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Grade 10 Math Courses - BC Curriculum

Discover BC's Grade 10 math options: Foundations and Pre-Calculus 10 and Workplace Mathematics 10. Choose your path based on future goals and current strengths for a solid mathematical foundation.

Foundations and Pre-Calculus 10

Workplace Mathematics 10

BC Grade 10 Math Curriculum - Foundations and Pre-Calculus

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CC_ID	Content-Elaborations	StudyPug Topic
BC.CE.PC10.1	Operations on powers with integral exponents: Positive and negative 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 Exponents: Product rule (a^x)(a^y) = a^(x+y) Exponents: Division rule: a^x / a^y = a^(x-y) Exponents: Power rule: (a^x)^y = a^(xy) Exponents: Negative exponents Exponents: Zero exponent: a^0 = 1 Exponents: Rational exponents

BC.CE.PC10.2

Prime factorization: Expressing prime factorization using powers, identifying factors, greatest common factor and least common multiple, using factor trees and factor pairs

Prime factorization

Greatest common factors (GCF)

Least common multiple (LCM)

Square and square roots

Cubic and cube roots

Evaluating and simplifying radicals

BC.CE.PC10.3

Functions and relations: connecting data', 'graphs', 'and situations: Communicating domain and range, connecting graphs and context, understanding functions, using function notation

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

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

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

Introduction to quadratic functions

BC.CE.PC10.4

Linear functions: slope and equations of lines: Types of equations, parallel and perpendicular lines, horizontal and vertical lines, connections between representations

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Slope equation:

m = \frac{y_2-y_1}{x_2- x_1}

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

Parallel and perpendicular lines in linear functions

Applications of linear relations

BC.CE.PC10.5

Arithmetic sequences: Applying formal language to linear patterns, connecting to linear relations, exploring arithmetic series

Arithmetic sequences

Arithmetic series

BC.CE.PC10.6

Systems of linear equations: Solving graphically, algebraically by inspection, substitution, elimination, connecting ordered pairs with algebraic solutions

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

System of linear equations

System of linear-quadratic equations

System of quadratic-quadratic equations

Solving 3 variable systems of equations by substitution

Solving 3 variable systems of equations by elimination

Linear programming word problems

Word problems relating 3 variable systems of equations

Solving 3 variable systems of equations (no solution, infinite solutions)

BC.CE.PC10.7

Multiplication of polynomial expressions: Applying distributive property between polynomials, connecting product of binomials with area model

What is a polynomial?

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

BC.CE.PC10.8

Polynomial factoring: Greatest common factor of a polynomial, simpler cases involving trinomials and difference of squares

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.PC10.9

Primary trigonometric ratios: Sine, cosine, and tangent ratios, right-triangle problems, contexts involving direct and indirect measurement

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Use tangent ratio to calculate angles and sides (Tan = o / a)

Angle in standard position

Coterminal angles

Reference angle

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

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