Standard #: MAFS.6.EE.1.3 (Archived Standard)

Students are asked to write equivalent expressions using the Distributive Property.

Students are asked to generate and justify an expression equivalent to a given one using the properties of operations.

Students are asked to write expressions equivalent to a given one by using the Associative and Commutative Properties.

In this lesson, students will build upon their arithmetic experiences with the distributive property to equate algebraic expressions through a series of questions related to real world situations and the use of manipulatives. Activities include the use of Algebra Tiles for moving the concrete learner to the abstract level and the use of matching cards.
This is an introductory lesson that only includes producing equivalent expressions such as 3(2 + x) = 6 + 3x.

In this lesson, students will examine and experience collecting like terms through an analogy to real world situations and the use of manipulatives. Activities include the use of Algebra Tiles for transitioning a concrete experience to the abstract level and a card-matching activity.

This lesson unit is intended to help you assess how well students are able to translate between words, symbols, tables, and area representations of algebraic expressions. It will help you to identify and support students who have difficulty in recognizing the order of algebraic operations, recognizing equivalent expressions and understanding the distributive laws of multiplication and division over addition (expansion of parentheses).

In this lesson, students will use the properties of operations to generate and identify equivalent algebraic expressions. Students will apply their prior knowledge of the distributive property and combining like terms to create equivalent algebraic expressions. The hands-on memory "match" game will engage students and support student understanding of algebraic thinking.

Introductory lesson on the distributive property using word problems as context for area models.

Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

• MacCoder’s Farm Part 1: Declare Variables
• MacCoder’s Farm Part 2: Condition Statements
• MacCoder's Farm Part 3: IF Statements

The purpose of this task is to ask students to write expressions and to consider what it means for two expressions to be equivalent.

This problem asks the student to evaluate three numerical expressions that contain the same integers yet have differing results due to placement of parentheses.

The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem.

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

In this video, you will practice using arithmetic properties with integers to determine if expressions are equivalent.

Learn how to apply the distributive law of multiplication over addition and why it works. This is sometimes just called the distributive law or the distributive property.

Learn how to apply the distributive property of multiplication over subtraction. This is sometimes just called the distributive property or distributive law.

Learn how to apply the distributive property to algebraic expressions.

Students will simplify an expression by combining like terms.  

This tutorial is an explanation on how to combine like terms in algebra. 

This is an introduction to combining like terms in this tutorial.

The distributive property states that the terms of addition or subtraction statements within parentheses may be separately multiplied by a value outside the parentheses. In this tutorial, students will learn the distributive property, which is very helpful with mental math calculations and solving equations.

Take a look at the logic behind the associative and distributive properties of multiplication.

A look behind the fundamental properties of the most basic arithmetic operation, addition

The commutative property is common to the operations of both addition and multiplication and is an important property of many mathematical systems.

Learn how to apply the distributive property to factor numerical expressions.

Explore computer coding on the farm by using IF statements and repeat loops to evaluate mathematical expressions. In this interactive tutorial, you'll also solve problems involving inequalities.

Click below to check out the other tutorials in the series.

• MacCoder’s Farm Part 1: Declare Variables
• MacCoder’s Farm Part 2: Condition Statements
• MacCoder's Farm Part 3: IF Statements

The purpose of this task is to ask students to write expressions and to consider what it means for two expressions to be equivalent.

The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem.

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

In this video, you will practice using arithmetic properties with integers to determine if expressions are equivalent.

Learn how to apply the distributive law of multiplication over addition and why it works. This is sometimes just called the distributive law or the distributive property.

Learn how to apply the distributive property of multiplication over subtraction. This is sometimes just called the distributive property or distributive law.

Learn how to apply the distributive property to algebraic expressions.

Students will simplify an expression by combining like terms.  

This tutorial is an explanation on how to combine like terms in algebra. 

This is an introduction to combining like terms in this tutorial.

The distributive property states that the terms of addition or subtraction statements within parentheses may be separately multiplied by a value outside the parentheses. In this tutorial, students will learn the distributive property, which is very helpful with mental math calculations and solving equations.

Take a look at the logic behind the associative and distributive properties of multiplication.

A look behind the fundamental properties of the most basic arithmetic operation, addition

The commutative property is common to the operations of both addition and multiplication and is an important property of many mathematical systems.

The purpose of this task is to ask students to write expressions and to consider what it means for two expressions to be equivalent.

The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem.

The distributive property states that the terms of addition or subtraction statements within parentheses may be separately multiplied by a value outside the parentheses. In this tutorial, students will learn the distributive property, which is very helpful with mental math calculations and solving equations.