Bar, Circle, and Line Graphs? Bar Graphs are used to compare data. A bar graph is used to show relationships between groups. Circle Graphs are also known as Pie graphs or charts. They consist of a circle divided into parts. Line Graphs show gradual changes in data. Read more...iWorksheets: 12Study Guides: 1
TimeFreeCalculate elapsed time in hours and half hours, not crossing AM/PM. Read more...iWorksheets: 16Study 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
4 Digit AdditionFreeAdding four digit numbers. Read more...iWorksheets: 3Study 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: 13Study Guides: 1
EstimationFreeTo estimate means to make an educated guess based on what you already know. Read more...iWorksheets: 4Study 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: 13Study Guides: 1
Number Words and Place ValueWhen we write numbers, the position of each digit is important. Each position is 10 more than the one before it. So, 23 means “add 2*10 to 3*1″. In the number 467: the "7" is in the Ones position, meaning 7 ones, the "6" is in the Tens position meaning 6 tens, and the "4" is in the Hundreds position. Read more...iWorksheets: 3Study Guides: 1
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 Sets: 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: 5Study Guides: 1Vocabulary Sets: 1

MN.4.1. Number & Operation

4.1.1. Demonstrate mastery of multiplication and division basic facts; multiply multi-digit numbers; solve real-world and mathematical problems using arithmetic.

4.1.1.1. Demonstrate fluency with multiplication and division facts.
MultiplicationMultiplication is similar to adding a number to itself a certain number of times. When multiplying an odd number with an odd number, the product is always an odd number. When multiplying an odd number with an even number or two even numbers, the product is always an even number. Read more...iWorksheets :19Study Guides :1
DivisionFreeWhat Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1
4.1.1.2. Use an understanding of place value to multiply a number by 10, 100 and 1000.
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :9Study Guides :1
4.1.1.3. Multiply multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms.
MultiplicationMultiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Odd/EvenA number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1
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 :9Study Guides :1
4.1.1.4. Estimate products and quotients of multi-digit whole numbers by using rounding, benchmarks and place value to assess the reasonableness of results.
EstimationFreeEstimation is an approximate calculation. Read more...iWorksheets :4Study Guides :1
4.1.1.5. Solve multi-step real-world and mathematical problems requiring the use of addition, subtraction and multiplication of multi-digit whole numbers. Use various strategies, including the relationship between operations, the use of technology, and the context of the problem to assess the reasonableness of results.
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
Problem SolvingWhat Is Problem Solving? Problem solving is finding an answer to a question. How to Problem Solve: Read the problem carefully. Decide on an operation to use to solve the problem. Solve the problem. Check your work and make sure that your answer makes sense. Read more...iWorksheets :4Study Guides :1
Word ProblemsWhat Are Story Problems? Story problems are a bunch of sentences set up to give you information in order to solve a problem. Story problems most often give you all the information needed to solve the problem. They may even include information you do not need at all. Read more...iWorksheets :15Study Guides :1
4.1.1.6. Use strategies and algorithms based on knowledge of place value, equality and properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, and distributive properties and repeated subtraction.
DivisionDivide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
DivisionWhat Is Division? Division is splitting up numbers into equal parts. The process of finding out how many times one number will go into another number. Division is a series of repeated subtraction. The parts of a division problem include the divisor, dividend, quotient and remainder. Read more...iWorksheets :8Study Guides :1
Division/MultiplicationUnderstanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :9Study Guides :1
DivisionFreeWhat Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :6Study Guides :1

4.1.2. Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities.

4.1.2.1. Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines and other manipulatives. Use the models to determine equivalent fractions.
Equivalent FractionsEquivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Fractions/DecimalsHow to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
FractionsThe top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1
4.1.2.2. Locate fractions on a number line. Use models to order and compare whole numbers and fractions, including mixed numbers and improper fractions.
Exponential & Scientific NotationExponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1
AlgebraComparing whole numbers, fractions, and decimals means looking at the values of two numbers and deciding if they are greater than, less than or equal to each other. Read more...iWorksheets :4Study Guides :1
Compare and Order FractionsWhen comparing two fractions that have a common denominator, you can looks at the numerators to decide which fraction is greater Read more...iWorksheets :4Study Guides :1Vocabulary :1
Compare and Order NumbersComparing two numbers and deciding which one is greater 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
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
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
Greater Than/Less ThanIf a number is greater than another number that means it is higher in value than the other number. If a number is less than another number that means it is lower in value than the other number. Read more...iWorksheets :4Study Guides :1
Comparing FractionsWhen comparing fractions, you are finding which fraction is greater and which fractions is less than the other. Similar to comparing numbers, there are symbols to use when comparing fractions. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Ordering and Comparing NumbersWhen you order numbers, you are putting the numbers in a sequence from the smallest value to the largest value. When you compare two numbers, you are finding which number is larger or smaller than the other. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Less Than, Greater ThanCompare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study 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 :4Study Guides :1
Equivalent Fractions to 1/2Fractions that are equivalent to ½ are fractions that have different denominators than ½, but still show half. Fractions that are equivalent to ½ can be simplified to ½. Fractions equivalent to ½ have an even number as their denominator. Read more...iWorksheets :3Study Guides :1
Greater Than/Less ThanWhat Is Greater Than and Less Than? When a number is greater than another number, this means it is a larger number. The symbol for greater than is >. When a number is less than another number, this means it is a smaller number. The symbol for less than is <. Read more...iWorksheets :6Study Guides :1
FractionsThe top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1
4.1.2.3. Use fraction models to add and subtract fractions with like denominators in real-world and mathematical situations. Develop a rule for addition and subtraction of fractions with like denominators.
Add/Subtract FractionsFreeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :1
4.1.2.4. Read and write decimals with words and symbols; use place value to describe decimals in terms of thousands, hundreds, tens, ones, tenths, hundredths and thousandths.
Ordering DecimalsWhen putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :7Study Guides :1Vocabulary :1
DecimalsREADING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :5Study 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 :5Study Guides :1Vocabulary :1
4.1.2.5. Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks.
Exponential & Scientific NotationExponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1
AlgebraComparing whole numbers, fractions, and decimals means looking at the values of two numbers and deciding if they are greater than, less than or equal to each other. Read more...iWorksheets :4Study Guides :1
Ordering DecimalsWhen putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Compare and Order NumbersComparing two numbers and deciding which one is greater 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
Greater Than/Less ThanIf a number is greater than another number that means it is higher in value than the other number. If a number is less than another number that means it is lower in value than the other number. Read more...iWorksheets :4Study Guides :1
Ordering and Comparing NumbersWhen you order numbers, you are putting the numbers in a sequence from the smallest value to the largest value. When you compare two numbers, you are finding which number is larger or smaller than the other. Read more...iWorksheets :5Study Guides :1Vocabulary :1
Less Than, Greater ThanCompare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study 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 :4Study Guides :1
Greater Than/Less ThanWhat Is Greater Than and Less Than? When a number is greater than another number, this means it is a larger number. The symbol for greater than is >. When a number is less than another number, this means it is a smaller number. The symbol for less than is <. Read more...iWorksheets :6Study Guides :1
4.1.2.6. Read and write tenths and hundredths in decimal and fraction notations using words and symbols; know the fraction and decimal equivalents for halves and fourths.
PercentsA percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study 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 :5Study Guides :1Vocabulary :1
4.1.2.7. Round decimals to the nearest tenth.
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

MN.4.2. Algebra

4.2.2. Use number Sentences involving multiplication, division and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.

4.2.2.1. Understand how to interpret number sentences involving multiplication, division and unknowns. Use real-world situations involving multiplication or division to represent number sentences.
Evaluate Open SentencesAlgebra is a study of the properties of operations on numbers. Algebra generalizes math by using symbols or letters to represent numbers. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Multi-step Word ProblemsSome word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :4Study Guides :1
Determine the One Operation FunctionA one operation function is an equation with only one of the following operations: addition, subtraction, multiplication, or division. Read more...iWorksheets :3Study Guides :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1
Open Number SentencesWhat Are Open Number Sentences? Open number sentences are equations that give one part of the equation along with the answer. In order to solve an open number sentence, the inverse operation is used. Read more...iWorksheets :3Study Guides :1
4.2.2.2. Use multiplication, division and unknowns to represent a given problem situation using a number sentence. Use number sense, properties of multiplication, and the relationship between multiplication and division to find values for the unknowns that make the number sentences true.
AlgebraAlgebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :7Study Guides :1Vocabulary :1
Word ProblemsMultiply and divide, writing number sentences. Read more...iWorksheets :4Study Guides :1

MN.4.3. Geometry & Measurement

4.3.1. Name, describe, classify and sketch polygons.

4.3.1.1. Describe, classify and sketch triangles, including equilateral, right, obtuse and acute triangles. Recognize triangles in various contexts. Name, describe, classify and sketch polygons.
ShapesWe are surrounded by many different kinds of shapes every day. Many shapes are flat. These shapes are two-dimensional plane figures. Read more...iWorksheets :10Study Guides :1
ShapesFreeA shape is the external contour or outline of someone of something Read more...iWorksheets :11Study Guides :1Vocabulary :3
4.3.1.2. Describe, classify and draw quadrilaterals, including squares, rectangles, trapezoids, rhombuses, parallelograms and kites. Recognize quadrilaterals in various contexts.
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

4.3.2. Understand angle and area as measurable attributes of real world and mathematical objects. Use various tools to measure angles and areas.

4.3.2.1. Measure angles in geometric figures and real-world objects with a protractor or angle ruler.
Lines and AnglesAcute angle: An angle whose measure is less than 90; Right angle: An angle that measures 90; Obtuse angle: An angle whose measure is more than 90 and less than 180; Straight angle: An angle that measures 180; Reflex angle: An angle whose measure is more than 180 and less than 360. There are 3 sets of lines: Intersecting, Perpendicular and Parallel. Read more...iWorksheets :12Study Guides :2Vocabulary :2
AnglesA right angle is an angle that measures 90°. A straight angle is an angle that measures 180°. An obtuse angle is an angle that measures more than 90°. An acute angle is an angle that measures less than 90°. Read more...iWorksheets :10Study Guides :1
4.3.2.2. Compare angles according to size. Classify angles as acute, right and obtuse.
Lines and AnglesAcute angle: An angle whose measure is less than 90; Right angle: An angle that measures 90; Obtuse angle: An angle whose measure is more than 90 and less than 180; Straight angle: An angle that measures 180; Reflex angle: An angle whose measure is more than 180 and less than 360. There are 3 sets of lines: Intersecting, Perpendicular and Parallel. Read more...iWorksheets :12Study Guides :2Vocabulary :2
AnglesA right angle is an angle that measures 90°. A straight angle is an angle that measures 180°. An obtuse angle is an angle that measures more than 90°. An acute angle is an angle that measures less than 90°. Read more...iWorksheets :10Study Guides :1
4.3.2.3. Understand that the area of a two-dimensional figure can be found by counting the total number of same size square units that cover a shape without gaps or overlaps. Justify why length and width are multiplied to find the area of a rectangle by breaking the rectangle into one unit by one unit squares and viewing these as grouped into rows and columns.
AreaArea is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1
Area and PerimeterThe area of a figure is the space inside the figure. The perimeter of a polygon is the distance around it. The perimeter is the sum of the lengths of ALL the sides. Read more...iWorksheets :7Study Guides :1

MN.4.4. Data Analysis

4.4.1. Collect, organize, display and interpret data, including data collected over a period of time and data represented by fractions and decimals.

4.4.1.1. Use tables, bar graphs, timelines and Venn diagrams to display data sets. The data may include fractions or decimals. Understand that spreadsheet tables and graphs can be used to display data.
Represent DataYou can represent data by bar graphs, pictographs and tables. Read more...iWorksheets :7Study 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

Standards

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