Mr. Reimer's Internet Resources

The number of resources available on the Internet is HUGE.  Here are just a few.

Arithmetic & Basic Math
Pre-Algebra - General Sites
Pre-Algebra - Unit Specific
Trigonometry

Old Fashioned Book(s)

OK, so this first resource is not an Internet Resource...  But I've heard reviews, heard her speak at a conference, and finally over the summer read two books by Danica McKellar (you may know her from reruns of The Wonder Years and also The West Wing.  What she does well is to present middle school math in a light easy way that is fun to read.  It also aims to build confidence.  Her audience is girls, but guys, if you can get through all that "relationship" stuff it should help you too.  And it might help you understand something about how girls think... 

The two books I read are:  Math Doesn't Suck  and Kiss My Math.  We learn concepts from both books.  I borrowed copies from our public library.  But I know you can pick up a copy at a bookstore or Internet too. 

I've been working with the Librarian with these.  He is in the planning stages to set up a new program for students who scored well on NJASK Language Arts, but low in Math, to work together in a book club to read and discuss Kiss My Math.

                             Arithmetic & Basic Math:

Arithmetic:

http://www.aaaknow.com/add38cx1.htm   (addition)

http://www.aaaknow.com/add.htm   (addition)

http://www.businessbookmall.com/Unit%203.pdf (addition)

http://www.aaastudy.com/sub38osx.htm   (subtraction)

http://www.aaaknow.com/sub.htm   (subtraction)

http://www.basic-mathematics.com/subtracting-whole-numbers.html (subtraction)

http://www.aaaknow.com/mul310x4.htm   (multiplication)

http://www.aaaknow.com/mul_5x3.htm   (multiplication)

http://www.aaaknow.com/mul.htm   (multiplication)

http://www.basic-mathematics.com/multiplying-whole-numbers.html (multiplication)

http://www.aaaknow.com/div4db2r.htm   (division)

http://www.aaaknow.com/div5db3r.htm   (division)

http://www.aaaknow.com/div.htm   (division)

http://www.basic-mathematics.com/dividing-whole-numbers.html (division)

Open Ended Problems:

        http://www.fi.edu/school/math2/

Videos:

http://www.khanacademy.org/ 

http://www.mathtv.com/videos_by_topic

http://www.teachertube.com  (lots - of varying quality)

Various topics:

http://www.homeschoolmath.net/teaching/

http://www.math.com/

http://www.sosmath.com/algebra/algebra.html

http://mathpower.com/myclass.htm

http://www.factmonster.com/mathmoney.html

Worksheets on various topics:

http://www.homeschoolmath.net/worksheets/

http://www.edhelper.com/middle_school_math.htm  (you need to sign up for this)

 Q&A on lots of topics:

http://mathforum.org/dr.math/ (an excellent site!)

 Virtual manipulations (ways to manipulate or see the concept visually):

http://nlvm.usu.edu/en/nav/vlibrary.html

 Dictionary of basic math terms:

http://www.amathsdictionaryforkids.com/

Pre-Algebra/Algebra - General Sites

Various topics:

http://www.purplemath.com/index.htm

http://www.sosmath.com/algebra/algebra.html

http://www.algebasics.com/

http://mathpower.com/myclass.htm

 

 Videos:

http://www.khanacademy.org/  (topics include Linear Equations, Solving Inequalities, Graphing, Slope, Averages, Percents, Systems of Equations, Age Problems, Multiplying Expressions, Quadratics, Imaginary Numbers, Complex Numbers, Functions, Logs, Motion Problems, Conics <hyperbolas, ellipses, parabolas>)...  Look under the Algebra and California test standards sections)

http://www.mathtv.com

http://www.teachertube.com  (lots - of varying quality)

www.wikipedia.org  Good math definitions

www.mathtrain.tv  Nice short videos

Worksheets (you will need to sign up for this):

http://www.edhelper.com/algebra.htm

 Q&A on lots of topics: 

http://mathforum.org/dr.math/  (an excellent site!)

 Virtual manipulations (ways to manipulate or see the concept visually)

http://nlvm.usu.edu/en/nav/vlibrary.html

 Common Algebra errors & flash card practice

http://mathmistakes.info/

Pre-Algebra - By Unit    (we will fill in holes this year)

   Welcome)

             http://www.purplemath.com/stdysrvy.htm   Study Skills Survey  - used in class

    1) Integers & Exponents

  http://www.mathguide.com/lessons/Integers.html Integer Operations

http://teachertube.com/viewVideo.php?video_id=308&title=Adding_Negative_NumbersStudent Practice p167 #18 – 36   
                "Muchomath" Adding Integers - used in class

http://www.mathgoodies.com/lessons/vol5/addition.html Adding Integers

http://teachertube.com/viewVideo.php?video_id=46024&title=Subtracting_Negative_Numbers  "Muchomath" Subtracting Integers - used in class

http://www.aaamath.com/g5_65_x3.htm Subtracting Integers

http://www.mathgoodies.com/lessons/vol5/subtraction.html Subtracting Integers

http://www.math.com/school/subject1/lessons/S1U1L12GL.html Multiplying & Dividing Integers

http://www.learningwave.com/chapters/integers/mlt.html Multiplying Integers

http://www.learningwave.com/chapters/integers/div.html Dividing Integers

    2) Order of Operations  (and other arithmetic properties)

  http://www.teachertube.com/view_video.php?viewkey=4dbd958c2ec5b3370591  Order of Operations - used in class

http://www.coolmath.com/prealgebra/06-properties/07-properties-additive-inverse-01.htm Additive Identity

http://www.northstarmath.com/sitemap/MultiplicativeProperty.html Multiplicative Properties

http://net.cmsdnet.net/Schools/Math/sld015.htm Multiplicative Property of 0

http://www.purplemath.com/modules/numbprop.htm Commutative, Associative & Distributive Properties

http://www.onlinemathlearning.com/number-properties.html Commutative, Associative & Distributive Properties

    3) Fractions (and Unit Analysis)

           http://www.mathsisfun.com/greatest-common-factor.html Greatest Common Factor (GCF)

            http://www.helpwithfractions.com/greatest-common-factor.html Greatest Common Factor (GCF)

            http://www.mathsisfun.com/improper-fractions.html Improper Fractions

            http://library.thinkquest.org/J002328F/impmix.htm Convert Improper Fractions & Mixed Numbers

            http://www.visualfractions.com/index.htm Lots of fraction work

            http://blip.tv/file/993419/  My podcast on Rational number basics - used in class

             http://teachertube.com/viewVideo.php?video_id=156&title=Mrs__Burk_s_Simplify_Rap     Mrs. Burke's Fraction
             Simplification  - used in class

            http://www.mathsisfun.com/simplifying-fractions.html Fraction Simplification

            http://www.math.com/school/subject1/lessons/S1U4L2GL.html Fraction Simplification

http://teachertube.com/viewVideo.php?video_id=45043&title=Add_fractions&ref=freimer  My Storyboard on Fractions, Addition, Fraction Uses - used in class

http://www.helpingwithmath.com/by_subject/fractions/fra_adding_subtracting.htm Adding & Subtracting Fractions

http://www.themathpage.com/arith/add-fractions-subtract-fractions-1.htm Adding & Subtracting Fractions or Mixed Numbers

http://www.basic-mathematics.com/adding-fractions-word-problems.html Adding fractions word problems

http://www.onlinemathlearning.com/fraction-problems.html Fraction word problems

http://www.mathsisfun.com/fractions_multiplication.html Fraction multiplication

http://www.math.com/school/subject1/lessons/S1U4L4GL.html Fraction multiplication

http://www.mathsisfun.com/fractions_division.html Fraction division

http://www.math.com/school/subject1/lessons/S1U4L5GL.html Fraction division

http://teachertube.com/members/viewVideo.php?video_id=155&title=Mrs__Burk_s_Measurement_Rap     Mrs. Burke's
             Measurement - used in class

    A0) Variables, 1-Step Solves & 2-Step Solves

  http://www.algebrahelp.com/lessons/simplifying/substitution/ Substitution

http://www.onlinemathlearning.com/solve-equations.html 1-Step Addition or Subtraction Solves

http://www.purplemath.com/modules/solvelin.htm 1-Step Solves

http://www.algebralab.org/lessons/lesson.aspx?file=algebra_onevariabletwostep.xml 2-Step Solves

http://www.onlinemathlearning.com/two-step-equations.html 2-Step Solves

http://www.mathmastery.com/math/equations/Solving-Two-Step-Equations-and-Word-Problems 2-Step Solve word problems

    4) Decimals & Percentages (and Solving 3 Percent Problems, Percent Increase/Decrease, Percent Applications)

http://alexkajitani.com/rappin_mathematician_vol1.html   Rap on adding or subtracting decimals "Line up the dot" - used in class

http://teachertube.com/viewVideo.php?video_id=21027&title=DISCOUNT_PRICES__SALE__SALE__SALE_                   Percents & Discounts  - used in class

    5) Ratios, Rates & Proportions

    6) Probability (and Simulations)

    7) Statistical Analysis & Data Display

    8) Scientific Notation

http://teachertube.com/viewVideo.php?video_id=31309&title=Scientific_Notation  Scientific Notation - used in class

    9) Roots & Radicals

http://www.mathsisfun.com/square-root.html Square Roots ***

http://www.math.com/school/subject1/lessons/S1U1L9DP.html Square Roots

http://www.ehow.com/how_4736938_estimate-square-roots-radicals.html Estimating Square Roots

http://en.wikipedia.org/wiki/Square_root Square Roots (more than you may ever want to know...)

    10) Cartesian Plane (and converting equations/tables/graphs, functions, interpreting graphs, sequences)

http://teachertube.com/viewVideo.php?video_id=65367&title=Coordinate_Plane
The Cartesian Coordinate System - used in class

    11) Pythagorean Theorem, Distance and Midpoint formulae

http://teachertube.com/viewVideo.php?video_id=9685&title=Pythagorean_Theorem  The Pythagorean Theorem - used in class

http://www.mathopenref.com/pythagorastheorem.html Pythagorean Theorem

http://teachertube.com/viewVideo.php?video_id=14469&title=Ask_This_Old_House_Demo___Pythagorean_Theorem____More  Real Life Application of the Pythagorean Theorem - used in class

http://www.freemathhelp.com/q6-right-triangle.html Pythagorean Theorem solves

http://www.mathmastery.com/math/geometry/Right-Triangles/Right-Triangle-Word-Problems  Pythagorean Theorem word problems

http://www.purplemath.com/modules/rghtprob.htm Pythagorean Theorem word problems

    12) 2D Geometry - Perimeter & Circumference (start w/ Geometry basics & angles)

http://www.mathgoodies.com/lessons/vol1/perimeter.html  Perimeter

    13) 2D Geometry - Area

http://www.mathsteacher.com.au/year7/ch13_area/02_calc/area.htm Area

    14) 2D Geometry - Transformations (and tessellations)

    15) 3D Geometry  (and orthogonal drawing)

    16) Like Terms, Distributive Property

http://www.purplemath.com/modules/numbprop.htm Commutative, Associative & Distributive Properties

http://www.onlinemathlearning.com/number-properties.html Commutative, Associative & Distributive Properties

    17) Complicated Solves

http://www.algebralab.org/studyaids/studyaid.aspx?file=Algebra1_3-5.xml Shortcut in solving equations with fractions or decimals

http://www.algebrahelp.com/lessons/simplifying/combiningliketerms/ Combining Like Terms           

          http://teachertube.com/viewVideo.php?video_id=85349&title=The_Distributive_Property  "Muchomath"
            Distribution property

http://www.purplemath.com/modules/numbprop.htm Commutative, Associative & Distributive Propertie

http://www.onlinemathlearning.com/number-properties.html Commutative, Associative & Distributive Properties

http://math.about.com/od/algebra/a/distributive.htm Distributive Property

http://www.algebrahelp.com/lessons/simplifying/distribution/ Distribution Property

http://www.onlinemathlearning.com/equations-distributive-property.html Solves using Distribution

    18) Graphing Linear Equations (if time)

http://teachertube.com/viewVideo.php?video_id=40665&title=Math_Minute___Coordinate_Graphing
Graphing linear equations using points - used in class

Mr. R's Slope Rap Slope Rap PowerPoint - used in class

    19) Solving Linear Inequalities (if time)

    20) Graphing Linear Inequalities (if time)

"Delicious" Social Bookmarking
        Delicious YouTube Guide
        Delicious PowerPoint

 Trigonometry:

 Trig primers:

http://www.clarku.edu/~djoyce/trig/apps.html  (Dave’s short course in Trig is very good)

http://www.ping.be/~ping1339/gonio.htm#Trigonometric-functi

http://id.mind.net/~zona/mmts/trigonometryRealms/trigonometryRealms.html

http://www.themathpage.com/atrig/trigonometry.htm

 Pre-Calc primer:

http://home.alltel.net/okrebs/

http://www.sosmath.com/algebra/algebra.html

 Q&A on lots of topics:

http://mathforum.org/dr.math/  (an excellent site!)

 Common Trig mistakes & flash cards for practice:

http://mathmistakes.info/

 Trig applets:

http://www.univie.ac.at/future.media/moe/galerie/fun2/fun2.html#sincostan

Shows Sin/Cos as triangle, unit circle & wave.  We used this in class

http://catcode.com/trig/index.html

http://nlvm.usu.edu/en/nav/frames_asid_164_g_4_t_3.html?open=instructions
(Geometric visualization of the Pythagorean theorem).

Mini online quizzes (definitions, values of trig f(), identities):

http://www.batesville.k12.in.us/physics/CalcNet/Trig_Review/Trig_Review.html

Trig/Pre-Calculus videos:

http://www.khanacademy.org/  (topics include Basic Trig, Radians, Trig functions, Unit Circle, Graphs, Trig Identities, Sine of Sums/Differences, Circular Motion problems <e.g. Ferris Wheel problem>, Law of Sines, Law of Cosines, Navigation, Polar Coordinates, Inverses, Compound Interest, Exponential Growth, Parametric Equations, Imaginary Numbers <in Algebra section>, Complex Numbers <in Algebra section>) ...  Look under the Trigonometry and Pre-Calculus sections)

http://www.mathtv.com/videos_by_topicTrig/pages/toc.htm

http://www.teachertube.com  (lots - of varying quality)

http://www.authorstream.com/presentation/freimer-74236-Angles-Degrees-part1-standardposition-and-degr-Education-ppt-powerpoint/  1st half of my Radians PowerPoint  (streaming disabled some animation)

http://www.authorstream.com/presentation/freimer-74244-Angles-Degrees-part2-measurement-conversion-DMS-and-degr-Education-ppt-powerpoint/  2nd half of my Radians PowerPoint  (streaming disabled some animation)

Several real life uses of trig (from Wikipedia):

http://www.answers.com/topic/uses-of-trigonometry

Trig triangle solvers:

http://id.mind.net/~zona/mmts/trigonometryRealms/solvers/rtTriSolvers/rtTriSolversHome.htm

Various trig links:

http://www.kn.att.com/wired/fil/pages/listtrigonomco.html

http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html  (online graphing calculator)

 

Trig / Pre-Calculus

1.       Prerequisites (a quick touch up on what you already should know)

2.      Angles, Arcs, Linear & Angular Speed

a.       Positive & negative angles; Angle standard position; Co-terminal angles. (mrrtrigcp2a)

http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm (standard position)

b.      Unit analysis (mrrtrigcp2b)

c.       Degrees/minutes/seconds & radians; Circle arcs (mrrtrigcp2c)

d.      Linear & angular speed; Circular motion (mrrtrigcp2d)

3.      Trig Function Representations:  Triangles, Unit Circle, Waves

a.       Unit Circle (mrrtrigcp3a)

b.      Trig properties: Even & Odd, Period, Reciprocal, Quotient, Pythagorean, Complementary angles  (mrrtrigcp3b)

c.       Domain & Range of all Trig functions; Graphs of trig functions  (mrrtrigcp3c)

d.      The six trig functions; Trig values for 0, 30, 45, 60, 90, …; Estimating trig values (mrrtrigcp3d)

e.       Reference angles & reference triangles, Signs of trig functions in each quadrant (mrrtrigcp3e)

http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm (reference angles)

http://www.mathwarehouse.com/trigonometry/reference-angle/finding-reference-angle.php (reference angles)

http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceTriangles.htm (reference triangles)

f.        Transformations of trig functions:  vertical rise, vertical stretch, reflection across x-axis, horizontal stretch, phase shift, reflection across y-axis. (mrrtrigcp3f)

g.       Trig function applications of sinusoidal situations using trig functions (mrrtrigcp3g)

4.      Trig Function Inverses & Right Triangle Applications

a.       Domain & Range of trig inverses; Angles vs. numbers (mrrtrigcp4a)

b.      Handling  un-defined quadrants; Imbedded functions; cancelling, substitution (mrrtrigcp4b)

c.       Creating Algebraic expressions (mrrtrigcp4c)

d.      Solving right triangles & applications thereof  (mrrtrigcp4d)

e.       “King Kong” solve; “Height of Mountain” solve; “Lighthouse” solve – using curvature of Earth (mrrtrigcp4e)

f.        Bearing solves. (mrrtrigcp4f)

5.      Analytical Trigonometry:  Proving Identities (mrrtrigcp5)

6.      Solving Trigonometric Equations

a.       Single term arguments (angles known & unknown) – all quadrants (mrrtrigcp6a)

b.      Complex arguments – using “k” (angles known & unknown) – all quadrants(mrrtrigcp6b)

c.       Quadratics; using trigonometric identities; solving by graphing (mrrtrigcp6c)

http://library.thinkquest.org/29292/ (non-trig quadratics)

http://www.tech.plym.ac.uk/maths/resources/PDFLaTeX/quadratics.pdf (non-trig quadratics)

7.      Analytical Trigonometry:  Complex Angles & Arithmetic Combinations

a.       Sum & Difference angle formulae;  Double angle formulae; Half angle formulae; Reductions; Product to Sum formulae; Sum to Product formulae (mrrtrigcp7a)

http://www.sosmath.com/trig/prodform/prodform.html (product & sum formulae)

http://www.intmath.com/analytic-trigonometry/2-sum-difference-angles.php (sum & difference formulae)

http://www.regentsprep.org/Regents/math/algtrig/ATT14/formulalesson.htm (sum & difference, double, half angle formulae)

b.      Trigonometric to Algebraic conversions (mrrtrigcp7b)

8.      Trig Applications:  Law of Sines, Law of Cosines, Area

a.       Law of Sines (including ambiguous case) (mrrtrigcp8a)

b.      Law of Cosines; Triangle Area (including Heron’s Formula) (mrrtrigcp8b)

http://www.regentsprep.org/regents/math/algtrig/att12/lawofcosines.htm (law of cosines)

9.      Complex Numbers, Polar Representations & Vectors

a.       Rectangular complex numbers; Operations; Solves (mrrtrigcp9a)

http://en.wikipedia.org/wiki/Complex_number (complex #s & operations)

http://www.electronics-tutorials.ws/accircuits/complex-numbers.html (complex #s & operations)

b.      Polar order pairs; Polar complex numbers; Polar equations;  Polar complex arithmetic (mrrtrigcp9b)

http://www.allaboutcircuits.com/vol_2/chpt_2/5.html (polar & rectangular)

http://www.allaboutcircuits.com/vol_2/chpt_2/6.html (polar & rectangular)

c.       Conversions between Rectangular ordered pairs, rectangular complex numbers, polar ordered pairs, and Polar Complex numbers (mrrtrigcp9c)

http://www.electronics-tutorials.ws/accircuits/complex-numbers.html (conversions)

http://www.docstoc.com/docs/4529454/Complex-Numbers-in-Rectangular-and-Polar-Forms (conversions)

d.      Complex roots; Solves using complex roots (mrrtrigcp9d)

http://www.math.siu.edu/kocik/java/roots.htm (visual of roots)

http://www.intmath.com/Complex-numbers/7_Powers-roots-deMoivre.php (finding roots)

e.      Graphical vectors;  Algebraic vectors; Vector magnitudes; Vector real-life problems; Multi-dimensional vectors (mrrtrigcp9e)

f.        Dot product; Orthogonal vectors; Vector projections; Force & Work (mrrtrigcp9f)

10.  Exponential and Logarithmic Functions

a.       Growth & Decay exponential functions; Transformations (mrrtrigcp10a)

b.      Logarithmic functions; Log properties; Change of base (mrrtrigcp10b)

c.       Fitting Data to function; Real world exponential or logarithmic applications (mrrtrigcp10c)

d.      Exponential & Logarithmic solves (mrrtrigcp10d)

 

 Revised 12/11/10

Many thanks to the Vernon Township Education Foundation, who made available and approved the grant making this site possible.

All external links are intended for educational purpose only.  VTSD is not responsible for questionable or controversial content that may be found through links external to this site.

Sources:                                                                                                                                                                    Site Revised 3/3/12

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