## What your teen is learning

**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.

**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.

**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.