Standard 1 : Rewrite algebraic expressions in equivalent forms.



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General Information

Number: MA.7.AR.1
Title: Rewrite algebraic expressions in equivalent forms.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 7
Strand: Algebraic Reasoning

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.7.AR.1.1: Apply properties of operations to add and subtract linear expressions with rational coefficients.
Clarifications:
Clarification 1: Instruction includes linear expressions in the form ax±b or b±ax, where a and b are rational numbers.

Clarification 2: Refer to Properties of Operations, Equality and Inequality (Appendix D).

MA.7.AR.1.2: Determine whether two linear expressions are equivalent.
Clarifications:
Clarification 1: Instruction includes using properties of operations accurately and efficiently.

Clarification 2: Instruction includes linear expressions in any form with rational coefficients.

Clarification 3: Refer to Properties of Operations, Equality and Inequality (Appendix D).



Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MA.7.AR.1.AP.1: Add and subtract linear expressions that include like terms.
MA.7.AR.1.AP.2: Use tools or manipulatives to compare two linear expressions, with no more than two operations, to determine whether they are equivalent.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Original Student Tutorial

Name Description
Math Soup: Creating Equivalent Expressions by Combining Like Terms :

Learn how to combine like terms to create equivalent expressions in this cooking-themed, interactive tutorial.

Formative Assessments

Name Description
Equivalent Perimeters:

Students are asked to solve a geometric problem by simplifying an algebraic expression.

Rectangle Expressions:

Students are given equivalent expressions with rational coefficients and asked to explain what each expression represents within the context of the problem.

Explain Equivalent Expressions:

Students are given equivalent expressions with rational coefficients and asked to explain what each expression represents within the context of a problem.

Equivalent Rational Expressions:

Students are given a polynomial with rational coefficients and asked to identify equivalent expressions from a given list.

Identify Equivalent Multistep Expressions:

Students are given an expression and are asked to identify expressions equivalent to it.

Perspectives Video: Teaching Idea

Name Description
Multiplying Polynomials:

Unlock an effective teaching strategy for teaching multiplying polynomials in this Teacher Perspectives video for educators.

Problem-Solving Tasks

Name Description
Equivalent Expressions?:

Students are asked to determine if two expressions are equivalent and explain their reasoning.

Miles to Kilometers:

In this task students are asked to write two expressions from verbal descriptions and determine if they are equivalent. The expressions involve both percent and fractions. This task is most appropriate for a classroom discussion since the statement of the problem has some ambiguity.

Tutorial

Name Description
Combining Like Terms Introduction:

This introductory video teaches about combining like terms in linear equations.



Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Original Student Tutorial

Title Description
Math Soup: Creating Equivalent Expressions by Combining Like Terms :

Learn how to combine like terms to create equivalent expressions in this cooking-themed, interactive tutorial.

Problem-Solving Tasks

Title Description
Equivalent Expressions?:

Students are asked to determine if two expressions are equivalent and explain their reasoning.

Miles to Kilometers:

In this task students are asked to write two expressions from verbal descriptions and determine if they are equivalent. The expressions involve both percent and fractions. This task is most appropriate for a classroom discussion since the statement of the problem has some ambiguity.

Tutorial

Title Description
Combining Like Terms Introduction:

This introductory video teaches about combining like terms in linear equations.



Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

Problem-Solving Tasks

Title Description
Equivalent Expressions?:

Students are asked to determine if two expressions are equivalent and explain their reasoning.

Miles to Kilometers:

In this task students are asked to write two expressions from verbal descriptions and determine if they are equivalent. The expressions involve both percent and fractions. This task is most appropriate for a classroom discussion since the statement of the problem has some ambiguity.