#### Submit a Question or Comment # High SchoolMathematics ## #### 10-Level Courses Mathematics 10C Your teen will solve problems that involve linear measurement in SI and imperial units, such as determining the surface area and volume of 3-D objects and using trigonometric ratios to solve problems involving right triangles. They will determine the greatest common factor and least common multiple of a set of numbers, using prime factors. They will also investigate the properties of irrational numbers, such as radicals; explain and apply the properties of powers with integral and rational exponents; determine the product of two or more polynomials; and express a polynomial as a product of its factors. Your teen will analyze linear relations, solve systems of linear equations and solve problems related to both of these sets of skills. They’ll also investigate relations and functions and use function notation. For more about Mathematics 10C, refer to the program of studies.

Mathematics 10-3 Your teen will connect units of measurement, within and between SI and imperial systems, to the real world. They’ll solve perimeter, circumference and area problems of 2-D shapes and 3-D objects, using SI and imperial units. Your teen will use spatial reasoning to solve puzzles, use the Pythagorean theorem and primary trigonometry to solve problems involving right triangles, and use reasoning to investigate the similarity of regular and irregular polygons. They’ll draw and describe acute, right, obtuse, straight and reflex angles and will solve problems involving angles formed by parallel, perpendicular and transversal lines. Your teen will also use proportional reasoning to solve unit pricing and currency exchange problems, and they’ll manipulate formulas to solve measurement, geometry and finance problems. For more about Mathematics 10-3, refer to the program of studies.

Knowledge and Employability Mathematics 10-4 Your teen will solve problems involving whole numbers, common fractions, decimals, percents and integers. They’ll explore patterns, variables, expressions and equations with graphs to solve problems at home, in the community and in the workplace. They’ll also apply variables, equations and relationships, and estimate, measure and compare, in order to solve everyday problems involving length, area, mass and volume. Your teen will use visualization and symmetry to explore objects, shapes and scale drawings. They’ll create and examine patterns and designs, using congruence, symmetry, slides, rotations and reflections; develop and apply a plan for collecting, displaying and examining data and information; and connect mathematical ideas to their everyday life. For more about Knowledge and Employability Mathematics 10-4, refer to the program of studies.

## #### 20-Level Courses

Mathematics 20-1 Your teen will investigate arithmetic and geometric patterns, use the sine and cosine laws to solve problems involving triangles, explore the properties of radicals and investigate rational expressions to solve equations and related problems. They’ll use logical reasoning to develop and prove the relationships expressed in formulas. Your teen will analyze the characteristics of quadratic functions and absolute value functions and solve quadratic equations and systems of equations and related problems. They’ll also analyze the relationship between a function and its reciprocal. For more about Mathematics 20-1, refer to the program of studies.

Mathematics 20-2 Your teen will use proportional reasoning to solve problems involving scaled diagrams of 2-D shapes and 3-D objects. They’ll determine relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects. They’ll prove properties of angles and triangles, use the sine law or cosine law to solve problems involving triangles, use reasoning to analyze and prove conjectures, use spatial reasoning to solve puzzles, and solve problems involving radical expressions or equations. Your teen will also use technology to solve normal distribution problems, use reasoning to interpret and analyze statistical data, investigate quadratic functions and solve problems involving quadratic equations, and research and present a mathematical topic of their choice. For more about Mathematics 20-2, refer to the program of studies.

Mathematics 20-3 Your teen will solve surface area, volume and capacity problems using SI and imperial units. They’ll use primary trigonometry to solve problems involving two and three right triangles; demonstrate an understanding of scale by modelling and drawing 3-D objects and their views; and draw and describe exploded views, component parts and scale diagrams of simple 3-D objects. Your teen will also use numerical reasoning to solve puzzles, solve simple and compound interest problems, and analyze personal budgets by comparing income and expenses involving banking fees, credit cards and loans. They’ll manipulate formulas to solve measurement, finance, slope and rate-of-change problems; use proportional reasoning and unit analysis to solve problems; and create and interpret a variety of graphs. For more about Mathematics 20-3, refer to the program of studies.

Knowledge and Employability Mathematics 20-4 Your teen will solve everyday problems by applying arithmetic operations to numbers and percents and will decide whether the strategies used and solutions reached are reasonable. They’ll explore patterns, variables and expressions with graphs to solve familiar and unfamiliar problems. They’ll also interpret variables, equations and relationships to solve problems involving perimeter and area, and they’ll estimate, measure and compare units to solve everyday problems involving length, volume, mass, angles, time and temperature. Your teen will read and interpret scale drawings and maps to solve real-life problems; develop and apply a plan to collect, display and analyze data and information; and use probability and statistics to predict upcoming events and make decisions in everyday life. In most of their studies, they’ll connect mathematical ideas to their everyday life. For more about Knowledge and Employability Mathematics 20-4, refer to the program of studies.

## #### 30-Level Courses

Mathematics 30-1 Your teen will analyze functions by applying transformations to the graph of a given function. They will analyze the characteristics of trigonometric functions, solve trigonometric equations algebraically and graphically, and prove trigonometric identities. Your teen will also analyze the properties of polynomial functions, investigate the properties of logarithms and analyze exponential and logarithmic functions. They’ll use basic counting principles to determine the number of permutations or combinations of the elements of a set, and expand binomials by using the binomial theorem. For more about Mathematics 30-1, refer to the program of studies.

Mathematics 30-2 Your teen will use numerical and logical reasoning to solve puzzles; solve probability problems about the chance of two or more events occurring; and solve problems based on counting sets, using techniques like the fundamental counting principle, permutations and combinations. They’ll perform operations on rational expressions, solve problems algebraically through rational equations, and investigate the laws of logarithms and exponential, logarithmic, polynomial and sinusoidal functions. They’ll also research and present a mathematical topic of their choice. For more about Mathematics 30-2, refer to the program of studies.

Mathematics 30-3 Your teen will demonstrate and explain the limitations of measuring instruments; use the sine law and cosine law to solve problems involving triangles; describe and illustrate properties of polygons as they are applied in real life; and demonstrate and explain slides, rotations, flips and size changes of 2-D shapes or 3-D objects. Your teen will also use logical reasoning to solve puzzles; solve problems involving the purchase or lease of a vehicle; explore the finance of small businesses by investigating expenses, sales and profit or loss; and investigate linear relations and related problems. They’ll solve problems involving probability and others related to mean, median and mode. For more about Mathematics 30-3, refer to the program of studies.

Mathematics 31 Your teen will determine the limit of a function at finite or infinite values of the independent variable; explain how the derivative of a function may be determined as a limit; use derivative theorems to determine the derivative of a function, either explicitly or implicitly; sketch the graph of a function, using the first and second derivatives; and solve optimization problems using the derivatives. They’ll explain the relationship between differentiation and integration and find the antiderivatives of simple functions. Your teen will use the definite integral to determine the area under a curve or the area between curves over a given domain. They may also explore the applications of calculus in the physical sciences, engineering, biological sciences and economics. For more about Mathematics 31, refer to the program of studies.

## How your teen is assessed

Learning is assessed using a variety of tools and strategies within the classroom. Ask the teacher what methods they are using. The different assessment methods tell you, your teen and your teen’s teacher about your teen’s strengths, the areas in which they might grow and how well they are doing throughout a course. At the end of the course, your teen will be assessed and their achievement will be reported so that you know if they have achieved the expected learning outcomes for the course.

At the end of Mathematics 30-1 or Mathematics 30-2, your teen will write a provincial diploma examination. There are three main purposes for the diploma examination:

• to certify the level of individual student achievement in the course
• to ensure that province-wide standards of achievement are maintained
• to report individual and group results.

Your teen’s final mark in Mathematics 30-1 or Mathematics 30-2 is determined by taking 70% of the school-awarded mark and adding it to 30% of the diploma examination mark. Your teen must achieve a final mark of 50% or higher to obtain credits for the course. General and course-specific diploma examination information is available to help you and your teen.  Mathematics 30-1 is a prerequisite or corequisite for Mathematics 31.                   