# Math

**Course Description**

This course prepares students for entry into post-secondary programs that require the study of calculus. Mathematics 30-1 students investigate the properties of logarithms; study the characteristics and transformations of trigonometric, polynomial, exponential and logarithmic functions by sketching and analyzing their graphs; and solve equations and problems related to these functions. Students use basic counting principles to determine the number of permutations or combinations of the elements of a set to solve problems. Students also learn how to apply the binomial theorem. A graphing calculator is required for this course (Ti-84+ is recommended). Students must write a diploma exam in order to receive credit in Mathematics 30-1.

###### Prerequisite: Math 20-1 (recommended) or Math 30-2

This course is an introduction to calculus, designed to challenge students who have an above average ability and interest in mathematics. It is typically a prerequisite for students who plan to enroll in mathematics related disciplines at university. Mathematics 31 students determine the limit of a function at finite or infinite values of the independent variable. They use derivative theorems to determine the derivative of a function, either explicitly or implicitly, and use derivatives to sketch graphs of functions and solve optimization problems. They also investigate the relationship between differentiation and integration. There is no diploma exam for this course.

###### Co/prerequisite: Math 30-1

This course prepares students for post-secondary studies in programs that do not require the study of calculus. Mathematics 30-2 students use numerical and logical reasoning to solve puzzles, and solve real-life problems about the probability of events occurring. They solve problems algebraically involving rational equations; and investigate exponential, logarithmic, polynomial and sinusoidal functions. A graphing calculator is required for this course (Ti-84+ is recommended). Students must write a diploma exam in order to receive credit in Mathematics 30-2.

###### Prerequisite: Math 20-2 or Math 20-1

This course prepares students for entry into the majority of trades and for direct entry into the workforce. Mathematics 30-3 students investigate the limitations of measuring instruments, use trigonometry to solve problems involving triangles, and describe and illustrate properties of polygons. They investigate slides, rotations, flips and size changes of 2-D shapes or 3-D objects; they use logical reasoning to solve puzzles; and they solve various other problems involving financial situations, linear relations and probability. There is no diploma exam for this course.

###### Prerequisite: Math 20-3 or Math 20-2

This course sequence is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that do not require the study of calculus. Mathematics 20-2 students use proportional reasoning to solve real-life problems involving 2-D shapes and 3-D objects. They use the properties of angles and triangles, including the sine and cosine laws, to solve problems; use reasoning to prove conjectures; use spatial reasoning to solve puzzles; and solve problems that involve radicals. They interpret statistical data, and solve problems involving quadratics. A graphing calculator is required for this course (Ti-84+ is recommended).

###### Prerequisite: Math 10C

This course is for students who want to apprentice to a trade or enter the workforce directly after high school. Upon successful completion of Mathematics 20-3, students will have fulfilled the mathematics components to qualify for the High School Diploma. Mathematics 20-3 students solve surface area, volume and capacity problems. They use primary trigonometry to solve problems involving two or three right triangles, and model and draw 3-D objects and their views to scale. They use numerical reasoning to solve puzzles; create and analyze personal budgets; use proportional reasoning, unit analysis and manipulation of formulas to solve problems; and create and interpret graphs. Students use their understanding of slope and rate of change to interpret graphs.

###### Prerequisite: Math 10C or Math 10-3

This course sequence is designed to provide students entry into several trades and for direct entry into the work force. Mathematics 10-3 students solve linear and area measurement problems of 2-D shapes and 3-D objects using SI and imperial units. They use spatial reasoning to solve puzzles; solve problems involving right triangles and angles; solve unit pricing, currency exchange and income problems; and manipulate formulas to solve problems. They also use scale factors and parallel and perpendicular lines to solve problems.

###### Prerequisite: none

**Mathematics 10C **(5 credits)

Math 10C is the starting point for both the Mathematics-1 and Mathematics-2 course sequences. The course sequence is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary programs of study and for direct entry into the work force. Mathematics 10C students determine the surface area and volume of 3-D objects and use trigonometric ratios to solve problems involving right triangles. They simplify expressions that involve powers with integral and rational exponents and simplify or factor polynomial expressions. At this level, students also analyze linear relations, solve systems of linear equations and solve problems related to both of these sets of skills. A graphing calculator is required for this course (Ti-84+ is recommended).

###### Prerequisite: a minimum grade of 50% in Math 9 is required