Chapter 7 Polynomial Box Problems Reflection

Need Extra Help or Computer Access for Tenmarks?
I will be in the computer lab room 108 for tutoring help every Tuesday and Thursday until 3 pm if you need help, want to work with someone else, or just use the computer to catch up on tenmarks.  The final exam is just around the corner.

Homework Consistency
About 1/4 of our class has completed all tenmarks assessments and had complete enough homework that I can tell they know the Fundamental Theorem of Algebra (7.4 complex coefficient problems).  But most of you have not.  In addition, there are review problems sprinkled in the homework, like Tangent Graphs, Law of Sines/Cosines, etc.  

Those of us not completing accurate graphs with labeled key features and step-by-step work for old material will not get full HW credit.  More importantly, you are not practicing old material to be ready for the final.

In other words, most of you need to do the most recent HWs and make up any old tenmarks assignments by Tuesday, including those "old" problems.

Analysis of where we are at in Chapter 7
Below is a chart I made for a workshop I am going to tomorrow but it is about our class, so take a look.  I reviewed the recent quizzes and HWs and scored each standard out of 4.  To get more 4's for synthetic division, I need to see how you do with the "complex" coefficient problems.   Word problem box problems and graphing generally looks good.  Numbers would be higher if I had more completed work, especially homework. 

Next Steps include more factoring to solve polynomials and moving on to Rational functions

Take a look.   The left column of the table is essentially a study guide of what you need to know:

:                                        

Essential Learning Outcome:  Model and Solve Real-Life Situations using Polynomials  -- >  “Box” Problems/Volume Applications in Context - Write polynomial, interpret graph, solve
Learning Targets and Relevant Problems                  I can…                                                                           STANDARD	Whole Class Observations
Numerically                                                                      CC9-12.A.APR.2   I can perform polynomial long division and synthetic division / substitution, and understand /can apply the factor and remainder theorems.  7.1 Synthetic Division Assessment (4 problems) and Poly Quiz #1 7.1 Problems Sets (HW)	85% of class consistently performing synthetic division accurately and understand the purpose of the  remainder theorem   Some clarity needed in evaluating using synthetic substitution Only 4 students at level 4 (Homework 7.4 needed to show Fundamental Theorem of Algebra (problems with complex coefficients )
Graphically                                                                       CC9-12.A.APR.3   Sketch the graph of polynomial functions by identifying zeros and understand the behavior near those zeros and as x approaches +/- infinity   7.2 Graphing Assessment 7.2 Problem Sets (HW) and mixed assessment problems	65% of class showing consistent graphical understanding.  Students without graphing calculators (a few non-HW completers) haven’t shown much understanding but seem to have partial understanding   Some students over relying on graphing calculator
Algebraically/Analytically                                                CC9-12.A.SSE.2      Recognize and rewrite polynomials as special products (FACTORS)        to find zeros of polynomial functions.  Examples:  Factor by grouping, Difference of Two Cubes, factor completely 7.3 Polynomials Application Quiz #3, 7.3/7.4 Problem Sets (HW) and mixed assessment problems	50% have shown strong factoring capabilities. Haven’t assigned many multi-step factoring problems but it came up in earlier chapters.   Need to assign more factor by grouping , factoring completely, and difference of squares/cubes.   Many common errors when depressed polynomial is NOT FACTORABLE (need to apply quad formula for irrational or complex solutions)
Making Sense of Problems/Model Using Mathematics    CC9-12.A.SSE.1  Write expressions to represent length, width, and height in a volume function and interpret the meaning of these expressions in a polynomial Apply appropriate tools strategically 7.3 Polynomials Assessment #3    HW 7.3/27-33 word problems	65% of class able to consistently set up/solve  volume problems leading to polynomials.   Box volume problems seem to be understood.  Some students not confident in setting up word problems from other contexts.  Solving process seems strong.

 

Other Comments:  ___________________ ______________________ # Exceeds ___   #Meets ____    #Nearly  ____    #Not Meeting _____      

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