Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets: 4Study Guides: 1Vocabulary Sets: 1A 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: 1Factors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1Comparing two numbers and deciding which one is greater Read more...iWorksheets: 3Study Guides: 1Figures are congruent if they are identical in every way except for their
position. Read more...iWorksheets: 3Study Guides: 1Elapsed time is the amount of time that has passed between two defined times. Read more...iWorksheets: 4Study Guides: 1Equivalent fractions are fractions that have EQUAL value. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1Estimation is an approximate calculation. Read more...iWorksheets: 3Study Guides: 1Exponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets: 6Study Guides: 1Vocabulary Sets: 1Measurement 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 Sets: 2Patterns in shapes and numbers. Read more...iWorksheets: 3Study Guides: 1A 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: 1Place value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets: 6Study Guides: 1You 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 Sets: 1A polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets: 7Study Guides: 1Vocabulary Sets: 1Positive 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: 1FreeProbability 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: 1Ratios are used to make a comparison between two things. Read more...iWorksheets: 7Study Guides: 1Vocabulary Sets: 1A whole number is a number without fractions. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1### MN.5.1. Numbers & Operation

#### 5.1.1. Divide multi-digit numbers; solve real-world and mathematical problems using arithmetic.

##### 5.1.1.1. Divide multi-digit numbers, using efficient and generalizable procedures, based on knowledge of place value, including standard algorithms. Recognize that quotients can be represented in a variety of ways, including a whole number with a remainder, a fraction or mixed number, or a decimal.

Division 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 :1Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1 ##### 5.1.1.2. Consider the context in which a problem is situated to select the most useful form of the quotient for the solution and use the context to interpret the quotient appropriately.

Division 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 ##### 5.1.1.4. Solve real-world and mathematical problems requiring addition, subtraction, multiplication and division of multi-digit whole numbers. Use various strategies, including the inverse relationships between operations, the use of technology, and the context of the problem to assess the reasonableness of results.

Multiplication 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 :1Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1The 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 :1The
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 :1Division 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 :1A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1Some word problems require more than one step to solve. These are called multi-step word problems. Read more...iWorksheets :3Study Guides :1Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1Using 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 :1FreeAdding four digit numbers. Read more...iWorksheets :3Study Guides :1Multiply and divide, writing number sentences. Read more...iWorksheets :3Study Guides :1Multiplication 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 :1Addition 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 :1What 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 :1Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1 #### 5.1.2. Read, write, represent and compare fractions and decimals; recognize and write equivalent fractions; convert between fractions and decimals; use fractions and decimals in real world and mathematical situations.

##### 5.1.2.1. Read and write decimals using place value to describe decimals in terms of groups from millionths to millions.

When putting decimals in order from least to greatest, we must look at
the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1READING, WRITING, COMPARING, AND ORDERING DECIMALS Read more...iWorksheets :3Study Guides :1Vocabulary :1You 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 :1Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1What 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 ##### 5.1.2.3. Order fractions and decimals, including mixed numbers and improper fractions, and locate on a number line.

Any fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1Comparing 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 :1When putting decimals in order from least to greatest, we must look at
the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1When 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 :1The 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 :1A 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 :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1The 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 ##### 5.1.2.4. Recognize and generate equivalent decimals, fractions, mixed numbers and improper fractions in various contexts.

Simplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets :3Study Guides :1Vocabulary :1A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1Simplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets :3Study Guides :1Fractions 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 :1The 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 :1Express decimals as an equivalent form of fractions to tenths and hundredths. Read more...iWorksheets :4Study Guides :1Vocabulary :1What 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 :1Fractions 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 ##### 5.1.2.5. Round numbers to the nearest 0.1, 0.01 and 0.001.

Rounding 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 #### 5.1.3. Add and subtract fractions, mixed numbers and decimals to solve real-world and mathematical problems.

##### 5.1.3.1. Add and subtract decimals and fractions, using efficient and generalizable procedures, including standard algorithms.

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 :1Freeis 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 :1Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1Fractions 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 :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1You 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 :1What 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 :1Fractions 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 ##### 5.1.3.2. Model addition and subtraction of fractions and decimals using a variety of representations.

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 :1Freeis 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 :1Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1Fractions 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 :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1You 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 :1What 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 :1Fractions 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 ##### 5.1.3.3. Estimate sums and differences of decimals and fractions to assess the reasonableness of results.

Estimation is the process of rounding a number either up or down to the nearest place value requested. Estimation makes it easier to perform mathematical operations quickly. Read more...iWorksheets :6Study Guides :1 ##### 5.1.3.4. Solve real-world and mathematical problems requiring addition and subtraction of decimals, fractions and mixed numbers, including those involving measurement, geometry and data.

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 :1Freeis 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 :1Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1Fractions 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 :1A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1You 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 :1What 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 :1Fractions 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 ### MN.5.2. Algebra

#### 5.2.2. Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving whole numbers.

##### 5.2.2.1. Apply the commutative, associative and distributive properties and order of operations to generate equivalent numerical expressions and to solve problems involving whole numbers.

The 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 :1The
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 :1A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1Using 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 :1Rules 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 #### 5.2.3. Understand and interpret equations and inequalities involving variables and whole numbers, and use them to represent and solve real-world and mathematical problems.

##### 5.2.3.2. Represent real-world situations using equations and inequalities involving variables. Create real-world situations corresponding to equations and inequalities.

Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1 ##### 5.2.3.3. Evaluate expressions and solve equations involving variables when values for the variables are given.

The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets :3Study Guides :1Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :6Study Guides :1 ### MN.5.3. Geometry & Measurement

#### 5.3.2. Determine the area of triangles and quadrilaterals; determine the surface area and volume of rectangular prisms in various contexts.

##### 5.3.2.1. Develop and use formulas to determine the area of triangles, parallelograms and figures that can be decomposed into triangles.

An area is the amount of surface a shape covers.

An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets :3Study Guides :1The area is the surface or space within an enclosed region. Area is
expressed in square units. Read more...iWorksheets :3Study Guides :1Vocabulary :2Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1The 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 :5Study Guides :1Calculate 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 ##### 5.3.2.2. Use various tools and strategies to measure the volume and surface area of objects that are shaped like rectangular prisms.

Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1 ##### 5.3.2.3. Understand that the volume of a three-dimensional figure can be found by counting the total number of same-sized cubic units that fill a shape without gaps or overlaps. Use cubic units to label volume measurements.

Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1What 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 :4Study Guides :1 ### MN.5.4. Data Analysis

#### 5.4.1. Display and interpret data; determine mean, median and range.

##### 5.4.1.1. Know and use the definitions of the mean, median and range of a set of data. Know how to use a spreadsheet to find the mean, median and range of a data set. Understand that the mean is a ''leveling out'' of data.

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 :1A statistic is a collection of numbers related to a specific topic. Read more...iWorksheets :6Study Guides :1The statistical mode is the number that occurs most frequently in a set of
numbers. Read more...iWorksheets :3Study Guides :1A mean of a group of numbers is the average of those numbers. Read more...iWorksheets :3Study Guides :1Collecting 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 ##### 5.4.1.2. Create and analyze double-bar graphs and line graphs by applying understanding of whole numbers, fractions and decimals. Know how to create spreadsheet tables and graphs to display data.

Tables refer to the different types of diagram used to display data.

There are many types of tables such as data table, frequency table, line chart and stern-and-leaf plot. Read more...iWorksheets :3Study Guides :1A graph is a diagram that shows information in an organized way. Read more...iWorksheets :6Study Guides :1Using 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 :1What 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 Standards

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