Download ALGEBRA 2 HONORS - Tenafly High School

TENAFLY HIGH SCHOOL
COURSE PROFICIENCIES
COURSE TITLE:
Algebra 2 Honors
OBJECTIVES:
Students will demonstrate the ability to:
1.
understand the concept and use of variables.
2.
represent order and use numbers in a variety of equivalent forms (fractions, decimals,
percents, exponential/scientific notation, radical, rational exponents, calculator
display).
3.
identify real, rational, irrational, imaginary, pure
imaginary and complex numbers.
4.
formulate, simplify and evaluate algebraic expressions.
5.
understand the process of solving equations and inequalities with one variable, and
where appropriate representing solutions graphically.
6.
understand the process of solving absolute value equations and inequalities.
7.
understand and use mathematical vocabulary and symbolic notation to represent and
communicate ideas.
8.
use algebraic expressions to represent real-world situations.
9.
use one variable to solve word problems resulting in linear, quadratic, or rational
equations.
10.
identify the slope of a line given the equation of the line parallel or perpendicular to
the line.
11.
construct, interpret, and draw inferences from graphs, tables, and charts that reflect
data from real-world situations.
12.
use the slope-intercept to write an equation of a line.
13.
understand and apply the concept of finite and infinite relations and functions
(including domain and range).
COURSE TITLE:
Algebra 2 Honors
OBJECTIVES:
Students will demonstrate the ability to:
14.
represent and analyze the relationships among a table of values, an algebraic formula,
a written statement, and a graph.
15.
identify, write, and graph the absolute value function, the identity function, greatest
integer function and the inverse of a relation and identify the domain and range of
functions.
16.
write the inverse of a relation and give the domain and range of each.
17.
solve equations and inequalities including linear, quadratic, and rational.
18.
apply the concepts and skills of coordinate geometry such as midpoint, distance, and
slope.
19.
understand the process of solving systems of linear inequalities by graphing.
20.
solve linear and quadratic systems of equations.
21.
evaluate second and third order determinants and apply the concept to the solution of
systems of linear equations.
22.
understand the process of solving systems of equation in two and three variables.
23.
factor polynomial expressions.
24.
add, subtract, multiply, divide and simplify complex numbers, polynomials and
rational expressions.
25.
perform operations and simplify polynomial, rational, and radical expressions with
rational exponents.
26.
simplify expressions with real and radical exponents.
27.
solve radical and exponential equations.
28.
understand the process of solving quadratic equations.
29.
solve a quadratic equation and inequalities by factoring, completing the square, the
quadratic formula and by analysis of the graph of the quadratic function.
COURSE TITLE:
Algebra 2 Honors
OBJECTIVES:
Students will demonstrate the ability to:
30.
write a quadratic equation given the roots.
31.
calculate the zeros and intercepts of functions and relations.
32.
given the equation of the following conic sections, identify for:
a.
the circle: center and radius
b.
the ellipse: center, lengths of major and minor axis, foci
c.
the parabola: vertex, focus, directrix and axis of
symmetry
d.
the hyperbola: vertices, asymptotes, conjugate and transverse axes
33.
solve direct, inverse and joint variation problems.
34.
understand operations on, and the general properties and behavior of functions including
the basic concepts of exponential and logarithmic functions.
35.
apply the definitions of and the three laws of logarithmics to simplify expressions and
solve equations.
36.
approximate products, quotients, roots, and powers using calculators.
37.
graph relations of the form:
y  ax
y  log(x)
38.
Ax 2  By  Cx  Dy  E  0
xy  k
compute a specific term, insert means between two given terms, and compute the sum of
a finite number of terms in arithmetic or geometric sequences or series.
39.
find the sum of a convergent, infinite , geometric series.
40.
apply the Binomial theorem to expand binomials and find a specific term in an expansion.
PROGRESS INDICATORS
Daily assignments
Teacher-made quizzes
Teacher-made tests
Computer labs
Graphing Calculator labs