BC's Indigenous Public Post-Secondary Institute

MATH-090 - Math Seminar -

MATH-090 - Math Seminar -

Course Details
The Math seminars are a hybrid between on-line and face-to-face teaching. They are designed to develop and solidify basic arithmetic and pre-algebra skills that will be required in higher level math courses. They are designed to help students feel a sense of accomplishment in their increasing ability to use mathematics to solve problems. The course content includes operations with rational numbers, measurement, exponents, roots, powers, algebraic expressions, and polynomials to name some of the concepts. Study skills will be incorporated throughout the course.
Part of the:
  • Developmental Studies Department
  • Course Outline
    Instructors Qualifications: Relevant Bachelor Degree of Equivalent
    Office Hours: 1.5 per week
    Contact Hours: 60
    Student Evaluation
    Procedure:
    Assignments/Labs/Quizzes/Tests 50-70%, Final 30-50%, total 100%. Grading procedures follow NVIT policy.
    Learning Outcomes: Upon successful completion of this course students should be able to:

    Outcomes For Section A:
  • name the digit in a specified place value;
  • write numbers in standard and expanded form;
  • round numbers;
  • add and subtract whole numbers through applications;
  • multiply whole numbers, exponents;
  • write repeated factors in exponential form;
  • divide whole numbers, square roots; solving equations;
  • use order of operations to simplify expressions;
  • explain, find, and use LCD, LCM, prime, composite, GCF, proper fractions, mixed number, improper fractions, equivalent fractions;
  • convert improper fractions, proper fractions, mixed numbers to decimals or to each other;
  • add, subtract, multiply, and divide fractions;
  • identify the order relation between two fractions;
  • use the order of operations with decimals, exponents, grouping symbols, arithmetic operations;
  • perform the four basic arithmetic operations on decimals;
  • perform the four basic arithmetic operations on rational numbers;
  • find the missing number in a proportion;
  • solve ration and proportion application problems;
  • solve linear equations in one variable;
  • solve application problems that yield linear equations;
  • identify terms of a polynomial, and classify polynomials by number of terms;
  • use the exponent laws to simplify algebraic expressions involving whole number exponents;
  • use the order of operations to evaluate variable expressions and formulas;
  • combine like terms;
  • add and subtract polynomials;
  • multiply monomials and polynomials;
  • determine the mean, median, and mode;
  • interpret graphs (pictograph, circle graphs, bar graphs, and line graphs) and analyze data;
  • know the appropriate vocabulary/facts about angles, triangles, rectangles, squares, and circles;
  • find perimeters of rectilinear figures;
  • use standard formulas to find perimeters and areas of triangles, rectangles, squares, and circles;
  • find complementary and supplementary angles;
  • angle sum of a triangle;
  • find angles associated with parallel lines cut by a transversal;
  • concepts of introductory probability;
  • concepts of mathematics as they relate to finance;
  • basic concepts of descriptive statistics;
  • plot points on a coordinate system;
  • use number pairs to name points on the coordinate system;
  • solve consumer problems involving until prices, wages earned in various situations;
  • simplify radicals; and
  • add, subtract, multiply and divide radicals.


  • Outcomes For Section B:
  • calculate the perimeter of squares, rectangles, triangles, parallelograms, trapezoids and circles with correct formula;
  • find area of above shapes using formulas;
  • find the surface areas of cubes, rectangular solids, right cylinders and cones, spheres, and composite solids using formulas;
  • find the volumes of the above shapes using formulas;
  • compare fractions, decimals, and percents;
  • read and obtain information from a bar graph, line graph, circle graph, and table;
  • solve consumer problems involving unit prices, wages earned in various situations, taxation simple and compound, and exchange rates;
  • determine the mean, median, mode, and range from a set of data;
  • define absolute value;
  • use the common metric units for temperature, length, area, volume, capacity, and mass;
  • convert between and within the metric and Imperial units;
  • explain the use of variables;
  • evaluate algebraic expressions using substitution;
  • combine like terms and remove parentheses;
  • solve first degree equations in one variable;
  • read and write numbers expressed as powers;
  • evaluate powers with integral exponents;
  • apply laws of exponents;
  • determine the square root of a perfect square;
  • express a square root as a mixed radical in simplest form;
  • approximate square roots of real numbers;
  • solve problems involving composite shapes and solids, with reference to perimeter, area, volume, and surface area;
  • enlarge or reduce a dimensional object according to a specified scale;
  • distinguish between monomials, binomials, trinomials and other polynomials;
  • evaluate polynomials by substitution;
  • add, subtract, and multiply polynomials in one variable;
  • factor polynomials by removing the LCF;
  • divide a polynomial by a monomial;
  • read, write, interpret, and compare ratios;
  • concepts of linear equations and be able to solve systems using algebra and matrices;
  • concept of probability and apply knowledge to solve problems;
  • determine whether a given point is a solution to an equation in two variables;
  • solve budget problems;
  • solve loan and mortgage problems and determine the finance charge on a loan;
  • read, write, and identify proportions and use them to solve problems;
  • use rations and proportions to solve problems;
  • draw a Cartesian co-ordinate system;
  • relate slope to grade and pitch;
  • find x- and y-intercepts;
  • plot and name points in the above;
  • determine the equation of a line, y=mx + b, given its graph, its slope and a point on the line, two pints on the line; and graph linear equations using slope y-intercept, two intercepts, and a table of values.
  • Text and Materials:
  • Bittinger, M. & Penna, J. Basic College Mathematics with Early Integers Current Edition. New Market, ON. Pearson Education.
  • Blair, J., Tobey, J., Slater, J., & Crawford, J. Prealgebra Current Edition. New Market, ON. Pearson Education.
  • Martin-Gay, E. Basic College Mathematics Current Edition. New Market, ON. Pearson Education.
  • Other Resources:
    Transfer Credits: For more information visit: www.bctransferguide.ca
    Other Information: Education Council approved October 30, 2013.