Download Math Outcomes

Math Outcomes
Pre-Calculus____
Abilities Outcomes [Apply the following to each content outcome.]
1.
2.
Develop abilities in math.
A.
Higher thinking (analyze, evaluate, classify, predict, estimate, generalize, solve, decide,
relate, interpret, simplify).
B.
Communications (present, demonstrate, persuade, collaborate, explain, defend,
recommend).
C.
Goal setting/attainment (brainstorm, envision, research, plan, organize, persist).
D.
The quality process (plan, draft, analyze, and revise when producing products).
Be able to apply algebra knowledge and skills to a variety of purposes.
A.
Be able to relate algebra models to the real world (gather data, hypothesize, plot and
analyze graphs, conclude, apply common sense).
B.
Be able to conduct research (locate, observe/gather, analyze,conclude).
C.
Be able to use technology to assist in problem-solving (safely, effectively, efficiently,
accurately).
D.
Possess technical skills:
read/write/present: instructions, table, chart, lab report, specifications, proposal,
letters (complaint, recommendation), manual, form, checklist, technical research, bid,
technical analysis, summary
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technology: scientific/graphing calculator, math software, word processing,
spreadsheet, database, desktop publishing, Internet, search tools, AV production
Content Outcomes
3.
Be able to solve, graph, and analyze linear equations and inequalities.
A.
Be able to write an equivalent equation or inequality in simplest form.
B.
Know slope-intercept, standard, and point-slope form.
C.
Be able to use ordered pairs to graph or in a solution set.
D.
Know the relationship between the ordered pairs and graph of the equation.
E.
Know slope, intercepts, domain, and range.
4.
Be able to solve, graph, and analyze nonlinear equations/inequalities by various methods.
A.
B.
C.
D.
E.
F.
5.
Be able to write an equivalent equation or inequality in simplest form.
Be able to solve by factoring, completing the square,and using the quadratic formula.
Be able to determine ordered pairs in a solution set.
Be able to relate ordered pairs, graph, and equation.
Be able to find vertex, maximum, and minimum.
Know domain and range.
Be able to solve, graph, and analyze systems of equations/inequalities by various methods.
A.
B.
Be able to solve by graphing, substitution, and linear combination.
Know and be able to identify the types of solution.
6.
A.
B.
C.
D.
E.
F.
G.
H.
Understand and apply functions.
Know the definition of a function.
Be able to use functional notation and graph functions.
Know the attributes of families of functions.
Be able to develop functions from data points.
Be able to apply the Fundamental Theorem of Algebra involving Polynomial Functions.
Know how to locate zeros of a function.
Be able to perform algebraic operations on functions to create new functions.
Be able to form compositions of functions.
7.
Be able to graph,analyze and solve circular function.
A.
Know the definition of the six circular functions.
B.
Be able to use the sum/difference, double/half angle formulas to simplify circular functions
and find values for them.
C.
Know how to evaluate inverse trigonometric functions.
D.
Be able to verify trigonometric identities.
8.
Be able to solve trigonometric functions using triangles.
A.
Know the definitions of sine, cosine, and tangent relationships for cosine and sine.
B.
Be able to solve missing parts of a right triangle.
C.
Know and be able to apply laws of right triangle.
E.
Know cases of multiple or no solutions.
F.
Be able to identify the trigonometric function of an angle.
9. Understand and use the exponential and logarithmic functions.
A.
Know the relationship between exponential and logarithmic functions.
B.
C.
Know the methods of solving simple logarithmic and exponential equations.
Know the basic properties of and be able to use logarithms to solve problems.
10. Be able to perform operations and solve equations using complex numbers.
A.
Know the definition of complex numbers.
B.
Be able to apply the basic operations with radicals.
C.
Be able to solve equations with complex solutions.
11. Be able to perform operations and solve equations using radicals.
A.
Be able to simplify radicals.
B.
Know the four basic operations with radicals.
C.
Know the relationship between rational exponents and their radical form.
D.
Be able to solve linear equations with radical solutions.
E.
Be able to solve quadratic equations with radical solutions.
12. Understand and apply second-degree relations.
A.
Be able to identify the four conic sections.
B.
Know how to write the standard form equation for each conic section.
C.
Be able to recognize vertices, foci and asymptotes.
D.
Be able to solve general second-degree equations.
13.
Be able to perform operations using matrices.
A.
Know the definition and how to calculate a matrix and its determinant.
B.
Be able to add and multiply matrices
C.
Be able to identify identity and inverse matrices.
D.
Know how to write a system of equations as a matrix equation.
E.
Be able to solve general matrix equations, (homogeneous systems) and systems without
unique solutions.