# How Is Algebra Used Today

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```					                                             Algebra I

Teachiing Toolls
Teach ng Too s        for all subjects:
http://school.discovery.com/teachingtools/teachingtools.html: lesson planner,
worksheet generator, quiz center, puzzlemaker, clip art gallery.
http://4teachers.org
http://unitedstreaming.com/: There are some very good Algebra video clips. Search
by topic, SOL or take a look at the shared District Playlist for Algebra.

Ask an Expert       and get real-people help:
http://www.allexperts.com/browse.asp?Meta=8
http://mathcentral.uregina.ca/QQ/
http://mathforum.org/dr.math/
http://www.fliegler.com/mathman.htm

For ALL Algebra I SOLs:
http://www.va.algebra1.com/: Interactive tests and quizzes by Glencoe Textbook Chapter
and SOL.
2001, 2002 & 2003. Interactive online tools.
http://education.jlab.org/solquiz/: Va. SOL Practice Tests! All of the questions come from the
Standards of Learning tests.

Algebra I Virginia SOLs
A.1   The student will solve multi-step linear equations and inequalities in one variable,
solve literal equations (formulas) for a given variable, and apply these skills to solve
practical problems. Graphing calculators will be used to confirm algebraic solutions.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.math.com/homeworkhelp/Algebra.html
http://www.mathpower.com/tut441.htm: detailed explanation of how to solve an
equation
http://mathnotes.com/intermediate/aw_interchap2.html: Interactive tutorial. Requires
http://education.jlab.org/solquiz/: Va. SOL Practice Tests! All of the questions come from the
Standards of Learning tests.

A.2   The student will represent verbal quantitative situations algebraically and evaluate
these expressions for given replacement values of the variables. Students will choose
an appropriate computational technique, such as mental mathematics, calculator, or
paper and pencil.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.math.com/homeworkhelp/Algebra.html

A.3   The student will justify steps used in simplifying expressions and solving equations and
inequalities. Justifications will include the use of concrete objects; pictorial representations;
and the properties of real numbers, equality, and inequality.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.math.com/homeworkhelp/Algebra.html
http://mathnotes.com/Intro/Hchapter1/aw_InterActt1_9.html: Interactive tutorial. Requires
http://mathnotes.com/Intro/aw_introchap6.html: Interactive tutorial. Requires InterAct Math

A.4   The student will use matrices to organize and manipulate data, including matrix
industrial, and consumer situations.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.pen.k12.va.us/VDOE/Instruction/Math/algbiol.pdf: Graphing Calculator Activities:
“Punnett Squares using Matrices”p.11.

A.5   The student will create and use tabular, symbolic, graphical, verbal, and physical
representations to analyze a given set of data for the existence of a pattern,
determine the domain and range of relations, and identify the relations that are
functions.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.pen.k12.va.us/VDOE/Instruction/Math/algbiol.pdf: Graphing Calculator Activities:
“Foxes & Rabbits”p.1; “How Big is That Cell?”p.18; “Deer & Human Population Study”p.81;
“Examination of Hardy-Weinberg Theorem”p.83.
http://nces.ed.gov/nceskids/graphing/line_data.asp

A.6   The student will select, justify, and apply an appropriate technique to graph linear
functions and linear inequalities in two variables. Techniques will include slope-
intercept, x- and y-intercepts, graphing by transformation, and the use of the
graphing calculator.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.math.com/homeworkhelp/Algebra.html
Green Globs & Graphing Equations by Sunburst Communications, Inc. Software: Linear
Equation Grapher, Tracker
(http://www.enc.org/resources/records/full/0,1240,013633,00.shtm)
http://www.terragon.com/tkobrien/algebra/ interactive tutorial, puzzles, quizzes, internet
activity for line-of-fit, message board, expert.

A.7   The student will determine the slope of a line when given an equation of the line, the
graph of the line, or two points on the line. Slope will be described as rate of change
and will be positive, negative, zero, or undefined. The graphing calculator will be used
to investigate the effect of changes in the slope on the graph of the line.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.math.com/homeworkhelp/Algebra.html
http://www.pen.k12.va.us/VDOE/Instruction/Math/algbiol.pdf: Graphing Calculator Activities:
“Brain Storm”p.64; “Hanging Around the Lake”p.70; “Let There Be Light”p.73.
Green Globs & Graphing Equations by Sunburst Communications, Inc. Software: Linear
Equation Grapher, Tracker, Green Globs
(http://www.enc.org/resources/records/full/0,1240,013633,00.shtm)
http://www.terragon.com/tkobrien/algebra/: interactive tutorial, puzzles, quizzes, internet
activity for line-of-fit, message board, expert.

A.8    The student will write an equation of a line when given the graph of the line, two
points on the line, or the slope and a point on the line.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.math.com/homeworkhelp/Algebra.html
Green Globs & Graphing Equations by Sunburst Communications, Inc. Software: Linear
Equation Grapher, Tracker, Green Globs
(http://www.enc.org/resources/records/full/0,1240,013633,00.shtm)
http://www.gowcsd.com/master/ghs/math/furman/linsystem/call_me.htm: Guided Web
quest. Students write systems of equations to determine which long distance plan is best for
them.
http://www.terragon.com/tkobrien/algebra/ interactive tutorial, puzzles, quizzes, internet
activity for line-of-fit, message board, expert.

A.9    The student will solve systems of two linear equations in two variables both algebraically and
graphically and apply these techniques to solve practical problems. Graphing calculators will
be used both as a primary tool for solution and to confirm an algebraic solution.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.math.com/homeworkhelp/Algebra.html
http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=syslin: solve linear
systems-all methods
http://www.gowcsd.com/master/ghs/math/furman/linsystem/call_me.htm: Guided
Web quest. Students write systems of equations to determine which long distance
plan is best for them.
http://www.terragon.com/tkobrien/algebra/ interactive tutorial, puzzles, quizzes, internet
activity for line-of-fit, message board, expert.
http://mathnotes.com/intermediate/aw_interchap4.html: Interactive tutorial. Requires

A.10   The student will apply the laws of exponents to perform operations on expressions
with integral exponents, using scientific notation when appropriate.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://mathnotes.com/Intro/aw_introchap3.html: Interactive tutorial. Requires InterAct Math
http://www.mathpower.com/tut38.htm: multiplying like bases
http://www.purplemath.com/modules/exponent2.htm: negative exponents
http://www.purplemath.com/modules/exponent3.htm: Scientific Notation

A.11   The student will add, subtract, and multiply polynomials and divide polynomials with
monomial divisors, using concrete objects, pictorial and area representations, and
algebraic manipulations.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.purplemath.com/modules/polydefs.htm: defining polynomials and degree
http://mathnotes.com/Intro/aw_introchap3.html: Interactive tutorial. Requires InterAct Math
http://www.purplemath.com/modules/polymult.htm: multiplying polynomials
http://www.mathpower.com/tut286.htm; http://www.mathpower.com/tut283.htm;
http://www.mathpower.com/tut488.htm: multiply binomials (student generated tutorials)
http://illuminations.nctm.org/mathlets/geo_proof1/index.html: interactive visual of squaring a
binomial
http://www.purplemath.com/modules/polydiv.htm: dividing polynomials

A.12   The student will factor completely first- and second-degree binomials and trinomials in
one or two variables. The graphing calculator will be used as a tool for factoring and
for confirming algebraic factorizations.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.purplemath.com/modules/factquad2.htm: factor a-b-c or “box” method
http://www.purplemath.com/modules/specfact.htm: factor difference of squares
http://mathnotes.com/Intro/aw_introchap4.html: Interactive tutorial. Requires InterAct Math

A.13   The student will express the square root of a whole number in simplest radical form
and approximate square roots to the nearest tenth.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://mathnotes.com/intermediate/aw_interchap6.html: Interactive tutorial. Requires
http://mathnotes.com/intermediate/aw_interchap7.html: Interactive tutorial. Requires
A.14   The student will solve quadratic equations in one variable both algebraically and
graphically. Graphing calculators will be used both as a primary tool in solving
problems and to verify algebraic solutions.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://mathnotes.com/intermediate/aw_interchap8.html: Interactive tutorial. Requires
Green Globs & Graphing Equations by Sunburst Communications, Inc. Software:
(http://www.enc.org/resources/records/full/0,1240,013633,00.shtm)
http://www.coolmathalgebra.com/Algebra2/08Conics/03_parabolas-intro.htm

A.15   The student will, given a rule, find the values of a function for elements in its domain
and locate the zeros of the function both algebraically and with a graphing calculator.
The value of f(x) will be related to the ordinate on the graph.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.pen.k12.va.us/VDOE/Instruction/Math/algbiol.pdf: Graphing Calculator Activities:
“Brain Storm”p.64
http://www.purplemath.com/modules/intrcept.htm: x- & y-intercepts

A.16   The student will, given a set of data points, write an equation for a line of best fit and
use the equation to make predictions.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.ciese.org/curriculum/popgrowthproj/information.html: This series of
activities explores the environmental and mathematical aspects of population growth.
Using archived census and demographic data as well as up-to-the-minute population
estimates from the U.S. Census Bureau, students will learn how to model population
growth and study the implications of a changing population.
http://www.terragon.com/tkobrien/algebra/ interactive tutorial, puzzles, quizzes, internet
activity for line-of-fit, message board, expert.
http://illuminations.nctm.org/imath/912/TroutPond/Trout2.html
http://www.coolmathalgebra.com/Algebra2/01AlgebraReview/06_predicting.htm

A.17   The student will compare and contrast multiple one-variable data sets, using statistical
techniques that include measures of central tendency, range, and box-and-whisker
graphs.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.pen.k12.va.us/VDOE/Instruction/Math/algbiol.pdf: Graphing Calculator Activities:
“Weights & Drug Doses”p.32; “What’s the Change?”p.53; “Flapping Gills”p.59; “Brain
Storm”p.64; “Survivalist”p.67; “Hanging Around the Lake”p.70; “Bear With Us”p.77.
How Numbers Lie: Critical Thinking: 23 minute VHS video by Learning Seed, available at
TRC http://192.168.3.2/trc/wx/s.exe

A.18   The student will analyze a relation to determine whether a direct variation exists and
represent it algebraically and graphically, if possible.
http://www.va.algebra1.com/: Lots of GREAT interactive materials all aligned by
Glencoe Textbook Chapter and Va. SOL. Interactive tests and quizzes, Vocabulary Review
games, BrainPops video clips, Calculator Keystrokes, WebQuest Projects, Problem of the
Week, USA Today Related Activities Link, and lots more.
http://www.pen.k12.va.us/VDOE/Instruction/Math/algbiol.pdf: Graphing Calculator Activities:
“Genetics: What is the Chance?”p.26; “You Gotta Have Heart”p.40; “The Hermit’s
Epidemic”p.47; “Bear With Us”p.77; “Deer & Human Population Study”p.81.

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