Pre-Calculus 11: Online Tutoring in BC

1. 01
   Real number system and exponents

   • Classifying real numbers (natural/whole/integer/rational/irrational)
   • Rational and irrational numbers on the number line
   • Positive and negative rational exponents
   • Fractional exponents and radicals
   • Laws of exponents
   • Order of operations with exponents and radicals
2. 02
   Radical operations and equations

   • Square roots and higher roots
   • Simplifying radicals
   • Comparing and ordering irrational numbers
   • Adding and subtracting radicals
   • Multiplying and dividing radicals
   • Radical and rational-exponent forms
   • Solving radical equations
   • Domain restrictions
   • Extraneous roots
3. 03
   Polynomial factoring

   • Greatest common factor
   • Trinomials x²+bx+c
   • Trinomials ax²+bx+c
   • Factoring by grouping
   • Difference of squares
   • Composite-argument trinomials such as a(f(x))²+b(f(x))+c
   • Checking by expansion
   • Solving equations by factoring
4. 04
   Rational expressions and equations

   • Non-permissible values
   • Simplifying rational expressions
   • Multiplying and dividing
   • Adding and subtracting with a common denominator
   • Solving rational equations
   • Extraneous solutions
   • Applications
5. 05
   Quadratic functions

   • Standard and vertex forms
   • Graphing parabolas
   • Vertex and axis of symmetry
   • Intercepts
   • Domain and range
   • Maximum and minimum values
   • Transformations
   • Completing the square
   • Quadratic modelling and word problems
6. 06
   Quadratic equations and inequalities

   • Solving by factoring
   • Square-root method
   • Completing the square
   • Quadratic formula
   • Solving graphically
   • Comparing methods
   • Linear inequalities
   • Quadratic inequalities
   • Interval notation and number lines
   • Applications
7. 07
   Trigonometry

   • Angles in standard position
   • Reference angles
   • Coterminal angles
   • Special angles 30° 45° and 60°
   • The unit circle
   • Primary trigonometric ratios
   • Simple trigonometric equations
   • Sine law (including the ambiguous case)
   • Cosine law
   • Indirect measurement problems
8. 08
   Financial literacy

   • Simple and compound interest
   • Compound-interest formula
   • Comparing investment options
   • Introduction to investments
   • Loans with regular payments
   • Using technology for financial calculations

Best for: Grade 11 students heading to Pre-Calculus 12 and university STEM programmes.

What is Pre-Calc 11?

Pre-Calculus 11 (Pre-Calc 11) is a British Columbia Grade 11 mathematics course. Topics include the real number system and exponents, radicals, polynomial factoring, rational expressions, quadratic functions, equations and inequalities, trigonometry and financial literacy.

What do I need before taking Pre-Calc 11?

The usual prerequisite is Foundations of Mathematics and Pre-calculus 10 (or Pre-Calculus 10).

Are the online Pre-Calc 11 classes one-to-one, or do I have to join a group?

Classes are live and one-to-one with Janvi Mam, Ph.D., on Zoom or Google Meet, so you never have to join a group or share the class with other students. If you prefer to study with a friend, small-group sessions of 2-3 students in the same course are available at a reduced per-student rate.

What are the benefits of one-to-one Pre-Calc 11 tutoring?

The lesson follows your own pace and gaps instead of a class average. Every minute goes to your questions, so you can ask anything without worrying about others. Weak topics are spotted and fixed quickly, and the plan can be matched to your school tests and exams.

Can classes fit British Columbia time zones?

Yes. Timings are arranged to suit students in British Columbia, so you can ask for a slot that works after school hours.

Can I try a class before I commit?

Yes. You can book a free demo class, meet the teacher and see how the class runs before deciding.