South Dakota Standards for Fourth Grade Math

4 Digit Addition
FreeAdding four digit numbers. Read more...iWorksheets: 3Study Guides: 1
Addition/Subtraction
Addition is combining two or more numbers. The term used for addition is plus. When two or more numbers are combined they form a new number called a sum. Subtraction is “taking away” one number from another. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets: 3Study Guides: 1
Area and Perimeter
The area of a figure is the space inside the figure. The perimeter of a polygon is the distance around it. The perimeter is the sum of the lengths of ALL the sides. Read more...iWorksheets: 4Study Guides: 1
Calendar
What Is Elapsed Time? Elapsed time is the amount of time from the start of an activity to the end of the activity. It tells how long an activity lasted. Elapsed time can be measured in seconds, minutes, hours, days or weeks. Read more...iWorksheets: 3Study Guides: 1
Compare and Order Numbers
What is comparing and ordering numbers? Ordering numbers means listing numbers from least to greatest, or greatest to least. Comparing numbers means looking at the values of two numbers and deciding if the numbers are greater than, less than, or equal to each other. Read more...iWorksheets: 3Study Guides: 1
Coordinates
You can use a pair of numbers to describe the location of a point on a grid. The numbers in the pair are called coordinates. Read more...iWorksheets: 3Study Guides: 1
Division
What Is Division? Division is splitting up numbers into equal parts. The process of finding out how many times one number will go into another number. Division is a series of repeated subtraction. The parts of a division problem include the divisor, dividend, quotient and remainder. Read more...iWorksheets: 4Study Guides: 1
Division/Multiplication
Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets: 6Study Guides: 1
Evaluate Open Sentences
Algebra is a study of the properties of operations on numbers. Algebra generalizes math by using symbols or letters to represent numbers. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1
Mean
A mean of a group of numbers is the average of those numbers. Read more...iWorksheets: 3Study Guides: 1
More Multiplication
Multiplication of two digits by two digits. What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding. By multiplying numbers together, you are adding a series of one number to itself. Read more...iWorksheets: 3Study Guides: 1
Multiplication
What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding by using strategies to remember what different groups of each number equal. By multiplying numbers together, you are adding a series of one number to itself. The answer to a multiplication problem is called a product. Read more...iWorksheets: 7Study Guides: 1
Odd/Even
A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets: 3Study Guides: 1
Percents
When there are one HUNDRED equal parts of something, you can find a PERCENT. Read more...iWorksheets: 3Study Guides: 1
Perimeter
Perimeter is the distance around the outside of an object. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1
Place Value
What Is Place Value? In our decimal number system, the value of a digit depends on its place, or position, in the number. Beginning with the ones place at the right, each place value is multiplied by increasing powers of 10. Read more...iWorksheets: 4Study Guides: 1Vocabulary Sets: 1
Rounding Numbers
What Is Rounding? Rounding means reducing the digits in a number while trying to keep its value similar. How to Round: The number in the given place is increased by one if the digit to its right is 5 or greater. The number in the given place remains the same if the digit to its right is less than 5. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1
Time
Calculate elapsed time in hours and half hours, not crossing AM/PM. Read more...iWorksheets: 6Study Guides: 1

SD.4.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

4.A.1. Use procedures to transform algebraic expressions.

4.A.1.2. Application: Students are able to recognize and use the commutative property of addition and multiplication.
4.A.1.2.a. Use models to identify commutative property.
Commutative Property
The commutative property of addition says that we can add numbers in any order and get the same sum. Read more...iWorksheets :3Study Guides :1
Commutative/Associative Properties
Using 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.A.1.3. Application: Students are able to relate the concepts of addition, subtraction, multiplication, and division to one another.
Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1

4.A.2. Use a variety of algebraic concepts and methods to solve equations and inequalities.

4.A.2.1. Comprehension: Students are able to select appropriate relational symbols (<, >, =) to make number sentences true.
Exponential & Scientific Notation
Exponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Algebra
Comparing whole numbers, fractions, and decimals means looking at the values of two numbers and deciding if they are greater than, less than or equal to each other. Read more...iWorksheets :3Study Guides :1
Ordering Decimals
When putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Compare and Order Fractions
When comparing two fractions that have a common denominator, you can looks at the numerators to decide which fraction is greater Read more...iWorksheets :3Study Guides :1Vocabulary :1
Positive & Negative Integers
Positive 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
Ordering Fractions
A fraction consists of two numbers separated by a line. Read more...iWorksheets :3Study Guides :1
Fractions/Decimals
How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
Greater Than/Less Than
If a number is greater than another number that means it is higher in value than the other number. If a number is less than another number that means it is lower in value than the other number. Read more...iWorksheets :3Study Guides :1
Comparing Fractions
When comparing fractions, you are finding which fraction is greater and which fractions is less than the other. Similar to comparing numbers, there are symbols to use when comparing fractions. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Less Than, Greater Than
Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1
Greater Than/Less Than
What Is Greater Than and Less Than? When a number is greater than another number, this means it is a larger number. The symbol for greater than is >. When a number is less than another number, this means it is a smaller number. The symbol for less than is <. Read more...iWorksheets :6Study Guides :1
Fractions
The top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1

4.A.3. Interpret and develop mathematical models.

4.A.3.1. Application: Students are able to write and solve number sentences that represent one-step word problems using whole numbers.
4.A.3.1.a. Use multiple methods, such as physical models, tables and charts, the number line, and graphs.
Multi-step Word Problems
Some word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1
Word Problems
Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1
Problem Solving
What Is Problem Solving? Problem solving is finding an answer to a question. How to Problem Solve: Read the problem carefully. Decide on an operation to use to solve the problem. Solve the problem. Check your work and make sure that your answer makes sense. Read more...iWorksheets :3Study Guides :1
Word Problems
What Are Story Problems? Story problems are a bunch of sentences set up to give you information in order to solve a problem. Story problems most often give you all the information needed to solve the problem. They may even include information you do not need at all. Read more...iWorksheets :7Study Guides :1

4.A.4. Describe and use the properties and behaviors of relations, functions and inverses.

4.A.4.1. Application: Students are able to solve problems involving pattern identification and completion of patterns.
Patterns
A pattern is an order of things repeated over and over. Read more...iWorksheets :3Study Guides :1
Patterns
Patterns in shapes and numbers. Read more...iWorksheets :3Study Guides :1
Patterns
A pattern is a recognizable, consistent series of numbers, shapes, or images. Read more...iWorksheets :3Study Guides :1

SD.4.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

4.G.1. Use deductive and inductive reasoning to recognize and apply properties of geometric figures.

4.G.1.1. Knowledge: Students are able to identify the following plane and solid figures: pentagon, hexagon, octagon, pyramid, rectangular prism, and cone.
Shapes
We are surrounded by many different kinds of shapes every day. Many shapes are flat. These shapes are two-dimensional plane figures. Read more...iWorksheets :3Study Guides :1
Perimeter
A 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
Shapes
FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3
Polygon Characteristics
A polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets :7Study Guides :1Vocabulary :1
Solids and Faces
You can use solid shapes to help describe real-world objects. These shapes have surfaces called faces. Read more...iWorksheets :3Study Guides :1
Area
Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1
Congruent Shapes
FreeCongruent shapes are shapes that are the exact same shape and size. Congruent shapes can be rotated or reflected. When 2 shapes are congruent, they have the exact same size and shape. Read more...iWorksheets :4Study Guides :1Vocabulary :1
4.G.1.2. Knowledge: Students are able to identify parallel, perpendicular, and intersecting lines.
Lines and Angles
There are 3 sets of lines and 4 sets of angles. Read more...iWorksheets :6Study Guides :1Vocabulary :2

4.G.2. Use properties of geometric figures to solve problems from a variety of perspectives.

4.G.2.1. Comprehension: Students are able to compare geometric figures using size, shape, orientation, congruence, and similarity.
Congruent Shapes
Figures are congruent if they are identical in every way except for their position. Read more...iWorksheets :3Study Guides :1
Congruent Shapes
FreeCongruent shapes are shapes that are the exact same shape and size. Congruent shapes can be rotated or reflected. When 2 shapes are congruent, they have the exact same size and shape. Read more...iWorksheets :4Study Guides :1Vocabulary :1

SD.4.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

4.M.1. Apply measurement concepts in practical applications.

4.M.1.2. Application: Students are able to solve problems involving money including unit conversion.
4.M.1.2.a. Use of proper notation.
Multiplication
Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Adding Money
Amounts of money may be written in several different ways. Cents may be written with the ¢ sign and dollars can be written with the dollar sign ($). When we add money, we add the amounts and place the correct sign on the sum. Read more...iWorksheets :3Study Guides :1
Money
Money is a current medium of exchange in the form of coins and banknotes. Read more...iWorksheets :6Study Guides :1
Counting Money
What Is Money? Money is what we use to make purchases for our needs and wants. Read more...iWorksheets :7Study Guides :1
Decimals
READING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :3Study Guides :1Vocabulary :1
Giving Change from $1.00
What Is Giving Change? Change is the money you receive back when you purchase an item and give the cashier more than the item cost. To figure out the change you will receive from a purchase, simply subtract the total amount of the purchase from the amount you are giving the cashier. Read more...iWorksheets :4Study Guides :1
4.M.1.3. Application: Students are able to use scales of length, temperature, capacity, and weight.
4.M.1.3.a. Select and use the most appropriate U.S. Customary units for given measurement situations.
Measurement
Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. Read more...iWorksheets :6Study Guides :1Vocabulary :2
Measurement
FreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets :7Study Guides :1Vocabulary :3
Units of Measure
When you need to measure an object, you must decide if you are: Measuring in length, weight, or capacity, choosing the unit that makes sense to measure the object, Measuring in the customary system or the metric system. Read more...iWorksheets :3Study Guides :1
Units of Measure
What are Units of Measurement? People measure mass, volume, and length. These measurements are labeled with appropriate unit of measurement. Read more...iWorksheets :3Study Guides :1
Determine Appropriate Standard of Units
What are the Standard of Units? When measuring objects or distances, there are certain measurements of length, distance, weight, and capacity that should be used. There are customary standard of units and metric standard of units. Read more...iWorksheets :3Study Guides :1

SD.4.N. Number Sense: Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation.

4.N.1. Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.

4.N.1.1. Comprehension: Students are able to read, write, order, and compare numbers from .01 to 1,000,000.
4.N.1.1.a. Read and write word names and the appropriate symbols in mathematical sentences.
Number Words to 1,000
Numbers can be written in word form. Read more...iWorksheets :3Study Guides :1
Determine the One Operation Function
A one operation function is an equation with only one of the following operations: addition, subtraction, multiplication, or division. Read more...iWorksheets :3Study Guides :1
Number Words and Place Value
When we write numbers, the position of each digit is important. Each position is 10 more than the one before it. So, 23 means “add 2*10 to 3*1″. In the number 467: the "7" is in the Ones position, meaning 7 ones, the "6" is in the Tens position meaning 6 tens, and the "4" is in the Hundreds position. Read more...iWorksheets :3Study Guides :1
4.N.1.1.b. Use expanded form notation.
Expanding Numbers
What Are Expanding Numbers? An expanding number is taking a larger number apart and showing each number’s total value. Number 5398 in expanded form is 5000 + 300 + 90 + 8. Read more...iWorksheets :3Study Guides :1
4.N.1.3. Comprehension: Students are able to use a number line to compare numerical value of fractions or mixed numbers (fourths, halves, and thirds).
4.N.1.3.a. Identify improper fractions, proper fractions, and mixed numbers.
Add/Subtract Decimals
Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. Read more...iWorksheets :14Study Guides :1Vocabulary :1
Add/Subtract Fractions
Freeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :1
Simplify Fractions
Simplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Compare and Order Fractions
When comparing two fractions that have a common denominator, you can looks at the numerators to decide which fraction is greater Read more...iWorksheets :3Study Guides :1Vocabulary :1
Equivalent Fractions
Equivalent fractions are fractions that have EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Probability
FreeProbability is the measure of how likely an event is. Probability word problems worksheet. Read more...iWorksheets :4Study Guides :1
Fractions
Fractions can show a part of a group or part of a set. Read more...iWorksheets :4Study Guides :1
Probability
Probability is the chance of whether something will happen or not. Probability word problems worksheet. Read more...iWorksheets :3Study Guides :1
Ordering Fractions
A fraction consists of two numbers separated by a line. Read more...iWorksheets :3Study Guides :1
Subtracting Fractions
Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. Read more...iWorksheets :3Study Guides :1
Number Line
A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1
Pattern Blocks
A fraction is a part of a whole of something. Read more...iWorksheets :3Study Guides :1
Comparing Fractions
When comparing fractions, you are finding which fraction is greater and which fractions is less than the other. Similar to comparing numbers, there are symbols to use when comparing fractions. Read more...iWorksheets :4Study Guides :1Vocabulary :1
Decimals/Fractions
Express decimals as an equivalent form of fractions to tenths and hundredths Read more...iWorksheets :4Study Guides :1Vocabulary :1
Add/Subtract Fractions
What Is Addition and Subtraction of Fractions? Addition is combining two or more fractions. The term used for addition is plus. When two or more numbers, or addends, are combined they form a new number called a sum. Subtraction is “taking away” one fraction from another fraction. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :4Study Guides :1
Equivalent Fractions to 1/2
Fractions that are equivalent to ½ are fractions that have different denominators than ½, but still show half. Fractions that are equivalent to ½ can be simplified to ½. Fractions equivalent to ½ have an even number as their denominator. Read more...iWorksheets :3Study Guides :1
Fractions
The top number of a fraction is called the numerator. It shows how many pieces of a whole we are talking about. The bottom number is called the denominator. It shows how many pieces an object was divided into, or how many total pieces we have. Read more...iWorksheets :4Study Guides :1
Adding Fractions
Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. To add two fractions with the same denominator: Add the numerators and place the sum over the common denominator. Read more...iWorksheets :3Study Guides :1
4.N.1.4. Application: Students are able to interpret negative integers in temperature.
Positive & Negative Integers
Positive 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
Number Line
A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1
Temperature
What Is Temperature? Temperature is the measure of how hot or cold something is. Temperature is measured with a thermometer. Temperature is measured in degrees Celsius (ºC) or degrees Fahrenheit (ºF). Read more...iWorksheets :3Study Guides :1

4.N.2. Apply operations within the set of real numbers.

4.N.2.1. Application: Students are able to find the products of two-digit factors and quotient of two natural numbers using a one-digit divisor.
4.N.2.1.a. Recall and apply multiplication and division facts through the 12s.
Multiplication
Multiplication is similar to adding a number to itself a certain number of times. When multiplying an odd number with an odd number, the product is always an odd number. When multiplying an odd number with an even number or two even numbers, the product is always an even number. Read more...iWorksheets :15Study Guides :1
Division
What Is Division? Division is an operation that tells: how many equal sized groups, how many in each group. The number you divide by is called the DIVISOR. The number you are dividing is called the DIVIDEND. And the answer is called the QUOTIENT. Read more...iWorksheets :5Study Guides :1
4.N.2.2. Application: Students are able to add and subtract decimals with the same number of decimal places.
Add/Subtract Decimals
Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. Read more...iWorksheets :14Study Guides :1Vocabulary :1
Add/Subtract/Multiply/Divide Decimals
You 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

4.N.3. Develop conjectures, predictions, or estimations in the process of problem solving and verify or justify the results.

4.N.3.1. Application: Students are able to estimate sums and differences in whole numbers and money to determine if a given answer is reasonable.
Estimation
Estimation is an approximate calculation. Read more...iWorksheets :3Study Guides :1
Estimation
To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1

SD.4.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

4.S.1. Use statistical models to gather, analyze and display data to draw conclusions.

4.S.1.1. Application: Students are able to interpret data from graphical representations and draw conclusions.
Represent Data
You can represent data by bar graphs, pictographs and tables. Read more...iWorksheets :3Study Guides :1
Statistics
The statistical mode is the number that occurs most frequently in a set of numbers. Read more...iWorksheets :3Study Guides :1
Graphs and Tables
Using tables and graphs is a way people can interpret data. Data means information. So interpreting data just means working out what information is telling you. Information is sometimes shown in tables, charts and graphs to make the information easier to read. Read more...iWorksheets :3Study Guides :1
Graphs and Charts
What Are Graphs? A way to show information in the form of shapes or pictures. Graphs show the relationship between two sets of information. There are many different types of graphs. A few of them include bar graphs, line graphs, pictographs, and circle graphs. Read more...iWorksheets :6Study Guides :1Vocabulary :1
Tables and Graphs
What Are Bar, Circle, and Line Graphs? Bar Graphs are used to compare data. A bar graph is used to show relationships between groups. Circle Graphs are also known as Pie graphs or charts. They consist of a circle divided into parts. Line Graphs show gradual changes in data. Read more...iWorksheets :6Study Guides :1
Data Analysis
Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1
4.S.1.2. Knowledge: Given a small ordered data set of whole number data points (odd number of points), students are able to identify the median, mode, and range.
Data Analysis
Analysis of data is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information. Read more...iWorksheets :3Study Guides :1Vocabulary :1
Statistics
The statistical mode is the number that occurs most frequently in a set of numbers. Read more...iWorksheets :3Study Guides :1
Data Analysis
Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1

4.S.2. Apply the concepts of probability to predict outcomes and solve problems.

4.S.2.1. Comprehension: Students are able to determine the probability of simple events limited to equally likely and not equally likely outcomes.
Probability
FreeProbability is the measure of how likely an event is. Probability word problems worksheet. Read more...iWorksheets :4Study Guides :1
Probability
Probability is the chance of whether something will happen or not. Probability word problems worksheet. Read more...iWorksheets :3Study Guides :1
Probability
What Is Probability? Probability is the chance that a particular event will occur. There are four different ways to show the probability: One way is to show the certainty: certain, likely, somewhat likely, not likely, impossible. The other three ways are with numbers. Probability word problems worksheet. Read more...iWorksheets :3Study Guides :1
Data Analysis
Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1

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