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Skills available for British Columbia grade 11 math curriculum

IXL's grade 11 skills will be aligned to the British Columbia Learning Outcomes soon! Until then, you can view a complete list of grade 11 objectives below.

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11.A Students represent algebraic expressions in multiple ways and use algebraic and graphical models to generalize patterns, make predictions, and solve problems.

  • 11.A1 graph linear inequalities, in two variables

  • 11.A2 solve systems of linear equations, in two variables:

    • 11.A2.1 algebraically (elimination and substitution)

    • 11.A2.2 graphically

  • 11.A3 solve systems of linear equations, in three variables:

    • 11.A3.1 algebraically

    • 11.A3.2 with a graphing calculator

  • 11.A4 solve nonlinear equations

    • 11.A4.1 by factoring

    • 11.A4.2 graphically

    • 11.A4.3 with a graphing calculator

  • 11.A5 use the Remainder Theorem to evaluate polynomial expressions

  • 11.A6 use the Rational Zero Theorem and the Factor Theorem to determine factors of polynomials

  • 11.A7 determine the solution to a system of nonlinear equations, using a graphing calculator as appropriate

  • 11.A8 determine the characteristics of the graph of a quadratic function, including

    • 11.A8.1 vertex

    • 11.A8.2 domain and range

    • 11.A8.3 axis of symmetry

    • 11.A8.4 x- and y-intercepts

  • 11.A9 perform operations on functions and compositions of functions

  • 11.A10 determine the inverse of a function

  • 11.A11 connect algebraic and graphical transformations of quadratic functions, using completing the square as required

  • 11.A12 model real-world situations, using quadratic functions

  • 11.A13 solve quadratic equations, and relate the solutions to the zeros of a corresponding quadratic function, using

    • 11.A13.1 factoring

    • 11.A13.2 the quadratic formula

    • 11.A13.3 graphing

  • 11.A14 determine the character of the real and non-real roots of a quadratic equation, using

    • 11.A14.1 the discriminant in the quadratic formula

    • 11.A14.2 graphing

  • 11.A15 describe, graph, and analyse polynomial and rational functions, using a graphing calculator as appropriate

  • 11.A16 formulate and apply strategies to solve absolute value equations, radical equations, rational equations, and inequalities

11.B Students describe and compare everyday phenomena, using either direct or indirect measurement, describe the characteristics of 3-D objects and 2-D shapes, and analyse the relationships among them.

  • 11.B1 solve problems involving distances between points and lines

  • 11.B2 verify and prove assertions in plane geometry, using coordinate geometry

  • 11.B3 investigate the following geometric circle properties using computers with dynamic geometry software, and prove them using established concepts and theorems:

    • 11.B3.1 the perpendicular bisector of a chord contains the centre of the circle

    • 11.B3.2 the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc

    • 11.B3.3 the inscribed angles subtended by the same arc are congruent

    • 11.B3.4 the angle inscribed in a semicircle is a right angle

    • 11.B3.5 the opposite angles of a cyclic quadrilateral are supplementary

    • 11.B3.6 a tangent to a circle is perpendicular to the radius at the point of tangency

    • 11.B3.7 the tangent segments to a circle, from any external point, are congruent

    • 11.B3.8 the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord

  • 11.B4 solve problems and justify the solution strategy using circle properties, including

    • 11.B4.1 the perpendicular bisector of a chord contains the centre of the circle

    • 11.B4.2 the measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc

    • 11.B4.3 the inscribed angles subtended by the same arc are congruent

    • 11.B4.4 the angle inscribed in a semicircle is a right angle

    • 11.B4.5 the opposite angles of a cyclic quadrilateral are supplementary

    • 11.B4.6 a tangent to a circle is perpendicular to the radius at the point of tangency

    • 11.B4.7 the tangent segments to a circle, from any external point, are congruent

    • 11.B4.8 the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord