Standard #: MAFS.6.EE.1.4 (Archived Standard)


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Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.


General Information

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Expressions & Equations
Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Numbers in items must be nonnegative rational numbers. Variables must be included in the expression.
    Calculator :

    No

    Context :

    No context





Related Courses

Course Number1111 Course Title222
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7912110: Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))


Related Resources

Formative Assessments

Name Description
Property Combinations

Students are asked to identify expressions equivalent to a given expression and justify their responses.

Equivalent Expressions

Students are asked to determine if pairs of expressions are equivalent and to justify their responses.

Equivalent Exponents

Students are asked to identify expressions equivalent to a given exponential expression and justify their responses.

Identifying Equivalent Expressions

Students are asked to identify expressions equivalent to a given expression and justify their responses.

Lesson Plans

Name Description
M&Ms and Equivalent Expressions

In this lesson, students use M&Ms and equation mats to explore the equivalency of pairs of expressions. Then they show pairs of expressions are equivalent using properties of operations. For those that are not equivalent, they provide a counterexample.

Interpreting Algebraic Expressions

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).

Have You Met Your Match?-Understanding Equivalent Expressions

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.

The Distributive Property

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

Original Student Tutorial

Name Description
MacCoder's Farm Part 4: Repeat Loops

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.

Problem-Solving Tasks

Name Description
Rectangle Perimeter 2

Students are asked to determine if given expressions are equivalent.

Rectangle Perimeter 3

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

Distance to School

This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible.

Equivalent Expressions

Students are asked to use properties of operations to match expressions that are equivalent and to write equivalent expressions for any expressions that do not have a match.

Teaching Idea

Name Description
True, False, and Open Sentences

"Students first explore arithmetic sentences to decide whether they are true or false. The lesson then introduces students to sentences that are neither true nor false but are algebraic equations, also called open sentences, such as x + 3 = 7 or 2 x = 12." from Math Solutions.

Tutorials

Name Description
Applying Arithmetic Properties with Negative Numbers

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

Solving Equations with One Variable

This Khan Academy presentation models solving two-step equations with one variable.

Unit/Lesson Sequence

Name Description
Using the Laws of Arithmetic This lesson unit helps teachers assess how students perform arithmetic operations, write and evaluate numerical expression s from diagrammatic representations, apply the distributive and commutative properties, and find areas of compound rectangles. The time for the lesson is broken into a 15 minute pre-lesson task, an 80 minute lesson (or two 40 minute lessons), and a 15 minute follow up lesson or homework. Individual students will need a copy of the two tasks, a mini-whiteboard, a pen, and an eraser. Each small group will need cut-up copies of the card sets, a large sheet of poster-sized paper, and a glue stick.

Student Resources

Original Student Tutorial

Name Description
MacCoder's Farm Part 4: Repeat Loops:

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.

Problem-Solving Tasks

Name Description
Rectangle Perimeter 2:

Students are asked to determine if given expressions are equivalent.

Rectangle Perimeter 3:

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

Distance to School:

This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible.

Equivalent Expressions:

Students are asked to use properties of operations to match expressions that are equivalent and to write equivalent expressions for any expressions that do not have a match.

Tutorials

Name Description
Applying Arithmetic Properties with Negative Numbers:

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

Solving Equations with One Variable :

This Khan Academy presentation models solving two-step equations with one variable.



Parent Resources

Problem-Solving Tasks

Name Description
Rectangle Perimeter 2:

Students are asked to determine if given expressions are equivalent.

Rectangle Perimeter 3:

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

Distance to School:

This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible.

Equivalent Expressions:

Students are asked to use properties of operations to match expressions that are equivalent and to write equivalent expressions for any expressions that do not have a match.



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