Illustrative Math Alignment: Grade 6 Unit 1

Topic

Multiplication and Division

Definition

A false equation is a mathematical statement that shows equality between two expressions that are not equal.

Topic

Multiplication and Division

Definition

A fact family is a group of related mathematical facts using the same numbers.

Description

Fact families are sets of related addition, subtraction, multiplication, and division facts that use the same numbers. For example, the fact family for 3, 4, and 12 includes the multiplication facts 

3 × 4 = 12 and 4 × 3 = 12

and the division facts 

12 ÷ 3 = 4 and 12 ÷ 4 = 3

Topic

Multiplication and Division

Definition

A division expression is a mathematical phrase that involves division, such as 12 ÷ 3.

Topic

Multiplication and Division

Definition

The zero property of multiplication states that any number multiplied by zero equals zero.

Description

The zero property of multiplication is a fundamental concept in arithmetic that states multiplying any number by zero results in zero. For example, 

7 × 0 = 0

Topic

Multiplication and Division

Definition

A fact family is a group of related mathematical facts using the same numbers.

Description

Fact families are sets of related addition, subtraction, multiplication, and division facts that use the same numbers. For example, the fact family for 3, 4, and 12 includes the multiplication facts 

3 × 4 = 12 and 4 × 3 = 12

and the division facts 

12 ÷ 3 = 4 and 12 ÷ 4 = 3

Topic

Multiplication and Division

Definition

A fact family is a group of related mathematical facts using the same numbers.

Description

Fact families are sets of related addition, subtraction, multiplication, and division facts that use the same numbers. For example, the fact family for 3, 4, and 12 includes the multiplication facts 

3 × 4 = 12 and 4 × 3 = 12

and the division facts 

12 ÷ 3 = 4 and 12 ÷ 4 = 3

Topic

Multiplication and Division

Definition

A factor is a number that divides another number exactly without leaving a remainder.

Topic

Multiplication and Division

Definition

The associative property states that the way in which numbers are grouped does not change their sum or product.

Topic

Multiplication and Division

Definition

A false equation is a mathematical statement that shows equality between two expressions that are not equal.

Topic

Multiplication and Division

Definition

Dividing is the process of determining how many times one number is contained within another.

Topic

Multiplication and Division

Definition

A false equation is a mathematical statement that shows equality between two expressions that are not equal.

Topic

Multiplication and Division

Definition

The zero property of multiplication states that any number multiplied by zero equals zero.

Description

The zero property of multiplication is a fundamental concept in arithmetic that states multiplying any number by zero results in zero. For example, 

7 × 0 = 0

Topic

Multiplication and Division

Definition

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

Description

The distributive property is a crucial concept in algebra and arithmetic, which states that 

a(b + c) = ab + ac

Topic

Multiplication and Division

Definition

A multiplication expression is a mathematical phrase that involves multiplication, such as 5 × 7.

Description

Multiplication expressions are used to represent the multiplication of numbers in a concise form. For example, the expression 

6 × 8 

Topic

Multiplication and Division

Definition

A multiplication expression is a mathematical phrase that involves multiplication, such as 5 × 7.

Description

Multiplication expressions are used to represent the multiplication of numbers in a concise form. For example, the expression 

6 × 8 

Topic

Multiplication and Division

Definition

The identity property of multiplication states that any number multiplied by 1 remains unchanged.

Topic

Multiplication and Division

Definition

The identity property of multiplication states that any number multiplied by 1 remains unchanged.

Topic

Multiplication and Division

Definition

A true equation is a mathematical statement that asserts equality between two expressions that are equal.

Description

True equations are essential in mathematics as they represent accurate relationships between numbers and expressions. For example, the equation 

2 + 3 = 5 

Topic

Multiplication and Division

Definition

The commutative property states that the order of numbers does not change their sum or product.

Topic

Multiplication and Division

Definition

The product is the result of multiplying two or more numbers together.

Description

The product is the outcome of multiplication. For example, the product of 4 and 5 is 20. Understanding products is essential for solving problems involving multiplication and for understanding concepts such as area and volume. Products are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about products helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Topic

Multiplication and Division

Definition

The quotient is the result of dividing one number by another.

Description

The quotient is the result obtained when one number is divided by another. For example, the quotient of 20 divided by 4 is 5. Understanding quotients is essential for solving problems involving division and for understanding concepts such as fractions and ratios. Quotients are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about quotients helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Topic

Multiplication and Division

Definition

Dividing is the process of determining how many times one number is contained within another.

Topic

Multiplication and Division

Definition

The remainder is the amount left over after division when one number does not divide the other exactly.

Description

The remainder is the leftover amount after dividing one number by another. For example, 

Topic

Multiplication and Division

Definition

An odd number is a whole number that is not divisible by 2 with no remainder.

Topic

Multiplication and Division

Definition

An odd number is a whole number that is not divisible by 2 with no remainder.

Topic

Multiplication and Division

Definition

A multiple is the product of a number and a whole number.

Description

Multiples are numbers obtained by multiplying a given number by a whole number. For example, the multiples of 3 include 3, 6, 9, 12, and so on. Understanding multiples is crucial for solving problems involving patterns, sequences, and divisibility. They are used in various real-world applications, such as scheduling, where events occur at regular intervals, and in computer science for data organization. Teaching students about multiples helps them identify patterns in numbers and develop their mathematical reasoning skills.

Topic

Multiplication and Division

Definition

A factor is a number that divides another number exactly without leaving a remainder.

Topic

Multiplication and Division

Definition

A multiplication expression is a mathematical phrase that involves multiplication, such as 5 × 7.

Description

Multiplication expressions are used to represent the multiplication of numbers in a concise form. For example, the expression 

6 × 8 

Topic

Multiplication and Division

Definition

An even number is exactly divisible by 2.

Topic

Multiplication and Division

Definition

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

Description

The distributive property is a crucial concept in algebra and arithmetic, which states that 

a(b + c) = ab + ac

Topic

Multiplication and Division

Definition

A division expression is a mathematical phrase that involves division, such as 12 ÷ 3.

Topic

Multiplication and Division

Definition

A division expression is a mathematical phrase that involves division, such as 12 ÷ 3.

Topic

Multiplication and Division

Definition

A factor is a number that divides another number exactly without leaving a remainder.

Topic

Multiplication and Division

Definition

A multiple is the product of a number and a whole number.

Description

Multiples are numbers obtained by multiplying a given number by a whole number. For example, the multiples of 3 include 3, 6, 9, 12, and so on. Understanding multiples is crucial for solving problems involving patterns, sequences, and divisibility. They are used in various real-world applications, such as scheduling, where events occur at regular intervals, and in computer science for data organization. Teaching students about multiples helps them identify patterns in numbers and develop their mathematical reasoning skills.

Topic

Multiplication and Division

Definition

A multiple is the product of a number and a whole number.

Description

Multiples are numbers obtained by multiplying a given number by a whole number. For example, the multiples of 3 include 3, 6, 9, 12, and so on. Understanding multiples is crucial for solving problems involving patterns, sequences, and divisibility. They are used in various real-world applications, such as scheduling, where events occur at regular intervals, and in computer science for data organization. Teaching students about multiples helps them identify patterns in numbers and develop their mathematical reasoning skills.

Topic

Multiplication and Division

Definition

An even number is exactly divisible by 2.

Topic

Multiplication and Division

Definition

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

Description

The distributive property is a crucial concept in algebra and arithmetic, which states that 

a(b + c) = ab + ac

Topic

Multiplication and Division

Definition

An odd number is a whole number that is not divisible by 2 with no remainder.

Topic

Multiplication and Division

Definition

The remainder is the amount left over after division when one number does not divide the other exactly.

Description

The remainder is the leftover amount after dividing one number by another. For example, 

Topic

Multiplication and Division

Definition

A true equation is a mathematical statement that asserts equality between two expressions that are equal.

Description

True equations are essential in mathematics as they represent accurate relationships between numbers and expressions. For example, the equation 

2 + 3 = 5 

Topic

Multiplication and Division

Definition

The commutative property states that the order of numbers does not change their sum or product.

Topic

Multiplication and Division

Definition

The associative property states that the way in which numbers are grouped does not change their sum or product.

Topic

Multiplication and Division

Definition

The commutative property states that the order of numbers does not change their sum or product.

Topic

Multiplication and Division

Definition

The quotient is the result of dividing one number by another.

Description

The quotient is the result obtained when one number is divided by another. For example, the quotient of 20 divided by 4 is 5. Understanding quotients is essential for solving problems involving division and for understanding concepts such as fractions and ratios. Quotients are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about quotients helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Topic

Multiplication and Division

Definition

The product is the result of multiplying two or more numbers together.

Description

The product is the outcome of multiplication. For example, the product of 4 and 5 is 20. Understanding products is essential for solving problems involving multiplication and for understanding concepts such as area and volume. Products are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about products helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Topic

Multiplication and Division

Definition

An array is a systematic arrangement of objects, typically in rows and columns.

Topic

Multiplication and Division

Definition

An array is a systematic arrangement of objects, typically in rows and columns.

Topic

Multiplication and Division

Definition

Skip counting is the process of counting forward by numbers other than one, such as by 2s, 5s, or 10s.

Topic

Multiplication and Division

Definition

An array is a systematic arrangement of objects, typically in rows and columns.

Topic

Multiplication and Division

Definition

The associative property states that the way in which numbers are grouped does not change their sum or product.