MATHEMATICS

Mathematics Department Promotional Guidelines:

·         A student must have an overall average of 60% or more in order to be promoted from one level to the next in Regular Math.

·         Promotion from Regular Math to Enriched Math is NOT a frequent occurrence. Such promotions will be done if and only if there is a recommendation from the Math Department. This recommendation will be done based primarily on the work ethic and motivation of the student and secondly on the student's results.

·        Students in Enriched Math must maintain a strong average (specified by the teacher).  

·        Students who do not wish to stay in Enriched Math or whose results are less than specified (but more than 60%) will be promoted to regular Math in June.

·        Students in regular Math in Secondary III will be enrolled in Cultural Secondary IV Math.

·        Students in Enriched Math in Secondary III have the choice among Cultural Math, Technical Math and Scientific Math in Secondary IV.

·        Students with an overall average of 60% or more in Cultural Secondary IV Math will be promoted to Cultural Secondary V Math. 

·        Students with an overall average of 60% or more in Technical Secondary IV Math will be promoted to Technical OR Cultural Secondary V Math. 

·        Students with an overall average of 60% or more in Scientific Secondary IV Math will be promoted to Scientific OR Technical OR Cultural Secondary V Math. 

Mathematics-Regular (MAT100-563100)

Natural Numbers:     order of operations, patterns, exponents, estimating

Integers:                  four operations, order of operations

Rational Numbers:     understanding, four operations, order of operations, convert fractions to and from decimals and percents, word problems using rational numbers

Geometry:                 transformations, straight lines, angles, triangles, quadrilaterals, perimeter and area

Statistical Data:       tables to graph

Mathematics - Enriched (MEN100–563100)

This is an enriched program in which students cover the regular MAT100 program and additional topics. Number sense skills, fractions, pre-algebra, and introductions to MAT212 material are strongly emphasized.  Students are chosen for this program based on very strong Grade 6 Math results and specific teacher recommendation.

Mathematics – Regular (MAT212-563212)

Algebra:        representations of a situation, sequences, the Cartesian plane, variables, tables of values and the rule, graphs, ratios and proportions, percentage, equations

Geometry:     similarity, regular polygons, the circle, and solids

Probability:   events and outcomes

Mathematics – Enriched (MEN212–563212)

This is an enriched program in which students cover the regular MAT212 program and additional topics. The main emphasis is on increasing algebra skills and number sense skills (specifically fractions) to better prepare these students for success in the enriched Math 306 program.

Mathematics – Individualized Program (MAT310-568310)

Math 310 is intended for students who have had trouble completing Secondary II.   The goal is for students to successfully complete Secondary III at a slower pace. The class covers the objectives of Secondary III but does not go as in-depth as a regular Secondary III class. The class size is smaller which allows for more individual interactions with the teacher. Students may be eligible to write the regular Secondary III exam in June.

Mathematics – Regular (MAT306-563306)

Geometric figures:   Transformational geometry and isometry.  Three dimensional figures: spatial relationships, volume, surface area, problem-solving

Algebra:                    First degree equations, table of values, graphs, integers, mathematizing, word problems, direct and partial variation, exponents, operations with polynomials, Pythagorean theorem, square root, irrational numbers, problem-solving

Statistics:                Tabulation of data, histograms, mean median mode, range of distribution, problem-solving

Mathematics – Enriched (MEN306-563306)

This is an enriched program in which students cover the regular MAT306 program and additional topics. All topics are substantially enriched, with particular emphasis on Algebra (includes Factoring, Absolute Value, Quadratics, Fractional Equations and more).

Mathematics – Cultural (MATCUL-563404)

Arithmetic and Algebra

·        First inequality in two variables, real function: polynomial of degree less than 3, exponential, periodic, step, piecewise, system of first-degree equations in two variables

Statistics and Probability

·       Subjective probability, fairness: odds, mathematical expectation, measure of position: percentile, measure of dispersion: mean deviation, linear correlation: correlation coefficient and regression line

Geometry and Graphs

·        Distance, slope, point of division, straight line and half-plane: parallel and perpendicular lines, relationships in triangles: sine, cosine, tangent, sine law and Hero’s formula

Mathematics – Technical (MATTEC-564406)

Arithmetic and Algebra

·        Real numbers; radicals, base 2 and base 10 powers, first-degree inequality in two variables, real function: second-degree polynomial (standard form), exponential, greatest integer, periodic, step, piecewise, parameter, system of first-degree equations in two variables

Statistics and Probability

·         Conditional probability, fairness: odds, mathematical expectation, measures of dispersion: mean deviation, standard deviation, linear and other correlation: correlation coefficient, regression line and curves related to the functional models studied

Geometry and Graphs

·        Distance between two points, coordinates of a point of division, straight line: equation, slope, parallel and perpendicular lines, perpendicular bisectors, metric and trigonometric relations in right triangles

Mathematics – Scientific (MATSCI-565406)

Algebraic Expressions

·        Polynomials, identities, polynomial division, factoring, rational expressions, second degree equations and inequalities

Functions

• Properties, parameters, polynomial functions, constant functions, linear functions, Quadratic functions (standard, general and factored forms), Step function

Analytic Geometry

·        Distance between two points, mid-point, Straight lines (slope, intercept, standard form, general form, symmetric form, equations)  distance from point to line, regions

Systems of Equations

·        Systems of first degree equations, Systems with one linear and one quadratic

Triangles

· Angles, congruent and similar triangles, right triangles

·        Metric and trigonometric relations in triangles (sine, cosine, tangent, sine and cosine laws)

Equivalent figures

·        Area and volume of solids, equivalent plane figures, equivalent solids, comparing polygons, comparing solids

Statistics

·         Linear correlation: correlation coefficient and regression line

Mathematics – Cultural (MATCUL-563504)

Optimization

·        First-degree equalities in two variables

·        First degree inequalities in two variables

·        System of first-degree inequalities in two variables

·        System of first-degree equalities in two variables

·        Polygon of constraints

·        Function to be optimized (objective function)

·        Optimization

Graph Theory

·        Graphs

·        Chains

·        Various Graphs

·        Optimization Problems

Transformations

·        Translation

·        Rotation

·        Reflection

·        Scaling

·        Size Transformation

·        Properties of Transformations

·        Composites

Equivalent figures

·        Area and volume of solids

·        Equivalent Plane Figures

·        Equivalent Solids

·        Comparing Polygons

·        Comparing Solids

 

Probabilities

·        Events, Outcomes, Conditional Probability

Mathematics – Technical (MATTEC-564506)

Relations, functions, polynomial functions, real functions and inverse

• Real functions: second-degree polynomial (general form), step, square root, rational
• Parameters
• Operations on functions

Optimization

• System of first-degree inequalities in two variables
• System of equations and inequalities involving various functional models
• Polygon of Constraints
• Optimal Solution

Exponential and Logarithmic Functions

Trigonometry

• Metric relations in circles and trigonometric relations in triangles: sine and cosine laws
• Trigonometric Identities

Vectors (resultant, operations and projection)

Conic Sections

• Geometric locus:  Circle, Ellipse, Hyperbola, Parabola

Circle Geometry

• Standard unit circle (Radian, arc length)
• Angles

Equivalent figures (area, volume, capacity)

Matrices

Mathematics – Scientific (MATSCI-565506)

Arithmetic and algebraic expressions

• Real numbers: absolute value, radicals, exponents, square root, factoring

Relations, functions, polynomial functions, real functions and inverse

• Real functions: second-degree polynomial (general form), step, absolute value, square root, rational, piecewise
• Parameters
• Operations on functions

Optimization

• System of first-degree inequalities in two variables
• System of equations and inequalities involving various functional models
• Polygon of Constraints
• Optimal Solution

Exponential and Logarithmic Functions

Trigonometry

• Metric relations in circles and trigonometric relations in triangles: sine and cosine laws
• Standard unit circle (Radian, arc length)
• Trigonometric Identities
• Inverse

Vectors (resultant, operations and projection)

Conic Sections

• Geometric locus:  Circle, Ellipse, Hyperbola, Parabola

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