# ALEX Learning Activity

## Balancing Act

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

You may save this Learning Activity to your hard drive as an .html file by selecting “File”,then “Save As” from your browser’s pull down menu. The file name extension must be .html.
This learning activity provided by:
 Author: Kimberly Dockery System: Alabama Department of Education School: Alabama Department of Education
General Activity Information
 Activity ID: 2706 Title: Balancing Act Digital Tool/Resource: Illuminations Pan Balance-Expressions Web Address – URL: https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Pan-Balance----Expressions/ Overview: In this activity, students will create equivalent expressions using an online tool. Students are provided two expressions and asked to find the value of the variable to make the two expressions equal. Then, students are provided an expression and a value of the variable and asked to generate a different expression equal to the original expression. Through the online digital tool, students are able to substitute values and develop strategies for creating equivalent expressions. This provides a great opportunity for students to investigate how to solve problems using multiple methods.Balancing Act Student Response Page
Associated Standards and Objectives
Content Standard(s):
 Digital Literacy and Computer Science DLIT (2018) Grade: 7 27) Identify data needed to create a model or simulation of a given event. Examples: When creating a random name generator, the program needs access to a list of possible names. Unpacked Content Evidence Of Student Attainment:Students will: select a process or system and then determine the data needed to create a model or simulation of the process or system.Knowledge:Students know: an event is comprised of a set of steps or processes that can be identified and then simulated.Skills:Students are able to: abstract the sequence of activities that make up an event.Understanding:Students understand that: dissecting the parts of an event can aid in understanding of and the simulation of the event. Mathematics MA2019 (2019) Grade: 7 7. Generate expressions in equivalent forms based on context and explain how the quantities are related. Unpacked Content Evidence Of Student Attainment:Students: Write an expression for a situation and determine equivalent expressions for the same situation.Teacher Vocabulary:like terms Equivalent expressions Distributive property FactorKnowledge:Students know: properties of operations can be used to identify or create equivalent linear expressions. Equivalent expressions can reveal real-world and mathematical relationships, and some forms of equivalent expressions can provide more insight than others.Skills:Students are able to: determine whether two expressions are equivalent. Rewrite expressions into equivalent forms by combining like terms, using the distributive property, and factoring.Understanding:Students understand that: rewriting expressions in multiple equivalent forms allows for thinking about problems in different ways and highlights different aspects/relationships of quantities in problems.Diverse Learning Needs: Essential Skills:Learning Objectives: M.7.7.1: Define expression, equivalent, and equivalent expressions. M.7.7.2: Recall mathematical terms such as sum, difference, etc. M.7.7.3: Recognize that a variable without a written coefficient is understood to have a coefficient of one. M.7.7.4: Recall how to convert mathematical terms to mathematical symbols and numbers and vice versa. M.7.7.5: Restate numerical expressions with words. Prior Knowledge Skills:Define equivalent expressions. Recognize equivalent expressions. Recognize that a variable without a written coefficient is understood to be one. Convert mathematical terms to mathematical symbols and numbers (Ex. sum: +, difference: -; product: ·, quotient: ÷). Alabama Alternate Achievement Standards AAS Standard: M.AAS.7.7 Match equivalent expressions using the properties of operations. M.AAS.7.7a Identify a pattern in a sequence of whole numbers with a whole number common difference (e.g. when skip counting by 5, the whole number common difference is 5).
Learning Objectives:

Students will use an online tool to create equivalent expressions.

Students will determine the value of a variable to create equivalent expressions.

When given the value of a variable and an expression, the student will generate a different expression equivalent to the original expression.

Strategies, Preparations and Variations