Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail | Title | Description | Curriculum Nodes |
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Video Tutorial: Integers, Video 3 | Video Tutorial: Integers: Integers and Absolute Value
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 3 | Video Tutorial: Integers: Integers and Absolute Value
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 3 | Video Tutorial: Integers: Integers and Absolute Value
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 4 | Video Tutorial: Integers: Comparing and Ordering Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 4 | Video Tutorial: Integers: Comparing and Ordering Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 4 | Video Tutorial: Integers: Comparing and Ordering Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 4 | Video Tutorial: Integers: Comparing and Ordering Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 4 | Video Tutorial: Integers: Comparing and Ordering Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 5 | Video Tutorial: Integers: Adding Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 5 | Video Tutorial: Integers: Adding Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 5 | Video Tutorial: Integers: Adding Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 5 | Video Tutorial: Integers: Adding Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 6 | Video Tutorial: Integers: Subtracting Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 6 | Video Tutorial: Integers: Subtracting Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 6 | Video Tutorial: Integers: Subtracting Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 6 | Video Tutorial: Integers: Subtracting Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 7 | Video Tutorial: Integers: Multiplying Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 7 | Video Tutorial: Integers: Multiplying Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 7 | Video Tutorial: Integers: Multiplying Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 7 | Video Tutorial: Integers: Multiplying Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 8 | Video Tutorial: Integers: Dividing Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 8 | Video Tutorial: Integers: Dividing Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 8 | Video Tutorial: Integers: Dividing Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 8 | Video Tutorial: Integers: Dividing Integers
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 9 | Video Tutorial: Integers: Integers and Exponents
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 9 | Video Tutorial: Integers: Integers and Exponents
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 9 | Video Tutorial: Integers: Integers and Exponents
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
Video Tutorial: Integers, Video 9 | Video Tutorial: Integers: Integers and Exponents
This is part of a series of videos on the topic of Integers. This includes defining integers, modeling integers, integer operations, and integer expressions. —PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on integers, click on this link.The following section includes background information on integers (and also rational numbers). Refer to this section as you view the videos, or as review material afterward. What Are Integers?In arithmetic you learned that whole numbers include zero and the counting numbers from 1 to infinity. |
Numerical Expressions | |
VIDEO: Brief Review, Video 1 | VIDEO: Brief Review: Integers
Watch this video about integers. (The transcript is included.) Video Transcript
Integers make up a number system that is very useful for certain types of quantities. In this video we will explore what integers are in the context of real-world situations where it makes sense to use integers for counting and measurement. Let’s start with an example. There are two mounds of dirt and one hole in the ground at a construction site. What types of numbers can be used to count the mounds and the holes? |
Numerical Expressions | |
VIDEO: Brief Review, Video 1 | VIDEO: Brief Review: Integers
Watch this video about integers. (The transcript is included.) Video Transcript
Integers make up a number system that is very useful for certain types of quantities. In this video we will explore what integers are in the context of real-world situations where it makes sense to use integers for counting and measurement. Let’s start with an example. There are two mounds of dirt and one hole in the ground at a construction site. What types of numbers can be used to count the mounds and the holes? |
Numerical Expressions | |
VIDEO: Brief Review, Video 10 | VIDEO: Brief Review: Adding and Subtracting Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 10 | VIDEO: Brief Review: Adding and Subtracting Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 10 | VIDEO: Brief Review: Adding and Subtracting Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 11 | VIDEO: Brief Review: Multiplying Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 11 | VIDEO: Brief Review: Multiplying Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 11 | VIDEO: Brief Review: Multiplying Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 12 | VIDEO: Brief Review: Dividing Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 12 | VIDEO: Brief Review: Dividing Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 13 | VIDEO: Brief Review: Applications of Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 13 | VIDEO: Brief Review: Applications of Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 13 | VIDEO: Brief Review: Applications of Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions | |
VIDEO: Brief Review, Video 14 | VIDEO: Brief Review: Addition and Subtraction Expressions
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Numerical Expressions | |
VIDEO: Brief Review, Video 14 | VIDEO: Brief Review: Addition and Subtraction Expressions
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Numerical Expressions | |
VIDEO: Brief Review, Video 14 | VIDEO: Brief Review: Addition and Subtraction Expressions
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Numerical Expressions | |
VIDEO: Brief Review, Video 15 | VIDEO: Brief Review: Multiplication Expressions
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Numerical Expressions | |
VIDEO: Brief Review, Video 15 | VIDEO: Brief Review: Multiplication Expressions
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Numerical Expressions | |
VIDEO: Brief Review, Video 16 | VIDEO: Brief Review: Division Expressions
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Numerical Expressions | |
VIDEO: Brief Review, Video 16 | VIDEO: Brief Review: Division Expressions
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Numerical Expressions | |
VIDEO: Brief Review, Video 17 | VIDEO: Brief Review: Order of Operations
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. Subtraction isn't commutative. |
Numerical Expressions | |
VIDEO: Brief Review, Video 17 | VIDEO: Brief Review: Order of Operations
Watch the following video on Order of Operations. (The transcript is included.) Video Transcript
A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division. Because addition is commutative, adding from left to right, or right to left, gives you the same result. The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations. Subtraction isn't commutative. |
Numerical Expressions |