BC's Indigenous Public Post-Secondary Institute

MATH-057 - Intermediate Algebra I -

MATH-057 - Intermediate Algebra I -

Course Details
The British Columbia ABE Advanced Level - Developmental Mathematics course provides students with sufficient algebra, geometry, and trigonometry to satisfy grade 11 prerequisites for some vocational, career, technical, and/or further academic programs. MATH 057 is the pre-requisite for MATH 059 Advanced Level Algebraic Mathematics. Some of the topics include linear equations and inequalities, linear systems, polynomials, rational and radical expressions, quadratic and trigonometric equations.
Part of the:
  • ACADEMIC/CAREER PREPARATION Department
  • Available/Required in the following Programs:
  • College Readiness - Qualifying Courses
  • College Readiness - BC Adult Graduation Diploma Completion Plan
  • Course offered:
  • Spring 2018 (January - April)
  • Fall 2018 (September - December)
  • Spring 2019 (January - April)
  • Prerequisites : MATH 055, at least a C+ in MATH 041, F and PC MATH 10, instructor permission or advisor assessed equivalent.
    Course Outline
    Instructors Qualifications: Relevant Bachelor Degree or Equivalent
    Office Hours: 1.5 Per week
    Contact Hours: 90
    Student Evaluation
    Procedure:
    Assignments/Chapter tests/Midterm Exam 50-70%, Final Exam 30-50%, Total 100%. Grading procedures follow NVIT policy.
    Learning Outcomes: Operations with Real Numbers
    It is expected that learners should be able to:
  • write fractions as decimals and repeating decimals as fractions;
  • add, subtract, multiply and divide rational numbers;
  • evaluate powers with rational bases and integer exponents;
  • demonstrate the order of operations with rational numbers;
  • evalua
  • te radicals with rational radicands and distinguish between exact answers and approximate answers; and
  • simplify, add, subtract, multiply and divide square roots.


  • First Degree Equations and Inequalities
    It is expected that learners should be able to:
  • solve first degree equations, in one variable, including those involving parentheses;
  • solve formulas for a given variable when other variables are known;
  • solve formulas for a given variable;
  • solve first degree inequalities in one variable; and
  • solve practical problems that can be solved using a first degree equation.


  • Polynomials
    It is expected that learners should be able to:
  • distinguish between monomials, binomials, trinomials and other polynomials (in one variable only);
  • apply the laws of exponents to variable expressions with integral exponents;
  • evaluate polynomials by substitution;
  • add, subtract, and multiply polynomials;
  • factor polynomials by removing the largest common factor;
  • factor binomials of the form a2x2 – b2y2 and trinomials of the form x2 + bx + c;
  • solve quadratic equations using the law of zero products; and
  • (optional) factor trinomials of the form ax2 + bx + c.


  • Rational Expressions
    It is expected that learners should be able to:
  • simplify, by factoring, rational expressions consisting of polynomial numerators and either monomial, binomial, or trinomial denominators;
  • determine values for which a rational expression is undefined;
  • multiply and divide rational expressions;
  • add and subtract rational expressions consisting of monomial and/or binomial denominators; and
  • solve simple rational equations and check solutions.


  • Linear Equations
    It is expected that learners should be able to:
  • graph a linear equation including the forms x = a and y = b;
  • given a linear equation or its graph, determine its:

  • - slope
    - x- and y-intercepts

  • determine the equation of a line, y = mx + b, given:

  • - its graph
    - its slope and a point on the line
    - two points on the line

    Systems of Linear Equations
    It is expected that learners should be able to:
  • solve a system of first degree equations in two unknowns by graphing, substitution, and elimination methods; and

  • solve practical problems that can be solved using a system of equations.


  • Radical Expressions
    It is expected that learners should be able to:
  • simplify square roots with variable radicands;
  • add, subtract, multiply and divide square roots with variable radicands; and
  • solve equations with one square root containing a polynomial radicand and check for extraneous solutions.


  • Trigonometry
    It is expected that learners should be able to
  • solve right triangles using one or more of the following:
  • - the sine ratio
    - the cosine ratio
    - the tangent ratio
    - the Pythagorean Theorem
    - the angle sum property of triangles
  • evaluate sine and cosine for angles from 0º to 180º (optional); and
  • solve triangles using the Law of Cosines or the Law of Sines, excluding the Ambiguous Case (optional).


  • Optional Learning Outcomes
    Students must complete one of the following four optional topics:

    The Quadratic Equation
    It is expected that learners should be able to:
  • solve quadratic equations by factoring;
  • solve equations of the form x2 + bx + c = 0 by completing the square;
  • solve quadratic equations by using the quadratic formula;
  • graph y = ax2 + bx + c and determine its

  • - x- and y-intercepts
    - vertex

  • solve practical problems that can be solved using a quadratic equation.


  • Statistics
    It is expected that learners should be able to:
  • determine the mean, median, mode, range and standard deviation of a set of data;
  • represent data graphically using broken line graphs and bar graphs;
  • understand how the normal curve can be used to describe a normally distributed population;
  • calculate z-scores and determine areas under the normal curve; and
  • use areas under the normal curve to analyze data in terms of the probability of various events.


  • Financial Mathematics
    It is expected that learners should be able to:
  • solve simple interest problems using the formula, i = prt (for any variable);
  • solve compound interest problems for A or P using ;
  • find the effective interest rate using;
  • solve annuity problems using (for A or P only);
  • find periodic payment using ;
  • determine the finance charge on a loan; and
  • determine the interest rate on a loan using tables or appropriate technology.


  • Geometry
    It is expected that learners should be able to:
  • classify triangles according to angles and sides;
  • use the properties of triangles to determine the measure of sides and angles;
  • determine the measure and/or congruence of angles given a transversal and two parallel lines; and
  • use the triangle congruence theorems in simple guided proofs.
  • Text and Materials: Elayn Martin-Gay. Pre-algebra & Introductory Algebra. Current. Montreal. Pearson.
    Other Resources:
    Transfer Credits: For more information visit: www.bctransferguide.ca
    Other Information: Education Council approved February 2013.
    Current Course Offerings:
     
    MATH-057-01
    DaysTimeStart DateEnd Date
    M,T,W,TH10:35AM - 12:00PM02 Jan 201816 Apr 2018
     
    MATH-057-01
    DaysTimeStart DateEnd Date
    M,T,W,TH10:30AM - 12:00PM04 Sep 201818 Dec 2018
     
    MATH-057-01
    DaysTimeStart DateEnd Date
    M,T,W,TH10:30AM - 12:00PM02 Jan 201916 Apr 2019
     
    MATH-057-01
    DaysTimeStart DateEnd Date
    M,T,W,TH10:30AM - 12:00PM04 Sep 201818 Dec 2018