G.
Perform ope rations on exponents and polynomials
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
G.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
G.1. you apply product , quotient, and power rules to integer exponents
G.2. you identify the degree of a polynomial
G.3. you add polynomials
G.4. you subtract polynomials
G.5. you multiply polynomials
G.6. you divide polynomials
G.7. you illustrate the difference between factoring, the verb, and factor, the
noun
G.8. you factor out the greatest common factors
G.9. you factor trinomials
G.10. you factor by substitution
G.11. you factor the difference of two squares
G.12. you factor the difference of two cubes
G.13. you factor the difference of the sum of two cubes
G.14. you identify when to use the zero factor property
G.15. you solve quadratic equations by factoring
G.16. you factor by grouping
G.17. you solve cubic equations by factoring
H.
Evaluate rational ex pressions and solve corresponding rational equations
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
H.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
H.1. you identify rational expressions
H.2. you simplify rational expressions
H.3. you identify the domain of a rational expression
H.4. you add rational expressions
H.5. you subtract rational expressions
H.6. you multiply rational expressions
H.7. you divide rational expressions
H.8. you simplify complex fractions
H.9. you solve equations with rational expressions
H.10. you translate applications dealing with variations
H.11. you solve applications dealing with variations
H.12. you solve application problem involving rational expressions
I.
Evaluate radical expressions and solve corresponding radical equations
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
I.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
I.1. you convert from radical notation to exponential notation
I.2. you convert from exponential notation to radical notation
I.3. you apply the rules of integer exponents to rational exponents
I.4. you simplify radicals
I.5. you add radicals
I.6. you subtract radicals
I.7. you multiply radicals
I.8. you divide radicals
I.9. you solve equations which involve radicals
I.10. you solve applications involving radicals
I.11. you identify complex numbers
I.12. you add complex numbers
I.13. you subtract complex numbers
I.14. you multiply complex numbers
I.15. you simplify radicals that include complex numbers
I.16. you divide complex numbers
J.
Graphing quadratic functions and solving quadratic equations
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
J.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
J.1. you use the square root property to solve a quadratic equation
J.2. you use the factoring to solve a quadratic equation
J.3. you use the completing the square formula to solve a quadratic equation
J.4. you use quadratic formula to solve a quadratic equation
J.5. you distinguish which of the above four techniques should be used to most
efficiently solve a quadratic equation
J.6. you solve application problems which involve quadratics
J.7. you use the Pythagorean Theorem to solve problems involving right triangles
J.8. you graph quadratic functions
J.9. you identify quadratic functions and its x-and y-intercepts
J.10. you identify quadratic functions and its domain
J.11. you identify quadratic functions and its range
J.12. you identify quadratic functions and its vertex
J.13. you identify quadratic functions and its axis of symmetry
J.14. you identify quadratic functions and its concavity
J.15. you identify quadratic functions and where the function increases
J.16. you identify quadratic functions and where the function decreases
J.17. you sketch the corresponding quadratic function for a given quadratic
application
problem
J.18. you solve quadratic inequalities
J.19. you solve rational inequalities
J.20. you use distance formula to determine the basic equation of a circle
J.21. you graph equations of a circle
K.
Using Algebra on Functions
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
K.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
K.1. you add functions
K.2. you subtract functions
K.3. you multiply functions
K.4. you divide functions
K.5. you find the composites of functions
K.6. you identify one-to-one functions
K.7. you find and graph inverse functions
K.8. you sketch miscellaneous functions (square root, cubics, absolute values )
L.
Illustrate knowledge of exponential and logarithmic functions
Linked Core Abilities
Critical thinking
Mathematics
Competence will be demonstrated:
L.1. by a satisfactory score on all tests, quizzes, or graded assignments
incorporating
this competency
Criteria - Performance will be satisfactory when:
L.1. you identify exponential functions
L.2. you graph exponential functions
L.3. you infer graph of the logarithmic function by using the inverse of the
exponential
L.4. you graph logarithmic functions
L.5. you rewrite exponential equations as logarithmic
L.6. you rewrite logarithmic equations as exponential
L.7. you use properties of logarithms
L.8. you solve exponential equations
L.9. you solve logarithmic equations
L.10. you solve applied problems involving exponential equations
L.11. you solve applied problems involving logarithmic equations
