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Grade 11 Math Courses - BC Curriculum

Discover BC's Grade 11 math options: Foundations 11 and Pre-Calculus 11. Choose your path based on future goals and current strengths. Prepare for advanced math or practical applications.

Foundations 11

Pre-Calculus 11

BC Grade 11 Math Curriculum: Foundations 11 & Pre-Calculus 11

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CC_ID	Content-Elaborations	StudyPug Topic
BC.CE.PC11.1	Real number system: Understanding and working with real numbers	Understanding the number systems Prime factorization Greatest common factors (GCF) Least common multiple (LCM) Rational vs. Irrational numbers Converting repeating decimals to fractions

BC.CE.PC11.2

Powers with rational exponents: Positive and negative rational exponents, exponent laws, evaluation using order of operations, numerical and variable bases

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

Solving for exponents

Product rule of exponents

BC.CE.PC11.3

Radical operations and equations: Simplifying radicals, ordering irrational numbers, performing operations with radicals, solving simple radical equations algebraically and graphically, identifying domain restrictions and extraneous roots

Converting radicals to mixed radicals

Converting radicals to entire radicals

Adding and subtracting radicals

Multiplying and dividing radicals

Rationalize the denominator

Radical functions and transformations

Square root of a function

Solving radical equations

Evaluating and simplifying radicals

Basic radical functions

BC.CE.PC11.4

Polynomial factoring: Greatest common factor, trinomials, difference of squares, extending to more complex forms

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Evaluating polynomials

Using algebra tiles to factor polynomials

Solving polynomial equations

Word problems of polynomials

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares:

x^2 - y^2

Factoring trinomials

Factoring difference of cubes

Factoring sum of cubes

BC.CE.PC11.5

Rational expressions and equations: Simplifying and applying operations to rational expressions, identifying non-permissible values, solving equations and identifying extraneous roots

What is a rational function?

Point of discontinuity

Slant asymptote

Solving rational equations

Solving rational inequalities

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions

Multiplying rational expressions

Dividing rational expressions

Applications of rational equations

Vertical asymptote

Horizontal asymptote

Graphs of rational functions

Simplifying complex fractions

Partial fraction decomposition

BC.CE.PC11.6

Quadratic functions and equations: Identifying characteristics of graphs, exploring transformations, solving equations, connecting equation-solving strategies and functions, solving problems in context

Characteristics of quadratic functions

Transformations of quadratic functions

Quadratic function in general form: y = ax^2 + bx + c

Converting from general to vertex form by completing the square

Shortcut: Vertex formula

Graphing quadratic functions: General form VS. Vertex form

Finding the quadratic functions for given parabolas

Applications of quadratic functions

Solving quadratic equations by factoring

Solving quadratic equations by completing the square

Using quadratic formula to solve quadratic equations

Nature of roots of quadratic equations: The discriminant

Applications of quadratic equations

Quadratic function in vertex form: y = a(x-p)^2 + q

Completing the square

BC.CE.PC11.7

Linear and quadratic inequalities: Solving and graphing linear and quadratic inequalities

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Solving quadratic inequalities

Graphing linear inequalities in two variables

Graphing quadratic inequalities in two variables

Graphing systems of quadratic inequalities

Solving polynomial inequalities

Applications of inequalities

Compound inequalities

BC.CE.PC11.8

Trigonometry: non-right triangles and angles in standard position: Sine and cosine laws, angles in standard position, unit circle, reference and coterminal angles, trigonometric ratios, simple trigonometric equations

BC.CE.PC11.9

Financial literacy: compound interest', 'investments', 'loans: Compound interest, introduction to investments/loans with regular payments using technology, buy/lease considerations

Exponential growth and decay by a factor

Exponential decay: Half-life

Exponential growth and decay by percentage

Finance: Compound interest

Continuous growth and decay

Finance: Future value and present value

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