Calculus 120 - This is the last course offered in the Pre-Calculus Pathway and follows Pre-Calculus B 120. This course develops the concepts of average and instantaneous rates of change. Derivatives are determined by applying the definition of a derivative and the derivative rules including the Chain Rule and are determined for trigonometric functions. Limits and derivatives of exponential and logarithmic functions are found. Calculus techniques are used to sketch graphs of functions and to solve optimization problems. Problems are solved involving inverse trigonometric functions, related rates, and the application of the integral of a function from a variety of fields. The definite integral and the anti-derivative of a function are determined. This course is recommended for students interested in post- secondary programs in science, engineering and mathematics, though it may not be a required entrance requirement. Students should check entrance requirements for the specific program and institution in which they are interested.
FI/FSL Financial & Workplace Math 110 - This course is the first of two courses designed for entry into many trades and technical programs, and for direct entry into the work force. Concepts of right triangles, trigonometry, and angles of elevation and depression are applied to contextual problems. Scale models and drawings of 2-D and 3-D objects are constructed from various views and perspectives. Students are challenged to solve problems that involve numerical reasoning. Costs and benefits of renting, leasing and buying are explored, investment portfolios analyzed, and personal budgets developed. Students manipulate and apply formulas in a variety of ways and solve problems using proportional reasoning and unit analysis. Students have a choice of this course or Foundations of Mathematics 110 to complete graduation requirements.
FI/FSL Foundations of Math 110 - This course is a pre-requisite for a second Foundations of Mathematics course in Grade 12, providing a pathway designed for entry into academic programs not requiring pre-calculus. It is also a pre- requisite for the pre- calculus pathway. Students develop logical reasoning skills and apply this to proofs and problems involving angles and triangles, the sine law and the cosine law. Students model and solve problems involving systems of linear inequality in two variables and explore characteristics of quadratic functions. Costs and benefits of renting, leasing and buying are explored, and investment portfolios are analyzed. Students have a choice of this course or Financial and Workplace 110 to complete graduation requirements
FI GMF 10 - This course is designed with the intent of introducing students to the real world of finance using situational studies (spending money, earning money, saving money, financial services). The course also looks at systems of measurement, both the imperial and metric systems, doing conversions and using both systems to solve geometry (2D/3D) problems. Another topic introduced is trigonometry (three basic trigonometric functions such as sine, cosine and tangent). They will use these functions to find angles and lengths of various right angle triangles and to solve real world trigonometric problems.
FI Numbers Relations and Functions 10 - Le cours de Nombres, relations et fonctions est conçu dans le but de préparer les étudiants au cours de Fondements Mathématiques 110. Les concepts de ce cours comprend l'algèbre et le nombre où les étudiants seront exposés à des exposants, des polynômes, des facteurs et des multiples. La deuxième partie du cours implique des relations et des fonctions linéaires où le concept de résolution d'équations, de pentes et d'intersections sera étudié.
FI/FSL PreCalculus 110 - This course, followed by later courses in Pre-Calculus and Calculus, is designed for entry into post- secondary programs requiring Pre-Calculus. Students demonstrate an understanding of absolute value of real numbers, and solve problems that involve radicals, radical expressions, radical equations. Students determine equivalent forms, simplify rational expressions, and solve problems that involve rational equations. They develop an understanding of angles in standard position ( ) and solve problems for these angles using the three primary trigonometric ratios. Polynomial expressions are factored, and absolute value functions and quadratic functions are analyzed and graphed. Students solve problems that involve quadratic equations and solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic- quadratic equations in two variables. They also solve problems that involve linear and quadratic inequalities in two variables, and quadratic inequalities in one variable
Financial & Workplace Math 110 - This course is the first of two courses designed for entry into many trades and technical programs, and for direct entry into the work force. Students will learn about financial topics on budgeting, renting, leasing and financing, interest, and financing. They will also use Pythagorean Theorem and trig functions in situations that will lend itself well to those pursuing trades at community college. Ratios, scales, and 2D and 3D shapes (and their various drawings and sketches) are also covered.
Financial & Workplace Math 120 - This is the second of two courses in the Financial and Workplace pathway designed for entry into post-secondary trades and technical programs, or for direct entry into the work force. Students explore the limitations of measuring instruments, and solve problems using sine and cosine laws and the properties of triangles, quadrilateral, and regular polygons as they relate to construction, industrial, commercial and artistic applications. Transformations of 2-D and 3-D shapes are identified, drawn with and without technology, and used to create, analyze and describe designs and to solve contextual problems. The viability of small business options is explored including expenses, feasibility, and factors that could impact on profitability. Linear relations are studied, including patterns and trends, graphing, creating tables of values, writing equations, interpolating and extrapolating, and solving problems. Students gain an understanding of mean, weighted and trimmed mean, median and mode, and explore the impact of outliers. They also compare percent and percentile and explore probability. Opportunity is given to research and present an historical event or an area of interest that involves mathematics.
Foundations of Math 110 - This course is a pre-requisite for a second Foundations of Mathematics course in Grade 12, providing a pathway designed for entry into academic programs not requiring pre-calculus. It is also a pre- requisite for the pre- calculus pathway. Students develop logical reasoning skills and apply this to proofs and problems involving angles and triangles, the sine law and the cosine law. Students model and solve problems involving systems of linear inequality in two variables and explore characteristics of quadratic functions. Costs and benefits of renting, leasing and buying are explored, and investment portfolios are analyzed. Students have a choice of this course or Financial and Workplace 110 to complete graduation requirements
Foundations of Math 120 - This is the second of two courses in the Foundations of Mathematics pathway designed for entry into post-secondary academic programs not requiring pre-calculus. In statistics, students are introduced to normal curves, and learn to interpret statistical data, using confidence intervals, confidence levels, and margins of error. To develop logical reasoning students will analyze puzzles and games and solve problems that involve application of set theory and conditional statements. The validity of odds and probability statements are assessed, and problems are solved that involve probability of two events, the fundamental counting principle, permutations, and combinations. The binomial theorem is used to expand powers of a binomial. Data is represented using polynomial functions, exponential and logarithmic functions and sinusoidal functions to solve problems.
GMF 10 - This course is designed with the intent of introducing students to the real world of finance using situational studies (spending money, earning money, saving money, financial services). The course also looks at systems of measurement, both the imperial and metric systems, doing conversions and using both systems to solve geometry (2D/3D) problems. Another topic introduced is trigonometry (three basic trigonometric functions such as sine, cosine and tangent). They will use these functions to find angles and lengths of various right angle triangles and to solve real world trigonometric problems.
NBCC Skills Trade Work Ready Math 120 - This course is dual credit with NBCC. This course will be beneficial to any students that will be going into a trades program at NBCC.
Numbers Relations and Functions 10 - Numbers, Relations and Functions is designed with the intent of preparing students for the Foundations of Mathematics 110 course. The scope of this course includes algebra and number where the students will be exposed to exponents, polynomials, factors and multiples. The second part of the course involves linear relations and functions where the concept of solving equations, slopes and intercepts will be studied.
Pre-Calculus 110 - This course, followed by later courses in Pre-Calculus and Calculus, is designed for entry into post- secondary programs requiring Pre-Calculus. Students demonstrate an understanding of absolute value of real numbers, and solve problems that involve radicals, radical expressions, radical equations. Students determine equivalent forms, simplify rational expressions, and solve problems that involve rational equations. They develop an understanding of angles in standard position ( ) and solve problems for these angles using the three primary trigonometric ratios. Polynomial expressions are factored, and absolute value functions and quadratic functions are analyzed and graphed. Students solve problems that involve quadratic equations and solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic- quadratic equations in two variables. They also solve problems that involve linear and quadratic inequalities in two variables, and quadratic inequalities in one variable.
Pre-Calculus 120A - This course follows Pre-Calculus 110 and precedes Pre-Calculus 120B. Students demonstrate and apply an understanding of the effects of horizontal and vertical translations, horizontal and vertical stretches, and reflections on graphs of functions and their related equations. They are introduced to inverses of functions, logarithms, and the product, quotient and power laws of logarithms and use these laws and the relationship between logarithmic and exponential functions to solve problems. Students are introduced to angles in standard position, expressed in degrees and radians, and to the unit circle. The six trigonometric ratios, and the sine, cosine and tangent functions are used to solve problems. First and second-degree trigonometric equations are solved algebraically and graphically with the domain expressed in degrees and radians. Trigonometric identities are proven using reciprocal, quotient, Pythagorean, sum or difference, and double-angle identities.
Pre-Calculus 120B - This course follows or is concurrent with Pre-Calculus 120A and precedes Calculus 120. Students analyze arithmetic and geometric sequences and series to solve problems. They learn to factor polynomials of degree greater than 2, and to graph and analyze polynomial functions. They also graph and analyze radical, reciprocal and rational functions. These functions along with those studied in previous math courses are used to build a function tool kit. Problems are solved using the fundamental counting principle, permutations, combinations and the binomial theorem. Students explore and analyze limits as x approaches a certain value and left and right- h a n d limits using correct notation. The continuity of a function and limits which involve infinity are also investigated.