Illustrative Math Alignment: Grade 6 Unit 1

Topic

Integers

Description

This video focuses on finding distances between points using absolute value. Key concepts include absolute value, distance on a number line, and integer representation of vertical movement. Vocabulary: absolute value, number line, distance. Applications include determining changes in altitude, depth, or height in real-world examples like kite flights and submersible movements.

Topic

Integers

Description

This video focuses on finding distances between points using absolute value. Key concepts include absolute value, distance on a number line, and integer representation of vertical movement. Vocabulary: absolute value, number line, distance. Applications include determining changes in altitude, depth, or height in real-world examples like kite flights and submersible movements.

Topic

Integers

Description

This video focuses on finding distances between points using absolute value. Key concepts include absolute value, distance on a number line, and integer representation of vertical movement. Vocabulary: absolute value, number line, distance. Applications include determining changes in altitude, depth, or height in real-world examples like kite flights and submersible movements.

Topic

Integers

Description

The video explores methods to compare and order integers, emphasizing their positions on a number line. Key concepts include absolute value, ordering integers, and using relational symbols like greater than and less than. Vocabulary: compare, order, greater than, less than, absolute value. Applications include arranging divers' depths and organizing integers in increasing order.

Topic

Integers

Description

The video explores methods to compare and order integers, emphasizing their positions on a number line. Key concepts include absolute value, ordering integers, and using relational symbols like greater than and less than. Vocabulary: compare, order, greater than, less than, absolute value. Applications include arranging divers' depths and organizing integers in increasing order.

Topic

Integers

Description

The video explores methods to compare and order integers, emphasizing their positions on a number line. Key concepts include absolute value, ordering integers, and using relational symbols like greater than and less than. Vocabulary: compare, order, greater than, less than, absolute value. Applications include arranging divers' depths and organizing integers in increasing order.

Topic

Integers

Description

The video explores methods to compare and order integers, emphasizing their positions on a number line. Key concepts include absolute value, ordering integers, and using relational symbols like greater than and less than. Vocabulary: compare, order, greater than, less than, absolute value. Applications include arranging divers' depths and organizing integers in increasing order.

Topic

Integers

Description

The video explores methods to compare and order integers, emphasizing their positions on a number line. Key concepts include absolute value, ordering integers, and using relational symbols like greater than and less than. Vocabulary: compare, order, greater than, less than, absolute value. Applications include arranging divers' depths and organizing integers in increasing order.

Topic

Integers

Description

This video explains integer addition using examples and visual tools. Key concepts include adding positive and negative integers, integer jumps on a number line, and zero pairs. Vocabulary: add, negative integer, positive integer, zero pairs. Applications involve altitude corrections, depth calculations, and modeling integer addition with algebra tiles.

Topic

Integers

Description

This video explains integer addition using examples and visual tools. Key concepts include adding positive and negative integers, integer jumps on a number line, and zero pairs. Vocabulary: add, negative integer, positive integer, zero pairs. Applications involve altitude corrections, depth calculations, and modeling integer addition with algebra tiles.

Topic

Integers

Description

This video explains integer addition using examples and visual tools. Key concepts include adding positive and negative integers, integer jumps on a number line, and zero pairs. Vocabulary: add, negative integer, positive integer, zero pairs. Applications involve altitude corrections, depth calculations, and modeling integer addition with algebra tiles.

Topic

Integers

Description

This video explains integer addition using examples and visual tools. Key concepts include adding positive and negative integers, integer jumps on a number line, and zero pairs. Vocabulary: add, negative integer, positive integer, zero pairs. Applications involve altitude corrections, depth calculations, and modeling integer addition with algebra tiles.

Topic

Integers

Description

This video introduces subtracting integers and interpreting results using number lines. Key concepts include subtracting positive and negative integers, and temperature range calculations. Vocabulary: subtract, negative integer, positive integer, temperature range. Applications include finding temperature changes, vertical distances, and differences between opposites.

Topic

Integers

Description

This video introduces subtracting integers and interpreting results using number lines. Key concepts include subtracting positive and negative integers, and temperature range calculations. Vocabulary: subtract, negative integer, positive integer, temperature range. Applications include finding temperature changes, vertical distances, and differences between opposites.

Topic

Integers

Description

This video introduces subtracting integers and interpreting results using number lines. Key concepts include subtracting positive and negative integers, and temperature range calculations. Vocabulary: subtract, negative integer, positive integer, temperature range. Applications include finding temperature changes, vertical distances, and differences between opposites.

Topic

Integers

Description

This video introduces subtracting integers and interpreting results using number lines. Key concepts include subtracting positive and negative integers, and temperature range calculations. Vocabulary: subtract, negative integer, positive integer, temperature range. Applications include finding temperature changes, vertical distances, and differences between opposites.

Topic

Integers

Description

The video explains integer multiplication through examples and visual aids like arrays. Key concepts include rules for multiplying positive and negative integers. Vocabulary: multiply, array, Cartesian plane. Applications include calculating distances drilled by oil derricks, financial debits, and credits.

Topic

Integers

Description

The video explains integer multiplication through examples and visual aids like arrays. Key concepts include rules for multiplying positive and negative integers. Vocabulary: multiply, array, Cartesian plane. Applications include calculating distances drilled by oil derricks, financial debits, and credits.

Topic

Integers

Description

The video explains integer multiplication through examples and visual aids like arrays. Key concepts include rules for multiplying positive and negative integers. Vocabulary: multiply, array, Cartesian plane. Applications include calculating distances drilled by oil derricks, financial debits, and credits.

Topic

Integers

Description

The video explains integer multiplication through examples and visual aids like arrays. Key concepts include rules for multiplying positive and negative integers. Vocabulary: multiply, array, Cartesian plane. Applications include calculating distances drilled by oil derricks, financial debits, and credits.

Topic

Integers

Description

This video covers integer division and introduces cases where the quotient is not an integer. Key concepts include dividing positive and negative integers, and understanding rational numbers. Vocabulary: divide, quotient, rational numbers. Applications include sharing resources and modeling division on Cartesian planes.

Topic

Integers

Description

This video covers integer division and introduces cases where the quotient is not an integer. Key concepts include dividing positive and negative integers, and understanding rational numbers. Vocabulary: divide, quotient, rational numbers. Applications include sharing resources and modeling division on Cartesian planes.

Topic

Integers

Description

This video covers integer division and introduces cases where the quotient is not an integer. Key concepts include dividing positive and negative integers, and understanding rational numbers. Vocabulary: divide, quotient, rational numbers. Applications include sharing resources and modeling division on Cartesian planes.

Topic

Integers

Description

This video covers integer division and introduces cases where the quotient is not an integer. Key concepts include dividing positive and negative integers, and understanding rational numbers. Vocabulary: divide, quotient, rational numbers. Applications include sharing resources and modeling division on Cartesian planes.

Topic

Integers

Description

This video discusses the properties of integers in exponentiation. Key concepts include integer powers, inverse square relationships, and manipulating terms with positive and negative exponents. Vocabulary: exponent, cube, inverse square. Applications include calculating cube volumes and understanding gravitational effects.

Topic

Integers

Description

This video discusses the properties of integers in exponentiation. Key concepts include integer powers, inverse square relationships, and manipulating terms with positive and negative exponents. Vocabulary: exponent, cube, inverse square. Applications include calculating cube volumes and understanding gravitational effects.

Topic

Integers

Description

This video discusses the properties of integers in exponentiation. Key concepts include integer powers, inverse square relationships, and manipulating terms with positive and negative exponents. Vocabulary: exponent, cube, inverse square. Applications include calculating cube volumes and understanding gravitational effects.

Topic

Integers

Description

This video discusses the properties of integers in exponentiation. Key concepts include integer powers, inverse square relationships, and manipulating terms with positive and negative exponents. Vocabulary: exponent, cube, inverse square. Applications include calculating cube volumes and understanding gravitational effects.

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?

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?

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

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.

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.