1. A-1
Algebra 1 Standard 1:
Students identify and use the arithmetic properties of subsets of integers and rational,
irrational, and real numbers, including closure properties for the four basic arithmetic
operations .
WEBSITE:
http://www.saddleback.edu/faculty/lperez/algebra2go/begalgebra/index.html#real
ANNOTATION: This site contains activities to support algebra instruction. This
particular module addresses the real number system, algebraic properties and basic
arithmetic operations. The following tools are available on this site: class notes, video
worksheet and lectures from teacher tube and you tube.
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2. A-2
Algebra 1 Standard 1:
Students identify and use the arithmetic properties of subsets of integers and rational,
irrational, and real numbers, including closure properties for the four basic arithmetic
operations .
WEBSITE: http://www.math.com/school/subject2/lessons/S2U3L2GL.html
ANNOTATION: This math.com site offers step-by-step text explanation and worksheets
to reinforce basic algebra concepts. This particular activity addresses solving
multiplication equations.
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3. A-3
Algebra 1 Standard 1:
Students identify and use the arithmetic properties of subsets of integers and rational,
irrational, and real numbers, including closure properties for the four basic arithmetic
operations .
WEBSITE: http://www.youtube.com/watch?v=yAHonwohXBk
ANNOTATION: This you tube site features a teacher using a white board to explain the
four basic algebra properties. This video is sequential and comprehensible.
WEBPAGE:
4. A-4
Algebra 1 Standard 1:
Students identify and use the arithmetic properties of subsets of integers and rational,
irrational, and real numbers, including closure properties for the four basic arithmetic
operations .
WEBSITE: http://amby.com/educate/ord-op/
ANNOTATION: This site features an interactive tutorial on the order of operations. A
slide show is also available on this topic.
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5. A-5
Algebra 1 Standard 2:
Students understand and use such operations as taking the opposite, finding the
reciprocal, taking a root, and raising to a fractional power. They understand and use the
rules of exponents.
WEBSITE: http://www.mathwarehouse.com/algebra/exponents/
ANNOTATION: This site provides graphic explanations on algebraic concepts. This
particular module addresses the concept, function and application of exponents.
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6. A-6
Algebra 1 Standard 2:
Students understand and use such operations as taking the opposite, finding the
reciprocal, taking a root, and raising to a fractional power. They understand and use the
rules of exponents.
WEBSITE:
http://www.ltcconline.net/greenl/java/BasicAlgebra/ExponentRules/ExponentRules.html
ANNOTATION: This site drills the concept on exponents with an interactive applet
offering three types of practice in exponents. The problems generated are categorized as
easy, medium or difficult. A random category of problem generation is also available.
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7. A-7
Algebra 1 Standard 2:
Students understand and use such operations as taking the opposite, finding the
reciprocal, taking a root, and raising to a fractional power. They understand and use the
rules of exponents.
WEBSITE: http://www.mathsisfun.com/algebra/exponent-fractional.html
ANNOTATION: This site presents algebra concepts in a user friendly format
A text explanation and graphics are comprehensible.
This lesson is on exponents, radicals and fractional powers.
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8. A-8
Algebra 1 Standard 3:
Students solve equations and inequalities involving absolute values.
WEBSITE: http://www.sci.uidaho.edu/polya/math108/On-Line_Lectures/chapter03.htm
ANNOTATION: This site provides a video tutorial in all algebra concepts. In this
particular reference, a college professor explains the concept of equations and inequalities
involving absolute values. The commentary is accessible to all learners.
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9. A-9
Algebra 1 Standard 4:
Students simplify expressions before solving linear equations and inequalities in one
variable, such as 3(2x-5) + 4(x-2) = 12.
WEBSITE:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut14_line
areq.htm
ANNOTATION: This site is has a virtual math lab. It has step-by-step examples of
algebraic concepts with text explanation and video examples. The example referenced
explains equations and inequalities with one variable.
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10. A-10
Algebra 1 Standard 4:
Students simplify expressions before solving linear equations and inequalities in one
variable, such as 3(2x-5) + 4(x-2) = 12.
WEBSITE: http://www.youtube.com/watch?v=tdiNDwKOBvw&feature=related
ANNOTATION: This you tube video, the “Video Math Tutor” address the concept of
equations. Content vocabulary is addressed.
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11. A-11
Algebra 1 Standard 5:
Students solve multi-step problems, including word problems, involving linear equations
and linear inequalities in one variable and provide justification for each step.
WEBSITE: http://nlvm.usu.edu/en/nav/frames_asid_324_g_3_t_2.html
ANNOTATION: This site has a virtual balance that is a simulation of balancing
equations in one variable. It is a useful tool for struggling learners.
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12. A-12
Algebra 1 Standard 6:
Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x +
6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they
sketch the region defined by 2x + 6y < 4).
WEBSITE: http://www.mathsnet.net/graphs/lmxcb2.html
ANNOTATION: This interactive graphing simulation reinforces the concept of a linear
equation on a Cartesian plane. This site reinforces the concept of rise and run and points
on a line. It may be useful for struggling learners.
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13. A-13
Algebra 1 Standard 6:
Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x +
6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they
sketch the region defined by 2x + 6y < 4).
WEBSITE: http://www.softschools.com/math/geometry/graphing_ordered_pairs/
ANNOTATION: This site is appropriate for struggling learners and allows the user to
use a simple interactive graphing application to find ordered pairs.
WEBPAGE:
14. A-14
Algebra 1 Standard 6:
Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x +
6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they
sketch the region defined by 2x + 6y < 4).
WEBSITE:
http://www.classzone.com/cz/books/ml_alg_1_ca/resources/applications/animations/html
/alg107_ch04_pg226.html
ANNOTATION: This site may be accessed through ED 1 stop at the Contra Costa
County Office of education under the McDougal Littel Algebra book computer
animations or from the web address provided below. This site provides animations of
mathematical concepts such as graphing the x and y intercepts. The site also provides an
e workbook, e flash cards of mathematical content vocabulary, interactive practice
problems and quizzes.
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15. A-15
Algebra 1 Standard 7:
Students verify that a point lies on a line, given an equation of the line. Students are able
to derive linear equations by using the point-slope formula.
WEBSITE: http://iweb.langara.bc.ca/mathstats/members/acooper/public_html/mathlabs/
linear/index.htm#
ANNOTATION: This site offers a graphing tool to help students understand the concept
of graphing linear equations. This site is considered pre-calculus, but the tool itself is
helpful to practice graphing slope-intercept form.
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16. A-16
Algebra 1 Standard 7:
Students verify that a point lies on a line, given an equation of the line. Students are able
to derive linear equations by using the point-slope formula.
WEBSITE: http://hotmath.com/hotmath_help/games/ctf/ctf_hotmath.swf
ANNOTATION: This interactive game will help struggling learners reinforce the
concept of ordered pairs.
WEBPAGE:
17. A-17
Algebra 1 Standard 7:
Students verify that a point lies on a line, given an equation of the line. Students are able
to derive linear equations by using the point-slope formula.
WEBSITE: http://plaza.ufl.edu/youngdj/lesson/method3.htm
ANNOTATION: This interactive tutorial gives text explanation on slides, followed by
drill and practice in deriving linear equations by the using the point-slope formula.
This site may be of use for struggling learners.
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18. A-18
Algebra 1 Standard 8:
Students understand the concepts of parallel lines and perpendicular lines and how those
slopes are related. Students are able to find the equation of a line perpendicular to a
given line that passes through a given point.
WEBSITE:
http://www.terragon.com/tkobrien/algebra/topics/perpendicularlines/perpendicularlines.ht
ml
ANNOTATION: This site gives text explanation, step-by-step examples of equations
and a graphing applet.
WEBPAGE:
19. A-19
Algebra 1 Standard 9:
Students solve a system of two linear equations in two variables algebraically and are
able to interpret the answer graphically. Students are able to solve a system of two linear
inequalities in two variables and to sketch the solution sets.
WEBSITE: http://zonalandeducation.com/ezGraph/ezGraph.html
ANNOTATION: This online graphics calculator can be used to create graphs for any
type of function. Any polynomial, rational, exponential, logarithmic, or trigonometric
function can be drawn with it. After entering variables into the function definition, the
effect of changing the function's coefficients affect the shape of the graph. Use a mouse
drag and click to zoom. Also, coordinates on the graph can be identified with a mouse
click.
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20. A-20
Algebra 1 Standard 9:
Students solve a system of two linear equations in two variables algebraically and are
able to interpret the answer graphically. Students are able to solve a system of two linear
inequalities in two variables and to sketch the solution sets.
WEBSITE: http://www.sosmath.com/soe/SE2001/SE2001.html
ANNOTATION: This site provides a text explanation of algebra concepts, such as
solving linear equations with two variables. The tutorials are comprehensible, but it is
written in the format of an online textbook and is not interactive.
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21. A-21
Algebra 1 Standard 10:
Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques.
WEBSITE: http://coe.indstate.edu/faculty/burdenrobin/Polynomial_files/frame.htm
ANNOTATION: This site, Polynomial Jeopardy, is a review of polynomials including:
key terms, addition, subtraction, multiplication & factoring of polynomials, F.O.I.L., and
solving of equations. The activity is presented in a game-like format that may increase
student engagement. It may be helpful for struggling learners.
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22. A-22
Algebra 1 Standard 10:
Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques.
WEBSITE: http://bscstudent.buffalostate.edu/kwianl56/web/division-of-polynomials-
by-monomials.html
ANNOTATION: This Web page is a collection of resources on Polynomials. The Web
page includes narrated PowerPoint presentations on topics such as adding and subtracting
polynomials, The FOIL Method, factoring a Quadratic Equation, and dividing a
polynomial by a monomial. There is a link to a blog on polynomials, which is a portal to
numerous quality resources on polynomials. There is also a podcast that gives you a
description of monomials, binomials, and polynomials. The snapshot of the web page
below is a narrated power point on dividing polynomials.
WEBPAGE:
23. A-23
Algebra 1 Standard 10:
Students add, subtract, multiply, and divide monomials and polynomials. Students solve
multi-step problems, including word problems, by using these techniques.
WEBSITE: http://bscstudent.buffalostate.edu/kwianl56/web/adding-polynomials.html
ANNOTATION: This web page features a narrated power point on adding polynomials.
Mathematics vocabulary is stressed as well as a variety of methods for solving the
problems presented.
WEBPAGE:
24. A-24
Algebra 1 Standard 11:
Students apply basic factoring techniques to second- and simple third-degree
polynomials. These techniques include finding a common factor for all terms in a
polynomial, recognizing the difference of two squares, and recognizing perfect squares
of binomials.
WEBSITE: http://algebracrusher.com/Documents/OA8TCP1CA_6_7_2.pps
ANNOTATION: This power point is an un-narrated tutorial on factoring third degree
polynomials. It provides a step-by-step explanation of this process and gives problems to
solve that are answered on other slides. The slides must be clicked to advance.
WEBPAGE:
25. A-25
Algebra 1 Standard 11:
Students apply basic factoring techniques to second- and simple third-degree
polynomials. These techniques include finding a common factor for all terms in a
polynomial, recognizing the difference of two squares, and recognizing perfect squares
of binomials.
WEBSITE: http://dragonometry.net/factorpolynomial.php
ANNOTATION: This site is an interactive drill for factoring second degree trinomials.
After the user enters the trinomial, the steps for solving the equation are given. This site
is sponsored by Holt.
WEBPAGE:
26. A-26
Algebra 1 Standard 12:
Students simplify fractions with polynomials in the numerator and denominator by
factoring both and reducing them to the lowest terms.
WEBSITE: http://www.purplemath.com/modules/fraction5.htm
ANNOTATION: Purple math is a free online text tutorial that gives a step-by-step
explanation with examples of algebra concepts. This particular module focuses on
simplifying fractions with polynomials. This site is not interactive, but is helpful.
WEBPAGE:
27. A-27
Algebra 1 Standard 13:
Students add, subtract, multiply, and divide rational expressions and functions. Students
solve both computationally and conceptually challenging problems by using these
techniques.
WEBSITE: http://eom.springer.de/R/r077410.htm
ANNOTATION: This online mathematics encylopedia is a reference for mathematical
definitions, concepts, explanations, surveys, examples, terminology and methods, which
are useful for building academic content vocabulary in mathematics. Their are over
50,000 notations, so absolutely any mathematical term can be found and explained.
In this instance, an explanation of functions is provided.
WEBPAGE:
28. A-28
Algebra 1 Standard 13:
Students add, subtract, multiply, and divide rational expressions and functions. Students
solve both computationally and conceptually challenging problems by using these
techniques.
WEBSITE: http://wims.unice.fr/wims/wims.cgi?
lang=en&module=H4/algebra/segfrac.en
ANNOTATION: This site is an interactive tutorial on decomposing rational numbers.
WEBPAGE:
29. A-29
Algebra 1 Standard 14:
Students solve a quadratic equation by factoring or completing the square.
WEBSITE:
http://www.ltcconline.net/greenl/java/#Factoring,_Rational_Expressions,_and_Completin
g_the_Square
1. ANNOTATION: This site has an applet problem solver for drill in the concept of
the quadratic equation and completing the square. This site is intended for
students who have had instruction on the concept, but need computer assisted
practice. In order to use the applet, click on the link, click on the "New Problem"
button, fill in the text field with the correct step and hit enter when finished. All
entries should be integers or fractions.
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30. A-30
Algebra 1 Standard 15:
Students apply algebraic techniques to solve rate problems, work problems, and percent
mixture problems.
WEBSITE: http://www.algebrahelp.com/lessons/wordproblems/basics/
ANNOTATION: This algebra.com site provides step-by-step text help in solving
algebra problems. Calculators, worksheets and resources are provided. All basic algebra
concepts are addressed.
WEBPAGE:
31. A-31
Algebra 1 Standard 15:
Students apply algebraic techniques to solve rate problems, work problems, and percent
mixture problems.
WEBSITE: http://amby.com/educate/math/4-2_prop.html
ANNOTATION: This site offers a review of using the proportion method to solve
percent problems. A step-by-step- explanation incorporates a format similar to an online
textbook. Sample problems are included with the answers given.
WEBPAGE:
32. A-32
Algebra 1 Standard 15:
Students apply algebraic techniques to solve rate problems, work problems, and percent
mixture problems.
WEBSITE:
http://www.hippocampus.org/course_locator;jsessionid=1FA37F05C5EACC6D067B793
03547C124?course=Algebra
IA&lesson=18&topic=1&width=995&height=829&topicTitle=Solving%20rate
%20problems&skinPath=http://www.hippocampus.org/hippocampus.skins/default
ANNOTATION: In addition to the web address given, this site can be found on ed1stop.
It addresses every algebra standard via a short focused text explanation and an interactive
skill building problem solving activity. These problems ask the user to solve rate, work
and coin problems.
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33. A-33
Algebra 1 Standard 16:
Students understand the concepts of a relation and a function, determine whether a given
relation defines a function, and give pertinent information about given relations and
functions.
WEBSITE: http://www.wolframalpha.com/input/?i=plot+x%5E3+-+6x%5E2+
%2B+4x+%2B+12
ANNOTATION: Wolfram Alpha is a free online computational knowledge engine that
generates answers to questions in real time by doing computations on its own vast
internal knowledge base. This particular module references plotting and graphing a
function. If you want a step-by-step guide to solve a problem, click the “show steps”
button in the result pod. Any algebraic concept is available in this application as well as
basic mathematics, geometry and calculus. In order to interact with this application, you
must download the free mathematica player.
WEBPAGE:
34. A-34
Algebra 1 Standard 17:
Students determine the domain of independent variables and the range of dependent
variables defined by a graph, a set of ordered pairs, or a symbolic expression.
WEBSITE:
http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/DomainRangeGraph/Dom
ainRangeGraph.html
ANNOTATION: This site gives an interactive tutorial by problem solving. Graphing
domain and range problems are addressed.
WEBPAGE:
35. A-35
Algebra 1 Standard 18:
Students determine whether a relation defined by a graph, a set of ordered pairs, or a
symbolic expression is a function and justify the conclusion.
WEBSITE:
http://www.wonderwhizkids.com/Maths/Set+Theory/Relations/Relations.html
ANNOTATION: This site is a wiki with a very comprehensive textual and graphic
explanation of many algebra topics. In this instance, a step-by-step explanation is given
on defining a relation in a graph, or a set of ordered pairs. The explanation is appropriate
for all learners and comprehensible for those struggling with this concept.
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36. A-36
Algebra 1 Standard 19:
Students know the quadratic formula and are familiar with its proof by completing the
square.
WEBSITE: http://www.mathops.com/free/a1qd009.php
ANNOTATION: In addition to a text explanation, an audio is provided. This site targets
specific algebraic concepts. This lesson focuses on completing the square and the
difference of two squares.
WEBPAGE:
37. A-37
Algebra 1 Standard 20:
Students use the quadratic formula to find the roots of a second-degree polynomial and
to solve quadratic equations.
WEBSITE: http://www.vitutor.com/alg/polynomials/polynomial_roots.html
ANNOTATION: This site provides a text explanation of finding the roots of a second-
degree polynomial. Worksheets are available to print for practice. The search mechanism
on this site is in Spanish.
WEBPAGE:
38. A-38
Algebra 1 Standard 21:
Students graph quadratic functions and know that their roots are the x-intercepts.
WEBSITE: http://www.mathwarehouse.com/quadratic/solve-quadratic-equation-by-
factoring.php
ANNOTATION: This math site has step-by-step text tutorials as well as audio tutorials
by a teacher on a whiteboard. The explanations are sequential and comprehensible. In
this instance, students are lectured on factoring. Other algebra concepts are also available
on this site. A “pie-chart maker” is also available.
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39. A-39
Algebra 1 Standard 22:
Students use the quadratic formula or factoring techniques or both to determine whether
the graph of a quadratic function will intersect the x-axis in zero, one, or two points.
WEBSITE: http://mathbits.com/mathbits/tisection/Algebra2/quadraticequations.htm
ANNOTATION: This site is devoted to explaining the use of the graphing calculator
when solving a quadratic equation. This explanation is helpful to those who have no idea
what to do with a graphing calculator.
WEBPAGE:
40. A-40
Algebra 1 Standard 22:
Students use the quadratic formula or factoring techniques or both to determine whether
the graph of a quadratic function will intersect the x-axis in zero, one, or two points.
WEBSITE: http://mathbits.com/mathbits/tisection/Algebra2/quadraticequations.htm
ANNOTATION: This site presents information on graphing the quadratic equation in a
manner appropriate for struggling learners. Text and graphics explain this concept. The
reading level of the text is accessible and concise.
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41. A-41
Algebra 1 Standard 23:
Students apply quadratic equations to physical problems, such as the motion of an object
under the force of gravity.
WEBSITE: http://www.montereyinstitute.org/courses/Algebra%20IB/course
%20files/multimedia/lesson29/lessonp.html
ANNOTATION: This site can be accessed through ed 1 stop under curriculum support,
“hippocampus”, algebra, applications of quadratic equations or by the web address given
above. The program is an interactive text book with questions on the quadratic equation
as it pertains to projectiles, length and width of objects and real world applications. A
step-by-step lesson is included as well as an interactive practice with feedback on correct
and incorrect answers. All algebra standards are available on this site.
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42. A-42
Algebra 1 Standard 24:
Students use and know simple aspects of a logical argument: Students explain the
difference between inductive and deductive reasoning and identify and provide examples
of each. Students identify the hypothesis and conclusion in logical deduction.
Students use counterexamples to show that an assertion is false and recognize that a
single counterexample is sufficient to refute an assertion.
WEBSITE: http://www.ed1stop.net/digitalmath1.6/dmholder.jsp
ANNOTATION: Digital math is available through ED1 stop at the Contra Costa County
Office of Education web site or at the web address listed above. This program has video
of two teachers using an over head projector on a white paper to solve the algebra
problem given. It does the job.
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43. A-43
Algebra 1 Standard 25:
Students use properties of the number system to judge the validity of results, to justify
each step of a procedure, and to prove or disprove statements: Students use properties of
numbers to construct simple, valid arguments (direct and indirect) for, or formulate
counterexamples to, claimed assertions. Students judge the validity of an argument
according to whether the properties of the real number system and the order of
operations have been applied correctly at each step. Given a specific algebraic statement
involving linear, quadratic, or absolute value expressions or equations or inequalities,
students determine whether the statement is true sometimes, always, or never.
WEBSITE: http://glencoe.mcgraw-hill.com/sites/0078778522/student_view0/
ANNOTATION: This site is the web support provided by the publisher for the Glencoe
Algebra 1 textbook. All algebra standards are addressed. The personal tutor on the left
column of the website has a teacher using a smart board to give a step-by-step instruction
of solving problems. The website also has on-line testing, worksheets and California
standards practice.
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