SUGGESTED RUBRIC ADVANCED MATH II E08

Student Name: ______Date: ______

  • To receive a ‘B’, the student must show ‘B’ level mastery on all essential outcomes (TSWs).
  • The teacher’s discretion on the student’s holistic performance on the unit, including such items as: the above ‘A level rubric, the unit project, group work and class discussions will determine ‘A’ level mastery.

TSW / ‘A’* LEVEL / ‘B’ LEVEL / Comments
  1. The Student Will find the nth term and the nth partial sum of a sequence.
/ TSW find the nth term and the nth partial sum of a sequence.
  1. TSW find the terms of a recursively-defined sequence
/ TSW create a recursively-defined function given a sequence of terms. / TSW find the terms of a recursively-defined sequence
  1. TSW write a summation using Sigma Notation.
/ TSW write a summation using Sigma Notation.
  1. TSW recognize arithmetic sequences and series, identify the initial term and common difference, and utilize appropriate formula to calculate nth terms and nth partial sums.
/ TSW find the nth term and the nth partial sum of an arithmetic sequence given any two terms of the sequence. / TSW find the nth term and the nth partial sum of a sequence given the first term and common difference.
  1. TSW recognize geometric sequences and series, identify the initial term and common ratio, and utilize appropriate formulas to calculate nth terms and nth partial sums.
/ TSW find the nth term and the nth partial sum of a geometric sequence given any two terms of the sequence. / TSW recognize geometric sequences and series, identify the initial term and common ratio, and utilize appropriate formulas to calculate nth terms and nth partial sums.
  1. TSW determine if there exists a finite sum to an infinite geometric series, and if so, calculate this sum.
/ TSW justify why a geometric series is finite versus infinite. / TSW determine if there exists a finite sum to an infinite geometric series, and if so, calculate this sum.
  1. TSW make mathematical conjectures by observation and then prove them using the Principal of Mathematical Induction.
/ TSW make mathematical conjectures by observation and then prove them using the Principal of Mathematical Induction.
  1. TSW use the binomial theorem to expand a binomial of the form (x+y)n.
/ TSW find a specific term (the constant term or the quadratic term) of the product of two binomial expansions without needing to expand the full binomial. [For example: Find the coefficient in front of x2 for (2x-4)4(3x+5)6 ] / TSW use the binomial theorem to expand a binomial of the form (x+y)n.
  1. TSW engage in one or more interactive activities or projects that requires inquiry, analysis, application and/or interpretation of unit objectives (TSWs).
  2. Particularly make sure to cover: TSW calculate the amount of an annuity, mortgage payment, car payments, interest rates and similar real life financial application problems. [12.4, pp. 808]
/ The teacher should assess for mastery with an individualized rubric for the assignment.

QSI ADV MATHEMATICS II E08 RUBRIC

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