STANDARD A.REI.D.11
AI Given the
equations y=f(x) and y=g(x):
i) recognize that each x-coordinate of the intersection(s)
is the solution to the equation f(x)=g(x);
ii) find the solutions approximately using technology to graph the
functions or make tables of values; and
iii) interpret the solution in context.
Tasks are limited to cases where f(x) and g(x)
are linear, polynomial, absolute value, and exponential functions of the
form f(x)=a(b)x where a>0 and
b>0 (b≠1). Students should be taught to find the
solutions approximately using technology to graph the functions and make
tables of values. When solving any problem, students can choose either
strategy.
AII
Given the equations y = f(x) and y = g(x):
i) recognize that each x-coordinate of the intersection(s) is the solution
to the equation f(x) = g(x);
ii) find the solutions approximately using technology to graph the functions
or make tables of values;
iii) find the solution of f(x) < g(x) or f(x) ≤ g(x) graphically; and
iv) interpret the solution in context.
Tasks include cases where f(x) and/or g(x) are linear, polynomial, absolute
value, square root, cube root, trigonometric, exponential, and logarithmic
functions. |
REGENTS
WORKSHEETS |
AI |
Regents-Quadratic-Linear Systems 1
AI/AI |
2/9 |
TST
PDF
DOC |
Regents-Other Systems 1
AI/B |
14/2 |
TST
PDF
DOC |
AII |
Regents-Quadratic-Linear Systems 2
AII/B |
1/2 |
TST
PDF
DOC |
Regents-Other Systems 2
AII/B
table, radical, polynomial |
6/2 |
TST
PDF
DOC |
Regents-Other Systems 3
AII/B
exponential |
12/4 |
TST
PDF
DOC |
Regents-Other Systems 4
AII
logarithmic |
6 |
TST
PDF
DOC |
Regents-Other Systems 5
AII/A2/B
rational |
7/2/1 |
TST
PDF
DOC |
Regents-Other Systems 6
AII/B
trigonometric |
2/1 |
TST
PDF
DOC |
RELATED
TOPICS |
Regents-Absolute Value Equations 1
A2/B/SIII |
3/2/9 |
TST
PDF
DOC |
Regents-Absolute Value Equations 2
B/SIII |
3/20 |
TST
PDF
DOC |
Regents-Absolute Value Inequalities 1
A2/B/SIII |
4/13/9 |
TST
PDF
DOC |
Regents-Absolute Value Inequalities 2
A2/B/SIII
graph |
6/5/5 |
TST
PDF
DOC |
Regents-Quadratic Inequalities 1
IA/A2/B/SIII
one variable |
1/5/3/9 |
TST
PDF
DOC |
Regents-Quadratic Inequalities 2
B/SIII
one variable graph |
2/14 |
TST
PDF
DOC |
Regents-Quadratic Inequalities 3
A2/B
two variables |
1/5 |
TST
PDF
DOC |
PRACTICE
WORKSHEETS
& JOURNALS |
AI |
Practice-Systems |
9 |
WS
PDF |
Journal-Other Systems |
2 |
WS
PDF |
RELATED
TOPICS |
Practice-Absolute Value Equations |
20 |
WS
PDF |
Practice-Absolute Value Inequalities |
12 |
WS
PDF |
Practice-Quadratic Inequalities |
10 |
WS
PDF |
Journal-Absolute Value Inequalities |
1 |
WS
PDF |
Journal-Quadratic Inequalities |
2 |
WS
PDF |
LESSON PLAN |
Other Systems |
PDF
DOC |