Course Descriptions
The course consists of the following five topics focusing on problem solving at each stage of the learning process:
- Natural numbers and negative integers
- The four basic operations and order of operations (including exponents), preparation for Algebra.
- Rational numbers
- Fractions, decimals, percentage and ratio.
- Measurement
- Angles, segments, perimeter and area.
- Geometry
- Transformations, constructions and properties of triangles and quadrilaterals.
- Statistics
- Collecting information from graphs and diagrams; constructing tables of statistical data; constructing line, bar, and circle graphs.
216 (Grade 8)
The course consists of the following four topics with continued emphasis on problem-solving techniques:
- Algebra
- Modes of representation, concept of variable, solution of problems (first degree with one unknown), algebraic manipulations.
- Proportional Reasoning
- Qualitative decisions concerning ratios and rates, solution of problems involving proportions and percents.
- Measurement
- Angles, segments, perimeter and area.
- Geometry
- Transformations (reflection, translation, rotation, dilatation), regular polygons and circles (construction, perimeter, area, angles).
- Probability
- Random experiments, probability of an outcome or an event.
314 (Grade 9)
This is the first year in a three year regular program in Mathematics. The focus is on increasing the students ability to establish connections, to communicate mathematically, to use problem solving strategies to reason. The course content includes:
- Arithmetic
- Cubes, cube roots, real numbers (rational irrational).
- Algebra
- Variation (direct, inverse, square), problems with linear solutions, exponents, algebraic manipulations, Pythagorean theorem.
- Geometry
- Transformations (composites, properties), solids, volumes, nets.
- Statistics
- Measures of central tendency (mean, median, mode), extremes (range), histograms.
334 (Grade 9)
In some schools, this course is the first year of a three year advanced program in mathematics and is offered to students with an average and above average ability who intend to seek entry into CEGEP programs where enriched mathematics is a prerequisite. The course content includes:
- Arithmetic
- Cubes, cube roots, real numbers (rational irrational).
- Algebra
- Variation (direct, partial, inverse, square); Problems with linear solutions, exponents, algebraic manipulations, Pythagorean theorem, set theory and some of the following topics: factoring, solving quadratic equations by factoring, relations, number system, rational expressions and polynomials.
- Geometry
- Transformations (composites, properties), solids, volume, nets.
- Statistics
- Measures of central tendency (mean, median, mode), extremes (range), histograms.
416 (Grade 10)
The course focuses on the following areas of study for the students who have successfully completed Secondary III Mathematics. Problem solving strategies are emphasized at each stage of the learning process:
- Algebra
- Dependent and independent variables; systems of linear equations.
- Geometry
- Simple proofs involving similar and congruent two and three dimensional figures; trigometric ratios.
- Statistics
- Sampling methods; methods of central tendency, position and dispersion, quintile, percentile rank; box-and-whisker plots.
426 (Grade 10)
This course is a subset of MATHEMATICS 436 and serves as a prerequisite to many of the technology programs in CEGEP. It consists of the following three topics with emphasis on problem solving strategies:
- Algebra
- Functions (properties of graphs); polynomials (5 operations, integral exponents only); graphing (linear and quadratic functions); systems of linear equations; elements of analytic geometry of the straight line.
- Geometry
- Simple proofs and properties involving similar and congruent plane figures; trigonometric ratios; law of sines and law of cosines.
- Statistics
- Sampling methods; methods of central tendency, position and dispersion; quintile, quartile and percentile rank; box-and-whiskers plots.
436 (Grade 10)
This course consists of the following three topics with continued emphasis on problem solving techniques:
- Algebra
- Functions (changes in parameters, properties of graphs); polynomials ( 5 operations, factoring, rational expressions); graphing (linear and quadratic functions; sums, differences and products); systems of linear and quadratic equations; analytic geometry of the straight line.
- Geometry
- Simple proofs involving similar and congruent two and three dimensional figures; properties of three-dimensional figures; trigonometric ratios; law of sines and law of cosines.
- Statistics
- Sampling methods; methods of central tendency, position and dispersion; quintile and percentile rank; box-and-whiskers plots.
514 (Grade 11)
This course consists of the following four topics which emphasize problem solving strategies in each area of study.
- Optimization
- Graph theory (including directed graphs, paths and circuits); systems of linear inequalities, polygon of constraints, and optimal solutions.
- Statistics
- Two variable distribution table; scatter plots; estimating and interpreting linear correlation.
- Probability
- Sampling methods; methods of central tendency, position and dispersion; quintile and percentile rank; box-and-whiskers plots.
- Geometry
- Distance between two points; division of a line segment; geometric probability.
526 (Grade 11)
This is the second year of a two-year advanced program in Mathematics for students who have take 426 in Secondary IV. The course consists of the following three topics which emphasizes problem solving at all stages of the learning process.
- Algebra
- Systems of linear inequalities (including polygon of constraints and optimal solutions); graphs of real-variable functions (absolute value, step, square root, rational, exponential, logarithmic and trigonometric); sum, difference, product, quotient and composition of functions; inverse functions; solving equations and transforming algebraic expressions involving absolute values, square roots, exponents, logarithms, trigonometry, and systems of linear and quadratic inequalities; equations and loci of straight lines, circles, ellipses and hyperbolas; principal elements of a conic section (centre, radius, directrix, vertices, foci, minor axes, symptotes).
- Geometry
- Theorems of circles and right triangles; vector operations (addition, multiplication by a scalar, dot product); simple proofs using vectors.
- Statistics
- Measures of dispersion (range, interquartile range, mean deviation, standard deviation, Z-score); estimate and interpret linear regression line and correlation coefficient.
536 (Grade 11)
This course consists of the following three topics which emphasizes problem solving at all stages of the learning process.
- Algebra
- Systems of linear inequalities (including polygon of constraints and optimal solutions); graphs of real-variable functions (absolute value, step, square root, rational, exponential, logathermic and trigonometric); sums, difference, product, quotient and composition of functions; inverse functions; solving equations and transforming algebraic expressions involving absolute values, square roots, exponents, logatherithms, trigonometry, and systems of linear and quadratic inequalities; equations of loci and straight lines, circles, ellipses and hyperbolas; principal elements and a conic section (centre, radius, directrix, vertices, foci, minor axes, symptotes.
- Geometry
- Theorems of circles and right triangles, vector operations (addition, multiplication by a scalar, dot product); simple proofs using vectors.
- Statistics
- Measures of dispersion (range, interquartile range, mean deviation, standard deviation, Z-score); estimate and interpret liner regression line correlation coefficient.