Algebra II
Standard
|
| Skills (Note:
none listed for science standards)
|
Teacher
Strategy
|
Student
Tasks or Scientific Investigation/Experimentation
|
Assessment
or Scientific Application/Assessment
|
Resources
and Technology
|
|
The California Mathematics Content Standards -Grade8 9 10 11 12
Algebra II
Standard
7. Students add, subtract, multiply,
divide, reduce and evaluate rational
expressions with monomial and
polynomial denominators, and
simplify complicated fractions
including fractions with negative
exponents in the denominator.
Skills (Note: none listed for science standards)
Teacher Strategy
Review adding and subtracting fractions with arithmetic examples so students remember about finding the least common multiple (LCM)and equivalent fractions. After going over factoring have students add and subtract fractional expressions with unlike denominations.Be sure to point out how signs change when subtraction is involved.
Again review multiplication and division with arithmetic examples.Show how LCM does not enter multiplication or division.Show students how to reduce fractions.Be sure to point out that the expression
Review exponents and the rules of powers, division and multiplication.Show how monomials differ from binomials and trinomials when reducing fractions.
Student Tasks or Scientific Investigation/Experimentation
Have students do problems reviewing factoring. Given a problem with addition or subtraction of
natural expressions,have students write step-by-
step what occurred in words.Repeat the same directions with multiplication
and division.Have students explore complex rational
expressions where the main fractional bar can
be considered as a division sign.
Assessment or Scientific Application/Assessment
Have students simplify various fractional
expressions that involve factoring,reducing and
the operations of addition,subtraction,
multiplication and division.Be sure to mix
binomial and trinomial expressions with
monomials.
Resources and Technology
General Resources:Classic Math:History Topics
for the Classroom by A.Johnson illustrates
how mathematics has been viewed over the
ages by different cultures.Topics include:52
Historical Events;50 Quotes of the Week;24
Historical Problems;The Origin of Math;and
The Meaning of Historical Symbols and
Mathematical Terms.188 pages.Available
through mathematics resource companies
including ETA 1-800-445-5985.Mathematical Puzzles by Martin Gardner,
Thomas Y.Crowell Company,1961Technology:Introductory Algebra by Boxer
Learning Inc.for 7th-9th grade is rated
Desirable by the California Instructional
Technology Clearinghouse.(CD-ROM,
Windows)This introductory algebra tutorial
offers step-by-step instruction,visual
interaction,real-world problems,practice,and
testing.Topics included in the ten sections
include integers,variable expressions,
sentences,equations and inequalities,tables
and graphs,exponents,fractions,decimals,
and absolute value.
This page is taken from the Santa Clara Office of Education.