Algebra: Pan Balance - Expressions



Curator: Jamie Bailey

This site allows for students to learn the concept of expanding algebraic expressions.  It breaks the concept down into terms and words the students can easily understand.

Grade Level: grades 8 -12
PSSM Content Standard: Algebra
CCSSM Content Standard: CCSS.Math.Content.HSA-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Math Content:linear equations


Evaluation



What is being learned? What mathematics is the focus of the activity/technology? Is relational or instrumental understanding emphasized?

The content being learned is how to expand an algebraic equation to help solve the problem.  The activity first explains the how to do the problem and then it provides a set of questions for the students to complete.  This is relational learning because it is a new concept that is being taught and then practicing the steps after.



How does learning take place? What are the underlying assumptions (explicit or implicit) about the nature of learning?

The learning takes place with reading about the skill and then applying it to some practice problems.  There is the assumption that the student knows the order of operations.



What role does technology play? What advantages or disadvantages does the technology hold for this role? What unique contribution does the technology make in facilitating learning?

The role of technology in this allows for students to go back and review missed problems.  They can try various equations and putting them in expanded form, for every missed question they can review the instructions by going back to the main screen. This is an advantage because not only does the instruction screen have words explanation but also provides videos to aid in student learning.  The combination of learning ensures that all learning styles are accommodated.


How does it fit within existing school curriculum? (e.g., is it intended to supplement or supplant existing curriculum? Is it intended to enhance the learning of something already central to the curriculum or some new set of understandings or competencies?)

This applet can be used to supplant existing curriculum.  The intended learning is that the students can discover the principles to expressions through exploration.


How does the technology fit or interact with the social context of learning? (e.g., Are computers used by individuals or groups? Does the technology/activity support collaboration or individual work? What sorts of interaction does the technology facilitate or hinder?)

The technology keeps the students working independently with the occasional group interaction.  Students are able to work by themselves and gather help from their peers when needed.  The basis of the site is for independent learning.


How are important differences among learners taken into account?

Learner differences are taken into account by explaining the principles of expressions.  The students are also able to work at their pace so that discovery can be made without the fear of getting left behind.


What do teachers and learners need to know? What demands are placed on teachers and other "users"? What knowledge is needed? What knowledge supports does the innovation provide (e.g., skills in using particular kinds of technology)?

Not much demand is placed on the teacher for this lesson because the site guides the students through the information making the teacher’s role for of a facilitator’s role.  This allows for technology to be crucial to student learning for this concept.

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