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Foundations of Mathematics 30

Foundations of Mathematics 30 is divided into seven units. It meets the required outcomes outlined by Saskatchewan Learning. Students will require a TI-83 or TI-84 calculator in order to complete this course. This workbook series was developed for use by schools using an individualized, mastery-based learning system, and therefore comes with score keys, tests, and test keys. No additional text is necessary.


Unit 1: Financial Mathematics: Credit, Loans, and Tax

Upon completion of this unit, the student should be able to:

  • calculate the monthly interest charges and service charges on an unpaid credit card
  • identify and compare an instalment charge account and a thirty-day account
  • calculate the monthly payments, total cost, and interest paid on a personal loan
  • calculate mill rates, property taxes and discounts on taxes


Unit 2: Financial Mathematics: Compound Interest and Annuities

Upon completion of this unit, the student should be able to:

  • understand the terminology used for compound interest and annuities
  • calculate the future amount of a single deposit
  • calculate the single present amount of a future amount
  • calculate the interest rate required to produce a certain present or future amount
  • use a program on a graphing calculator to determine a future amount, a present amount, or the interest rate
  • calculate the future amount of an annuity
  • calculate the equal payment amount to accumulate a certain future amount
  • calculate the present amount of an annuity
  • calculate the monthly payment required to pay off a loan


Unit 3: Permutations and Combinations

Upon completion of this unit, the student should be able to:

  • apply the fundamental counting principle to determine the number of possibilities that exist in a given situation
  • find the number of permutations of different objects
  • find the number of permutations when only a portion of the set is taken
  • find the number of permutations when objects are repeated
  • understand the relationship between a permutation and the fundamental counting principle
  • find the number of combinations of different objects from one set
  • find the number of combinations of different objects from more than one set
  • understand the difference between a permutation and a combination


Unit 4: Probability

Upon completion of this unit, the student should be able to:

  • determine the probability that a single event will happen
  • determine the probability that event A or event B will occur
  • determine the probability that event A and event B will occur
  • determine the probability that event A will occur given that event B has already occurred


Unit 5: Polynomial Functions

Upon completion of this unit, the student should be able to:

  • divide polynomials
  • find the remainder when a polynomial is divided by a binomial
  • factor polynomials
  • determine what quadrants the graphs of polynomial functions begin and finish in
  • find the zeros of a polynomial function
  • understand the meaning of the term zero of a polynomial function
  • graph a polynomial function


Unit 6: Exponential and Logarithmic Functions

Upon completion of this unit, the student should be able to:

  • understand what an exponential function is
  • recognize the different types of exponential functions
  • graph an exponential function
  • shift the graph of an exponential function
  • understand what a logarithm is
  • evaluate logarithms
  • change a logarithmic expression into an exponential expression and vice versa
  • understand what a logarithmic function is
  • recognize different types of logarithmic functions
  • graph logarithmic functions


Unit 7: Sinusoidal Functions

Upon completion of this unit, the student should be able to:

  • convert angle measurements from degrees to radians and vice versa
  • graph the circular functions y = sin θ and y = cos θ
  • determine the domain and range of the above functions
  • graph the functions y = Asin Bx and y = Acos Bx
  • graph the functions y = Asin B(x – C) + D and y = Acos B(x – C) + D
  • determine the period length, the amplitude, the vertical shift, and the phase shift of the above graphs
  • interpret equations of sinusoidal functions that apply to real life situations
COURSE Materials
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SAICS has developed Christian curriculum (where none other was available) to match Saskatchewan Learning objectives for high school courses.

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