Education and Early Childhood Learning

General Learning Outcome: Develop algebraic reasoning and number sense.

• 11P.A.1. Demonstrate an understanding of the absolute value of real numbers.
  [ME, R, V]

• 11P.A.2. Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
  [CN, ME, PS, R, T]

• 11P.A.3. Solve problems that involve radical equations (limited to square roots).
  [C, CN, PS, R, T]

  It is intended that the equations will have no more than two radicals.

• 11P.A.4. Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
  [C, ME, R]

• 11P.A.5. Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
  [C, CN, ME, R]

• 11P.A.6. Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials, or trinomials).
  [C, CN, PS, R]

  It is intended that the rational equations be those that can be simplified to linear and quadratic equations.

General Learning Outcome: Develop trigonometric reasoning.

• 11P.T.1. Demonstrate an understanding of angles in standard position [0° to 360°].
  [C, R, V]

• 11P.T.2. Solve problems, using the three primary trigonometric ratios (sine, cosine, and tangent) for angles from 0° to 360° in standard position.
  [C, ME, PS, R, T, V]

• 11P.T.3. Solve problems, using the cosine law and sine law, including the ambiguous case.
  [C, CN, PS, R, T]

General Learning Outcome: Develop algebraic and graphical reasoning through the study of relations.

• 11P.R.1. Factor polynomial expressions of the form

  • $a{x}^2+bx+c,a\ne 0$
  • $a^2{x}^2-b^2{y}^2,a\ne 0,b\ne 0$
  • $a{\left(f\right(x\left)\right)}^2+b\left(f\right(x\left)\right)+c,a\ne 0$
  • $a^2{\left(f\right(x\left)\right)}^2-b^2{\left(g\right(y\left)\right)}^2,a\ne 0,b\ne 0$

  where a, b, and c are rational numbers.
  [ME, R]

• 11P.R.2. Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.
  [C, PS, R, T, V]

• 11P.R.3. Analyze quadratic functions of the form $y=a{(x-p)}^2+q$ and determine the

  • vertex
  • domain and range
  • direction of opening
  • axis of symmetry
  • x- and y-intercepts

  [C, CN, R, T, V]

• 11P.R.4. Analyze quadratic functions of the form $y={ax}^2+bx+c$ to identify characteristics of the corresponding graph, including

  • vertex
  • domain and range
  • direction of opening
  • axis of symmetry
  • x- and y-intercepts

  [C, CN, PS, R, T, V]

• 11P.R.5. Solve problems that involve quadratic equations.
  [C, CN, PS, R, T, V]

• 11P.R.6. Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
  [C, CN, PS, R, T, V]

  It is intended that the quadratic equations be limited to those that correspond to quadratic functions.

• 11P.R.7. Solve problems that involve linear and quadratic inequalities in two variables.
  [C, PS, T, V]

• 11P.R.8. Solve problems that involve quadratic inequalities in one variable.
  [CN, PS, V]

• 11P.R.9. Analyze arithmetic sequences and series to solve problems.
  [C, CN, PS, R, T]

• 11P.R.10. Analyze geometric sequences and series to solve problems.
  [C, CN, PS, R, T]

• 11P.R.11. Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions).
  [CN, R, T, V]