9TH Grade Mathematics Seeing Structure in Expression

Introduction

Seeing structure in Expressions

In this lesson, students will learn to interpret the structure of expressions. In doing so, teachers need to help students understand what is meant by structure of expressions. Which means breaking down of the expressions to simplify them. Students must first be familiar with Identify the different parts of the expression. Students should be able to explain the meaning of these parts within the context of a problem. Breaking down expressions and making sense of the multiple factors and terms to explain the meaning of the individual parts help students understand the context. Students will also learn to recognize the terminology used to interpret the expressions such as terms, factors, and coefficient. Students will re-work algebraic expressions in different parallel forms by factoring or combining like terms.

Task

 

Students are the Find out ..

- What are the different parts of an expression? (ie. terms, factors, and coefficients)

- How do you write and solve quadratic expressions?

- What is the quadratic formula and complete the square?

Common Core Standards for Mathematics. (n.d.). Core Standards. Retrieved May 8, 2014, from http://www.corestandards.org/wp-content/uploads/Math_Standards.pdf

Process

      Mathematics is a series of numerical geometric skills, used to teach students mathematic language.  Each standards of mathematics is broken down into Parentheses, Equations, Multiplications, Divisions, Addictions, and Subtractions.  Students can use technology equipment to enhance their learning skills.  The main goal is to teach students the importance of problem solving using technology skills to improve their learning ability.  The knowledge and instructions will be applied through the proper learning process.

        As a ninth grade math teacher the job duties would be to ensure the mathematics skills are taught with an understanding of problem solving.  In order for students to distinguish the difference between numbers and problems.  They have to beware of the proper steps to solve math problem the goal is to give examples and practice math on a daily basis.  All rules of learning will be applied in this learning experience as well as the resources and material tools to help with assignments.  Every student will be assisted throughout the classroom with guidance and understanding of their duties as ninth graders.

        Students are to enhance their learning through the use of technology.  For example:  using a calculator to help solve problems or visualize, using strategies to solve a mathematics problem.  The only way to be an effective learner is to research and practice.   According to, (Close, 2012), “the other source is the experimental-type study, in which groups of students participate in controlled conditions in which calculators form a special part of the teaching, learning and assessment involved.

        Students will have the opportunity to work on assignments completing mathematic problems.  Ninth grade math is given to help students start off fresh, during the beginning of high school, with early learning skills in a classroom setting.  Every effort and attempt of using techniques to problem solving is accepted and addressed.  Students will be instructed to give a demonstration of their ability to stay focused and do their best.  All lines of communication will remain open for answers to any questions students may have.   Participation is required at all times within the classroom.  Math will be done using technology skills and visualization.  

Students should use the following links along with research of theirown to complete the worksheets and work given in the classroom for this webquest: 
 

http://www.virtualnerd.com/common-core/hsa-algebra/HSA-SSE-expressions-seeing-structure/A/1/1a

 

http://www.onlinemathlearning.com/algebra-terms.html

 

http://www.regentsprep.org/Regents/math/algtrig/ATE3/quadcompletesquare.htm

 

http://www.sosmath.com/algebra/quadraticeq/quadraformula/quadraformula.html

Evaluation

Evaluation Rubric 

Student Name:

Poor (0-9 points)

Fair (10-19 points)

Good (20-29 points)

Excellent (30-33(.5) points)

Accuracy
Possible Points : 33.5

Student is unable to understand the subject. The student demonstrates difficulty of completing math problems.

Has a clear perceptive of the problems. Although all the parts are not complete.

Reads and is on the right path as to answering the questions.

Outstanding work.

The students show all his/her work. Clear on how they got to the solution.

Materials (worksheets/homework) Possible Points : 33

Work is not kept together. Work is sloppy and hard to read/understand. Worksheets and other documents are not done.

Work is completely done. Work contains errors. Work is together and somewhat neat and easy to understand.

Follows instructions. Work is complete and shows few errors. Work is neat and keep together as well as easy to follow and understand.

Follows instructions completely. Work is complete and shows zero to minimal errors. Work is together, in order, easy to follow and completely understandable.

Knowledge (students shown knowledge of subject)  

Possible Points : 33.5

Student does not understand or know how to answer any of the questions asked.

Student understands to a certain extent however is limited when answering questions.

Student shows a wide variety of subject knowledge as well as can answer question asked of them with knowledge known.

Student demonstrates a deep understanding of the subject as well as can answer all questions and use their knowledge to support their work.

Conclusion

Conclusion 

               Math is one of the most difficult subjects in the common core curriculum today. Math is everywhere and as students you will use it daily. It may not be a persons faviorte subject or the most popula however through what you will have learned through this lesson and through the worksheets you will learn how to properly define expressions and how to use the quadratic formual and complete square. By learning all of these lessons one shall be able to incorporate it in the rest of their mathematics career and make it a successful one. The tools you learn from this lesson will also enhance your ability to become your own boss and have your own business. It gives you skills to manage everyday life and situations you may face. Make sure at the conclusion of your work that it is all in order and turned in with all work finished there is a rubric for this assignment and it will be followed. 

 

Credits

References

Basic Algebra Terms (with examples & videos). (n.d.). www.onlinemathlearning.com. Retrieved May 18, 2014, from http://www.onlinemathlearning.com/algebra-terms.html

Common Core Standards for Mathematics. (n.d.). Core Standards. Retrieved May 8, 2014, from http://www.corestandards.org/wp-content/uploads/Math_Standards.pdf

Close, S., Oldham, E., Shiel, G., Dooley, T., & O’Leary, M. (2012). Effects of Calculators on Mathematics Achievement and Attitudes of Ninth-Grade Students. Journal Of Educational Research, 105(6), 377-390. doi:10.1080/00220671.2011.629857

http://library.gcu.edu:2048/login?url=http://search.ebscohost.com.library.gcu.edu:2048/login.aspx?direct=true&db=a9h&AN=79877019&site=ehost-live&scope=site

Interpret parts of an expression, such as terms, factors, and coefficients.. (n.d.). Virtual Nerd: Real math help for school and home. Retrieved May 18, 2014, from http://www.virtualnerd.com/common-core/hsa-algebra/HSA-SSE-expressions-…

Quadratic Equations: Quadratic Formula. (n.d.). Quadratic Equations: Quadratic Formula. Retrieved May 16, 2014, from http://www.sosmath.com/algebra/quadraticeq/quadraformula/quadraformula…

Solving Quadratics by Completing the Square. (n.d.). Solving Quadratics by Completing the Square. Retrieved May 18, 2014, from http://www.regentsprep.org/Regents/math/algtrig/ATE3/quadcompletesquare…