Mathematics
Holy Trinity’s mathematics program is designed to help students achieve their individual potential and to better describe and understand the world around them. Students will achieve further understanding in topics such as algebra, relations and functions, trigonometry, shape and space and combinatorics. This is fostered in a caring and attentive learning environment.
Not all students have the same needs or goals. In high school, students choose the mathematics courses that will help them on the path to their future. Students require a grade 20 level math course to graduate from high school.
Mathematics-1 is for students who plan to enter post-secondary programs such as engineering, mathematics, sciences, some business studies, or other programs that require advanced math skills. The sequence is a co-requisite for Mathematics 31 and may be required for post-secondary calculus courses.
Mathematics-2 is for students wishing to study at the post-secondary level in diverse fields, including arts programs, some engineering and medical technologies, and some apprenticeship programs. This path will fulfill most students’ needs. Mathematics-2 is designed with a great deal of flexibility.
Mathematics-3 is for students who want to apprentice to a trade or enter the workforce directly after high school. It is designed to meet the entrance requirements for apprentices in most trades programs.
"The highest form of pure thought is in mathematics"
-Plato
Math 10 C
Prerequisite course: 60% in Math 9
Mathematics 10C – the “C” stands for “combined” – is the starting point for both the Mathematics-1 and Mathematics-2 course sequences. Students who are not sure which course sequence they want to follow right out of junior high can take Mathematics 10C and then choose which path they want to take, either Mathematics 20-1 or Mathematics 20-2, in Grade 11.
Topics include exponent laws, linear functions, measurement, surface area and volume, trigonometry, and systems of equations.
Math 10-3
Prerequisite course: below 59% in Math 9
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.
Math 20-1
Prerequisite course: 60% in Math 10 C
Mathematics 20-1 students investigate arithmetic and geometric patterns and use the sine and cosine laws to solve problems involving triangles. They investigate the properties of radicals and rational expressions. Mathematics 20-1 students also analyze the characteristics of absolute value functions and quadratic functions, solve quadratic equations and systems of equations in various ways, and analyze the relationship between a function and its reciprocal.
Math 20-2
Prerequisite course: 50% in Math 10 C
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, solve problems involving quadratics and research and present a mathematical topic of their choice.
Math 20-3
Prerequisite course: 50% in Math 10-3
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.
Math 30-1
Prerequisite course: 60% in Math 20-1 or 80% in Math 30-2.
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 also use basic counting principles to determine the number of permutations or combinations of the elements of a set to solve problems.
Math 30-2
Prerequisite course: 60% in Math 20-2 or 50% in Math 20-1
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; investigate exponential, logarithmic, polynomial and sinusoidal functions; and research and present a mathematical topic of their choice.
Math 30-3
Prerequisite course:50% in Math 20-3 or below 50% in Math 20-2.
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.
Math 10-4 & 20-4
Knowledge and Employability mathematics courses emphasize career/life skills, teamwork, communication skills and thinking processes. Information and Communication Technology (ICT) outcomes, and the use of calculators, computers and other technologies, are integrated into the courses to help provide quick and accurate computation and manipulation and to enhance conceptual understanding.
Students use a problem-solving approach to complete calculations and solve word problems in everyday home, workplace and community contexts.
Topics include number, patters and relations, shape and space, statistics and probability.
Math 31
Prerequisite course: 60% in 20-1
Math 31 is only offered semester two. It is strongly recommended that students complete Math 30-1 before taking Math 31, but students may be enrolled in both at the same time.
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
Credits:
Created with images by Benjamin Lizardo - "This is the stairway to go up at the lighthouse in Pointcabrillo at the South of California." • Dawid Małecki - "untitled image" • Chris Liverani - "Math exam" • Science in HD - "Fermi" • Charles Deluvio - "Studying Math" • Annie Spratt - "Child completing maths homework" • Antoine Dautry - "Pencil on system of equations" • Gayatri Malhotra - "untitled image" • Sven Mieke - "untitled image" • JESHOOTS.COM - "untitled image" • ThisisEngineering RAEng - "Female aerospace engineer writes equations" • Roman Mager - "Formulas on an old blackboard" • Reuben Teo - "Spiral staircase in the Vatican City"