Math 20-1 Curricular Outcomes

Algebra and Number

20-1 AN1  Demonstrate an understanding of the absolute value of real numbers. [R, V]

20-1 AN2  Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands. [CN, ME, PS, R]

20-1 AN3  Solve problems that involve radical equations (limited to square roots). [C, PS, R]

20-1 AN4  Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials). [C, ME, R]

20-1 AN5  Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials). [CN, ME, R]

20-1 AN6  Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials). [C, PS, R]

Trigonometry

20-1 T1  Demonstrate an understanding of angles in standard position [0° to 360°]. [R, V]

20-1 T2  Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position. [C, ME, PS, R, T, V]   [ICT: C6–4.1]

20-1 T3  Solve problems, using the cosine law and sine law, including the ambiguous case.  [C, CN, PS, R, T]
[ICT: C6–4.1]

Relations and Functions

20-1 RF1 Factor polynomial expressions of the form:

Screen Shot 2013-06-28 at 10.35.00 AM
where a, b and c are rational numbers.  [CN, ME, R]

20-1 RF2 Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems. [C, PS, R, T, V]  [ICT: C6–4.1, C6–4.3]

20-1 RF3 Analyze quadratic functions of the form

Screen Shot 2013-06-28 at 10.36.56 AM
and determine the:

  •  vertex
  • domain and range
  • direction of opening
  • axis of symmetry
  • x– and y-intercepts.    [CN, R, T, V]    [ICT: C6–4.3, C7–4.2]

20-1 RF4  Analyze quadratic functions of the form

Screen Shot 2013-06-28 at 10.38.37 AM

to identify characteristics of the corresponding graph, including:

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

and to solve problems. [CN, PS, R, T, V]   [ICT: C6–4.1, C6–4.3]

20-1 RF5  Solve problems that involve quadratic equations.  [C, CN, PS, R, T, V]  [ICT: C6–4.1]

20-1 RF6  Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables. [CN, PS, R, T, V]  [ICT: C6–4.1, C6–4.4]

20-1 RF7  Solve problems that involve linear and quadratic inequalities in two variables. [C, PS, T, V]  [ICT: C6–4.1, C6–4.3]

20-1 RF8  Solve problems that involve quadratic inequalities in one variable. [CN, PS, V]

20-1 RF9  Analyze arithmetic sequences and series to solve problems. [CN, PS, R]

20-1 RF10  Analyze geometric sequences and series to solve problems. [PS, R]

20-1 RF11  Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions). [CN, R, T, V]  [ICT: C6–4.1, C6–4.3]

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