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ALGEBRA 2AB (Annual Course-Grade
8-12)
Perquisite: Algebra
1AB
31-03-03/04 Algebra 2AB
COURSE DESCRIPTION
The course extends the mathematical
content of a Algebra 1AB and Geometry 1AB. Abstract thinking
skills, the function concept, and the algebraic solution of problems
in various content areas are emphasized. Calculators and
computers may be used throughout the course to aid in the solution
of problems, as well as in the verification of estimates and
approximations.
Students engage in intellectual
activities that include analyzing, classifying, planning, comparing,
etc., and communicate their processes and results. They draw on
mathematical and scientific ideas and use tools, such as
manipulatives, calculators, computers, and assorted instructional
materials. They use various techniques to solve problems and
investigations. They work in small groups or independently,
doing investigations and projects. They consult with each other and
with the teacher, keeping journals and other written reports of
their work.
The curriculum is rich in solving real
problems and investigations and includes a full result, all students
will exhibit high levels of achievement by completion of rigorous
mathematics that provide barrier-free access to post-secondary
education, advanced technology education, or entry into a
technology-rich workplace.
STANDARDS
Upon graduation from LAUSD, students
will be able to:
3. Solve problems based on
algebraic relationships and functions; explore the relationship
between the symbolic mathematical form of a function (expressed in
equalities or inequalities) and a two- or three- dimensional graph
of that function. S
5. Represent problem situations
using discrete structures (combinations and permutations) such as
patterns, series, sequences, recurrence relationships, and finite
graphs to determine possible combinations and arrangements. LA, S,
H
6. Apply theoretical or experimental probability to
represent data effectively to make valid, appropriate, and useful
decisions. S, H
9. Make and test conjectures (inductive
and deductive), construct simple arguments, validate solutions, and
apply conclusions to various real-world situations. LA, S,
H
12. Use mathematical language and concepts to
validate and communicate the solutions of given problems in oral,
written, and graphic forms. LA
*H=History/Social
Sciences LA=Language
Arts
S=Science Interdisciplinary connections are indicated at the end
of each standard. They illustrate the connections between and among
content areas. Teachers should establish additional connections
which will promote interdisciplinary instruction.
REPRESENTATIVE OBJECTIVES
The student gives evidence of having
achieved the objectives of the course when he or she has the ability
to demonstrate mastery and understanding of the concepts as
described below.
MASTERY - Upon completion of this
course, the student will demonstrate comprehension through
consistent performance (scoring 75% or better) on tests or in
applications of these skills and concepts.
- Arithmetic operations and absolute values of
positive and
negative numbers - Arithmetic operations with
literal symbols - Linear equations and their
graphs - Inequalities -
Ratio, proportion and variation - Operations
with integers exponents - Operations with
polynomial and rational expressions - Systems
of linear equations with two
unknowns;
solutions and applications - Special products
and factoring - Solutions of quadratic
equations by
factoring,
formula, graphing, and completing a square -
Square roots and operations with radicals -
Solution of standards word problems -
Application of formulas for perimeter, areas,
and volumes of simple
geometric figures
PROFESSIONAL DEVELOPMENT
All teachers implementing this program
should attend professional development activities such as: content
specific, network groups, mathematics conferences, training
etc.
WHAT THE CLASSROOM SHOULD LOOK
LIKE
Students engage in intellectual
activities that include analyzing, classifying, planning, comparing,
etc. and communicate their processes and results. They draw on
mathematical and scientific ideas and use tools, such as
manipulatives, calculators, computers, and assorted instructional
materials. They use various techniques to solve problems and
investigations and projects. They consult with each other and with
the teacher keeping journals and written reports of their work. The
curriculum is rich in real problem solving and investigations and
include full range of mathematical concepts. Assessment is
integrated with the curriculum and instruction. This visions is at
work in every part of the classroom.
As a result of this vision, all students
will exhibit high levels of achievement by completion of rigorous
mathematics that provide barrier free access to post secondary
education, advanced technology education, or entry into a technology
rich workplace.
SUPPORT FOR THE CLASSROOM
All students shall have access to
hands-on instruction that requires the use of manipulative materials
and graphing calculators.
ASSESSMENT
Teachers and students should be involved
in assessment strategies such as: benchmark objectives, performance
assessment, journals, and portfolios.
PROGRAM RECOMMENDATIONS
Refer to Memorandum No. 12 Office of the
Superintendent, August 26, 1996, LIST OF AUTHORIZED INSTRUCTIONAL
MATERIALS, for listing of titles of textbooks and other
instructional materials.
For more information, call
Jefferson High School Distance Learning at (323) 232-2261 and speak
with Emmanuel Littrel Ed.M., Mathematics Department
Hardware/software requirements: PC
Pentium I (133 Mhz) or better, 32 Mb RAM, Windows 95, 98 or 2000,
and Media Player 6.0 or better (can be downloaded at the same time
as the Rotor Player). |