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Learning Activities (3) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (1)

ALEX Learning Activities  
   View Standards     Standard(s): [MA2019] REG-7 (7) 6 :
6. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
[MA2019] ACC-7 (7) 12 :
12. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [Grade 7, 6]
Subject: Mathematics (7)
Title: Add Linear Expressions With Rational Coefficients
Description:

In this learning activity, students will add linear expressions using the properties of operations. The students will also have a chance to practice adding linear expressions on their own, including those that contain integer coefficients and constants as well as expressions that have rational coefficients and constants. This activity includes a review and worksheets ready to print or assign digitally. 

 

This learning activity can be used as a stand-alone activity but is best used as an After Activity. The Before and During Activities can be found in the Tools or Recommendations section.



   View Standards     Standard(s): [MA2019] REG-7 (7) 6 :
6. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
[MA2019] ACC-7 (7) 12 :
12. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [Grade 7, 6]
[MA2019] ACC-7 (7) 16 :
16. Express and compare very large or very small numbers in scientific notation. [Grade 8, 5]

a. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used, expressing answers in scientific notation. [Grade 8, 6]

b. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. [Grade 8, 6a]

c. Interpret scientific notation that has been generated by technology. [Grade 8, 6b]
Subject: Mathematics (7)
Title: Combining Like Terms With Rational Coefficients
Description:

In this learning activity, students will learn how to rewrite algebraic expressions by combining like terms. The students will apply properties of operations to add, subtract, factor, and expand linear expressions. The lesson offers a teaching video and additional problems for partner work to check for understanding. 

 

This learning activity can be used as a stand-alone activity but is best used as a core lesson activity. Corresponding activities can be found in the Tools or Recommendations section.



   View Standards     Standard(s): [MA2019] REG-7 (7) 6 :
6. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
[MA2019] ACC-7 (7) 12 :
12. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [Grade 7, 6]
[MA2019] ACC-7 (7) 16 :
16. Express and compare very large or very small numbers in scientific notation. [Grade 8, 5]

a. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used, expressing answers in scientific notation. [Grade 8, 6]

b. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. [Grade 8, 6a]

c. Interpret scientific notation that has been generated by technology. [Grade 8, 6b]
Subject: Mathematics (7)
Title: Intro to Combining Like Terms With Rational Coefficients
Description:

In this learning activity, the students will be reminded that in simple addition they learned to add all the numbers together to get a sum. In algebra, numbers are sometimes attached to variables. The students will learn that they need to make sure that the variables are alike before they can add the numbers. This learning activity can be used as a stand-alone activity but is best used as an introductory activity. Corresponding activities can be found in the Tools or Recommendations section.



ALEX Learning Activities: 3

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ALEX Classroom Resources  
   View Standards     Standard(s): [MA2019] REG-7 (7) 6 :
6. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
[MA2019] REG-7 (7) 7 :
7. Generate expressions in equivalent forms based on context and explain how the quantities are related.
Subject: Mathematics (7)
Title: Grade 7 Mathematics Module 3, Topic A: Use Properties of Operations to Generate Equivalent Equations
URL: https://www.engageny.org/resource/grade-7-mathematics-module-3-topic-overview
Description:

To begin Module 3, students will generate equivalent expressions using the fact that addition and multiplication can be done in any order with any grouping and will extend this understanding to subtraction (adding the inverse) and division (multiplying by the multiplicative inverse) (7.EE.A.1). They extend the properties of operations with numbers (learned in earlier grades) and recognize how the same properties hold true for letters that represent numbers. Knowledge of rational number operations from Module 2 is demonstrated as students collect like terms containing both positive and negative integers.

An area model is used as a tool for students to rewrite products as sums and sums as products and can provide a visual representation leading students to recognize the repeated use of the distributive property in factoring and expanding linear expressions (7.EE.A.1). Students examine situations where more than one form of an expression may be used to represent the same context, and they see how looking at each form can bring a new perspective (and thus deeper understanding) to the problem. Students recognize and use the identity properties and the existence of inverses to efficiently write equivalent expressions in standard form (2x + (-2x) + 3 = 0 + 3 = 3)(7.EE.A.2). By the end of the topic, students have the opportunity to practice Module 2 work on operations with rational numbers (7.NS.A.1, 7.NS.A.2) as they collect like terms with rational number coefficients (7.EE.A.1).


ALEX Classroom Resources: 1

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