BC's Indigenous Public Post-Secondary Institute

MATH-050 - Introduction to Algebra -

MATH-050 - Introduction to Algebra -

Course Details
MATH 050 is an introductory algebra course intended for students who have not studied algebra but have a firm background in basic mathematics. Topics include real numbers and algebraic expressions, solving equations and inequalities, operations and factoring, graphs of equations and inequalities, systems of equations, quadratics, radical expressions and equations, and trigonometry.
Part of the:
  • Continuing Education Department
  • Developmental Studies Department
  • Available/Required in the following Programs:
  • College Readiness - Qualifying Courses
  • Prerequisites : MATH 041, F & PC Math 10, advisor assessed equivalent or permission of instructor
    Course Outline
    Instructors Qualifications: Relevant Bachelor Degree or Equivalent
    Office Hours: 1.5 per week
    Contact Hours: 75
    Student Evaluation
    Assignments/Chapter tests/Midterms 50-70%, Final 30-50%, Total 100%. Grading procedures follow NVIT policy.
    Learning Outcomes: Seven core outcomes
    Upon successful completion of this course students should be able to:

    1 – Basic Algebra.
  • apply appropriate terminology to classify numbers;
  • calculate prime factorizations and determine the lowest common multiple of a set of numbers;
  • simplify expressions using the rules for the "order of operations" with real numbers; and
  • solve first degree equations and inequalities, and solve formulae for a given variable.

  • 2 – Rates.
  • apply the interpretation of rates in a given context;
  • solve rate problems using proportions;
  • solve problems that involve rates and/or unit rates; and,
  • convert units by dimensional analysis.

  • 3 – Linear Relations and Functions.
  • find the slope of a line both graphically and algebraically;
  • find the equation of a line in both slope/y-intercept and standard forms;
  • graph linear relations from a table of values, an equation in slope/y-intercept form, and by using intercepts;
  • interpret and apply the slope of a line as an average rate of change;
  • find the domain and range from a given graph;
  • solve problems that involve linear relations; and,
  • determine if a relation is a function and use function notation.

  • 4 – Systems of Linear Equations and Inequalities.
  • solve systems of first degree linear equations in two variables by graphing, substitution, and/or elimination;
  • solve practical problems involving systems of linear equations;
  • graph linear inequalities in two variables and their solution sets; and
  • use these graphs to solve optimization problems.

  • 5 – Quadratic and Radical Functions.
  • factor a GCF, difference of squares, and trinomials in the form ax2 + bx + c;
  • solve quadratic equations by factoring, by completing the square, or by using the quadratic formula;
  • determine the vertex, intercepts, axis of symmetry, and the domain and range given the graph or the quadratic equation;
  • graph quadratic equations and solve basic maximum and minimum problems;
  • multiply, divide, and simplify radical expressions; and
  • solve applied problems using radical expressions.

  • 6 – Geometry.
  • apply the concepts involved and solve problems that deal with similar and congruent triangles;
  • classify different types of angles and different types of triangles; and
  • use deductive and inductive reasoning to solve problems involving parallel lines and transversals.

  • 7 – Trigonometry.
  • solve problems involving the application of square roots;
  • solve problems involving right triangles, the Pythagorean Theorem, and the basic trigonometric ratios; and
  • solve problems involving triangles and the law of sines and law of cosines.

  • Optional outcomes (any three of the following five)
    1 – Logical reasoning.
  • make a conjecture from an observed pattern and find a counter-example to disprove a given conjecture;
  • apply the concepts involved in deductive and inductive reasoning; and
  • prove a conjecture using deductive reasoning.

  • 2 – Statistics.
  • find the mean, median, mode, range and standard deviation of a set of data;
  • create and interpret graphically displays of data;
  • use the normal curve to describe a normally distributed population; and
  • calculate and use z-scores in a variety of problems.

  • 3 – Measurement.
  • draw and solve problems involving scale diagrams of both 2-D and 3-D objects;
  • find area of 2-D objects and volume of 3-D objects;
  • find the effect of a change in the scale factor on area and volume; and
  • use proportions to find a missing scale factor dimension.

  • 4 – Financial Mathematics.
  • solve consumer problems involving discounts and taxes;
  • solve simple and compound interest problems; and
  • solve problems involving different forms of credit.

  • 5 – The Completion of a Mathematically Based Project. Topics might include:
  • the creation or variation of a puzzle or mathematical game;
  • the research and reporting on a mathematically historical event or person;
  • the research and reporting on an area of interest in mathematics; or
  • the collection and analysis of data using statistical methods.
  • Text and Materials: Elayn Martin-Gay. Pre-algebra & Introductory Algebra. Current Edition, Montreal. Pearson.
    Other Resources:
    Transfer Credits: For more information visit: www.bctransferguide.ca
    Other Information: Education Council Approved June 27, 2012