Pre Calc Ch 8 Syllabus
Sequences, Series, and Probability
Sec 8-1 Sequences and Series
Key Terms- infinite and finite sequences, terms of a sequence, factorial, summation (sigma) notation
Students should be able to:
-write the first several terms of a sequence from an equation
-find a specific term of a sequence given an equation
-write an expression for the nth term of a sequence given the first several terms
-simplify a factorial expression
-find the sum of a series from expression given in summation (sigma) notation
-take a given series and write it in summation (sigma) notation
Sec 8-2 Arithmetic Sequences and Partial Sums
Key Terms- arithmetic, common difference, sum of arithmetic sequence
Students should be able to:
-determine if a sequence is arithmetic
-identify the common difference of an arithmetic sequence
-write a formula for the nth term of an arithmetic sequence given various information
-find specific terms to an arithmetic sequence
-find the partial sum of an arithmetic sequence
Sec 8-3 Geometric Sequences and Series
Key Terms- geometric, common ratio, finite geometric sequence, infinite geometric sequence
Students should be able to:
-identify a sequence of numbers as being in a geometric pattern
-identify the common ratio of a geometric sequence
-calculate the nth term of a geometric sequence
-write the formula of a geometric sequence
-find the sum of both finite and infinite geometric sequences
Sec 8-5 The Binomial Theorem
Key Terms- binomial coefficient, Pascal’s Triangle, binomial expansion
Students should be able to:
-calculate a binomial coefficient using Pascal’s Triangle and the formula for the binomial coefficient
-expand a binomial using the binomial theorem
-find a specified nth term of a binomial using the binomial theorem
Sec 8-6 Counting Principles
Key Terms-with replacement, without replacement, fundamental counting principle, permutation,
distinguishable permutations, combinations
Students should be able to:
-calculate permutations and combinations using the appropriate formula
-recognize the differences between permutations and combinations and the appropriate time to use each
-calculate the number of ways an event can occur in various real world applications
Sec 8-7 Probability
Key Terms- experiment, outcomes, sample space, event, probability, mutually exclusive, independent,
complement
Students should be able to :
-list all possible outcomes in a sample space for an event
-calculate the probability of an event occurring
-recognize if two events are mutually exclusive or not and calculate the probability
-determine if two events are independent
-find the complement of an event
Assignments
Book prob.- pg. 563 #1-10, 21-24, 39-46,67-72; pg. 573 #9-25odd,53-67odd; pg. 582 #1-15 odd, 2535odd, 45-71 odd; pg. 626 #1-81 odd skip 25-29,39,41; pg. 599 #21-35 odd, 47-63 odd; pg. 609 #9-51
odd; pg. 620 #4-52 mult of 4; pg. 620 #1-45 odd; pg. 628 #103-123odd
Worksheets- Arithmetic sequence/series ws; Geometric sequence/series ws; word problem ws;
permutation/combination ws; 12-3/12-4 ws; 12-5 ws
Assessments
Series/Sequence quiz
Ch 8 Test