Annotated algebra 1 technology resources

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Annotated algebra 1 technology resources

  1. 1. A-1Algebra 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 arithmeticoperations .WEBSITE:http://www.saddleback.edu/faculty/lperez/algebra2go/begalgebra/index.html#realANNOTATION: This site contains activities to support algebra instruction. Thisparticular module addresses the real number system, algebraic properties and basicarithmetic operations. The following tools are available on this site: class notes, videoworksheet and lectures from teacher tube and you tube.WEBPAGE:
  2. 2. A-2Algebra 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 arithmeticoperations .WEBSITE: http://www.math.com/school/subject2/lessons/S2U3L2GL.htmlANNOTATION: This math.com site offers step-by-step text explanation and worksheetsto reinforce basic algebra concepts. This particular activity addresses solvingmultiplication equations.WEBPAGE:
  3. 3. A-3Algebra 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 arithmeticoperations .WEBSITE: http://www.youtube.com/watch?v=yAHonwohXBkANNOTATION: This you tube site features a teacher using a white board to explain thefour basic algebra properties. This video is sequential and comprehensible.WEBPAGE:
  4. 4. A-4Algebra 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 arithmeticoperations .WEBSITE: http://amby.com/educate/ord-op/ANNOTATION: This site features an interactive tutorial on the order of operations. Aslide show is also available on this topic.WEBPAGE:
  5. 5. A-5Algebra 1 Standard 2:Students understand and use such operations as taking the opposite, finding thereciprocal, taking a root, and raising to a fractional power. They understand and use therules of exponents.WEBSITE: http://www.mathwarehouse.com/algebra/exponents/ANNOTATION: This site provides graphic explanations on algebraic concepts. Thisparticular module addresses the concept, function and application of exponents.WEBPAGE:
  6. 6. A-6Algebra 1 Standard 2:Students understand and use such operations as taking the opposite, finding thereciprocal, taking a root, and raising to a fractional power. They understand and use therules of exponents.WEBSITE:http://www.ltcconline.net/greenl/java/BasicAlgebra/ExponentRules/ExponentRules.htmlANNOTATION: This site drills the concept on exponents with an interactive appletoffering three types of practice in exponents. The problems generated are categorized aseasy, medium or difficult. A random category of problem generation is also available.WEBPAGE:
  7. 7. A-7Algebra 1 Standard 2:Students understand and use such operations as taking the opposite, finding thereciprocal, taking a root, and raising to a fractional power. They understand and use therules of exponents.WEBSITE: http://www.mathsisfun.com/algebra/exponent-fractional.htmlANNOTATION: This site presents algebra concepts in a user friendly formatA text explanation and graphics are comprehensible.This lesson is on exponents, radicals and fractional powers.WEBPAGE:
  8. 8. A-8Algebra 1 Standard 3:Students solve equations and inequalities involving absolute values.WEBSITE: http://www.sci.uidaho.edu/polya/math108/On-Line_Lectures/chapter03.htmANNOTATION: This site provides a video tutorial in all algebra concepts. In thisparticular reference, a college professor explains the concept of equations and inequalitiesinvolving absolute values. The commentary is accessible to all learners.WEBPAGE:
  9. 9. A-9Algebra 1 Standard 4:Students simplify expressions before solving linear equations and inequalities in onevariable, such as 3(2x-5) + 4(x-2) = 12.WEBSITE:http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut14_lineareq.htmANNOTATION: This site is has a virtual math lab. It has step-by-step examples ofalgebraic concepts with text explanation and video examples. The example referencedexplains equations and inequalities with one variable.WEBPAGE:
  10. 10. A-10Algebra 1 Standard 4:Students simplify expressions before solving linear equations and inequalities in onevariable, such as 3(2x-5) + 4(x-2) = 12.WEBSITE: http://www.youtube.com/watch?v=tdiNDwKOBvw&feature=relatedANNOTATION: This you tube video, the “Video Math Tutor” address the concept ofequations. Content vocabulary is addressed.WEBPAGE:
  11. 11. A-11Algebra 1 Standard 5:Students solve multi-step problems, including word problems, involving linear equationsand 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.htmlANNOTATION: This site has a virtual balance that is a simulation of balancingequations in one variable. It is a useful tool for struggling learners.WEBPAGE:
  12. 12. A-12Algebra 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., theysketch the region defined by 2x + 6y < 4).WEBSITE: http://www.mathsnet.net/graphs/lmxcb2.htmlANNOTATION: This interactive graphing simulation reinforces the concept of a linearequation on a Cartesian plane. This site reinforces the concept of rise and run and pointson a line. It may be useful for struggling learners.WEBPAGE:
  13. 13. A-13Algebra 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., theysketch 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 touse a simple interactive graphing application to find ordered pairs.WEBPAGE:
  14. 14. A-14Algebra 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., theysketch 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.htmlANNOTATION: This site may be accessed through ED 1 stop at the Contra CostaCounty Office of education under the McDougal Littel Algebra book computeranimations or from the web address provided below. This site provides animations ofmathematical concepts such as graphing the x and y intercepts. The site also provides ane workbook, e flash cards of mathematical content vocabulary, interactive practiceproblems and quizzes.WEBPAGE:
  15. 15. A-15Algebra 1 Standard 7:Students verify that a point lies on a line, given an equation of the line. Students are ableto 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 conceptof graphing linear equations. This site is considered pre-calculus, but the tool itself ishelpful to practice graphing slope-intercept form.WEBPAGE:
  16. 16. A-16Algebra 1 Standard 7:Students verify that a point lies on a line, given an equation of the line. Students are ableto derive linear equations by using the point-slope formula.WEBSITE: http://hotmath.com/hotmath_help/games/ctf/ctf_hotmath.swfANNOTATION: This interactive game will help struggling learners reinforce theconcept of ordered pairs.WEBPAGE:
  17. 17. A-17Algebra 1 Standard 7:Students verify that a point lies on a line, given an equation of the line. Students are ableto derive linear equations by using the point-slope formula.WEBSITE: http://plaza.ufl.edu/youngdj/lesson/method3.htmANNOTATION: This interactive tutorial gives text explanation on slides, followed bydrill and practice in deriving linear equations by the using the point-slope formula.This site may be of use for struggling learners.WEBPAGE:
  18. 18. A-18Algebra 1 Standard 8:Students understand the concepts of parallel lines and perpendicular lines and how thoseslopes are related. Students are able to find the equation of a line perpendicular to agiven line that passes through a given point.WEBSITE:http://www.terragon.com/tkobrien/algebra/topics/perpendicularlines/perpendicularlines.htmlANNOTATION: This site gives text explanation, step-by-step examples of equationsand a graphing applet.WEBPAGE:
  19. 19. A-19Algebra 1 Standard 9:Students solve a system of two linear equations in two variables algebraically and areable to interpret the answer graphically. Students are able to solve a system of two linearinequalities in two variables and to sketch the solution sets.WEBSITE: http://zonalandeducation.com/ezGraph/ezGraph.htmlANNOTATION: This online graphics calculator can be used to create graphs for anytype of function. Any polynomial, rational, exponential, logarithmic, or trigonometricfunction can be drawn with it. After entering variables into the function definition, theeffect of changing the functions coefficients affect the shape of the graph. Use a mousedrag and click to zoom. Also, coordinates on the graph can be identified with a mouseclick.WEBPAGE:
  20. 20. A-20Algebra 1 Standard 9:Students solve a system of two linear equations in two variables algebraically and areable to interpret the answer graphically. Students are able to solve a system of two linearinequalities in two variables and to sketch the solution sets.WEBSITE: http://www.sosmath.com/soe/SE2001/SE2001.htmlANNOTATION: This site provides a text explanation of algebra concepts, such assolving linear equations with two variables. The tutorials are comprehensible, but it iswritten in the format of an online textbook and is not interactive.WEBPAGE:
  21. 21. A-21Algebra 1 Standard 10:Students add, subtract, multiply, and divide monomials and polynomials. Students solvemulti-step problems, including word problems, by using these techniques.WEBSITE: http://coe.indstate.edu/faculty/burdenrobin/Polynomial_files/frame.htmANNOTATION: This site, Polynomial Jeopardy, is a review of polynomials including:key terms, addition, subtraction, multiplication & factoring of polynomials, F.O.I.L., andsolving of equations. The activity is presented in a game-like format that may increasestudent engagement. It may be helpful for struggling learners.WEBPAGE:
  22. 22. A-22Algebra 1 Standard 10:Students add, subtract, multiply, and divide monomials and polynomials. Students solvemulti-step problems, including word problems, by using these techniques.WEBSITE: http://bscstudent.buffalostate.edu/kwianl56/web/division-of-polynomials-by-monomials.htmlANNOTATION: This Web page is a collection of resources on Polynomials. The Webpage includes narrated PowerPoint presentations on topics such as adding and subtractingpolynomials, The FOIL Method, factoring a Quadratic Equation, and dividing apolynomial by a monomial. There is a link to a blog on polynomials, which is a portal tonumerous quality resources on polynomials. There is also a podcast that gives you adescription of monomials, binomials, and polynomials. The snapshot of the web pagebelow is a narrated power point on dividing polynomials.WEBPAGE:
  23. 23. A-23Algebra 1 Standard 10:Students add, subtract, multiply, and divide monomials and polynomials. Students solvemulti-step problems, including word problems, by using these techniques.WEBSITE: http://bscstudent.buffalostate.edu/kwianl56/web/adding-polynomials.htmlANNOTATION: This web page features a narrated power point on adding polynomials.Mathematics vocabulary is stressed as well as a variety of methods for solving theproblems presented.WEBPAGE:
  24. 24. A-24Algebra 1 Standard 11:Students apply basic factoring techniques to second- and simple third-degreepolynomials. These techniques include finding a common factor for all terms in apolynomial, recognizing the difference of two squares, and recognizing perfect squaresof binomials.WEBSITE: http://algebracrusher.com/Documents/OA8TCP1CA_6_7_2.ppsANNOTATION: This power point is an un-narrated tutorial on factoring third degreepolynomials. It provides a step-by-step explanation of this process and gives problems tosolve that are answered on other slides. The slides must be clicked to advance.WEBPAGE:
  25. 25. A-25Algebra 1 Standard 11:Students apply basic factoring techniques to second- and simple third-degreepolynomials. These techniques include finding a common factor for all terms in apolynomial, recognizing the difference of two squares, and recognizing perfect squaresof binomials.WEBSITE: http://dragonometry.net/factorpolynomial.phpANNOTATION: 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 siteis sponsored by Holt.WEBPAGE:
  26. 26. A-26Algebra 1 Standard 12:Students simplify fractions with polynomials in the numerator and denominator byfactoring both and reducing them to the lowest terms.WEBSITE: http://www.purplemath.com/modules/fraction5.htmANNOTATION: Purple math is a free online text tutorial that gives a step-by-stepexplanation with examples of algebra concepts. This particular module focuses onsimplifying fractions with polynomials. This site is not interactive, but is helpful.WEBPAGE:
  27. 27. A-27Algebra 1 Standard 13:Students add, subtract, multiply, and divide rational expressions and functions. Studentssolve both computationally and conceptually challenging problems by using thesetechniques.WEBSITE: http://eom.springer.de/R/r077410.htmANNOTATION: This online mathematics encylopedia is a reference for mathematicaldefinitions, concepts, explanations, surveys, examples, terminology and methods, whichare useful for building academic content vocabulary in mathematics. Their are over50,000 notations, so absolutely any mathematical term can be found and explained.In this instance, an explanation of functions is provided.WEBPAGE:
  28. 28. A-28Algebra 1 Standard 13:Students add, subtract, multiply, and divide rational expressions and functions. Studentssolve both computationally and conceptually challenging problems by using thesetechniques.WEBSITE: http://wims.unice.fr/wims/wims.cgi?lang=en&module=H4/algebra/segfrac.enANNOTATION: This site is an interactive tutorial on decomposing rational numbers.WEBPAGE:
  29. 29. A-29Algebra 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_Completing_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.WEBPAGE:
  30. 30. A-30Algebra 1 Standard 15:Students apply algebraic techniques to solve rate problems, work problems, and percentmixture problems.WEBSITE: http://www.algebrahelp.com/lessons/wordproblems/basics/ANNOTATION: This algebra.com site provides step-by-step text help in solvingalgebra problems. Calculators, worksheets and resources are provided. All basic algebraconcepts are addressed.WEBPAGE:
  31. 31. A-31Algebra 1 Standard 15:Students apply algebraic techniques to solve rate problems, work problems, and percentmixture problems.WEBSITE: http://amby.com/educate/math/4-2_prop.htmlANNOTATION: This site offers a review of using the proportion method to solvepercent problems. A step-by-step- explanation incorporates a format similar to an onlinetextbook. Sample problems are included with the answers given.WEBPAGE:
  32. 32. A-32Algebra 1 Standard 15:Students apply algebraic techniques to solve rate problems, work problems, and percentmixture problems.WEBSITE:http://www.hippocampus.org/course_locator;jsessionid=1FA37F05C5EACC6D067B79303547C124?course=AlgebraIA&lesson=18&topic=1&width=995&height=829&topicTitle=Solving%20rate%20problems&skinPath=http://www.hippocampus.org/hippocampus.skins/defaultANNOTATION: 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 interactiveskill building problem solving activity. These problems ask the user to solve rate, workand coin problems.WEBPAGE:
  33. 33. A-33Algebra 1 Standard 16:Students understand the concepts of a relation and a function, determine whether a givenrelation defines a function, and give pertinent information about given relations andfunctions.WEBSITE: http://www.wolframalpha.com/input/?i=plot+x%5E3+-+6x%5E2+%2B+4x+%2B+12ANNOTATION: Wolfram Alpha is a free online computational knowledge engine thatgenerates answers to questions in real time by doing computations on its own vastinternal knowledge base. This particular module references plotting and graphing afunction. 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 asbasic mathematics, geometry and calculus. In order to interact with this application, youmust download the free mathematica player.WEBPAGE:
  34. 34. A-34Algebra 1 Standard 17:Students determine the domain of independent variables and the range of dependentvariables defined by a graph, a set of ordered pairs, or a symbolic expression.WEBSITE:http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/DomainRangeGraph/DomainRangeGraph.htmlANNOTATION: This site gives an interactive tutorial by problem solving. Graphingdomain and range problems are addressed.WEBPAGE:
  35. 35. A-35Algebra 1 Standard 18:Students determine whether a relation defined by a graph, a set of ordered pairs, or asymbolic expression is a function and justify the conclusion.WEBSITE:http://www.wonderwhizkids.com/Maths/Set+Theory/Relations/Relations.htmlANNOTATION: This site is a wiki with a very comprehensive textual and graphicexplanation of many algebra topics. In this instance, a step-by-step explanation is givenon defining a relation in a graph, or a set of ordered pairs. The explanation is appropriatefor all learners and comprehensible for those struggling with this concept.WEBPAGE:
  36. 36. A-36Algebra 1 Standard 19:Students know the quadratic formula and are familiar with its proof by completing thesquare.WEBSITE: http://www.mathops.com/free/a1qd009.phpANNOTATION: In addition to a text explanation, an audio is provided. This site targetsspecific algebraic concepts. This lesson focuses on completing the square and thedifference of two squares.WEBPAGE:
  37. 37. A-37Algebra 1 Standard 20:Students use the quadratic formula to find the roots of a second-degree polynomial andto solve quadratic equations.WEBSITE: http://www.vitutor.com/alg/polynomials/polynomial_roots.htmlANNOTATION: This site provides a text explanation of finding the roots of a second-degree polynomial. Worksheets are available to print for practice. The search mechanismon this site is in Spanish.WEBPAGE:
  38. 38. A-38Algebra 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.phpANNOTATION: This math site has step-by-step text tutorials as well as audio tutorialsby a teacher on a whiteboard. The explanations are sequential and comprehensible. Inthis instance, students are lectured on factoring. Other algebra concepts are also availableon this site. A “pie-chart maker” is also available.WEBPAGE:
  39. 39. A-39Algebra 1 Standard 22:Students use the quadratic formula or factoring techniques or both to determine whetherthe graph of a quadratic function will intersect the x-axis in zero, one, or two points.WEBSITE: http://mathbits.com/mathbits/tisection/Algebra2/quadraticequations.htmANNOTATION: This site is devoted to explaining the use of the graphing calculatorwhen solving a quadratic equation. This explanation is helpful to those who have no ideawhat to do with a graphing calculator.WEBPAGE:
  40. 40. A-40Algebra 1 Standard 22:Students use the quadratic formula or factoring techniques or both to determine whetherthe graph of a quadratic function will intersect the x-axis in zero, one, or two points.WEBSITE: http://mathbits.com/mathbits/tisection/Algebra2/quadraticequations.htmANNOTATION: This site presents information on graphing the quadratic equation in amanner appropriate for struggling learners. Text and graphics explain this concept. Thereading level of the text is accessible and concise.WEBPAGE:
  41. 41. A-41Algebra 1 Standard 23:Students apply quadratic equations to physical problems, such as the motion of an objectunder the force of gravity.WEBSITE: http://www.montereyinstitute.org/courses/Algebra%20IB/course%20files/multimedia/lesson29/lessonp.htmlANNOTATION: This site can be accessed through ed 1 stop under curriculum support,“hippocampus”, algebra, applications of quadratic equations or by the web address givenabove. The program is an interactive text book with questions on the quadratic equationas it pertains to projectiles, length and width of objects and real world applications. Astep-by-step lesson is included as well as an interactive practice with feedback on correctand incorrect answers. All algebra standards are available on this site.WEBPAGE:
  42. 42. A-42Algebra 1 Standard 24:Students use and know simple aspects of a logical argument: Students explain thedifference between inductive and deductive reasoning and identify and provide examplesof each. Students identify the hypothesis and conclusion in logical deduction.Students use counterexamples to show that an assertion is false and recognize that asingle counterexample is sufficient to refute an assertion.WEBSITE: http://www.ed1stop.net/digitalmath1.6/dmholder.jspANNOTATION: Digital math is available through ED1 stop at the Contra Costa CountyOffice of Education web site or at the web address listed above. This program has videoof two teachers using an over head projector on a white paper to solve the algebraproblem given. It does the job.WEBPAGE:
  43. 43. A-43Algebra 1 Standard 25:Students use properties of the number system to judge the validity of results, to justifyeach step of a procedure, and to prove or disprove statements: Students use properties ofnumbers to construct simple, valid arguments (direct and indirect) for, or formulatecounterexamples to, claimed assertions. Students judge the validity of an argumentaccording to whether the properties of the real number system and the order ofoperations have been applied correctly at each step. Given a specific algebraic statementinvolving 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 GlencoeAlgebra 1 textbook. All algebra standards are addressed. The personal tutor on the leftcolumn of the website has a teacher using a smart board to give a step-by-step instructionof solving problems. The website also has on-line testing, worksheets and Californiastandards practice.WEBPAGE:
  44. 44. http://www.saddleback.edu/faculty/lperez/algebra2go/prealgebra/http://www.cut-the-knot.org/games.shtmlhttp://www.cut-the-knot.org/probability.shtmlhttp://www.ies.co.jp/math/products/geo1/menu.htmlhttp://www.cut-the-knot.org/algebra.shtmlhttp://mathforum.org/~sanders/creativegeometry/incontents.htmhttp://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/DomainRangeGraph/DomainRangeGraph.htmlhttp://www.geogebra.org/cms/http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.htmlhttp://eom.springer.de/http://www.dollarsfromsense.com/http://zirkel.sourceforge.net/http://www.ltcconline.net/greenl/javahttp://nthoffice.cs.wpi.edu/cgi-bin/testIPMsL2.plhttp://www.visualfractions.com/index.htmhttp://nces.ed.gov/nceskids/createagraph/http://iweb.langara.bc.ca/mathstats/members/acooper/public_html/mathlabs/linear/index.htmhttp://www.ltcconline.net/greenl/java/Statistics/Binomial/Binomial.htmhttp://www.ltcconline.net/greenl/java/BasicAlgebra/ExponentRules/ExponentRules.htmlhttp://www.wolframalpha.com/examples/Math.htmlhttp://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.htmlhttp://zonalandeducation.com/ezGraph/ezGraph.html

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